Metrics for Hyperbolic arcsine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze108.0ms (0.9%)

Memory

17.9MiB live, 95.2MiB 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
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.7s (23.4%)

Memory

26.9MiB live, 2 845.3MiB allocated

Samples

1.0s	1 596×	2	valid
857.0ms	4 437×	1	valid
156.0ms	2 223×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-log: 987.0ms (56.1% of total)

ival-hypot: 533.0ms (30.3% of total)

ival-add: 126.0ms (7.2% of total)

adjust: 96.0ms (5.5% of total)

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

exact: 5.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain387.0ms (3.4%)

Memory

-30.6MiB live, 258.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	122	0
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	69	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	61	0
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	61

Confusion

	Predicted +	Predicted -
+	223	0
-	0	33

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	223	0	0
-	0	0	33

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	33
1	194
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

185.0ms	298×	1	valid
61.0ms	78×	2	valid
10.0ms	136×	0	valid

Compiler

Compiled 80 to 25 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-log: 128.0ms (65.4% of total)

ival-hypot: 46.0ms (23.5% of total)

adjust: 8.0ms (4.1% of total)

ival-add: 8.0ms (4.1% of total)

ival-mult: 5.0ms (2.6% of total)

ival-true: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

preprocess16.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`distribute-lft-neg-in`
28×	`sub-neg`
26×	`associate--r+`
24×	`neg-mul-1`
22×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	23	19
2	48	19
3	88	19
4	137	19
5	184	19
6	211	19
7	214	19
0	7	9
0	12	9
1	16	9
0	16	8

Stop Event

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

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 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.3%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify47.0ms (0.4%)

Memory

-29.5MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`lower-+.f32`
4×	`lift-+.f64`
4×	`lower-+.f64`
4×	`+-commutative`
2×	`lift-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	16	33
0	16	29

Stop Event

1×	iter limit
1×	saturated
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 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
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)

localize137.0ms (1.2%)

Memory

13.3MiB live, 91.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	14.25874254515585	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	16.21936154823064	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	28.492911521327397	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

69.0ms	149×	1	valid
53.0ms	39×	2	valid
5.0ms	68×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-log: 54.0ms (45.9% of total)

ival-add: 46.0ms (39.1% of total)

ival-hypot: 10.0ms (8.5% of total)

adjust: 5.0ms (4.3% of total)

ival-mult: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (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 (+ 1 (pow x 2)) (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 (+ 1 (pow x 2)) (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) (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 (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 x (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 (* x (+ 1 (* -1/6 (pow x 2)))) (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 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (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 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) (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 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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) (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))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) (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))) (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 (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 (+ 1 x) (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 (+ 1 (* x (+ 1 (* 1/2 x)))) (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 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) (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 (* 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (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))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (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 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 (/ (- 1/2 (* 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 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 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 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 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 (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 (+ 1 (* 1/2 (pow x 2))) (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 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (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 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (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 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (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))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (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) (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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (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))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (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 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

15 calls:

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

simplify203.0ms (1.8%)

Memory

18.5MiB live, 369.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
4 124×	`lower-+.f64`
4 124×	`lower-+.f32`
2 226×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	525
1	353	517
2	931	509
3	2909	479
4	7021	479
0	8073	448

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 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))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #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))
(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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 7 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite263.0ms (2.3%)

Memory

-0.6MiB live, 551.8MiB allocated

Rules

6 062×	`lower-fma.f64`
6 062×	`lower-fma.f32`
3 598×	`lower-*.f32`
3 596×	`lower-*.f64`
2 994×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
0	12	31
1	44	31
2	297	31
3	3155	31
0	8738	27

Stop Event

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

Counts

5 → 363

Calls

Call 1

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

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

eval332.0ms (2.9%)

Memory: -168.1MiB live, 142.4MiB allocated
Compiler: Compiled 12 006 to 1 635 computations (86.4% saved)

prune70.0ms (0.6%)

Memory

29.5MiB live, 151.4MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	408	13	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	13	422

Accuracy

100.0%

Counts

422 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(-.f64 (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (.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 (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x))))))))
	7.6%	(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #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)))))) (log.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))))))
▶	11.5%	(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))))
	5.1%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
▶	17.3%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
	25.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
	10.9%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
	27.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
	27.3%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	24.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
	48.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
▶	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
▶	48.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))

Compiler

Compiled 692 to 254 computations (63.3% saved)

simplify187.0ms (1.6%)

Memory

-16.8MiB live, 178.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.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	128	(neg.f64 (neg.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	192	(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	256	(neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 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	#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
cost-diff	128	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
cost-diff	0	(*.f64 x #s(literal 3/40 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))

Rules

4 096×	`lower-fma.f32`
4 084×	`lower-fma.f64`
1 488×	`lower-*.f32`
1 476×	`lower-*.f64`
738×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	332
0	65	307
1	116	307
2	258	306
3	874	306
4	2220	306
5	3629	306
6	4248	306
7	4478	306
8	4532	306
9	4544	306
10	4547	306
11	4640	306
12	4676	306
13	4676	306
14	4689	306
0	4689	291

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (log.f64 (neg.f64 (neg.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 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
x
(*.f64 x x)
(*.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)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(neg.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)))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(*.f64 x #s(literal 2 binary64))
(+.f64 x x)
x
#s(literal 2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (log.f64 (neg.f64 (neg.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 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))
(neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))
(neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))
(fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))
x
(*.f64 x x)
(*.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)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (neg.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 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(neg.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.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)))
(fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

localize311.0ms (2.7%)

Memory

-16.0MiB live, 550.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	14.753646908094426	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	16.221745255429138	(fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	27.223351739929818	(log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
accuracy	43.24180650976879	(log.f64 (neg.f64 (neg.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	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	14.258742545155856	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	16.21936154823064	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy	28.492911521327397	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	28.492911521327397	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
accuracy	46.89589034701825	#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.04296875	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
accuracy	0.37109375	(*.f64 x #s(literal -1/6 binary64))
accuracy	33.07880033246188	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
accuracy	0.09765625	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.265625	(*.f64 x #s(literal 3/40 binary64))
accuracy	32.027849718964724	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))

Samples

152.0ms	180×	1	valid
99.0ms	71×	2	valid
1.0ms	5×	0	valid

Compiler

Compiled 350 to 36 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-log: 90.0ms (41.6% of total)

ival-mult: 35.0ms (16.2% of total)

adjust: 28.0ms (12.9% of total)

ival-add: 20.0ms (9.2% of total)

const: 14.0ms (6.5% of total)

ival-hypot: 14.0ms (6.5% of total)

ival-neg: 9.0ms (4.2% of total)

ival-sub: 6.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.2%)

Memory

3.4MiB live, 42.0MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x #s(literal 2 binary64)))) (patch (log.f64 #s(approx (+ x (sqrt (+ ( x x) 1))) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (+ x (sqrt (+ ( x x) 1))) (*.f64 x #s(literal 2 binary64))) #<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 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (patch (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 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 (neg.f64 (neg.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 (neg.f64 (neg.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 (neg.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 (neg.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 (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (log.f64 (neg.f64 (neg.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 (neg.f64 (neg.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 (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (patch (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (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>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<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)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<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)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 5)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 5)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/40 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/40 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/40 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) #<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)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (patch (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (patch (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 3/2 x))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x)))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 x) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#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 (- x 1) (taylor 0 x) (#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 (- (* x (+ 1 (* -1/2 x))) 1) (taylor 0 x) (#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 (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1) (taylor 0 x) (#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 (/ -1/2 x) (taylor inf x) (#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 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) (taylor inf x) (#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 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x) (taylor inf x) (#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 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x) (taylor inf x) (#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 (* 2 x) (taylor -inf x) (#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 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))) (taylor -inf x) (#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 (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) (taylor -inf x) (#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>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(log (neg (neg (+ (* x (* x x)) (* (+ (* x x) 1) (sqrt (+ (* x x) 1)))))))
1.0ms	x	@	-inf	(+ (* (* x x) (* x -1/6)) x)
1.0ms	x	@	inf	(log (neg (neg (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
1.0ms	x	@	inf	(+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)
0.0ms	x	@	-inf	(log (neg (neg (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))

simplify437.0ms (3.8%)

Memory

21.3MiB live, 254.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 854×	`lower-fma.f64`
15 854×	`lower-fma.f32`
5 598×	`lower-+.f64`
5 598×	`lower-+.f32`
3 946×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	2794
1	988	2666
2	2867	2634
3	7375	2623
0	8095	2469

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 281

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 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))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
1
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
-1
(- x 1)
(- (* x (+ 1 (* -2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/2 x) 2)))) 1)
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1))
(* (pow x 2) (- (* 1/16 (/ 1 (pow x 6))) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))))
(* -3 (pow x 2))
(* -1 (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1 x)
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (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))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 x))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
1
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x 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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x 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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(+ (log 1/2) (log (/ -1 x)))
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(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 7/6 binary64) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 7/6 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(* -2 (log (/ 1 x)))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 6 binary64)))))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal -1/12 binary64) (pow.f64 x #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 (log.f64 #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* 3/2 (pow x 2))
(.f64 x (.f64 x #s(literal 3/2 binary64)))
(* (pow x 2) (+ 3/2 x))
(.f64 x (.f64 x (+.f64 x #s(literal 3/2 binary64))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -3/4 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(+ (log 2) (* -3 (log (/ 1 x))))
(fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 3 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 3 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x)))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(+.f64 (-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -7/96 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
(+.f64 (+.f64 (-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -7/96 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 3/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(fma.f64 (*.f64 x x) (+.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64))
(* 2 (pow x 3))
(.f64 x (.f64 #s(literal 2 binary64) (*.f64 x x)))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 3/2 binary64)))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))) #s(literal 3/2 binary64)))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 (.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 3/2 binary64))))
(* -3/2 x)
(*.f64 x #s(literal -3/2 binary64))
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 x x))))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(.f64 (neg.f64 x) (+.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))
(.f64 (neg.f64 x) (+.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 x x))) (/.f64 #s(literal 3/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(.f64 x (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))

rewrite422.0ms (3.7%)

Memory

14.4MiB live, 282.7MiB allocated

Rules

6 500×	`lower-fma.f32`
6 488×	`lower-fma.f64`
4 400×	`lower-/.f64`
4 400×	`lower-/.f32`
3 750×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	245
0	63	226
1	208	214
2	1561	214
0	8390	207

Stop Event

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

Counts

24 → 969

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 x #s(literal 2 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (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)))
(neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(neg.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 (.f64 x x))
(log.f64 (neg.f64 (neg.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 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(+.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) x)
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
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eval419.0ms (3.7%)

Memory: 23.9MiB live, 282.0MiB allocated
Compiler: Compiled 82 865 to 6 439 computations (92.2% saved)

prune635.0ms (5.6%)

Memory

-19.3MiB live, 313.7MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1 600	18	1 618
Fresh	5	3	8
Picked	2	3	5
Done	0	0	0
Total	1 607	24	1 631

Accuracy

100.0%

Counts

1 631 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.8%	(-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))))
	7.6%	(-.f64 (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (.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 (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x))))))))
	7.6%	(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #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)))))) (log.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))))))
	5.1%	(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	17.3%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶	10.9%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
	25.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
▶	27.9%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
	27.3%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(literal -1/2 binary64) x)))
✓	24.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
▶	48.5%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
	48.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (.f64 x x)) x))
	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
▶	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
	48.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
✓	48.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
	49.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
	4.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))))
▶	2.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))

Compiler

Compiled 1 089 to 437 computations (59.9% saved)

simplify39.0ms (0.3%)

Memory

18.7MiB live, 57.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
cost-diff	0	#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
cost-diff	0	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
cost-diff	0	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)
cost-diff	0	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
cost-diff	0	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
cost-diff	0	(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))

Rules

1 766×	`lower-fma.f32`
1 756×	`lower-fma.f64`
618×	`lower-*.f32`
604×	`lower-*.f64`
344×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	297
0	65	281
1	123	279
2	194	279
3	342	279
4	666	279
5	898	279
6	991	279
7	992	279
8	992	279
9	995	279
0	995	267

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
x
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
#s(literal -5/112 binary64)
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
x
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))) #s(literal -1/6 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
#s(literal -5/112 binary64)
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x

localize219.0ms (1.9%)

Memory

10.8MiB live, 319.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
accuracy	0.8073594923132646	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
accuracy	28.492911521327397	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
accuracy	45.843993169914626	#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
accuracy	16.21936154823064	(+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)
accuracy	28.492911521327397	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
accuracy	31.649690001197346	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
accuracy	0.0703125	(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	32.95398309520171	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
accuracy	0.1171875	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
accuracy	0.234375	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	29.77492445543824	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
accuracy	33.07880033246188	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
accuracy	0.09765625	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
accuracy	0.2578125	(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
accuracy	0.265625	(*.f64 x #s(literal 3/40 binary64))
accuracy	32.027849718964724	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))

Samples

101.0ms	149×	1	valid
53.0ms	39×	2	valid
20.0ms	68×	0	valid

Compiler

Compiled 225 to 37 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-log: 40.0ms (28.1% of total)

ival-mult: 35.0ms (24.5% of total)

ival-add: 19.0ms (13.3% of total)

const: 15.0ms (10.5% of total)

adjust: 14.0ms (9.8% of total)

ival-hypot: 13.0ms (9.1% of total)

ival-div: 5.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-12.3MiB live, 28.4MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (patch #s(approx (+ ( (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal -1/6 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)) (patch (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (patch (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (patch #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))) (patch (log.f64 #s(approx (+ (sqrt (+ ( x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (patch #s(approx (+ (sqrt (+ ( x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<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)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<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)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 5)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 5)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 4)) (taylor inf x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
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#s(alt (/ -1/2 x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor inf x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (/ 1 (pow x 2))) 1/2) (taylor inf x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (/ 1 (pow x 2))) 1/2) (taylor inf x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (/ 1 (pow x 2))) 1/2) (taylor inf x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor -inf x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (/ 1 (pow x 2))) 1/2) (taylor -inf x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (/ 1 (pow x 2))) 1/2) (taylor -inf x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (/ 1 (pow x 2))) 1/2) (taylor -inf x) (#s(alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (patch (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/40 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/40 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/40 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 3/40 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/40 (* -5/112 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/40 (* -5/112 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/40 (* -5/112 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/112 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/112 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* x (+ (* x (* x 3/40)) -1/6))
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) (* x (* x x))) x)
0.0ms	x	@	0	(/ (+ -1/2 (/ 1/8 (* x x))) x)
0.0ms	x	@	inf	(+ (* (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) (* x (* x x))) x)
0.0ms	x	@	0	(/ 1/8 (* x x))

simplify227.0ms (2%)

Memory

0.6MiB live, 315.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 076×	`lower-fma.f64`
13 076×	`lower-fma.f32`
3 700×	`lower-*.f64`
3 700×	`lower-*.f32`
2 946×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	2614
1	517	2514
2	1458	2505
3	4606	2467
0	8776	2352

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 279

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 7))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
3/40
(+ 3/40 (* -5/112 (pow x 2)))
(+ 3/40 (* -5/112 (pow x 2)))
(+ 3/40 (* -5/112 (pow x 2)))
(* -5/112 (pow x 2))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* -5/112 (pow x 2))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x 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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 #s(literal 1/2 binary64)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(* 3/40 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
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(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x 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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
3/40
#s(literal 3/40 binary64)
(+ 3/40 (* -5/112 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(+ 3/40 (* -5/112 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(+ 3/40 (* -5/112 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))

rewrite319.0ms (2.8%)

Memory

-30.3MiB live, 511.6MiB allocated

Rules

6 510×	`lower-fma.f32`
6 500×	`lower-fma.f64`
3 996×	`lower-*.f32`
3 982×	`lower-*.f64`
3 592×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	277
0	65	261
1	263	259
2	1880	259
0	8183	243

Stop Event

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

Counts

24 → 365

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(*.f64 x #s(literal 3/40 binary64))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(.f64 x (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(+.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -125/1404928 binary64)) #s(literal 27/64000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64) #s(literal 9/1600 binary64)) (.f64 (.f64 x x) #s(literal -3/896 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64) #s(literal -9/1600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64)))) (neg.f64 (-.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64)) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9/1600 binary64) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64)) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64)) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64))) (fma.f64 (/.f64 #s(literal 9/1600 binary64) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64))) (/.f64 #s(literal 9/1600 binary64) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64)) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64))) (/.f64 #s(literal 9/1600 binary64) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64) #s(literal 9/1600 binary64)) (.f64 (.f64 x x) #s(literal -3/896 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -125/1404928 binary64)) #s(literal 27/64000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64) #s(literal -9/1600 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -125/1404928 binary64)) #s(literal 27/64000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64) #s(literal 9/1600 binary64)) (.f64 (*.f64 x x) #s(literal -3/896 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64) #s(literal -9/1600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal -3/40 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 8 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 8 binary64)))))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))

eval92.0ms (0.8%)

Memory: 9.6MiB live, 201.4MiB allocated
Compiler: Compiled 18 499 to 1 570 computations (91.5% saved)

prune432.0ms (3.8%)

Memory

19.5MiB live, 338.7MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	716	12	728
Fresh	6	10	16
Picked	1	4	5
Done	1	2	3
Total	724	28	752

Accuracy

100.0%

Counts

752 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.8%	(-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))))
	7.6%	(-.f64 (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (.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 (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x))))))))
	7.6%	(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #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)))))) (log.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))))))
	5.1%	(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	17.3%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
	25.8%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) x))
✓	10.9%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
✓	27.9%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
▶	27.3%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
✓	24.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
✓	48.5%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
▶	50.0%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
	48.3%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
	48.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (.f64 x x)) x))
	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) x) x x))
	48.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/80 binary64)))) x) x x))
▶	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) x) x x))
▶	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
	29.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (+ (* x (* x 3/40)) -1/6)) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
	49.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
	2.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
▶	2.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
✓	2.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))

Compiler

Compiled 1 269 to 516 computations (59.3% saved)

simplify71.0ms (0.6%)

Memory

-24.5MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x))
cost-diff	0	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
cost-diff	0	(.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
cost-diff	0	(.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x)
cost-diff	0	(fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
cost-diff	0	(.f64 x (.f64 x #s(literal -1/6 binary64)))
cost-diff	0	(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
cost-diff	0	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))

Rules

1 506×	`lower-fma.f32`
1 492×	`lower-fma.f64`
1 278×	`lower-*.f32`
1 258×	`lower-*.f64`
624×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	418
0	80	388
1	146	370
2	236	370
3	397	370
4	600	370
5	881	370
6	1095	370
7	1531	370
8	1649	370
9	1710	370
10	1758	370
11	1758	370
12	1758	370
13	1914	370
14	1972	370
0	1972	354

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(.f64 x (.f64 x #s(literal -1/6 binary64)))
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
(fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x)
(.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x)
(.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
x
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))
#s(literal 9/1600 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x))
(/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)
#s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(fma.f64 x (.f64 x #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64))) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) x))
(fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x)
(fma.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x)
(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
x
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))
#s(literal 9/1600 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(*.f64 x x)
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x))
(/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)
#s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x

localize397.0ms (3.5%)

Memory

27.0MiB live, 412.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)
accuracy	28.492911521327397	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
accuracy	30.991410410958686	#s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64))
accuracy	45.843993169914626	#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x))
accuracy	0.2578125	(.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
accuracy	0.265625	(*.f64 x #s(literal 3/40 binary64))
accuracy	20.626117443785635	(/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
accuracy	32.027849718964724	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
accuracy	0.0625	(fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	32.95398309520171	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
accuracy	33.19790941302066	#s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))
accuracy	0.1171875	(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
accuracy	0.37109375	(*.f64 x #s(literal -1/6 binary64))
accuracy	29.77492445543824	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
accuracy	33.07880033246188	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
accuracy	0.09765625	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
accuracy	0.2578125	(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
accuracy	0.265625	(*.f64 x #s(literal 3/40 binary64))
accuracy	32.027849718964724	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))

Samples

173.0ms	149×	1	valid
54.0ms	39×	2	valid
32.0ms	68×	0	valid

Compiler

Compiled 317 to 48 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

const: 68.0ms (31.3% of total)

ival-mult: 49.0ms (22.6% of total)

ival-log: 35.0ms (16.1% of total)

ival-add: 23.0ms (10.6% of total)

adjust: 18.0ms (8.3% of total)

ival-hypot: 12.0ms (5.5% of total)

ival-div: 10.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

7.9MiB live, 45.7MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x))) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x)) (patch #s(approx (+ ( (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x) (patch (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal -1/6 binary64))) (patch (.f64 x (.f64 x #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x) (patch (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) (patch (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (patch (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x))) (patch (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)) (patch #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x) (patch (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) (patch #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3/40 binary64)) (patch (.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 3/40 (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/40 (* -5/112 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/40 (* -5/112 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/40 (* -5/112 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/112 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/112 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (patch #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3/40 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3/40 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3/40 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) x) x)
0.0ms	x	@	inf	(* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x)
0.0ms	x	@	-inf	(+ (* (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) x) x)
0.0ms	x	@	0	(+ (* (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) x) x)
0.0ms	x	@	0	(* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x)

simplify314.0ms (2.7%)

Memory

-20.7MiB live, 351.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 340×	`lower-fma.f64`
17 340×	`lower-fma.f32`
4 022×	`lower-+.f64`
4 022×	`lower-+.f32`
3 910×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	2635
1	453	2529
2	1252	2522
3	3880	2514
0	8730	2392

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 291

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 7))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
3/40
(+ 3/40 (* -5/112 (pow x 2)))
(+ 3/40 (* -5/112 (pow x 2)))
(+ 3/40 (* -5/112 (pow x 2)))
(* -5/112 (pow x 2))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* -5/112 (pow x 2))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x 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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 3/40 binary64))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 3/40 binary64))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x 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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
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(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x 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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
3/40
#s(literal 3/40 binary64)
(+ 3/40 (* -5/112 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(+ 3/40 (* -5/112 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(+ 3/40 (* -5/112 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))

rewrite306.0ms (2.7%)

Memory

2.3MiB live, 350.7MiB allocated

Rules

6 224×	`lower-fma.f32`
6 210×	`lower-fma.f64`
4 368×	`lower-*.f32`
4 350×	`lower-*.f64`
4 212×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	371
0	80	309
1	316	296
2	2280	296
0	8561	276

Stop Event

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

Counts

25 → 453

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(.f64 x (.f64 x #s(literal -1/6 binary64)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
(fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x)
(.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x)
(.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x))
(/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)
#s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64))
(*.f64 x #s(literal 3/40 binary64))
(*.f64 x #s(literal -1/6 binary64))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))
(.f64 x (.f64 x x))
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
(+.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) x)
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))) (-.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
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(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/80 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 81/2560000 binary64) #s(literal 1/1296 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/6400 binary64))) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 81/2560000 binary64) #s(literal 1/1296 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/6400 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))) (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 81/2560000 binary64) #s(literal 1/1296 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/6400 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 81/2560000 binary64) #s(literal 1/1296 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/6400 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 81/2560000 binary64) #s(literal 1/1296 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/6400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64))))))

eval174.0ms (1.5%)

Memory: 19.3MiB live, 250.1MiB allocated
Compiler: Compiled 22 861 to 1 486 computations (93.5% saved)

prune364.0ms (3.2%)

Memory

33.9MiB live, 460.2MiB allocated

Pruning

35 alts after pruning (25 fresh and 10 done)

	Pruned	Kept	Total
New	839	11	850
Fresh	3	14	17
Picked	1	4	5
Done	0	6	6
Total	843	35	878

Accuracy

100.0%

Counts

878 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.8%	(-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))))
	7.6%	(-.f64 (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (.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 (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x))))))))
	7.6%	(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #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)))))) (log.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))))))
	5.1%	(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	17.3%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
	25.8%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) x))
✓	10.9%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
✓	27.9%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
✓	27.3%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
✓	24.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
✓	48.5%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
✓	50.0%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
	49.2%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (.f64 x (.f64 x #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
	48.3%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
	50.0%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
	48.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	48.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64))))) x x))
	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (.f64 x x) x))
	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)) (*.f64 x x) x))
	48.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/80 binary64)))) x) x x))
	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) x) x x))
	48.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))) x) x x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) x) x x))
✓	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
	49.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x x) x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
	29.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
	49.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
	2.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
✓	2.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
✓	2.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))

Compiler

Compiled 1 984 to 576 computations (71% saved)

regimes65.0ms (0.6%)

Memory

-46.6MiB live, 108.2MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (+ (* x (* x 3/40)) -1/6)) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)) (*.f64 x x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (.f64 x (.f64 x #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/80 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64))))) x x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) 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)))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (log.f64 (neg.f64 (neg.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 (log.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (log.f64 (neg.f64 (neg.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 (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (.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 (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x))))))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #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)))))) (log.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))))))

Outputs

(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))

#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))

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

Calls

3 calls:

24.0ms	x
23.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
13.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.5%	3	`x`
88.2%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
88.2%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

10.2MiB live, 48.1MiB allocated

Counts

47 → 3

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (+ (* x (* x 3/40)) -1/6)) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)) (*.f64 x x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (.f64 x (.f64 x #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/80 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64))))) x x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) 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)))))

Outputs

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

#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Memory

-0.7MiB live, 36.9MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (+ (* x (* x 3/40)) -1/6)) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)) (*.f64 x x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (.f64 x (.f64 x #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/80 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64))))) x x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))

Outputs

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

#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes37.0ms (0.3%)

Memory

5.6MiB live, 86.7MiB allocated

Counts

40 → 2

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (+ (* x (* x 3/40)) -1/6)) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)) (*.f64 x x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (.f64 x (.f64 x #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/80 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64))))) x x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))

Outputs

#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))

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

Calls

3 calls:

14.0ms	x
11.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
10.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
73.1%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
73.1%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
73.5%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes115.0ms (1%)

Memory

-5.6MiB live, 33.5MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (+ (* x (* x 3/40)) -1/6)) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)) (*.f64 x x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (.f64 x (.f64 x #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/80 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64))))) x x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))

Outputs

#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))

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

Calls

3 calls:

11.0ms	x
9.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
9.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
56.5%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
56.5%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
56.8%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes205.0ms (1.8%)

Memory

-14.0MiB live, 24.6MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (+ (* x (* x 3/40)) -1/6)) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* x (/ (+ (* 9/1600 (* (* x x) (* x x))) -1/36) (+ (* x (* x 3/40)) 1/6))) x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)) (*.f64 x x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) (.f64 x (.f64 x #s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -5/112) 3/40) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (/.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/80 binary64)))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) x) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64))))) x x))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))

Calls

3 calls:

185.0ms	x
9.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
8.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
50.0%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
50.0%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
50.0%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) x) x x))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
49.6%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -5/112) 3/40)) -1/6) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))

Calls

3 calls:

3.0ms	x
2.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
2.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
48.3%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
48.3%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
48.3%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))

#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))

#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))

Calls

3 calls:

2.0ms	x
2.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
2.8%	1	`x`
2.8%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
2.8%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch58.0ms (0.5%)

Memory

-23.0MiB live, 19.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	0.10691642359402806	276.2897866968938
12.0ms	-522.269363359746	-0.17651170913459013

Samples

45.0ms

256×

valid

Compiler

Compiled 541 to 313 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-hypot: 36.0ms (89.7% of total)

ival-log: 3.0ms (7.5% of total)

ival-add: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.10691642359402806	276.2897866968938
4.0ms	-522.269363359746	-0.17651170913459013

Samples

2.0ms

32×

valid

Compiler

Compiled 493 to 281 computations (43% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-hypot: 1.0ms (89.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

-17.1MiB live, 19.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.10691642359402806	276.2897866968938
1.0ms	-522.269363359746	-0.17651170913459013

Samples

4.0ms

64×

valid

Compiler

Compiled 461 to 265 computations (42.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-log: 1.0ms (40.8% of total)

ival-hypot: 1.0ms (40.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.10691642359402806	276.2897866968938

Compiler

Compiled 197 to 121 computations (38.6% saved)

bsearch4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.10691642359402806	276.2897866968938

Samples

2.0ms

32×

valid

Compiler

Compiled 197 to 121 computations (38.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-hypot: 1.0ms (86% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	372
1	96	372
2	104	372
3	110	372
4	115	372
5	117	372

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) (log.f64 #s(approx (+ x (sqrt (+ ( x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))

Outputs
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) (log.f64 #s(approx (+ x (sqrt (+ ( x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))

soundness1.1s (9.6%)

Memory

-15.0MiB live, 747.6MiB allocated

Rules

15 854×	`lower-fma.f64`
15 854×	`lower-fma.f32`
11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
6 510×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	245
0	63	226
1	208	214
2	1561	214
0	8390	207
0	41	277
0	65	261
1	263	259
2	1880	259
0	8183	243
0	344	2794
1	988	2666
2	2867	2634
3	7375	2623
0	8095	2469
0	125	525
1	353	517
2	931	509
3	2909	479
4	7021	479
0	8073	448

Stop Event

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

Compiler

Compiled 441 to 191 computations (56.7% saved)

preprocess93.0ms (0.8%)

Memory: -17.8MiB live, 182.4MiB allocated
Compiler: Compiled 506 to 154 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	41	297
0	65	281
1	123	279
2	194	279
3	342	279
4	666	279
5	898	279
6	991	279
7	992	279
8	992	279
9	995	279
0	995	267

Iter	Nodes	Cost
0	41	297
0	65	281
1	123	279
2	194	279
3	342	279
4	666	279
5	898	279
6	991	279
7	992	279
8	992	279
9	995	279
0	995	267

start0.0ms (0%)

analyze108.0ms (0.9%)

sample2.7s (23.4%)

explain387.0ms (3.4%)

preprocess16.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify47.0ms (0.4%)

localize137.0ms (1.2%)

series6.0ms (0%)

simplify203.0ms (1.8%)

rewrite263.0ms (2.3%)

eval332.0ms (2.9%)

prune70.0ms (0.6%)

simplify187.0ms (1.6%)

localize311.0ms (2.7%)

series24.0ms (0.2%)

simplify437.0ms (3.8%)

rewrite422.0ms (3.7%)

eval419.0ms (3.7%)

prune635.0ms (5.6%)

simplify39.0ms (0.3%)

localize219.0ms (1.9%)

series19.0ms (0.2%)

simplify227.0ms (2%)

rewrite319.0ms (2.8%)

eval92.0ms (0.8%)

prune432.0ms (3.8%)

simplify71.0ms (0.6%)

localize397.0ms (3.5%)

series22.0ms (0.2%)

simplify314.0ms (2.7%)

rewrite306.0ms (2.7%)

eval174.0ms (1.5%)

prune364.0ms (3.2%)

regimes65.0ms (0.6%)

regimes18.0ms (0.2%)

regimes18.0ms (0.2%)

regimes37.0ms (0.3%)

regimes115.0ms (1%)

regimes205.0ms (1.8%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

bsearch58.0ms (0.5%)

bsearch5.0ms (0%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch4.0ms (0%)

simplify10.0ms (0.1%)

soundness1.1s (9.6%)

preprocess93.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	41	297
0	65	281
1	123	279
2	194	279
3	342	279
4	666	279
5	898	279
6	991	279
7	992	279
8	992	279
9	995	279
0	995	267