Metrics for Hyperbolic arcsine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze263.0ms (2.7%)

Memory

-15.6MiB live, 139.3MiB 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)

sample2.2s (22.2%)

Memory

39.0MiB live, 3 539.3MiB allocated

Samples

992.0ms	1 500×	2	valid
720.0ms	4 509×	1	valid
157.0ms	2 247×	0	valid

Precisions

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

ival-log: 799.0ms (50.8% of total)

ival-hypot: 554.0ms (35.3% of total)

adjust: 123.0ms (7.8% of total)

ival-add: 80.0ms (5.1% of total)

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

exact: 5.0ms (0.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain233.0ms (2.4%)

Memory

-34.5MiB live, 374.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
131	-	1	(-0.012226393653971645)	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
61	-	0	-	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
58	-	0	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	0	-	`(*.f64 x x)`
0	-	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	130	1
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	61	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	58	0
↳	`(*.f64 x x)`	overflow	58
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	58

Confusion

	Predicted +	Predicted -
+	220	1
-	0	35

Precision

1.0

Recall

0.995475113122172

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	220	1	0
-	0	0	35

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	36
1	191
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

94.0ms	282×	1	valid
41.0ms	86×	2	valid
11.0ms	144×	0	valid

Compiler

Compiled 80 to 25 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-log: 41.0ms (39% of total)

ival-hypot: 40.0ms (38% of total)

adjust: 8.0ms (7.6% of total)

ival-add: 7.0ms (6.7% of total)

ival-mult: 7.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess15.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15×	`distribute-lft-neg-in`
14×	`sub-neg`
13×	`associate--r+`
12×	`neg-mul-1`
11×	`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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.6%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify3.0ms (0%)

Memory

8.5MiB live, 8.5MiB 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

4×	`lower-+.f32`
2×	`lift-+.f64`
2×	`lower-+.f64`
2×	`+-commutative`
1×	`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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize87.0ms (0.9%)

Memory

-3.1MiB live, 114.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	13.546781469155928	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	13.966567898782136	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	30.014443360303115	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

45.0ms	141×	1	valid
26.0ms	43×	2	valid
5.0ms	72×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-hypot: 28.0ms (41.9% of total)

ival-log: 27.0ms (40.4% of total)

ival-add: 5.0ms (7.5% of total)

adjust: 4.0ms (6% of total)

ival-mult: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-28.4MiB live, 12.3MiB 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
3.0ms	x	@	0	(+ x (sqrt (+ (* x x) 1)))
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)

simplify160.0ms (1.6%)

Memory

18.9MiB live, 288.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 519×	`lower-fma.f64`
5 519×	`lower-fma.f32`
2 062×	`lower-+.f64`
2 062×	`lower-+.f32`
1 113×	`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))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) 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 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (log.f64 x)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (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))))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) 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 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x #s(literal -1/8 binary64)) x) x #s(literal 1/2 binary64)) x) x #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 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.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)

rewrite218.0ms (2.2%)

Memory

4.1MiB live, 396.9MiB allocated

Rules

3 031×	`lower-fma.f64`
3 031×	`lower-fma.f32`
1 799×	`lower-*.f32`
1 798×	`lower-*.f64`
1 497×	`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 (exp.f64 (log.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))) (exp.f64 (neg.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 binary64)) (pow.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) x (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
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(fma.f64 x #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
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(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
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(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 (*.f64 x x) 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)))
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(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) 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)))
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(.f64 (pow.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
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(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) x (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) #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 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.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 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 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))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) 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 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 (pow.f64 (fma.f64 (.f64 (.f64 x x) 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 (pow.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (/.f64 #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 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 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 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 x x) 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))
(pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) 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 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
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(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (*.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)))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (-.f64 (log1p.f64 (.f64 x x)) (.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 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 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval62.0ms (0.6%)

Memory: 10.4MiB live, 165.4MiB allocated
Compiler: Compiled 12 006 to 1 640 computations (86.3% saved)

prune70.0ms (0.7%)

Memory

18.4MiB live, 180.3MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	409	12	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	410	12	422

Accuracy

100.0%

Counts

422 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
	6.1%	(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
▶	19.6%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
	26.0%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
▶	11.6%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
	24.7%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) x)))
▶	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
	25.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
	51.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
▶	53.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
▶	51.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))

Compiler

Compiled 304 to 184 computations (39.5% saved)

simplify14.0ms (0.1%)

Memory

-18.9MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

165×	`lower-fma.f32`
161×	`lower-fma.f64`
118×	`lower-*.f32`
113×	`lower-*.f64`
76×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	186
0	50	186
1	69	186
2	92	186
3	132	182
4	269	182
5	383	182
6	413	182
0	413	178

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize226.0ms (2.3%)

Memory

-15.8MiB live, 397.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	13.546781469155928	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	13.966567898782136	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy	30.014443360303115	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	30.014443360303115	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	47.70334659052306	#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
accuracy	13.966567898782136	(+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
accuracy	29.69938176980125	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
accuracy	30.014443360303115	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
accuracy	0.0546875	(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))
accuracy	0.3359375	(*.f64 #s(literal -1/6 binary64) x)
accuracy	31.002031703125937	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))
accuracy	0.05078125	(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
accuracy	0.1796875	(*.f64 #s(literal 3/40 binary64) x)
accuracy	0.20703125	(.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x)
accuracy	30.0305346282541	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))

Samples

119.0ms	141×	1	valid
46.0ms	43×	2	valid
18.0ms	72×	0	valid

Compiler

Compiled 170 to 26 computations (84.7% saved)

Precisions

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

ival-log: 53.0ms (33.5% of total)

ival-mult: 34.0ms (21.5% of total)

ival-add: 30.0ms (19% of total)

ival-hypot: 16.0ms (10.1% of total)

const: 13.0ms (8.2% of total)

adjust: 10.0ms (6.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-2.3MiB live, 36.5MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (+ (* (* -1/6 x) x) 1) x)
1.0ms	x	@	inf	(* (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) x)
0.0ms	x	@	inf	(* (+ (* (* -1/6 x) x) 1) x)
0.0ms	x	@	0	(* (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) x)
0.0ms	x	@	0	(/ -1/2 x)

simplify462.0ms (4.7%)

Memory

18.7MiB live, 340.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 402×	`lower-fma.f64`
8 402×	`lower-fma.f32`
1 785×	`lower-*.f64`
1 785×	`lower-*.f32`
1 272×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	2291
1	445	2197
2	1215	2192
3	3858	2108
0	8396	1983

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 231

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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -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)
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))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
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))))
(* 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)))))

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

rewrite390.0ms (4%)

Memory

24.0MiB live, 409.2MiB allocated

Rules

4 393×	`lower-fma.f32`
4 389×	`lower-fma.f64`
2 502×	`lower-*.f32`
2 497×	`lower-*.f64`
1 899×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	173
0	50	173
1	156	173
2	1022	169
0	8706	165

Stop Event

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

Counts

20 → 509

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))))
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(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 x (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x 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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 (*.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 3/40 binary64) x)
(*.f64 x #s(literal 3/40 binary64))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 #s(literal 3/40 binary64) x) x))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/80 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 3/40 binary64) x) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/80 binary64) (*.f64 x x))))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)))) (.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 3/40 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/80 binary64) (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 #s(literal 81/2560000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x)) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 729/4096000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 81/2560000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1/1296 binary64) (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) x)) x)))) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 729/4096000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal 1/216 binary64)) (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/80 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 19683/262144000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x))) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 729/4096000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal 1/46656 binary64)) (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x)) x) (.f64 x x)))) (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/80 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x)) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 3/40 binary64) x) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/36 binary64))) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 3/40 binary64) x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/80 binary64) (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/36 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 3/40 binary64) x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64)) (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/80 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 3/40 binary64) x) x)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 3/40 binary64) x) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)))) (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (*.f64 x x) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/36 binary64))) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64))) (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/80 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x #s(literal -1/36 binary64)) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -1/216 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/80 binary64) (.f64 x x)))))))
(fma.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 3/40 binary64) x) x) #s(literal 1 binary64) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 #s(literal 3/40 binary64) x) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 3/40 binary64) x) x))) (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 3/40 binary64) x) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (.f64 (.f64 x x) x)) x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 3/40 binary64) x) x))

eval153.0ms (1.6%)

Memory: -30.4MiB live, 297.2MiB allocated
Compiler: Compiled 18 365 to 2 086 computations (88.6% saved)

prune169.0ms (1.7%)

Memory

19.2MiB live, 340.5MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	734	6	740
Fresh	5	2	7
Picked	0	5	5
Done	0	0	0
Total	739	13	752

Accuracy

100.0%

Counts

752 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.7%	(-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
▶	6.1%	(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	19.6%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶	26.0%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
✓	11.6%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
	24.7%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
	24.0%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) x)))
	25.1%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 #s(literal 2 binary64) x)))
✓	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	51.7%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
✓	53.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
✓	51.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))
▶	53.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 270 to 161 computations (40.4% saved)

simplify313.0ms (3.2%)

Memory

-12.6MiB live, 309.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	64	(-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
cost-diff	832	(-.f64 (.f64 x x) (.f64 x x))
cost-diff	6400	(log1p.f64 (-.f64 (.f64 x x) (.f64 x x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
cost-diff	576	(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
cost-diff	896	(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
cost-diff	0	#s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))
cost-diff	0	(+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
cost-diff	0	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x))

Rules

8 406×	`lower-fma.f32`
8 402×	`lower-fma.f64`
2 000×	`lower-*.f32`
1 994×	`lower-*.f64`
1 132×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	343
0	76	302
1	129	300
2	177	300
3	287	298
4	673	298
5	1214	298
6	1867	298
7	2591	298
8	3200	298
9	4371	298
10	5932	298
11	6685	298
12	7061	298
13	7323	298
14	7372	298
15	7537	298
16	7930	298
0	8034	290

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64))
(.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x)
(fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64))
(*.f64 #s(literal -5/112 binary64) x)
#s(literal -5/112 binary64)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
x
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x 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))
(-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log1p.f64 (-.f64 (.f64 x x) (.f64 x x)))
(-.f64 (.f64 x x) (.f64 x x))
(*.f64 x x)
x
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 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)) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 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)) #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 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)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x)
(.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)) x)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64))
(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 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x)
(fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(*.f64 #s(literal -5/112 binary64) x)
#s(literal -5/112 binary64)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x)
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x 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))
(-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log1p.f64 (-.f64 (.f64 x x) (.f64 x x)))
#s(literal 0 binary64)
(-.f64 (.f64 x x) (.f64 x x))
#s(literal 0 binary64)
(*.f64 x x)
x
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

localize428.0ms (4.4%)

Memory

3.8MiB live, 610.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	6.082932818985045	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	6.3984017232411645	(-.f64 (.f64 x x) (.f64 x x))
accuracy	8.248601039559462	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy	9.077605993932025	(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy	6.082932818985045	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	8.248601039559462	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy	9.08141988956743	(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
accuracy	16.31964929476754	(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
accuracy	7.5767376305201415	(+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
accuracy	9.08141988956743	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
accuracy	18.825714306063546	#s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))
accuracy	0.046875	(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x)
accuracy	0.06640625	(.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x)
accuracy	0.06640625	(*.f64 #s(literal -5/112 binary64) x)
accuracy	17.247820712838134	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
accuracy	0.0078125	(.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)
accuracy	16.757371684303997	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x))
accuracy	16.969209873780226	#s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64))

Samples

187.0ms	122×	1	exit
123.0ms	110×	1	valid
27.0ms	22×	2	exit
1.0ms	2×	0	valid

Compiler

Compiled 320 to 43 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-hypot: 139.0ms (45.3% of total)

adjust: 50.0ms (16.3% of total)

ival-log: 38.0ms (12.4% of total)

ival-mult: 33.0ms (10.7% of total)

const: 16.0ms (5.2% of total)

ival-add: 16.0ms (5.2% of total)

ival-sub: 6.0ms (2% of total)

ival-div: 4.0ms (1.3% of total)

ival-log1p: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

11.2MiB live, 49.3MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)) (patch (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) (patch (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())
#s(alt (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (patch (log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (patch (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) (.f64 x x)) (patch (-.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (patch (-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 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 (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>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 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)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 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)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 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)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 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)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 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)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 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)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 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)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 5)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) 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 (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) 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 (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 5)) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) 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 (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) 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 (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 4)) (taylor inf x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/40 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 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 (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 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 (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 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 (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 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 (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 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 (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (patch (-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) 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 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>) () ())) ())
#s(alt (* -5/112 x) (taylor 0 x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor 0 x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor 0 x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor 0 x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor inf x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor inf x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor inf x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor inf x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor -inf x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor -inf x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor -inf x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 x) (taylor -inf x) (#s(alt (.f64 #s(literal -5/112 binary64) x) (patch (.f64 #s(literal -5/112 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/40 (* -5/112 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/40 (* -5/112 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/40 (* -5/112 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 (pow x 3)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -5/112 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1))) (taylor 0 x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x) (taylor inf x) (#s(alt (-.f64 (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 (* -2 x) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/6 (pow x 2)) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 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 (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>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)))
2.0ms	x	@	inf	(* (+ (* (* -5/112 x) x) 3/40) x)
1.0ms	x	@	inf	(* (+ (* (* (+ (* (* (+ (* (* -5/112 x) x) 3/40) x) x) -1/6) x) x) 1) x)
0.0ms	x	@	0	(- (log (+ 1 (- (* x x) (* x x)))) (log (- (sqrt (+ (* x x) 1)) x)))
0.0ms	x	@	0	(log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)))

simplify291.0ms (3%)

Memory

3.5MiB live, 313.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 534×	`lower-fma.f64`
7 534×	`lower-fma.f32`
2 158×	`lower-+.f64`
2 158×	`lower-+.f32`
2 126×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	2785
1	693	2685
2	1976	2672
3	6350	2557
0	8666	2452

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 277

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))
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1
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x
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x
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(* -5/112 (pow x 7))
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(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
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(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
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(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
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(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
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(* -1 (* (pow x 5) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
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(* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
x
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(- (+ (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)
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(* 2 x)
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(/ -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)))
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x
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(* -1 x)
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(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
x
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x
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1
1
1
1
1
1
1
1
1
1
1
1
x
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1
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(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
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1
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0
0
0
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x
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(- (/ 3/32 (pow x 4)) (+ (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)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(pow x 2)
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(* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
1
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(/ 1/2 x)
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(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
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(* -2 x)
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1
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x
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(- (+ (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)))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x)))
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(-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
x
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(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
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(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))
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(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(* 3/40 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 3/40 binary64)) x)
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x)))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x)))
(* 3/40 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 3/40 binary64)) x)
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
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(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (log.f64 x))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) 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 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (log.f64 x)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (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))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (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 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) 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 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) 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 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64))) 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 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(-.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(-.f64 (+.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 x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64)))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (log.f64 #s(literal 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)))))
(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)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* -5/112 x)
(*.f64 #s(literal -5/112 binary64) x)
(* 3/40 x)
(*.f64 #s(literal 3/40 binary64) x)
(* x (+ 3/40 (* -5/112 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x)
(* x (+ 3/40 (* -5/112 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x)
(* x (+ 3/40 (* -5/112 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x)
(* -5/112 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -5/112 binary64))
(* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) x) (.f64 x x))
(* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) x) (.f64 x x))
(* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) x) (.f64 x x))
(* -5/112 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -5/112 binary64))
(* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) x) (.f64 x x))
(* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) x) (.f64 x x))
(* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) x) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 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)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)
(/ (- (+ 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 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64))) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 #s(literal -2 binary64) x (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fma.f64 #s(literal -2 binary64) x (neg.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x #s(literal -1/8 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* 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)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f64 (+.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 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -3/40 binary64) x) x #s(literal 1/6 binary64)) x) x #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 5/112 binary64) x) x #s(literal -3/40 binary64)) x) x #s(literal 1/6 binary64)) x) x #s(literal -1 binary64)) x)
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 x))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (log.f64 x))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (log.f64 x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) 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 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)))

rewrite501.0ms (5.2%)

Memory

7.9MiB live, 368.5MiB allocated

Rules

2 675×	`lower-fma.f32`
2 671×	`lower-fma.f64`
1 984×	`lower-*.f32`
1 978×	`lower-*.f64`
1 909×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	287
0	76	246
1	323	240
2	2095	240
0	8378	234

Stop Event

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

Counts

24 → 470

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x)
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(log1p.f64 (-.f64 (.f64 x x) (.f64 x x)))
(-.f64 (.f64 x x) (.f64 x x))
(-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(*.f64 x x)
(*.f64 #s(literal -5/112 binary64) x)
(.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x)
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x)
(.f64 x #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 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)) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 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)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 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)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.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)) x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.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)) x) x) x) (.f64 (.f64 (.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)) x) x) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 (.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)) x) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.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)) x) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.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)) x) x) x) (.f64 (.f64 (.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)) x) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.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)) x) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.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)) x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.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)) x) x)) (.f64 x (.f64 (.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)) x) x)) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (.f64 (.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)) x) x)) (.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.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)) x) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.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)) x) x)) (.f64 x (.f64 (.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)) x) x))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.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)) x) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.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)) x) x) (.f64 (.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)) x) x) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 (.f64 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)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.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)) x) x) x) (.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)) x)) (.f64 (.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)) x) x) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (.f64 (.f64 (.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)) x) x) x) (.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)) x) (-.f64 #s(literal 1 binary64) (.f64 (.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)) x) x)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.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)) x) x) (.f64 (.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)) x) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 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)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 (.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)) x) x) x) (.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)) x)) (.f64 (.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)) x) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (.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)) x) x) x) (.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)) x) (-.f64 #s(literal 1 binary64) (.f64 (.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)) x) x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.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)) x) x) (.f64 (.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)) x) x) #s(literal -1 binary64)) x) (fma.f64 (.f64 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)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.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)) x) x) x) (.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)) x)) (.f64 (.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)) x) x) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 (.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)) x) x) x) (.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)) x) (-.f64 #s(literal 1 binary64) (.f64 (.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)) x) x))))
(/.f64 (.f64 x (fma.f64 (.f64 (.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)) x) x) (.f64 (.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)) x) x) #s(literal -1 binary64))) (fma.f64 (.f64 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)) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 (.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)) x) x) x) (.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)) x)) (.f64 (.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)) x) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.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)) x) x) x) (.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)) x) (-.f64 #s(literal 1 binary64) (.f64 (.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)) x) x))))
(fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.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)) x) x) x))
(fma.f64 x (.f64 (.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)) x) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.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)) x) x)))
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(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.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)) x) x) x))
(+.f64 (.f64 x (.f64 (.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)) x) x)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.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)) x) x)))
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(neg.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (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 (neg.f64 x) (.f64 x x))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 (neg.f64 x) (.f64 x x))))) (log.f64 (neg.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (/.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(-.f64 (log.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.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 (neg.f64 x) (.f64 x x)))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 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 (neg.f64 x) (.f64 x x)))) (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (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 (neg.f64 x) (.f64 x x)))) (log.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (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 (neg.f64 x) (.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (log.f64 (/.f64 #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 (.f64 x x) x)))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 #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 (.f64 x x) x)))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.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 (neg.f64 x) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))

eval719.0ms (7.4%)

Memory: 12.2MiB live, 276.9MiB allocated
Compiler: Compiled 23 345 to 2 174 computations (90.7% saved)

prune482.0ms (5%)

Memory

-53.3MiB live, 372.3MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	891	3	894
Fresh	3	0	3
Picked	2	3	5
Done	0	5	5
Total	896	11	907

Accuracy

100.0%

Counts

907 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.2%	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
▶	18.1%	(log.f64 (/.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	19.6%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	26.0%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
✓	11.6%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
▶	25.1%	(log.f64 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal 2 binary64) x)))
✓	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	51.7%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
✓	53.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
✓	51.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))
✓	53.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 110 to 68 computations (38.2% saved)

simplify192.0ms (2%)

Memory

4.9MiB live, 274.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

5 048×	`lower-fma.f32`
5 047×	`lower-fma.f64`
1 146×	`lower-*.f32`
1 145×	`lower-*.f64`
844×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	151
0	30	146
1	45	146
2	64	111
3	106	111
4	156	111
5	234	111
6	432	111
7	1155	111
8	2257	111
9	4315	111
10	5932	111
11	6986	111
12	7444	111
13	7719	111
14	7865	111
0	8128	111

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.6%)

Memory

25.3MiB live, 429.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
accuracy	13.54678146915592	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	14.849833195172444	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy	30.01062946466771	(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy	0.0625	(/.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy	13.54678146915592	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	14.849833195172444	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy	30.014443360303115	(log.f64 (/.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	30.014443360303115	(log.f64 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal 2 binary64) x)))
accuracy	46.813019086912206	#s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal 2 binary64) x))

Samples

82.0ms	203×	1	valid
44.0ms	43×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 151 to 16 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-log: 52.0ms (49.8% of total)

ival-hypot: 13.0ms (12.4% of total)

ival-neg: 13.0ms (12.4% of total)

adjust: 9.0ms (8.6% of total)

ival-sub: 5.0ms (4.8% of total)

ival-mult: 4.0ms (3.8% of total)

ival-add: 4.0ms (3.8% of total)

ival-div: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-20.5MiB live, 18.6MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

simplify191.0ms (2%)

Memory

4.5MiB live, 402.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 914×	`lower-fma.f64`
4 914×	`lower-fma.f32`
1 908×	`lower-+.f64`
1 908×	`lower-+.f32`
1 538×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1266
1	506	1233
2	1415	1203
3	4528	1156
4	7895	1156
0	8267	1103

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 116

Calls

Call 1

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

Outputs
(* 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))
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1
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rewrite292.0ms (3%)

Memory

11.6MiB live, 403.3MiB allocated

Rules

4 554×	`lower-fma.f32`
4 553×	`lower-fma.f64`
2 100×	`lower-*.f32`
2 099×	`lower-*.f64`
1 890×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	125
0	30	120
1	105	102
2	754	80
0	9106	80

Stop Event

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

Counts

10 → 373

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(log.f64 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)) (*.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)) (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (log.f64 (.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))))))
(.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)))) (log.f64 (neg.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))))) (.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (log.f64 (neg.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))))) (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))))) (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) (-.f64 (log.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)))) (log.f64 (neg.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)))) (fma.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 (log.f64 (neg.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))) (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))) (.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)))))) (neg.f64 (log.f64 (.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))))))
(/.f64 (.f64 (log.f64 (.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))) (log.f64 (.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (.f64 (log.f64 (.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)))))) (-.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)) #s(literal 0 binary64))) (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))))
(fma.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal -1 binary64) (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))))
(-.f64 (+.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 0 binary64)) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) (/.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)) (log.f64 (.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))))
(-.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(+.f64 (-.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 0 binary64)) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(+.f64 (-.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x)))) (log1p.f64 (fma.f64 x x (*.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(+.f64 (+.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 0 binary64)) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(+.f64 (log.f64 (/.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x)))) (log1p.f64 (fma.f64 x x (*.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))))
(+.f64 (log.f64 (neg.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)))) (neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (neg.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(+.f64 #s(literal 0 binary64) (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)))))
(+.f64 (log.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x)))) (neg.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (neg.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x)))) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(.f64 (.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (/.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(approx (+ ( x x) (- 1 (* x x))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
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(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x)))) (.f64 (log1p.f64 (fma.f64 x x (.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) (log1p.f64 (fma.f64 x x (.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))) (+.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (log1p.f64 (fma.f64 x x (*.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x (.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (fma.f64 (log1p.f64 (fma.f64 x x (.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) (log1p.f64 (fma.f64 x x (.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) (.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (log1p.f64 (fma.f64 x x (*.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x)))) (log1p.f64 (fma.f64 x x (*.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (log1p.f64 (fma.f64 x x (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (log1p.f64 (fma.f64 x x (*.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(+.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (neg.f64 (log1p.f64 (fma.f64 x x (*.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))))
(+.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.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 (pow.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 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 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 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (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 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (sqrt.f64 (fma.f64 (neg.f64 x) x #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 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))

eval263.0ms (2.7%)

Memory: -17.1MiB live, 264.6MiB allocated
Compiler: Compiled 23 147 to 2 021 computations (91.3% saved)

prune99.0ms (1%)

Memory

40.3MiB live, 319.4MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	704	4	708
Fresh	0	0	0
Picked	0	3	3
Done	2	6	8
Total	706	13	719

Accuracy

100.0%

Counts

719 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	18.2%	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
	25.2%	(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x)))
	24.0%	(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)))
	11.4%	(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)))
	53.7%	(neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x)))
✓	18.1%	(log.f64 (/.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	19.6%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	26.0%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
✓	11.6%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	25.1%	(log.f64 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal 2 binary64) x)))
✓	51.7%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
✓	53.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
✓	51.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))

Compiler

Compiled 401 to 163 computations (59.4% saved)

regimes23.0ms (0.2%)

Memory

-9.5MiB live, 69.1MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
(neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (+ (* (* 3/40 x) x) -1/6) x) x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal 2 binary64) x)))
(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)))
(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(log.f64 (/.f64 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) x)))
(-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))

Outputs

(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) x)))

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

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

Calls

3 calls:

7.0ms	x
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.8%	3	`x`
88.7%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
88.7%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-12.4MiB live, 28.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)))

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

-21.4MiB live, 17.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)))

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Memory

-3.7MiB live, 36.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.6%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
79.6%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
83.3%	3	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-9.9MiB live, 29.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.4%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
76.4%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
76.9%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.5%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
59.5%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
60.0%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-38.7MiB live, 21.0MiB allocated

Accuracy

Total -1.5b remaining (-5.1%)

Threshold costs -1.5b (-5.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
53.7%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
53.7%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch47.0ms (0.5%)

Memory

15.3MiB live, 94.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.7084875962520292e-8	739278.5320591363
29.0ms	-233.71079706623894	-0.28698906078540337

Samples

20.0ms

288×

valid

Compiler

Compiled 685 to 425 computations (38% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-hypot: 9.0ms (64.1% of total)

ival-log: 3.0ms (21.4% of total)

ival-add: 1.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7084875962520292e-8	739278.5320591363
1.0ms	-233.71079706623894	-0.28698906078540337

Compiler

Compiled 597 to 377 computations (36.9% saved)

bsearch8.0ms (0.1%)

Memory

-15.6MiB live, 23.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7084875962520292e-8	739278.5320591363
6.0ms	-233.71079706623894	-0.28698906078540337

Samples

3.0ms

48×

valid

Compiler

Compiled 573 to 361 computations (37% saved)

Precisions

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

ival-log: 1.0ms (60.2% of total)

ival-hypot: 1.0ms (60.2% 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)

bsearch6.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	2.7084875962520292e-8	739278.5320591363
1.0ms	-233.71079706623894	-0.28698906078540337

Samples

3.0ms

48×

valid

Compiler

Compiled 533 to 341 computations (36% saved)

Precisions

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

ival-log: 1.0ms (63.7% of total)

ival-hypot: 1.0ms (63.7% 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)

bsearch4.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7084875962520292e-8	739278.5320591363
2.0ms	-233.71079706623894	-0.28698906078540337

Samples

1.0ms

16×

valid

Compiler

Compiled 525 to 341 computations (35% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7084875962520292e-8	739278.5320591363

Compiler

Compiled 143 to 99 computations (30.8% saved)

bsearch5.0ms (0.1%)

Memory

-28.9MiB live, 11.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	2.7084875962520292e-8	739278.5320591363

Samples

3.0ms

32×

valid

Compiler

Compiled 143 to 99 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 2.0ms (73.1% of total)

ival-hypot: 1.0ms (36.6% 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)

simplify14.0ms (0.1%)

Memory

-7.7MiB live, 31.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
20×	`*-commutative_binary64`
20×	`sub-neg_binary64`
13×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	405
1	117	405
2	147	405
3	169	405
4	185	405
5	194	405
6	197	405
7	198	405

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 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) 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 -4728779608739021/4503599627370496 binary64)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) 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)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) 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)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 5/4 binary64)) (neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x))) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x)))

Outputs
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) 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 -2476979795053773/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) 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 -4728779608739021/4503599627370496 binary64)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) 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)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64)) x) x #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 5/4 binary64)) (neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x))) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x))) (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)))
(neg.f64 #s(approx (log (- (sqrt (+ (* x x) 1)) x)) (neg.f64 x)))

soundness815.0ms (8.4%)

Memory

33.7MiB live, 539.1MiB allocated

Rules

5 519×	`lower-fma.f64`
5 519×	`lower-fma.f32`
4 914×	`lower-fma.f64`
4 914×	`lower-fma.f32`
3 031×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1266
1	506	1233
2	1415	1203
3	4528	1156
4	7895	1156
0	8267	1103
0	47	287
0	76	246
1	323	240
2	2095	240
0	8378	234
0	7	31
0	12	31
1	44	31
2	297	31
3	3155	31
0	8738	27
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 734 to 308 computations (58% saved)

preprocess78.0ms (0.8%)

Memory: 19.5MiB live, 96.9MiB allocated
Compiler: Compiled 578 to 180 computations (68.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze263.0ms (2.7%)

sample2.2s (22.2%)

explain233.0ms (2.4%)

preprocess15.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize87.0ms (0.9%)

series9.0ms (0.1%)

simplify160.0ms (1.6%)

rewrite218.0ms (2.2%)

eval62.0ms (0.6%)

prune70.0ms (0.7%)

simplify14.0ms (0.1%)

localize226.0ms (2.3%)

series16.0ms (0.2%)

simplify462.0ms (4.7%)

rewrite390.0ms (4%)

eval153.0ms (1.6%)

prune169.0ms (1.7%)

simplify313.0ms (3.2%)

localize428.0ms (4.4%)

series21.0ms (0.2%)

simplify291.0ms (3%)

rewrite501.0ms (5.2%)

eval719.0ms (7.4%)

prune482.0ms (5%)

simplify192.0ms (2%)

localize151.0ms (1.6%)

series7.0ms (0.1%)

simplify191.0ms (2%)

rewrite292.0ms (3%)

eval263.0ms (2.7%)

prune99.0ms (1%)

regimes23.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch47.0ms (0.5%)

bsearch2.0ms (0%)

bsearch8.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

simplify14.0ms (0.1%)

soundness815.0ms (8.4%)

preprocess78.0ms (0.8%)

end0.0ms (0%)

Profiling