Metrics for Hyperbolic arcsine

analyze67.0ms (0.6%)

Memory

-5.7MiB live, 158.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
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)

sample2.6s (21.6%)

Memory

35.1MiB live, 3 399.1MiB allocated

Samples

1.1s	1 567×	2	valid
852.0ms	4 458×	1	valid
273.0ms	2 231×	0	valid

Precisions

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

ival-log: 1.1s (55.7% of total)

ival-hypot: 596.0ms (30.6% of total)

ival-add: 140.0ms (7.2% of total)

adjust: 113.0ms (5.8% 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

preprocess26.0ms (0.2%)

Memory

-14.0MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain341.0ms (2.8%)

Memory

11.7MiB live, 408.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
122	1	(-0.009680442781228264)	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
76	0	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
60	0	-	-	`(+.f64 x (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	123	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	76	0
↳	`(*.f64 x x)`	overflow	76
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	76
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	60	0

Confusion

	Predicted +	Predicted -
+	221	0
-	1	34

Precision

0.9954954954954955

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	221	0	0
-	1	0	34

Precision?

0.9954954954954955

Recall?

1.0

Freqs

test

number	freq
0	34
1	185
2	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

136.0ms	270×	1	valid
82.0ms	86×	2	valid
11.0ms	156×	0	valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-log: 78.0ms (37.6% of total)

ival-hypot: 73.0ms (35.2% of total)

ival-mult: 40.0ms (19.3% of total)

adjust: 8.0ms (3.9% of total)

ival-add: 7.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.0%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (0.7%)

Memory

-27.1MiB live, 169.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	78.1%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	72.3%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	55.6%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

40.0ms	135×	1	valid
22.0ms	43×	2	valid
6.0ms	78×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-log: 21.0ms (38.4% of total)

ival-mult: 13.0ms (23.8% of total)

ival-hypot: 10.0ms (18.3% of total)

adjust: 7.0ms (12.8% of total)

ival-add: 4.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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>) () ())) ())

Calls

12 calls:

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

simplify557.0ms (4.6%)

Memory

0.6MiB live, 674.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	489
1	353	481
2	931	473
3	2909	443
4	7021	443
0	8073	412

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

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)))))

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

rewrite327.0ms (2.7%)

Memory

-7.5MiB live, 694.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	44	28
2	297	28
3	3155	28
0	8738	24

Stop Event

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

Counts

4 → 355

Calls

Call 1

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

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

eval147.0ms (1.2%)

Memory: 5.2MiB live, 120.6MiB allocated
Compiler: Compiled 11 800 to 1 598 computations (86.5% saved)

prune131.0ms (1.1%)

Memory

10.4MiB live, 168.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	390	11	401
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	391	11	402

Accuracy

100.0%

Counts

402 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.0%	(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
▶	18.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
	29.1%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
▶	12.2%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
	5.4%	(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
	24.2%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
▶	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
	28.4%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
	48.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
▶	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
▶	48.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))

Compiler

Compiled 256 to 148 computations (42.2% saved)

simplify18.0ms (0.1%)

Memory

-9.7MiB live, 29.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

330×	`lower-fma.f32`
322×	`lower-fma.f64`
236×	`lower-*.f32`
228×	`lower-*.f64`
126×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	170
0	48	162
1	71	162
2	95	162
3	151	162
4	230	162
5	250	162
6	250	162
7	316	162
8	317	162
9	318	162
0	318	160

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize168.0ms (1.4%)

Memory

9.0MiB live, 374.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal 1 binary64))
✓	accuracy	78.1%	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
✓	accuracy	72.3%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	55.6%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	55.6%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	25.5%	#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	78.1%	(+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
✓	accuracy	55.6%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	accuracy	50.5%	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	48.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))

Samples

71.0ms	135×	1	valid
43.0ms	43×	2	valid
17.0ms	78×	0	valid

Compiler

Compiled 150 to 24 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-log: 43.0ms (39.6% of total)

ival-mult: 19.0ms (17.5% of total)

ival-hypot: 12.0ms (11% of total)

ival-add: 12.0ms (11% of total)

const: 11.0ms (10.1% of total)

adjust: 9.0ms (8.3% of total)

ival-div: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

-6.3MiB live, 31.9MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify563.0ms (4.6%)

Memory

9.3MiB live, 1 005.4MiB allocated

Algorithm

1×	egg-herbie

Rules

28 468×	`lower-fma.f64`
28 468×	`lower-fma.f32`
4 148×	`lower-+.f64`
4 148×	`lower-+.f32`
4 024×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	2061
1	425	1967
2	1145	1962
3	3573	1894
0	8351	1792

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 219

Calls

Call 1

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

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

rewrite363.0ms (3%)

Memory

-17.6MiB live, 703.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 630×	`lower-fma.f32`
7 622×	`lower-fma.f64`
4 750×	`lower-*.f32`
4 742×	`lower-*.f64`
4 026×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	156
0	48	148
1	156	148
2	1018	148
0	8309	146

Stop Event

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

Counts

19 → 443

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(+.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) x)
(+.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x)
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(.f64 (sqrt.f64 (fma.f64 x (.f64 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 x (.f64 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 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 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 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (log1p.f64 (*.f64 x x)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #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 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x))))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 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 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))))
(.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))

eval217.0ms (1.8%)

Memory: 8.6MiB live, 199.9MiB allocated
Compiler: Compiled 17 831 to 1 755 computations (90.2% saved)

prune127.0ms (1%)

Memory

-15.7MiB live, 308.6MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	663	19	682
Fresh	5	1	6
Picked	0	5	5
Done	0	0	0
Total	668	25	693

Accuracy

100.0%

Counts

693 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
✓	18.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
	29.1%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) x))
✓	12.2%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
	5.4%	(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
	24.2%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
	28.4%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64))))
✓	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
	48.6%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x))
	50.0%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
✓	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
	48.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) (.f64 x (.f64 x x)) x))
▶	49.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
	48.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x))
	49.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x))
▶	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
	48.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
▶	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
	48.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
✓	48.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
	49.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 x (.f64 x x)) x))
	27.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x)))))
▶	27.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))))
▶	2.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))

Compiler

Compiled 874 to 405 computations (53.7% saved)

simplify263.0ms (2.2%)

Memory

29.7MiB live, 584.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x))
✓	cost-diff	128	(fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
✓	cost-diff	128	(neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
✓	cost-diff	4480	(/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x)
✓	cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
✓	cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))
✓	cost-diff	0	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
✓	cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))

Rules

10 688×	`lower-fma.f32`
10 670×	`lower-fma.f64`
3 134×	`lower-*.f32`
3 132×	`lower--.f64`
3 132×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	535
0	76	430
1	166	423
2	409	415
3	1728	390
4	5790	390
0	8139	377

Stop Event

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

Calls

Call 1

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

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

localize316.0ms (2.6%)

Memory

-7.4MiB live, 592.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))))
✓	accuracy	36.9%	(/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9/1600 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	67.4%	(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.8%	(.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))
✓	accuracy	99.7%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	53.5%	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	accuracy	48.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))

Samples

132.0ms	135×	1	valid
59.0ms	43×	2	valid
28.0ms	78×	0	valid

Compiler

Compiled 452 to 45 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-mult: 55.0ms (34.3% of total)

ival-add: 25.0ms (15.6% of total)

const: 23.0ms (14.3% of total)

ival-log: 20.0ms (12.5% of total)

adjust: 15.0ms (9.3% of total)

ival-hypot: 12.0ms (7.5% of total)

ival-div: 5.0ms (3.1% of total)

ival-neg: 5.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory

-0.8MiB live, 37.6MiB allocated

Counts

24 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

simplify332.0ms (2.7%)

Memory

-22.3MiB live, 663.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 090×	`lower-fma.f64`
14 090×	`lower-fma.f32`
3 412×	`lower-+.f64`
3 412×	`lower-+.f32`
3 098×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	2744
1	344	2616
2	975	2610
3	2995	2610
4	7298	2610
0	8273	2500

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))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
-1/36
(- (* 9/1600 (pow x 4)) 1/36)
(- (* 9/1600 (pow x 4)) 1/36)
(- (* 9/1600 (pow x 4)) 1/36)
(* 9/1600 (pow x 4))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* 9/1600 (pow x 4))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* -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 (* -3/40 (pow x 2)))) 1))
(* -3/40 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))
(* -3/40 (pow x 5))
(* -1 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 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))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2))))))
(* -3/40 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))
(* (pow x 5) (- (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 3/40))
(* (pow x 5) (- (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 3/40))
(* -3/40 (pow x 5))
(* -1 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 3/40 (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))))))
(* -1 (* (pow x 5) (+ 3/40 (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))))))
(* -1 x)
(* x (- (* -1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) 1))
(* x (- (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) 1))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 3/40 (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2)))))
(* (pow x 5) (+ 3/40 (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (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))) (/ 1 (pow x 4))) 3/40)))
(* -1 (* (pow x 5) (- (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 3/40)))
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (pow x 2))
(* 9/1600 (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)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (log.f64 #s(literal 1/2 binary64)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (log.f64 #s(literal 1/2 binary64)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* 3/40 (pow x 5))
(.f64 (.f64 x x) (.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x))))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* 3/40 (pow x 5))
(.f64 (.f64 x x) (.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (log.f64 #s(literal 1/2 binary64)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (log.f64 #s(literal 1/2 binary64)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
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(* -1 (* (pow x 5) (+ 3/40 (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -3/40 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (+ 3/40 (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -3/40 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/6 (pow x 2)) 1))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) 1))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) 1))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* 3/40 (pow x 5))
(.f64 (.f64 x x) (.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x))))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (+ 3/40 (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 5) (+ 3/40 (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 x x))))
(* 3/40 (pow x 5))
(.f64 (.f64 x x) (.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 3/40)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 3/40)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 3/40 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 x x))))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
(* 9/1600 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/1600 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (log.f64 #s(literal 1/2 binary64)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (log.f64 #s(literal 1/2 binary64)))))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))

rewrite653.0ms (5.4%)

Memory

26.4MiB live, 1 250.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 660×	`lower-fma.f32`
7 644×	`lower-fma.f64`
3 534×	`lower-/.f32`
3 530×	`lower-/.f64`
3 356×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	427
0	76	268
1	316	265
2	2276	265
0	9104	257

Stop Event

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

Counts

24 → 2 375

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(+.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(+.f64 (neg.f64 x) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) x)
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (neg.f64 x))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (neg.f64 (neg.f64 x)))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(+.f64 (neg.f64 (neg.f64 x)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(+.f64 (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) #s(literal 0 binary64)) x)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))) #s(literal -1 binary64)))
(-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(-.f64 (neg.f64 x) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) x)
(-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (/.f64 (.f64 x (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)))
(-.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) #s(literal 0 binary64)) x)
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 27/64000 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 x (.f64 x #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 3/40 binary64)) (.f64 x (.f64 x x)))))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))

eval495.0ms (4.1%)

Memory: 63.1MiB live, 1 023.5MiB allocated
Compiler: Compiled 140 698 to 4 421 computations (96.9% saved)

prune344.0ms (2.8%)

Memory

-14.3MiB live, 842.5MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	3 040	2	3 042
Fresh	9	6	15
Picked	5	0	5
Done	0	5	5
Total	3 054	13	3 067

Accuracy

100.0%

Counts

3 067 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
✓	18.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
	29.1%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) x))
✓	12.2%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
▶	5.4%	(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
▶	24.2%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
▶	28.4%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64))))
✓	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
	48.6%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x))
✓	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
▶	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
✓	48.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
▶	50.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))

Compiler

Compiled 254 to 147 computations (42.1% saved)

simplify847.0ms (7%)

Memory

-21.0MiB live, 649.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
✓	cost-diff	576	(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
✓	cost-diff	896	(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	0	#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	cost-diff	0	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
✓	cost-diff	0	#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64))))
✓	cost-diff	128	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64))
✓	cost-diff	0	(/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x)
✓	cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	#s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))
✓	cost-diff	0	(neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x)))
✓	cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))

Rules

12 908×	`lower-fma.f32`
12 902×	`lower-fma.f64`
4 048×	`lower-*.f32`
4 038×	`lower-*.f64`
2 416×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	452
0	87	431
1	162	389
2	387	381
3	1507	381
4	4890	296
0	8210	289

Stop Event

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

Calls

Call 1

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

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

localize468.0ms (3.9%)

Memory

18.5MiB live, 784.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	73.7%	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
✓	accuracy	72.3%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	55.6%	(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
✓	accuracy	50.4%	(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	accuracy	99.5%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	55.6%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
✓	accuracy	24.9%	#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	55.6%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64))))
✓	accuracy	30.0%	#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	67.4%	(/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
✓	accuracy	48.4%	#s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64))
✓	accuracy	100.0%	(neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	50.9%	#s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))
✓	accuracy	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))

Samples

285.0ms	206×	1	valid
78.0ms	43×	2	valid
3.0ms	7×	0	valid

Compiler

Compiled 351 to 49 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-neg: 77.0ms (23.3% of total)

const: 71.0ms (21.5% of total)

ival-log: 62.0ms (18.8% of total)

ival-mult: 36.0ms (10.9% of total)

ival-add: 26.0ms (7.9% of total)

adjust: 24.0ms (7.3% of total)

ival-div: 14.0ms (4.2% of total)

ival-hypot: 13.0ms (3.9% of total)

ival-sub: 5.0ms (1.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series23.0ms (0.2%)

Memory

10.4MiB live, 48.8MiB allocated

Counts

23 → 276

Calls

Call 1

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

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/ (+ -1/2 (/ 1/8 (* x x))) x)
2.0ms	x	@	inf	(* x 2)
0.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	inf	(/ (+ -1/2 (/ 1/8 (* x x))) x)
0.0ms	x	@	0	(log (* (/ 1 (- x (sqrt (+ (* x x) 1)))) (- (* x x) (+ (* x x) 1))))

simplify514.0ms (4.2%)

Memory

-38.3MiB live, 741.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 024×	`lower-fma.f64`
12 024×	`lower-fma.f32`
3 112×	`lower-*.f64`
3 112×	`lower-*.f32`
3 104×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	2566
1	559	2483
2	1513	2454
3	4583	2402
0	8373	2288

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 268

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 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 (* -3/40 (pow x 2)))) 1))
(* -3/40 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))
(* -3/40 (pow x 5))
(* -1 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
-1/36
(- (* 9/1600 (pow x 4)) 1/36)
(- (* 9/1600 (pow x 4)) 1/36)
(- (* 9/1600 (pow x 4)) 1/36)
(* 9/1600 (pow x 4))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* 9/1600 (pow x 4))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* 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))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
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 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* 1/8 (pow x 2)) 1/2)) 1)) 1)
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) 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)
(* 3/40 x)
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
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
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))

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

rewrite282.0ms (2.3%)

Memory

3.0MiB live, 637.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 866×	`lower-fma.f32`
3 860×	`lower-fma.f64`
3 700×	`lower-/.f32`
3 692×	`lower-/.f64`
3 576×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	416
0	87	375
1	337	342
2	2802	258
0	8467	244

Stop Event

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

Counts

23 → 377

Calls

Call 1

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

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

eval131.0ms (1.1%)

Memory: 5.7MiB live, 193.9MiB allocated
Compiler: Compiled 14 681 to 1 652 computations (88.7% saved)

prune121.0ms (1%)

Memory

22.4MiB live, 349.9MiB allocated

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	631	14	645
Fresh	1	2	3
Picked	1	4	5
Done	0	5	5
Total	633	25	658

Accuracy

100.0%

Counts

658 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.4%	(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))))
	18.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
	14.3%	(neg.f64 (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
✓	18.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
	29.1%	(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) x))
✓	12.2%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	5.4%	(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
✓	28.4%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64))))
✓	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
	48.6%	#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
✓	50.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
	49.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) x))
	49.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) x))
✓	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)))) (.f64 x (.f64 x x)) x))
	50.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x) x x))
	49.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64))))) (.f64 x (.f64 x x)) x))
	49.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x)) x x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 x x)) x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
✓	48.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
	49.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
	29.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))))))
✓	50.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))

Compiler

Compiled 1 248 to 390 computations (68.8% saved)

regimes40.0ms (0.3%)

Memory

-1.4MiB live, 119.1MiB allocated

Counts

47 → 3

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 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 x #s(literal 2 binary64))))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 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 x (/.f64 #s(literal 1/2 binary64) x))) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))))
(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))

Outputs

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

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

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

Calls

3 calls:

13.0ms	x
13.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
11.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.6%	3	`x`
85.4%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
85.4%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-2.4MiB live, 37.3MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 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 x #s(literal 2 binary64))))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 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 x (/.f64 #s(literal 1/2 binary64) x))) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Memory

-7.6MiB live, 31.3MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 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 x #s(literal 2 binary64))))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x)))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes32.0ms (0.3%)

Memory

-7.7MiB live, 72.3MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 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 x #s(literal 2 binary64))))
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x)))))

Outputs

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

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

Calls

3 calls:

13.0ms	x
8.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
8.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
76.8%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
76.8%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
77.3%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory

-13.0MiB live, 66.2MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))

Outputs

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

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

Calls

3 calls:

9.0ms	x
7.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
57.7%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
57.7%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
58.3%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory

24.1MiB live, 64.8MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64))))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/80 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))))

Outputs

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

Calls

3 calls:

9.0ms	x
8.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
50.9%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
50.9%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
50.9%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-5.2MiB live, 34.3MiB allocated

Accuracy

Total -30.8b remaining (-97.3%)

Threshold costs -30.8b (-97.3%)

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x)) x x))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.6%	1	`x`
50.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
50.6%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch63.0ms (0.5%)

Memory

9.5MiB live, 48.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.474678065951798e-7	63.35369158276165
47.0ms	-412522.5801605475	-0.37531807212198165

Samples

49.0ms

288×

valid

Compiler

Compiled 607 to 351 computations (42.2% saved)

Precisions

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

ival-hypot: 5.0ms (50% of total)

ival-log: 3.0ms (30% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.474678065951798e-7	63.35369158276165
4.0ms	-412522.5801605475	-0.37531807212198165

Samples

2.0ms

32×

valid

Compiler

Compiled 553 to 315 computations (43% saved)

Precisions

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

ival-hypot: 1.0ms (84.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Memory

-22.7MiB live, 17.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	8.474678065951798e-7	63.35369158276165
10.0ms	-412522.5801605475	-0.37531807212198165

Samples

3.0ms

64×

valid

Compiler

Compiled 517 to 297 computations (42.6% saved)

Precisions

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

ival-log: 1.0ms (46.1% of total)

ival-hypot: 1.0ms (46.1% 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%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	8.474678065951798e-7	63.35369158276165

Samples

3.0ms

48×

valid

Compiler

Compiled 247 to 153 computations (38.1% saved)

Precisions

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

ival-log: 1.0ms (59.2% of total)

ival-hypot: 1.0ms (59.2% 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)

bsearch11.0ms (0.1%)

Memory

-27.7MiB live, 21.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.474678065951798e-7	63.35369158276165

Samples

6.0ms

80×

valid

Compiler

Compiled 247 to 153 computations (38.1% saved)

Precisions

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

ival-log: 1.0ms (35.9% of total)

ival-hypot: 1.0ms (35.9% 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)

simplify12.0ms (0.1%)

Memory

-7.2MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	402
1	105	402
2	115	402
3	121	402
4	124	402
5	125	402

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -1261007895663739/1125899906842624 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) x) x x)) (log.f64 #s(approx (+ x (sqrt (+ ( x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 9/2 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) x) x x)) (log.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))

Outputs
(if (<=.f64 x #s(literal -1261007895663739/1125899906842624 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) x) x x)) (log.f64 #s(approx (+ x (sqrt (+ ( x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (.f64 x #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x x)) (log.f64 #s(approx (+ x (sqrt (+ ( x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 9/2 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) x) x x)) (log.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 9/2 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (.f64 x #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x x)) (log.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (/.f64 (.f64 x #s(approx (+ (* (* x x) (* (* x x) 9/1600)) -1/36) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (neg.f64 #s(approx (/ (* (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (+ (* (neg x) (* (* x x) (+ (* x (* x 3/40)) -1/6))) x)) (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) (neg x))) (neg.f64 x))))

soundness935.0ms (7.7%)

Memory

21.2MiB live, 868.6MiB allocated

Rules

14 090×	`lower-fma.f64`
14 090×	`lower-fma.f32`
11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
7 630×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	489
1	353	481
2	931	473
3	2909	443
4	7021	443
0	8073	412
0	59	416
0	87	375
1	337	342
2	2802	258
0	8467	244
0	29	156
0	48	148
1	156	148
2	1018	148
0	8309	146
0	132	2744
1	344	2616
2	975	2610
3	2995	2610
4	7298	2610
0	8273	2500

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 479 to 223 computations (53.4% saved)

preprocess294.0ms (2.4%)

Memory: 6.1MiB live, 204.5MiB allocated
Compiler: Compiled 470 to 152 computations (67.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	29	170
0	48	162
1	71	162
2	95	162
3	151	162
4	230	162
5	250	162
6	250	162
7	316	162
8	317	162
9	318	162
0	318	160

Iter	Nodes	Cost
0	29	170
0	48	162
1	71	162
2	95	162
3	151	162
4	230	162
5	250	162
6	250	162
7	316	162
8	317	162
9	318	162
0	318	160

analyze67.0ms (0.6%)

sample2.6s (21.6%)

preprocess26.0ms (0.2%)

explain341.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize82.0ms (0.7%)

series5.0ms (0%)

simplify557.0ms (4.6%)

rewrite327.0ms (2.7%)

eval147.0ms (1.2%)

prune131.0ms (1.1%)

simplify18.0ms (0.1%)

localize168.0ms (1.4%)

series15.0ms (0.1%)

simplify563.0ms (4.6%)

rewrite363.0ms (3%)

eval217.0ms (1.8%)

prune127.0ms (1%)

simplify263.0ms (2.2%)

localize316.0ms (2.6%)

series47.0ms (0.4%)

simplify332.0ms (2.7%)

rewrite653.0ms (5.4%)

eval495.0ms (4.1%)

prune344.0ms (2.8%)

simplify847.0ms (7%)

localize468.0ms (3.9%)

series23.0ms (0.2%)

simplify514.0ms (4.2%)

rewrite282.0ms (2.3%)

eval131.0ms (1.1%)

prune121.0ms (1%)

regimes40.0ms (0.3%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes32.0ms (0.3%)

regimes26.0ms (0.2%)

regimes26.0ms (0.2%)

regimes13.0ms (0.1%)

bsearch63.0ms (0.5%)

bsearch5.0ms (0%)

bsearch18.0ms (0.1%)

bsearch6.0ms (0%)

bsearch11.0ms (0.1%)

simplify12.0ms (0.1%)

soundness935.0ms (7.7%)

preprocess294.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	170
0	48	162
1	71	162
2	95	162
3	151	162
4	230	162
5	250	162
6	250	162
7	316	162
8	317	162
9	318	162
0	318	160