Metrics for Hyperbolic arcsine

analyze66.0ms (0.6%)

Memory

4.7MiB live, 122.4MiB 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)

sample1.9s (16.9%)

Memory

38.0MiB live, 2 598.5MiB allocated

Samples

775.0ms	1 599×	2	valid
716.0ms	4 387×	1	valid
131.0ms	2 270×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-log: 716.0ms (53.7% of total)

ival-hypot: 425.0ms (31.9% of total)

adjust: 91.0ms (6.8% of total)

ival-add: 87.0ms (6.5% of total)

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

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess22.0ms (0.2%)

Memory

-28.1MiB live, 15.7MiB 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)))))

explain210.0ms (1.9%)

Memory

13.0MiB live, 291.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
142	-	1	(0.012003729072144989)	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
56	-	0	-	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
45	-	0	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	141	1
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	56	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	45	0
↳	`(*.f64 x x)`	overflow	45
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	45

Confusion

	Predicted +	Predicted -
+	217	1
-	0	38

Precision

1.0

Recall

0.9954128440366973

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	217	1	0
-	0	0	38

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	39
1	192
2	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	112×	2	valid
59.0ms	274×	1	valid
10.0ms	126×	0	valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-log: 47.0ms (45.5% of total)

ival-hypot: 34.0ms (32.9% of total)

adjust: 9.0ms (8.7% of total)

ival-add: 8.0ms (7.7% of total)

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB 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
▶	20.5%	(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

5.5MiB live, 5.5MiB 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)

localize261.0ms (2.3%)

Memory

-22.3MiB live, 60.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	83.6%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	79.7%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	48.9%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

167.0ms	56×	2	valid
24.0ms	137×	1	valid
5.0ms	63×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-hypot: 152.0ms (82.1% of total)

ival-log: 22.0ms (11.9% of total)

adjust: 5.0ms (2.7% of total)

ival-add: 4.0ms (2.2% of total)

ival-mult: 2.0ms (1.1% 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

5.0MiB live, 5.0MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

15 calls:

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

simplify287.0ms (2.6%)

Memory

40.8MiB live, 348.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

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

rewrite359.0ms (3.2%)

Memory

-9.3MiB live, 470.2MiB 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	31
0	12	31
1	44	31
2	297	31
3	3155	31
0	8738	27

Stop Event

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

Counts

5 → 363

Calls

Call 1

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

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

eval184.0ms (1.6%)

Memory: -16.2MiB live, 97.6MiB allocated
Compiler: Compiled 12 006 to 1 635 computations (86.4% saved)

prune53.0ms (0.5%)

Memory

42.5MiB live, 117.2MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	410	11	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	411	11	422

Accuracy

100.0%

Counts

422 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.3%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
	20.5%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶	1.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
	23.3%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
▶	11.0%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
	23.0%	(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)))
▶	22.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
	22.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
	56.2%	#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))
▶	57.5%	#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))
▶	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))

Compiler

Compiled 244 to 140 computations (42.6% saved)

simplify133.0ms (1.2%)

Memory

-31.8MiB live, 141.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

2 488×	`lower-fma.f32`
2 482×	`lower-fma.f64`
1 072×	`lower-*.f32`
1 064×	`lower-*.f64`
750×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	202
0	46	194
1	72	194
2	102	194
3	164	194
4	252	194
5	291	194
6	330	194
7	552	194
8	1053	194
9	1956	194
10	2523	194
11	2567	194
12	2586	194
13	2593	194
14	2593	194
15	2597	194
16	2601	194
0	2601	182

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

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

localize214.0ms (1.9%)

Memory

-13.7MiB live, 302.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	79.7%	(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	accuracy	48.9%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
✓	accuracy	23.6%	#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	48.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	23.6%	#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	79.7%	(+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
✓	accuracy	58.0%	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
✓	accuracy	48.9%	(log.f64 (+.f64 x #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	56.0%	#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	99.6%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	57.5%	#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

60.0ms	137×	1	valid
49.0ms	56×	2	valid
13.0ms	63×	0	valid

Compiler

Compiled 153 to 22 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-log: 24.0ms (26.8% of total)

ival-mult: 17.0ms (19% of total)

const: 14.0ms (15.6% of total)

ival-hypot: 12.0ms (13.4% of total)

adjust: 9.0ms (10.1% of total)

ival-add: 8.0ms (8.9% of total)

ival-div: 3.0ms (3.4% of total)

ival-sub: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

19 → 228

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

57 calls:

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

simplify395.0ms (3.5%)

Memory

-21.2MiB live, 513.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 958×	`lower-fma.f64`
15 958×	`lower-fma.f32`
4 002×	`lower-+.f64`
4 002×	`lower-+.f32`
3 318×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	2106
1	422	2012
2	1143	1998
3	3556	1894
0	8346	1801

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

rewrite390.0ms (3.5%)

Memory

15.7MiB live, 572.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 398×	`lower-fma.f32`
8 392×	`lower-fma.f64`
3 860×	`lower-/.f32`
3 858×	`lower-/.f64`
3 780×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	185
0	46	177
1	168	177
2	1202	177
0	8300	165

Stop Event

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

Counts

19 → 350

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

eval116.0ms (1%)

Memory: 6.6MiB live, 155.0MiB allocated
Compiler: Compiled 14 773 to 1 274 computations (91.4% saved)

prune209.0ms (1.9%)

Memory

1.1MiB live, 159.4MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	607	15	622
Fresh	0	6	6
Picked	0	5	5
Done	0	0	0
Total	607	26	633

Accuracy

100.0%

Counts

633 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.3%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
	20.5%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	1.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
	23.3%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓	11.0%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
	23.0%	(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)))
✓	22.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	22.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
	56.2%	#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))
✓	57.5%	#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))
	56.5%	#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 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64))))) (.f64 x (.f64 x x)) x))
	57.0%	#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))
	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	57.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))))) (.f64 x (.f64 x x)) x))
▶	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (+.f64 (.f64 x (.f64 x #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
	56.5%	#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))
▶	57.0%	#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 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
▶	57.5%	#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))
	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x x))
✓	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
	57.2%	#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))
	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))
	30.6%	#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))) (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))))
	57.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
▶	3.1%	#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)))))

Compiler

Compiled 879 to 423 computations (51.9% saved)

simplify83.0ms (0.7%)

Memory

19.9MiB live, 96.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1 210×	`lower-fma.f32`
1 198×	`lower-fma.f64`
1 118×	`lower-*.f32`
1 100×	`lower-*.f64`
706×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	338
0	63	310
1	118	300
2	203	292
3	466	292
4	1201	292
5	1511	292
6	1841	292
7	2154	292
8	2353	292
9	2625	292
10	2854	292
11	2914	292
12	2914	292
13	2914	292
14	3023	292
15	3027	292
0	3027	280

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize279.0ms (2.5%)

Memory

-2.9MiB live, 439.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	48.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
✓	accuracy	23.9%	#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	74.4%	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
✓	accuracy	57.5%	#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 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 3/40 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (+.f64 (.f64 x (.f64 x #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	56.0%	#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)))))
✓	accuracy	45.4%	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	57.5%	#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

99.0ms	137×	1	valid
97.0ms	56×	2	valid
18.0ms	63×	0	valid

Compiler

Compiled 266 to 36 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 31.0ms (22.5% of total)

const: 30.0ms (21.7% of total)

ival-log: 24.0ms (17.4% of total)

adjust: 20.0ms (14.5% of total)

ival-add: 16.0ms (11.6% of total)

ival-hypot: 13.0ms (9.4% of total)

ival-div: 3.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-7.8MiB live, 26.6MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 3))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt -1/36>
#<alt (- (* 9/1600 (pow x 4)) 1/36)>
#<alt (- (* 9/1600 (pow x 4)) 1/36)>
#<alt (- (* 9/1600 (pow x 4)) 1/36)>
#<alt (* 9/1600 (pow x 4))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 9/1600 (pow x 4))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt 6>
#<alt (+ 6 (* -27/10 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (- (* 243/200 (pow x 2)) 27/10)))>
#<alt (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 243/200 (* -2187/4000 (pow x 2)))) 27/10)))>
#<alt (/ 40/3 (pow x 2))>
#<alt (/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 40/3 (pow x 2))>
#<alt (/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))>

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* (+ (* (* x x) (* (* x x) 9/1600)) -1/36) (/ 1 (+ (* x (* x 3/40)) 1/6)))
1.0ms	x	@	inf	(+ (* (* (+ (* (* x x) (* (* x x) 9/1600)) -1/36) (/ 1 (+ (* x (* x 3/40)) 1/6))) (* x (* x x))) x)
0.0ms	x	@	0	(* (+ (* (* x x) (* (* x x) 9/1600)) -1/36) (/ 1 (+ (* x (* x 3/40)) 1/6)))
0.0ms	x	@	inf	(* x 2)
0.0ms	x	@	-inf	(* x 2)

simplify408.0ms (3.6%)

Memory

7.6MiB live, 658.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 434×	`lower-fma.f64`
17 434×	`lower-fma.f32`
4 572×	`lower-+.f64`
4 572×	`lower-+.f32`
3 526×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	2279
1	459	2173
2	1210	2172
3	3643	2164
0	8548	2051

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 243

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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
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))))))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 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)) 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 (* (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))))))
-1/36
(- (* 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)))))
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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 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)
6
(+ 6 (* -27/10 (pow x 2)))
(+ 6 (* (pow x 2) (- (* 243/200 (pow x 2)) 27/10)))
(+ 6 (* (pow x 2) (- (* (pow x 2) (+ 243/200 (* -2187/4000 (pow x 2)))) 27/10)))
(/ 40/3 (pow x 2))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(/ 40/3 (pow x 2))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (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 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal -3/32 binary64) (.f64 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 -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 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x 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 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
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(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 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal -3/32 binary64) (.f64 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 -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 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x 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 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #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)))))
-1/36
#s(literal -1/36 binary64)
(- (* 9/1600 (pow x 4)) 1/36)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(- (* 9/1600 (pow x 4)) 1/36)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(- (* 9/1600 (pow x 4)) 1/36)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* 9/1600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* 9/1600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/1600 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 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 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal -3/32 binary64) (.f64 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 -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 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x 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 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
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 1/8 binary64) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 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))
6
#s(literal 6 binary64)
(+ 6 (* -27/10 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -27/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (- (* 243/200 (pow x 2)) 27/10)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 243/200 binary64)) #s(literal -27/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (- (* (pow x 2) (+ 243/200 (* -2187/4000 (pow x 2)))) 27/10)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -2187/4000 binary64) #s(literal 243/200 binary64))) #s(literal -27/10 binary64)) #s(literal 6 binary64))
(/ 40/3 (pow x 2))
(/.f64 #s(literal 40/3 binary64) (*.f64 x x))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (.f64 x x))) (/.f64 #s(literal 16000/243 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 16000/243 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (.f64 x x))) (/.f64 #s(literal -320000/2187 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 40/3 (pow x 2))
(/.f64 #s(literal 40/3 binary64) (*.f64 x x))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (.f64 x x))) (/.f64 #s(literal 16000/243 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 16000/243 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (.f64 x x))) (/.f64 #s(literal -320000/2187 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))

rewrite1.2s (10.7%)

Memory

-8.0MiB live, 706.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 578×	`lower-fma.f32`
10 568×	`lower-fma.f64`
4 248×	`lower-*.f32`
4 230×	`lower-*.f64`
3 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	283
0	63	220
1	232	217
2	1532	217
0	8368	208

Stop Event

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

Counts

21 → 954

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

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

eval386.0ms (3.4%)

Memory: 5.7MiB live, 328.9MiB allocated
Compiler: Compiled 50 649 to 1 961 computations (96.1% saved)

prune275.0ms (2.4%)

Memory

1.5MiB live, 203.7MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1 266	9	1 275
Fresh	7	9	16
Picked	1	4	5
Done	1	4	5
Total	1 275	26	1 301

Accuracy

100.0%

Counts

1 301 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.3%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
	20.5%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	1.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
	23.3%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓	11.0%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
	23.0%	(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)))
✓	22.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	22.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
▶	56.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 3/40 binary64) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
	56.2%	#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))
▶	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 3/40 binary64)) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
✓	57.5%	#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))
	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (+.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
✓	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (+.f64 (.f64 x (.f64 x #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x))
	57.5%	#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 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
✓	57.5%	#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))
▶	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x x))
	57.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (*.f64 x x) x))
	57.2%	#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))
	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))
▶	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
	3.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
▶	3.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))
✓	3.1%	#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)))))

Compiler

Compiled 640 to 328 computations (48.8% saved)

simplify374.0ms (3.3%)

Memory

-27.7MiB live, 337.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

7 728×	`lower-fma.f32`
7 710×	`lower-fma.f64`
4 656×	`lower-*.f32`
4 638×	`lower-*.f64`
4 272×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	439
0	70	394
1	137	390
2	287	377
3	872	377
4	1832	377
5	3972	377
6	7562	377
0	8170	360

Stop Event

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

Calls

Call 1

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

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

localize290.0ms (2.6%)

Memory

3.7MiB live, 523.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
✓	accuracy	92.6%	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
✓	accuracy	69.9%	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))
✓	accuracy	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal 3/40 binary64)) (*.f64 x #s(literal -1/6 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 3/40 binary64)) (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))
✓	accuracy	45.4%	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x 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	99.6%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))

Samples

98.0ms	137×	1	valid
72.0ms	56×	2	valid
21.0ms	63×	0	valid

Compiler

Compiled 358 to 42 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult: 43.0ms (28.4% of total)

ival-add: 25.0ms (16.5% of total)

ival-log: 25.0ms (16.5% of total)

const: 22.0ms (14.5% of total)

adjust: 18.0ms (11.9% of total)

ival-hypot: 13.0ms (8.6% of total)

ival-div: 6.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 3))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* -1/6 x)>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 3))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -81/400 (pow x 3))>
#<alt (* (pow x 3) (- (* -6561/160000 (pow x 4)) 81/400))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* -531441/64000000 (pow x 4)) 6561/160000)) 81/400))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -43046721/25600000000 (pow x 4)) 531441/64000000)) 6561/160000)) 81/400))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (/ 160000/6561 (pow x 8)))) x)>
#<alt (/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (+ (* 64000000/531441 (/ 1 (pow x 12))) (/ 160000/6561 (pow x 8))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 400/81 (* 160000/6561 (/ 1 (pow x 4)))) (pow x 4))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 160000/6561 (* 64000000/531441 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 400/81 (/ 1 (pow x 4))))) x))>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 3/40 (* -27/800 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 3/40 (* (pow x 2) (- (* 243/16000 (pow x 2)) 27/800)))) 1/6)>
#<alt (/ -10/27 (pow x 2))>
#<alt (/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))>
#<alt (/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))>
#<alt (/ -10/27 (pow x 2))>
#<alt (/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))>
#<alt (/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* (+ (* (/ (* x (* (* x x) 9/1600)) (+ (* (* x x) (* (* x x) 9/1600)) -1/36)) (* x (+ (* x (* x 3/40)) -1/6))) (/ -1/36 (+ (* 3/40 (* x x)) 1/6))) (* x (* x x))) x)
0.0ms	x	@	0	(+ (* (/ (* x (* (* x x) 9/1600)) (+ (* (* x x) (* (* x x) 9/1600)) -1/36)) (* x (+ (* x (* x 3/40)) -1/6))) (/ -1/36 (+ (* 3/40 (* x x)) 1/6)))
0.0ms	x	@	inf	(/ (* x (* (* x x) 9/1600)) (+ (* (* x x) (* (* x x) 9/1600)) -1/36))
0.0ms	x	@	-inf	(+ (* (+ (* (/ (* x (* (* x x) 9/1600)) (+ (* (* x x) (* (* x x) 9/1600)) -1/36)) (* x (+ (* x (* x 3/40)) -1/6))) (/ -1/36 (+ (* 3/40 (* x x)) 1/6))) (* x (* x x))) x)
0.0ms	x	@	0	(/ (* x (* (* x x) 9/1600)) (+ (* (* x x) (* (* x x) 9/1600)) -1/36))

simplify392.0ms (3.5%)

Memory

15.8MiB live, 804.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 408×	`lower-fma.f64`
16 408×	`lower-fma.f32`
4 546×	`lower-+.f64`
4 546×	`lower-+.f32`
3 884×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	2456
1	434	2332
2	1154	2329
3	3495	2312
0	8223	2192

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 254

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -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 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (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) (- (* 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)))))
(* -81/400 (pow x 3))
(* (pow x 3) (- (* -6561/160000 (pow x 4)) 81/400))
(* (pow x 3) (- (* (pow x 4) (- (* -531441/64000000 (pow x 4)) 6561/160000)) 81/400))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -43046721/25600000000 (pow x 4)) 531441/64000000)) 6561/160000)) 81/400))
(/ 1 x)
(/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (/ 160000/6561 (pow x 8)))) x)
(/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (+ (* 64000000/531441 (/ 1 (pow x 12))) (/ 160000/6561 (pow x 8))))) x)
(/ 1 x)
(/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 400/81 (* 160000/6561 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 160000/6561 (* 64000000/531441 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 400/81 (/ 1 (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)
-1/6
(- (* 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)))))
(* -1/6 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)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 3/40 (* -27/800 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 3/40 (* (pow x 2) (- (* 243/16000 (pow x 2)) 27/800)))) 1/6)
(/ -10/27 (pow x 2))
(/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))
(/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/ -10/27 (pow x 2))
(/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))
(/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))

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 (.f64 x 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 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.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 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (log.f64 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 (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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x 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 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x 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 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(* 3/40 (pow x 5))
(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(* 3/40 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) #s(literal 1 binary64))
(* 3/40 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) #s(literal 1 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
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 (.f64 x 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 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
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(* 3/40 (pow x 5))
(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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
#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))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 (.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))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* -81/400 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81/400 binary64)))
(* (pow x 3) (- (* -6561/160000 (pow x 4)) 81/400))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -6561/160000 binary64) #s(literal -81/400 binary64))))
(* (pow x 3) (- (* (pow x 4) (- (* -531441/64000000 (pow x 4)) 6561/160000)) 81/400))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -531441/64000000 binary64) #s(literal -6561/160000 binary64)) #s(literal -81/400 binary64)))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -43046721/25600000000 (pow x 4)) 531441/64000000)) 6561/160000)) 81/400))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -43046721/25600000000 binary64) #s(literal -531441/64000000 binary64)) #s(literal -6561/160000 binary64)) #s(literal -81/400 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 400/81 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (/ 160000/6561 (pow x 8)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 400/81 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 160000/6561 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (+ (* 64000000/531441 (/ 1 (pow x 12))) (/ 160000/6561 (pow x 8))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 160000/6561 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 400/81 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 64000000/531441 binary64) (pow.f64 x #s(literal 12 binary64))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 400/81 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 400/81 (* 160000/6561 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 400/81 binary64) (/.f64 #s(literal 160000/6561 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 160000/6561 (* 64000000/531441 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 400/81 (/ 1 (pow x 4))))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 400/81 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 160000/6561 binary64) (/.f64 #s(literal 64000000/531441 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 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))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 (.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))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* -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))
-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))
(- (* (pow x 2) (+ 3/40 (* -27/800 (pow x 2)))) 1/6)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -27/800 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 3/40 (* (pow x 2) (- (* 243/16000 (pow x 2)) 27/800)))) 1/6)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 243/16000 binary64) #s(literal -27/800 binary64))) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(/ -10/27 (pow x 2))
(/.f64 #s(literal -10/27 binary64) (*.f64 x x))
(/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))
(/.f64 (+.f64 #s(literal -10/27 binary64) (/.f64 #s(literal 200/243 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 200/243 binary64) (.f64 x x)) (+.f64 #s(literal -10/27 binary64) (/.f64 #s(literal -4000/2187 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal -10/27 binary64) (/.f64 #s(literal 200/243 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 80000/19683 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -4000/2187 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ -10/27 (pow x 2))
(/.f64 #s(literal -10/27 binary64) (*.f64 x x))
(/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))
(/.f64 (+.f64 #s(literal -10/27 binary64) (/.f64 #s(literal 200/243 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 200/243 binary64) (.f64 x x)) (+.f64 #s(literal -10/27 binary64) (/.f64 #s(literal -4000/2187 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal -10/27 binary64) (/.f64 #s(literal 200/243 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 80000/19683 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -4000/2187 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))

rewrite674.0ms (6%)

Memory

0.0MiB live, 708.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 082×	`lower-*.f32`
5 064×	`lower-*.f64`
4 638×	`lower-fma.f32`
4 620×	`lower-fma.f64`
4 092×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	357
0	70	317
1	299	302
2	2226	302
0	8580	286

Stop Event

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

Counts

22 → 753

Calls

Call 1

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

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

eval509.0ms (4.5%)

Memory: -176.1MiB live, 384.2MiB allocated
Compiler: Compiled 69 201 to 3 084 computations (95.5% saved)

prune124.0ms (1.1%)

Memory

27.7MiB live, 304.9MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1 331	3	1 334
Fresh	7	6	13
Picked	3	2	5
Done	4	4	8
Total	1 345	15	1 360

Accuracy

100.0%

Counts

1 360 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.3%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
	20.5%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	1.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
	23.3%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓	11.0%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
	23.0%	(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)))
✓	22.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	22.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
	56.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	56.2%	#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))
	56.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 x (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x x)) x x))
	57.5%	#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 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x x)) x))
✓	56.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
✓	57.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
	58.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 921 to 257 computations (72.1% saved)

regimes45.0ms (0.4%)

Memory

6.5MiB live, 46.0MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

24.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
10.0ms	x
9.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.2%	3	`x`
92.0%	4	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
92.0%	4	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes28.0ms (0.2%)

Memory

-23.1MiB live, 16.2MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

33 → 3

Calls

Call 1

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

9.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes47.0ms (0.4%)

Memory

-2.9MiB live, 35.7MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

29.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
9.0ms	x
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
77.9%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
77.9%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
78.0%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes94.0ms (0.8%)

Memory

-10.3MiB live, 27.4MiB allocated

Counts

29 → 2

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
8.0ms	x
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
63.3%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
63.3%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
63.4%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes52.0ms (0.5%)

Memory

-12.3MiB live, 30.0MiB allocated

Accuracy

Total -35.3b remaining (-131.7%)

Threshold costs -35.3b (-131.7%)

Counts

28 → 1

Calls

Call 1

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

Calls

3 calls:

8.0ms	x
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
6.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
58.1%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
58.1%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
58.1%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch23.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.8572570821504623	6.5860847360296235
12.0ms	-30.525926132652128	-0.033060077603653065

Samples

12.0ms

224×

valid

Compiler

Compiled 477 to 277 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 4.0ms (50.9% of total)

ival-log: 3.0ms (38.2% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.8572570821504623	6.5860847360296235
4.0ms	-30.525926132652128	-0.033060077603653065

Samples

2.0ms

32×

valid

Compiler

Compiled 429 to 245 computations (42.9% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

-24.5MiB live, 13.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.8572570821504623	6.5860847360296235
1.0ms	-30.525926132652128	-0.033060077603653065

Samples

3.0ms

48×

valid

Compiler

Compiled 405 to 233 computations (42.5% saved)

Precisions

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

ival-log: 1.0ms (59.6% of total)

ival-hypot: 1.0ms (59.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.8572570821504623	6.5860847360296235

Samples

2.0ms

32×

valid

Compiler

Compiled 97 to 63 computations (35.1% saved)

Precisions

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

ival-hypot: 1.0ms (91.8% 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)

bsearch7.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.8572570821504623	6.5860847360296235

Samples

3.0ms

64×

valid

Compiler

Compiled 97 to 63 computations (35.1% saved)

Precisions

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

ival-log: 1.0ms (43.6% of total)

ival-hypot: 1.0ms (43.6% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

-17.4MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	309
1	78	309
2	86	309
3	92	309
4	97	309
5	99	309

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5674535530486825/4503599627370496 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 -5674535530486825/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64)) x))

Outputs
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5674535530486825/4503599627370496 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 -5674535530486825/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64)))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64)))) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 3/40)) -1/6))) 1) #s(literal 1 binary64))))

soundness887.0ms (7.9%)

Memory

6.1MiB live, 686.2MiB allocated

Rules

16 408×	`lower-fma.f64`
16 408×	`lower-fma.f32`
11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
10 578×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	2456
1	434	2332
2	1154	2329
3	3495	2312
0	8223	2192
0	29	185
0	46	177
1	168	177
2	1202	177
0	8300	165
0	40	283
0	63	220
1	232	217
2	1532	217
0	8368	208
0	125	525
1	353	517
2	931	509
3	2909	479
4	7021	479
0	8073	448

Stop Event

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

Compiler

Compiled 363 to 171 computations (52.9% saved)

preprocess170.0ms (1.5%)

Memory: -8.0MiB live, 161.7MiB allocated
Compiler: Compiled 388 to 136 computations (64.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze66.0ms (0.6%)

sample1.9s (16.9%)

preprocess22.0ms (0.2%)

explain210.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize261.0ms (2.3%)

series5.0ms (0%)

simplify287.0ms (2.6%)

rewrite359.0ms (3.2%)

eval184.0ms (1.6%)

prune53.0ms (0.5%)

simplify133.0ms (1.2%)

localize214.0ms (1.9%)

series9.0ms (0.1%)

simplify395.0ms (3.5%)

rewrite390.0ms (3.5%)

eval116.0ms (1%)

prune209.0ms (1.9%)

simplify83.0ms (0.7%)

localize279.0ms (2.5%)

series13.0ms (0.1%)

simplify408.0ms (3.6%)

rewrite1.2s (10.7%)

eval386.0ms (3.4%)

prune275.0ms (2.4%)

simplify374.0ms (3.3%)

localize290.0ms (2.6%)

series12.0ms (0.1%)

simplify392.0ms (3.5%)

rewrite674.0ms (6%)

eval509.0ms (4.5%)

prune124.0ms (1.1%)

regimes45.0ms (0.4%)

regimes28.0ms (0.2%)

regimes11.0ms (0.1%)

regimes47.0ms (0.4%)

regimes94.0ms (0.8%)

regimes52.0ms (0.5%)

bsearch23.0ms (0.2%)

bsearch5.0ms (0%)

bsearch15.0ms (0.1%)

bsearch4.0ms (0%)

bsearch7.0ms (0.1%)

simplify11.0ms (0.1%)

soundness887.0ms (7.9%)

preprocess170.0ms (1.5%)

end0.0ms (0%)

Profiling