Metrics for Hyperbolic arcsine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze71.0ms (0.7%)

Memory

22.2MiB live, 144.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.4s (22.1%)

Memory

11.2MiB live, 2 376.6MiB allocated

Samples

949.0ms	4 375×	1	valid
928.0ms	1 566×	2	valid
175.0ms	2 315×	0	valid

Precisions

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

ival-log: 907.0ms (55.6% of total)

ival-hypot: 493.0ms (30.2% of total)

ival-add: 111.0ms (6.8% of total)

adjust: 107.0ms (6.6% of total)

ival-true: 6.0ms (0.4% of total)

exact: 5.0ms (0.3% of total)

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

Bogosity

explain230.0ms (2.1%)

Memory

6.4MiB live, 122.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
132	92	(7.98673981186166e+224)	132	(2.7471384921851246e-157)	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
62	0	-	0	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
59	33	(7.98673981186166e+224)	0	-	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	oflow-right	62	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	62	0
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	62
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	oflow-rescue	62	0
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	62
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	30	0
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	uflow-rescue	29	0
↳	`(*.f64 x x)`	underflow	67
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	92	132
-	0	32

Precision

1.0

Recall

0.4107142857142857

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	132
-	0	0	32

Precision?

1.0

Recall?

0.4107142857142857

Freqs

test

number	freq
0	164
2	30
3	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	272×	1	valid
45.0ms	100×	2	valid
10.0ms	140×	0	valid

Compiler

Compiled 114 to 42 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-log: 41.0ms (49.4% of total)

ival-hypot: 21.0ms (25.3% of total)

adjust: 8.0ms (9.6% of total)

ival-add: 7.0ms (8.4% of total)

ival-mult: 5.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess48.0ms (0.4%)

Memory

-20.0MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.4%	(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

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (0.7%)

Memory

19.0MiB live, 57.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	13.78376358310012	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	14.421893236723761	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	30.57556619602227	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

37.0ms	136×	1	valid
22.0ms	50×	2	valid
5.0ms	70×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-log: 20.0ms (48.3% of total)

ival-hypot: 11.0ms (26.6% of total)

adjust: 4.0ms (9.7% of total)

ival-add: 4.0ms (9.7% of total)

ival-mult: 2.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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	@	-inf	(+ x (sqrt (+ (* x x) 1)))

simplify965.0ms (8.9%)

Memory

4.8MiB live, 397.0MiB 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)

rewrite333.0ms (3.1%)

Memory

-28.1MiB live, 696.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 363

Calls

Call 1

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

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

eval77.0ms (0.7%)

Memory: 1.5MiB live, 164.8MiB allocated
Compiler: Compiled 12 006 to 1 635 computations (86.4% saved)

prune54.0ms (0.5%)

Memory

22.8MiB live, 145.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	412	9	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	9	422

Accuracy

100.0%

Counts

422 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
	17.4%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶	1.7%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
	11.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
▶	23.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
	23.5%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	25.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
▶	53.2%	#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))
▶	51.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))

Compiler

Compiled 184 to 108 computations (41.3% saved)

simplify390.0ms (3.6%)

Memory

8.7MiB live, 124.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 896×	`lower-fma.f32`
2 890×	`lower-fma.f64`
1 352×	`lower-*.f32`
1 342×	`lower-*.f64`
954×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	235
0	54	227
1	83	227
2	113	227
3	175	227
4	261	227
5	300	227
6	339	227
7	558	227
8	1061	227
9	2025	227
10	2655	227
11	2875	227
12	3086	227
13	3169	227
14	3240	227
15	3462	227
16	3755	227
17	3755	227
18	3755	227
19	3763	227
0	3763	216

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize244.0ms (2.3%)

Memory

-23.7MiB live, 378.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
accuracy	0.20256644150434022	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
accuracy	30.57556619602227	(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)))
accuracy	48.32093973836472	#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
accuracy	0.00390625	(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
accuracy	13.78376358310012	(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
accuracy	30.57556619602227	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
accuracy	48.103490341765124	#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	30.57556619602227	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
accuracy	46.29750306010089	#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
accuracy	0.3046875	(*.f64 x #s(literal -1/6 binary64))
accuracy	30.762095159503104	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
accuracy	0.04296875	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.25390625	(*.f64 x #s(literal 3/40 binary64))
accuracy	29.92542738004218	#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

125.0ms	136×	1	valid
45.0ms	50×	2	valid
23.0ms	70×	0	valid

Compiler

Compiled 172 to 28 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 78.0ms (47.9% of total)

ival-log: 22.0ms (13.5% of total)

ival-hypot: 20.0ms (12.3% of total)

const: 11.0ms (6.8% of total)

adjust: 10.0ms (6.1% of total)

ival-div: 10.0ms (6.1% of total)

ival-add: 10.0ms (6.1% of total)

ival-sub: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series13.0ms (0.1%)

Memory

-12.6MiB live, 25.5MiB allocated

Counts

21 → 252

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 #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 (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 (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)))>
#<alt #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))>
#<alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)>
#<alt (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (/.f64 #s(literal 1/8 binary64) (*.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 (* 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 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 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 (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<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 (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>

Calls

63 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	@	0	(/ (+ -1/2 (/ 1/8 (* x x))) x)
0.0ms	x	@	inf	(/ (+ -1/2 (/ 1/8 (* x x))) x)

simplify443.0ms (4.1%)

Memory

40.4MiB live, 469.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 970×	`lower-fma.f64`
15 970×	`lower-fma.f32`
4 024×	`lower-+.f64`
4 024×	`lower-+.f32`
3 334×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	2216
1	433	2122
2	1164	2103
3	3595	2021
0	8446	1930

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 244

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

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

rewrite302.0ms (2.8%)

Memory

-18.8MiB live, 459.6MiB allocated

Rules

6 200×	`lower-fma.f32`
6 194×	`lower-fma.f64`
4 362×	`lower-/.f32`
4 356×	`lower-/.f64`
3 662×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	214
0	54	206
1	194	206
2	1394	206
0	8245	191

Stop Event

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

Counts

21 → 366

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

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
(+.f64 x (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(+.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) x)
(+.f64 (/.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 (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 x) (.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))))
(fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #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) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9/1600 binary64) (-.f64 #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 (.f64 x x) (.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) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9/1600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/80 binary64))))) x)
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.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)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #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 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))) (fma.f64 x (-.f64 x (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))) (fma.f64 x x (-.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))) (-.f64 x (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))))))
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(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (fma.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 x (.f64 x #s(literal 8 binary64))))))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 8 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) x)
(pow.f64 (.f64 x (.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (*.f64 x #s(literal 8 binary64))))))
(*.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal -1 binary64) x))

eval77.0ms (0.7%)

Memory: 15.7MiB live, 128.9MiB allocated
Compiler: Compiled 14 604 to 1 390 computations (90.5% saved)

prune81.0ms (0.8%)

Memory

-1.8MiB live, 113.8MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	651	15	666
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	654	21	675

Accuracy

100.0%

Counts

675 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
	17.4%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	1.7%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
▶	11.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	23.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
	23.5%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
✓	25.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
	53.2%	#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
▶	52.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x 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))) (.f64 x (.f64 x x)) x))
	52.1%	#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)) (fma.f64 (.f64 (.f64 x 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 (.f64 x x)) x))
	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x (*.f64 x x)) x))
	52.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.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))
	52.5%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.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))
	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x x))
▶	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x))
	51.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
▶	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
	51.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))
	51.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
	4.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))))
▶	2.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))

Compiler

Compiled 616 to 320 computations (48.1% saved)

simplify91.0ms (0.8%)

Memory

-1.8MiB live, 63.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1 246×	`lower-fma.f32`
1 234×	`lower-fma.f64`
1 162×	`lower-*.f32`
1 144×	`lower-*.f64`
752×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	343
0	66	308
1	121	296
2	192	296
3	284	296
4	426	296
5	661	296
6	1100	296
7	1207	296
8	1251	296
9	1254	296
10	1260	296
11	1308	296
12	1308	296
13	1308	296
14	1456	296
15	1516	296
0	1516	285

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

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

localize207.0ms (1.9%)

Memory

-22.7MiB live, 286.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	13.78376358310012	(+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
accuracy	29.403978410271343	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
accuracy	30.57556619602227	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
accuracy	0.11166000976844201	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.25390625	(*.f64 x #s(literal 3/40 binary64))
accuracy	20.310011079497777	(/.f64 (fma.f64 (.f64 (.f64 x 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)))
accuracy	29.92542738004218	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x 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))) (.f64 x (.f64 x x)) x))
accuracy	0.12890625	(.f64 x (.f64 x #s(literal 3/40 binary64)))
accuracy	0.25390625	(*.f64 x #s(literal 3/40 binary64))
accuracy	29.92542738004218	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
accuracy	32.25074455996857	#s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))
accuracy	0.109375	(.f64 x (.f64 x #s(literal -1/6 binary64)))
accuracy	0.3046875	(*.f64 x #s(literal -1/6 binary64))
accuracy	30.762095159503104	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
accuracy	31.527564046096725	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
accuracy	0.02734375	(fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x)
accuracy	0.078125	(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.1875	(.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))
accuracy	29.92542738004218	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x))

Samples

88.0ms	136×	1	valid
50.0ms	50×	2	valid
20.0ms	70×	0	valid

Compiler

Compiled 253 to 36 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 36.0ms (27.9% of total)

const: 24.0ms (18.6% of total)

ival-log: 21.0ms (16.3% of total)

ival-add: 18.0ms (14% of total)

adjust: 13.0ms (10.1% of total)

ival-hypot: 12.0ms (9.3% of total)

ival-div: 4.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x))>
#<alt (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x)>
#<alt (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))>
#<alt (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))>
#<alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))>
#<alt #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))>
#<alt (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))>
#<alt (.f64 x (.f64 x #s(literal -1/6 binary64)))>
#<alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))>
#<alt (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x)>
#<alt #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64))))>
#<alt (.f64 x (.f64 x #s(literal 3/40 binary64)))>
#<alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x 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))) (.f64 x (.f64 x x)) x))>
#<alt (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x 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))) (.f64 x (.f64 x x)) x)>
#<alt (/.f64 (fma.f64 (.f64 (.f64 x 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)))>
#<alt (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 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 (*.f64 x #s(literal -1/6 binary64))>
#<alt (*.f64 x #s(literal 3/40 binary64))>
#<alt (.f64 (.f64 x 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 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 (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (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 -1/6>
#<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 (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 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 -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 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 (* -1/6 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 (* 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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

66 calls:

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

simplify315.0ms (2.9%)

Memory

-10.5MiB live, 429.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 160×	`lower-fma.f64`
11 160×	`lower-fma.f32`
3 022×	`lower-*.f64`
3 022×	`lower-*.f32`
2 606×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	2323
1	444	2217
2	1213	2215
3	3787	2185
4	7727	2185
0	8324	2070

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

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

rewrite596.0ms (5.5%)

Memory

23.0MiB live, 540.7MiB allocated

Rules

8 554×	`lower-fma.f32`
8 542×	`lower-fma.f64`
4 262×	`lower-/.f32`
4 260×	`lower-/.f64`
4 116×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	301
0	66	247
1	255	235
2	1748	235
0	8193	226

Stop Event

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

Counts

22 → 642

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(+.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
(+.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x)
(fma.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) x)
(fma.f64 (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 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (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))) x)
(fma.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x x)))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 3/40 binary64) (*.f64 x x)))) x)
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 3/40 binary64) (*.f64 x x)))) x)
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/80 binary64))) x)
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x (.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))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (/.f64 (.f64 x (.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 x (.f64 (.f64 x (.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 (.f64 x x) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (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)) x)
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)))) (/.f64 (.f64 x (.f64 x x)) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.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)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)))) (/.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))) x)
(fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)))) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) x)
(fma.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)))) (/.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.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)))) x)
(fma.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)))) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64))) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) x)
(fma.f64 (/.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)))) (/.f64 x (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.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)))) x)
(fma.f64 (/.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)))) (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64))) x)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) x)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.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)))) x)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64))) 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 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))) x)
(fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) 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 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)
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(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) (log.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) (fma.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (.f64 x x))) (log.f64 (fma.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (.f64 x x))) (.f64 (log.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.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(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (.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))))) (log.f64 (.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))))) (fma.f64 (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) (.f64 (log.f64 (.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))))) (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)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x)) (/.f64 (.f64 x x) (-.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))) (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (-.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (*.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
(/.f64 (.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)))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.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))))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (.f64 x x)) (-.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) (.f64 (-.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64))) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))) (.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)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.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)))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))) (/.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (*.f64 x x))))
(.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))))
(.f64 (.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)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) x) (*.f64 x x)))))
(.f64 (neg.f64 (.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))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) x)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal 3/40 binary64))
(*.f64 #s(literal 3/40 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x x) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))

eval119.0ms (1.1%)

Memory: 0.7MiB live, 226.8MiB allocated
Compiler: Compiled 31 224 to 1 746 computations (94.4% saved)

prune216.0ms (2%)

Memory

-2.8MiB live, 194.0MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	901	9	910
Fresh	8	5	13
Picked	2	3	5
Done	0	3	3
Total	911	20	931

Accuracy

100.0%

Counts

931 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
	17.4%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	1.7%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
✓	11.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	23.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
	23.5%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
✓	25.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) x (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
	52.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 9/1600) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
▶	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x)))) x) x x))
▶	52.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 x x) x))
▶	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 (.f64 x #s(literal 3/40 binary64)) x #s(literal -1/6 binary64))) (*.f64 x x) x))
▶	51.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x)))) (*.f64 x x) x))
✓	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
	51.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
	2.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))
	2.9%	#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)))))
▶	2.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
✓	2.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))

Compiler

Compiled 479 to 244 computations (49.1% saved)

simplify358.0ms (3.3%)

Memory

12.0MiB live, 495.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

12 624×	`lower-fma.f32`
12 606×	`lower-fma.f64`
5 628×	`lower-*.f32`
5 604×	`lower-*.f64`
3 040×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	525
0	84	469
1	181	463
2	367	453
3	1163	453
4	3441	453
5	6840	453
0	8298	432

Stop Event

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

Calls

Call 1

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

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

localize380.0ms (3.5%)

Memory

-10.1MiB live, 494.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)))
accuracy	5.832750198606145	(fma.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
accuracy	23.664560978877958	(/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))
accuracy	29.92542738004218	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 x x) x))
accuracy	0.14453125	(.f64 #s(literal 3/40 binary64) (.f64 x x))
accuracy	0.1875	(.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x))))
accuracy	29.92542738004218	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x)))) x) x x))
accuracy	32.25074455996857	#s(approx (+ (* x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.078125	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
accuracy	30.762095159503104	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
accuracy	0.0703125	(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.203125	(.f64 (.f64 x x) #s(literal -1/6 binary64))
accuracy	30.762095159503104	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
accuracy	31.527564046096725	#s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.04296875	(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x #s(literal -1/6 binary64))
accuracy	0.1875	(.f64 x (fma.f64 (.f64 x #s(literal 3/40 binary64)) x #s(literal -1/6 binary64)))
accuracy	0.25390625	(*.f64 x #s(literal 3/40 binary64))
accuracy	29.92542738004218	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 (.f64 x #s(literal 3/40 binary64)) x #s(literal -1/6 binary64))) (*.f64 x x) x))

Samples

139.0ms	50×	2	valid
115.0ms	136×	1	valid
62.0ms	70×	0	valid

Compiler

Compiled 415 to 50 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-mult: 111.0ms (39.5% of total)

ival-add: 62.0ms (22.1% of total)

ival-log: 38.0ms (13.5% of total)

const: 30.0ms (10.7% of total)

adjust: 18.0ms (6.4% of total)

ival-hypot: 14.0ms (5% of total)

ival-div: 5.0ms (1.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory

-16.4MiB live, 23.3MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#<alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 (.f64 x #s(literal 3/40 binary64)) x #s(literal -1/6 binary64))) (*.f64 x x) x))>
#<alt (fma.f64 (.f64 x (fma.f64 (.f64 x #s(literal 3/40 binary64)) x #s(literal -1/6 binary64))) (*.f64 x x) x)>
#<alt (.f64 x (fma.f64 (.f64 x #s(literal 3/40 binary64)) x #s(literal -1/6 binary64)))>
#<alt (fma.f64 (*.f64 x #s(literal 3/40 binary64)) x #s(literal -1/6 binary64))>
#<alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))>
#<alt #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))>
#<alt (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal -1/6 binary64))>
#<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 (*.f64 x x)>
#<alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x)))) x) x x))>
#<alt (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x)))) x) x x)>
#<alt (.f64 (.f64 x #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x)))) x)>
#<alt (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x))))>
#<alt (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))>
#<alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 x x) x))>
#<alt (fma.f64 (.f64 x (fma.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 x x) x)>
#<alt (.f64 x (fma.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))))))>
#<alt (*.f64 x #s(literal 3/40 binary64))>
#<alt #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x)))>
#<alt (.f64 #s(literal 3/40 binary64) (.f64 x x))>
#<alt (/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))>
#<alt (fma.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (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 (* -1/6 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 (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (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 (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 (* (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 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (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 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 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 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 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 -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))>
#<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 (* 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 (* 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 (* -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 -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 (* 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)))>

Calls

78 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(+ (* (* x (+ (* (/ (* 9/1600 (* x (* x x))) (+ (* x (* (* x (* x x)) 9/1600)) -1/36)) (* x (+ (* 3/40 (* x x)) -1/6))) (neg (/ 1/36 (+ (* 3/40 (* x x)) 1/6))))) (* x x)) x)
2.0ms	x	@	0	(+ (* (* x (+ (* (/ (* 9/1600 (* x (* x x))) (+ (* x (* (* x (* x x)) 9/1600)) -1/36)) (* x (+ (* 3/40 (* x x)) -1/6))) (neg (/ 1/36 (+ (* 3/40 (* x x)) 1/6))))) (* x x)) x)
1.0ms	x	@	0	(* x (+ (* (/ (* 9/1600 (* x (* x x))) (+ (* x (* (* x (* x x)) 9/1600)) -1/36)) (* x (+ (* 3/40 (* x x)) -1/6))) (neg (/ 1/36 (+ (* 3/40 (* x x)) 1/6)))))
0.0ms	x	@	inf	(* x (+ (* (/ (* 9/1600 (* x (* x x))) (+ (* x (* (* x (* x x)) 9/1600)) -1/36)) (* x (+ (* 3/40 (* x x)) -1/6))) (neg (/ 1/36 (+ (* 3/40 (* x x)) 1/6)))))
0.0ms	x	@	-inf	(+ (* (* x (+ (* (/ (* 9/1600 (* x (* x x))) (+ (* x (* (* x (* x x)) 9/1600)) -1/36)) (* x (+ (* 3/40 (* x x)) -1/6))) (neg (/ 1/36 (+ (* 3/40 (* x x)) 1/6))))) (* x x)) x)

simplify463.0ms (4.3%)

Memory

14.9MiB live, 686.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 464×	`lower-fma.f64`
14 464×	`lower-fma.f32`
4 112×	`lower-+.f64`
4 112×	`lower-+.f32`
3 878×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	2782
1	432	2658
2	1144	2655
3	3454	2654
0	8446	2513

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 302

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
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(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* -81/400 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -81/400 binary64))))
(* (pow x 3) (- (* -6561/160000 (pow x 4)) 81/400))
(.f64 x (.f64 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 #s(literal 1 binary64) (+.f64 (/.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 #s(literal 1 binary64) (+.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 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 (/.f64 #s(literal 400/81 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.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)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 3/40 binary64))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 3/40 binary64))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))

rewrite492.0ms (4.6%)

Memory

-1.5MiB live, 709.0MiB allocated

Rules

4 742×	`lower-fma.f32`
4 724×	`lower-fma.f64`
4 574×	`lower-/.f32`
4 570×	`lower-/.f64`
4 534×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	448
0	84	400
1	350	385
2	2171	385
0	8384	365

Stop Event

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

Counts

26 → 711

Calls

Call 1

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

eval245.0ms (2.3%)

Memory: 28.3MiB live, 424.6MiB allocated
Compiler: Compiled 59 513 to 3 489 computations (94.1% saved)

prune350.0ms (3.2%)

Memory

-6.8MiB live, 311.4MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	1 222	7	1 229
Fresh	3	6	9
Picked	2	3	5
Done	1	5	6
Total	1 228	21	1 249

Accuracy

100.0%

Counts

1 249 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
	17.4%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	1.7%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
✓	11.8%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	23.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
	23.5%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(approx (+ -1/2 (/ 1/8 (* x x))) #s(literal -1/2 binary64)) x)))
✓	25.9%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 x (.f64 x #s(literal 3/40 binary64))) x (.f64 x #s(literal -1/6 binary64))) (.f64 x x) x))
	52.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 9/1600) -1/36) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)) x))
	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) x) x) x x))
	51.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) #s(approx ( x (+ (* 3/40 (* x x)) -1/6)) (.f64 x #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 x x) x))
✓	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 (.f64 x #s(literal 3/40 binary64)) x #s(literal -1/6 binary64))) (*.f64 x x) x))
✓	51.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x))
	53.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x #s(approx (+ ( x (* x 3/40)) -1/6) (.f64 #s(literal 3/40 binary64) (.f64 x x)))) (*.f64 x x) x))
	52.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 9/1600 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 9/1600 binary64))) #s(literal -1/36 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))) x))
	51.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))) x))
	4.6%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (* x (+ (* x (* x 3/40)) -1/6)) x) x) x) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
	2.9%	#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)))))
	2.9%	#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)))))
✓	2.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
✓	2.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))

Compiler

Compiled 940 to 292 computations (68.9% saved)

regimes48.0ms (0.4%)

Memory

15.9MiB live, 51.8MiB allocated

Counts

41 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
11.0ms	x
10.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
88.6%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
88.6%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-12.8MiB live, 26.2MiB allocated

Counts

39 → 3

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes30.0ms (0.3%)

Memory

-18.0MiB live, 63.2MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms	x
8.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
8.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
77.6%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
77.6%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
77.8%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory

16.0MiB live, 54.2MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.3%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
60.3%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
60.5%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

10.8MiB live, 48.0MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(+.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
53.2%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
53.2%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
53.2%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes44.0ms (0.4%)

Memory

-47.8MiB live, 19.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
5.0ms	x
4.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
53.2%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.9%	1	`x`
51.9%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
51.9%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

5 → 1

Calls

Call 1

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

Outputs
#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))))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
2.9%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
2.9%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
2.9%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch42.0ms (0.4%)

Memory

-24.8MiB live, 52.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.6583680850769682e-8	19069076478.72222
21.0ms	-435.0798984869249	-1.4812908126547505e-8

Samples

21.0ms

320×

valid

Compiler

Compiled 433 to 269 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-hypot: 10.0ms (65.2% of total)

ival-log: 4.0ms (26.1% of total)

ival-add: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.6583680850769682e-8	19069076478.72222
4.0ms	-435.0798984869249	-1.4812908126547505e-8

Samples

2.0ms

32×

valid

Compiler

Compiled 373 to 229 computations (38.6% saved)

Precisions

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

ival-hypot: 1.0ms (89.6% 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)

bsearch5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	2.6583680850769682e-8	19069076478.72222

Samples

2.0ms

48×

valid

Compiler

Compiled 243 to 139 computations (42.8% saved)

Precisions

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

ival-log: 1.0ms (62.6% of total)

ival-hypot: 1.0ms (62.6% 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

5.4MiB live, 5.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.6583680850769682e-8	19069076478.72222

Samples

2.0ms

32×

valid

Compiler

Compiled 243 to 139 computations (42.8% saved)

Precisions

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

ival-hypot: 1.0ms (91.7% 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)

simplify7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	286
1	80	286

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 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 5/4 binary64)) #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -5674535530486825/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) x)) (log.f64 #s(approx (+ x (sqrt (+ ( x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))

Outputs
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 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 5/4 binary64)) #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 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 5/4 binary64)) #s(approx (log (+ x (sqrt (+ ( x x) 1)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(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 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -5674535530486825/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) x)) (log.f64 #s(approx (+ x (sqrt (+ ( x x) 1))) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))

soundness772.0ms (7.1%)

Memory

-0.8MiB live, 556.5MiB allocated

Rules

15 970×	`lower-fma.f64`
15 970×	`lower-fma.f32`
11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
6 200×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	214
0	54	206
1	194	206
2	1394	206
0	8245	191
0	160	2216
1	433	2122
2	1164	2103
3	3595	2021
0	8446	1930
0	125	525
1	353	517
2	931	509
3	2909	479
4	7021	479
0	8073	448

Stop Event

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

Compiler

Compiled 358 to 166 computations (53.6% saved)

preprocess99.0ms (0.9%)

Memory: -18.7MiB live, 136.7MiB allocated
Compiler: Compiled 376 to 132 computations (64.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze71.0ms (0.7%)

sample2.4s (22.1%)

explain230.0ms (2.1%)

preprocess48.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize75.0ms (0.7%)

series5.0ms (0%)

simplify965.0ms (8.9%)

rewrite333.0ms (3.1%)

eval77.0ms (0.7%)

prune54.0ms (0.5%)

simplify390.0ms (3.6%)

localize244.0ms (2.3%)

series13.0ms (0.1%)

simplify443.0ms (4.1%)

rewrite302.0ms (2.8%)

eval77.0ms (0.7%)

prune81.0ms (0.8%)

simplify91.0ms (0.8%)

localize207.0ms (1.9%)

series8.0ms (0.1%)

simplify315.0ms (2.9%)

rewrite596.0ms (5.5%)

eval119.0ms (1.1%)

prune216.0ms (2%)

simplify358.0ms (3.3%)

localize380.0ms (3.5%)

series16.0ms (0.1%)

simplify463.0ms (4.3%)

rewrite492.0ms (4.6%)

eval245.0ms (2.3%)

prune350.0ms (3.2%)

regimes48.0ms (0.4%)

regimes24.0ms (0.2%)

regimes30.0ms (0.3%)

regimes25.0ms (0.2%)

regimes27.0ms (0.3%)

regimes44.0ms (0.4%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch42.0ms (0.4%)

bsearch5.0ms (0%)

bsearch5.0ms (0.1%)

bsearch4.0ms (0%)

simplify7.0ms (0.1%)

soundness772.0ms (7.1%)

preprocess99.0ms (0.9%)

end0.0ms (0%)

Profiling