Metrics for Rust f64::asinh

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample651.0ms (6.4%)

Memory

23.4MiB live, 578.3MiB allocated

Samples

261.0ms

8 256×

valid

Precisions

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

ival-asinh: 135.0ms (94.5% of total)

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

ival-assert: 3.0ms (2.1% of total)

Bogosity

preprocess41.0ms (0.4%)

Memory

-16.3MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`sub-neg`
8×	`lower-+.f32`
8×	`+-commutative`
4×	`lift-+.f64`
4×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	12
0	16	12
1	20	12
0	20	11

Stop Event

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

Calls

Call 1

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

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

explain232.0ms (2.3%)

Memory

1.1MiB live, 396.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
55	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(fabs.f64 x)`
0	-	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	132	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	55	0
↳	`(*.f64 x x)`	overflow	55
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	55

Confusion

	Predicted +	Predicted -
+	187	0
-	0	69

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	187	0	0
-	0	0	69

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	69
1	187

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms	112×	2	valid
47.0ms	258×	0	valid
31.0ms	142×	1	valid

Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-log: 38.0ms (34.4% of total)

ival-hypot: 28.0ms (25.4% of total)

ival-mult: 18.0ms (16.3% of total)

ival-copysign: 7.0ms (6.3% of total)

adjust: 7.0ms (6.3% of total)

ival-add: 7.0ms (6.3% of total)

ival-fabs: 5.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
✓	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	9	49
0	16	49
1	20	49
0	20	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize72.0ms (0.7%)

Memory

-15.5MiB live, 144.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	80.0%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	52.6%	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

24.0ms	56×	2	valid
17.0ms	129×	0	valid
17.0ms	71×	1	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-log: 18.0ms (38% of total)

ival-copysign: 9.0ms (19% of total)

ival-hypot: 9.0ms (19% of total)

adjust: 3.0ms (6.3% of total)

ival-add: 3.0ms (6.3% of total)

ival-fabs: 2.0ms (4.2% of total)

ival-mult: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (+.f64 (*.f64 x x) #s(literal 1 binary64))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))>
#<alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))>
#<alt (fabs.f64 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 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>

Calls

18 calls:

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

simplify995.0ms (9.8%)

Memory

-5.0MiB live, 828.6MiB allocated

Algorithm

1×	egg-herbie

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
4 994×	`lower-*.f64`
4 994×	`lower-*.f32`
4 040×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	782
1	490	754
2	1511	741
3	5413	691
0	8421	635

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

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))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)

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))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (fabs.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) (fabs.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 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)))))
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

rewrite360.0ms (3.5%)

Memory

-4.4MiB live, 552.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 872×	`lower-fma.f64`
5 872×	`lower-fma.f32`
3 070×	`lower-*.f32`
3 068×	`lower-*.f64`
2 316×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	16	44
1	51	44
2	324	44
3	3419	44
0	8352	39

Stop Event

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

Counts

6 → 279

Calls

Call 1

Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(fabs.f64 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 (fabs.f64 x) (sqrt.f64 (fma.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (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))))
(hypot.f64 (*.f64 (neg.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 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #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 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (.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)) (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)))))
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 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)) (fma.f64 x (.f64 x (*.f64 x x)) #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 (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 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (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 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (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))) (.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 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x 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 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64))))
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(*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 x (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(.f64 (/.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (fma.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x x))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log1p.f64 (.f64 x x)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fabs.f64 x)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 x)
(fabs.f64 (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(pow.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))

eval66.0ms (0.6%)

Memory: 32.9MiB live, 104.8MiB allocated
Compiler: Compiled 10 321 to 1 598 computations (84.5% saved)

prune77.0ms (0.8%)

Memory

-17.8MiB live, 158.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	337	12	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	338	12	350

Accuracy

100.0%

Counts

350 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
	31.8%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
▶	9.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
▶	26.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
	25.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
	19.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
▶	26.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	26.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
	54.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
	53.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))) x)
▶	65.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
▶	8.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 324 to 190 computations (41.4% saved)

simplify46.0ms (0.5%)

Memory

-33.8MiB live, 89.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	(fabs.f64 x)
✓	cost-diff	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	cost-diff	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
✓	cost-diff	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
✓	cost-diff	(fabs.f64 x)
✓	cost-diff	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
✓	cost-diff	(-.f64 (fabs.f64 x) x)
✓	cost-diff	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
✓	cost-diff	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
✓	cost-diff	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	cost-diff	(log.f64 x)
✓	cost-diff	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
✓	cost-diff	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
✓	cost-diff	(fabs.f64 x)
✓	cost-diff	(log1p.f64 (fabs.f64 x))
✓	cost-diff	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
✓	cost-diff	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

Rules

576×	`lower-fma.f32`
574×	`lower-fma.f64`
328×	`lower-*.f32`
326×	`lower-*.f64`
200×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	272
0	53	272
1	67	272
2	73	272
3	83	272
4	99	272
5	151	272
6	213	272
7	292	272
8	429	272
9	595	272
10	683	272
11	749	272
12	790	272
13	802	272
0	802	257

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(fabs.f64 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)

localize97.0ms (1%)

Memory

26.9MiB live, 183.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	accuracy	99.7%	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
✓	accuracy	75.2%	#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.7%	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	accuracy	77.5%	#s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (fabs.f64 x) x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	99.7%	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
✓	accuracy	75.6%	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
✓	accuracy	100.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	82.6%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
✓	accuracy	100.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	83.1%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))

Samples

33.0ms	129×	0	invalid
13.0ms	63×	1	exit
10.0ms	64×	0	valid

Compiler

Compiled 196 to 19 computations (90.3% saved)

Precisions

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

ival-div: 14.0ms (34.4% of total)

ival-log: 6.0ms (14.8% of total)

ival-hypot: 4.0ms (9.8% of total)

ival-mult: 3.0ms (7.4% of total)

ival-sub: 3.0ms (7.4% of total)

adjust: 2.0ms (4.9% of total)

ival-copysign: 2.0ms (4.9% of total)

ival-add: 2.0ms (4.9% of total)

ival-fabs: 2.0ms (4.9% of total)

ival-log1p: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series212.0ms (2.1%)

Memory

-34.1MiB live, 214.9MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)>
#<alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))>
#<alt (log1p.f64 (fabs.f64 x))>
#<alt (fabs.f64 x)>
#<alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)>
#<alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))>
#<alt (log.f64 x)>
#<alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)>
#<alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))>
#<alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))>
#<alt (-.f64 (fabs.f64 x) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))>
#<alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))>
#<alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))>
#<alt #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<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)>

Outputs
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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>
#<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))))))>

Calls

60 calls:

Time	Variable		Point	Expression
46.0ms	x	@	inf	(log x)
43.0ms	x	@	inf	(log (+ 1 (fabs x)))
33.0ms	x	@	0	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
30.0ms	x	@	-inf	(log (+ 1 (fabs x)))
27.0ms	x	@	0	(log (+ 1 (fabs x)))

simplify614.0ms (6%)

Memory

45.3MiB live, 909.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24 442×	`lower-fma.f64`
24 442×	`lower-fma.f32`
4 894×	`lower-*.f64`
4 894×	`lower-*.f32`
4 062×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	3179
1	500	3018
2	1525	2964
3	5325	2715
0	8451	2499

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fabs x)
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
1
(+ 1 (* 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))))))

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f64 (log.f64 x) (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fabs.f64 x)) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f64 (log.f64 x) (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fabs.f64 x)) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
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(* -1 (log (/ -1 x)))
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(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 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)))))
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 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)))))
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)

rewrite365.0ms (3.6%)

Memory

1.2MiB live, 698.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 790×	`lower-fma.f32`
5 788×	`lower-fma.f64`
4 362×	`lower-/.f32`
4 360×	`lower-/.f64`
3 852×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	246
0	53	246
1	159	246
2	1108	234
0	8513	219

Stop Event

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

Counts

20 → 195

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 (fabs.f64 x))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))) (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 (.f64 x x))) (fma.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x))) (.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 (fabs.f64 x)))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x)))) (.f64 (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))) (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))))) (+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))
(/.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 (.f64 x x)))) (.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x))))) (+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 (fabs.f64 x)))))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(fabs.f64 (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 x (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fabs.f64 x)) (.f64 x x)))))
(+.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 x (.f64 x x)))) (neg.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fabs.f64 x)) (.f64 x x)))))
(+.f64 (log.f64 (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(+.f64 (log.f64 (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(-.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 x (.f64 x x)))) (log.f64 (fma.f64 #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fabs.f64 x)) (.f64 x x))))
(-.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 x (.f64 x x)))) (log.f64 (fma.f64 #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 x (.f64 x x))))) (log.f64 (neg.f64 (fma.f64 #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fabs.f64 x)) (.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
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(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (fma.f64 x x (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))))
(.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x))))))
(.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64))))))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))

eval62.0ms (0.6%)

Memory: 11.4MiB live, 165.6MiB allocated
Compiler: Compiled 12 273 to 1 121 computations (90.9% saved)

prune37.0ms (0.4%)

Memory

23.6MiB live, 101.7MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	478	3	481
Fresh	1	6	7
Picked	0	5	5
Done	0	0	0
Total	479	14	493

Accuracy

100.0%

Counts

493 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.8%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
	31.8%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	9.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
✓	26.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
▶	25.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
▶	19.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	26.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	26.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
▶	2.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
▶	54.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
	53.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))) x)
	19.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
✓	65.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	8.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 311 to 185 computations (40.5% saved)

simplify155.0ms (1.5%)

Memory

-18.3MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
✓	cost-diff	256	(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
✓	cost-diff	576	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
✓	cost-diff	704	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
✓	cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
✓	cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
✓	cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
✓	cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
✓	cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)

Rules

78×	`lower-*.f32`
76×	`lower-*.f64`
58×	`lower-fma.f32`
54×	`lower-fma.f64`
36×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	318
0	67	307
1	87	305
2	111	303
3	128	303
4	152	303
5	178	303
6	185	303
7	188	303
8	190	303
9	191	303
0	191	303

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
(log1p.f64 (fabs.f64 x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
#s(literal 1 binary64)
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
(log1p.f64 (fabs.f64 x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
#s(literal 1 binary64)
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))

localize303.0ms (3%)

Memory

-42.4MiB live, 311.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
✓	accuracy	80.0%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	52.7%	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
✓	accuracy	52.6%	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
✓	accuracy	25.6%	#s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
✓	accuracy	54.0%	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
✓	accuracy	52.6%	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
✓	accuracy	52.6%	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
✓	accuracy	2.7%	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	79.9%	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
✓	accuracy	54.2%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))

Samples

116.0ms	55×	2	valid
38.0ms	72×	1	valid
34.0ms	129×	0	valid

Compiler

Compiled 280 to 25 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-log: 100.0ms (61.8% of total)

ival-hypot: 18.0ms (11.1% of total)

ival-div: 10.0ms (6.2% of total)

ival-add: 10.0ms (6.2% of total)

adjust: 7.0ms (4.3% of total)

ival-copysign: 6.0ms (3.7% of total)

ival-mult: 3.0ms (1.9% of total)

ival-log1p: 3.0ms (1.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)>
#<alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))>
#<alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))>
#<alt (*.f64 x x)>
#<alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)>
#<alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))>
#<alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))>
#<alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))>
#<alt (fabs.f64 x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))>
#<alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))>
#<alt (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))>
#<alt (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))>
#<alt (copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))>
#<alt #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 x (/.f64 #s(literal 1/2 binary64) x))>
#<alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))>
#<alt (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))>

Outputs
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (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 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
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#<alt x>
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#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (/ 1 x)>
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#<alt (/ -1 x)>
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#<alt (* -1 (log (/ -1 x)))>
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#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
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#<alt (/ 1/2 (+ 1 (fabs x)))>
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#<alt 1>
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#<alt x>
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#<alt (* -1 x)>
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#<alt 1>
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#<alt x>
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#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
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#<alt (* -1 x)>
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#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
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#<alt (/ 1/2 x)>
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#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt x>
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#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
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#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1>
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#<alt x>
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#<alt (/ 1 x)>
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#<alt (/ -1 x)>
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#<alt x>
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#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))
1.0ms	x	@	inf	(log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))
1.0ms	x	@	inf	(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
1.0ms	x	@	-inf	(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
1.0ms	x	@	0	(/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1)

simplify530.0ms (5.2%)

Memory

-0.8MiB live, 635.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 466×	`lower-fma.f64`
15 466×	`lower-fma.f32`
5 106×	`lower-+.f64`
5 106×	`lower-+.f32`
4 384×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	4761
1	1081	4526
2	3629	4333
0	8532	4030

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 291

Calls

Call 1

Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
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(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 45 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 30 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x)) x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 45 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 30 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x)) x))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (fabs.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f64 x (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f64 x (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (/.f64 (.f64 x (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))) x) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
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(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/ 1 (+ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (neg.f64 (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 (.f64 (fabs.f64 x) (+.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) x)) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 x) x) (-.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 x x #s(literal -1/2 binary64))) x) (fabs.f64 x)) x)) (neg.f64 x))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (fabs.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f64 x (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f64 x (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (/.f64 (.f64 x (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))) x) x)

rewrite498.0ms (4.9%)

Memory

1.0MiB live, 437.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 862×	`lower-fma.f32`
7 858×	`lower-fma.f64`
3 626×	`lower-/.f32`
3 618×	`lower-/.f64`
3 584×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	287
0	67	276
1	200	272
2	1294	272
0	8438	272

Stop Event

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

Counts

25 → 491

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(*.f64 x x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (.f64 x x)))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (*.f64 x x)))))
(fma.f64 x (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x x)) (log1p.f64 (fabs.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (*.f64 x x) #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) x (log1p.f64 (fabs.f64 x)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 x #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (fabs.f64 x) #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (neg.f64 x) #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (log1p.f64 (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (.f64 x x))) (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (.f64 x x))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (log1p.f64 (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (.f64 x x))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (log1p.f64 (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x (neg.f64 x)) (log1p.f64 (fabs.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))) (.f64 (-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)))) (.f64 (-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x))) (-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (.f64 x x))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x (neg.f64 x)) (log1p.f64 (fabs.f64 x)))))
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(neg.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fabs.f64 x))))) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal -1 binary64))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fabs.f64 x))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fabs.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal -1 binary64))
(.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
(.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fabs.f64 x)))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(*.f64 (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 1 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal -1/2 binary64)))

eval213.0ms (2.1%)

Memory: 9.6MiB live, 197.4MiB allocated
Compiler: Compiled 21 798 to 2 842 computations (87% saved)

prune111.0ms (1.1%)

Memory

-12.0MiB live, 231.1MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	847	3	850
Fresh	1	3	4
Picked	2	3	5
Done	0	5	5
Total	850	14	864

Accuracy

100.0%

Counts

864 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
▶	19.0%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
▶	31.8%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	9.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
✓	26.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
✓	25.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
✓	19.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	26.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
▶	26.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
✓	54.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
▶	53.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))) x)
✓	65.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	8.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
▶	6.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)

Compiler

Compiled 286 to 169 computations (40.9% saved)

simplify677.0ms (6.7%)

Memory

-1.0MiB live, 842.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
✓	cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
✓	cost-diff	256	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
✓	cost-diff	0	(+.f64 x (fabs.f64 x))
✓	cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))
✓	cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x))))
✓	cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
✓	cost-diff	0	(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
✓	cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
✓	cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
✓	cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))))
✓	cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))) x)
✓	cost-diff	320	(fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
✓	cost-diff	1024	(.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))

Rules

24 440×	`lower-fma.f32`
24 434×	`lower-fma.f64`
3 092×	`lower-*.f32`
3 084×	`lower-*.f64`
1 942×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	523
0	85	520
1	137	516
2	260	516
3	736	491
4	1907	491
5	2880	491
6	5064	491
7	6198	491
8	7405	491
9	7405	491
10	7405	491
0	8114	483

Stop Event

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

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))))
(fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))
x
(.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
#s(literal -1/24 binary64)
(.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 x x)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(log1p.f64 (fabs.f64 x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
#s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))
(+.f64 x (fabs.f64 x))
x
(fabs.f64 x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fabs.f64 x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x))))
(fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))
x
(.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 x (fma.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(literal -1/24 binary64)
(.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 x x)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs.f64 x)
#s(literal 1 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(log1p.f64 (fabs.f64 x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
#s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
#s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs.f64 x)
#s(literal 1 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))
(+.f64 x (fabs.f64 x))
x
(fabs.f64 x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fabs.f64 x)

localize443.0ms (4.4%)

Memory

-3.4MiB live, 562.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
✓	accuracy	84.4%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	76.2%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	accuracy	76.3%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
✓	accuracy	62.8%	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	76.2%	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x))))
✓	accuracy	59.8%	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	84.3%	(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	accuracy	73.7%	#s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
✓	accuracy	63.0%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
✓	accuracy	99.9%	(.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
✓	accuracy	99.8%	(fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
✓	accuracy	84.4%	(/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	accuracy	61.3%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))))

Samples

51.0ms	37×	2	valid
38.0ms	88×	0	valid
38.0ms	88×	1	exit
30.0ms	38×	1	valid
5.0ms	5×	3	valid

Compiler

Compiled 397 to 40 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-log: 36.0ms (28.1% of total)

adjust: 18.0ms (14.1% of total)

ival-mult: 18.0ms (14.1% of total)

ival-div: 14.0ms (10.9% of total)

ival-add: 14.0ms (10.9% of total)

ival-hypot: 8.0ms (6.2% of total)

ival-copysign: 7.0ms (5.5% of total)

const: 4.0ms (3.1% of total)

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

ival-log1p: 3.0ms (2.3% of total)

ival-fabs: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-2.4MiB live, 35.6MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))>
#<alt (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))>
#<alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))) x)>
#<alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))))>
#<alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)>
#<alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))>
#<alt #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))>
#<alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)>
#<alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x))))>
#<alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))>
#<alt (+.f64 x (fabs.f64 x))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))>
#<alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))>
#<alt (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))>
#<alt (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)>
#<alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))>
#<alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))>
#<alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))>
#<alt (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))>
#<alt (.f64 (.f64 x x) #s(literal 1/2 binary64))>
#<alt (fabs.f64 x)>
#<alt #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))>
#<alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))>

Outputs
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))>
#<alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))>
#<alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))>
#<alt (* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))>
#<alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))>
#<alt (* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))>
#<alt (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))>
#<alt (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (fabs x)>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (log (/ 1 (+ 1 (fabs x))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (log (/ 1 x))>
#<alt (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (/ (fabs x) x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (/ (fabs x) x) (log (/ 1 x)))>
#<alt (- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))>
#<alt (- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (* -1 (log (/ -1 x)))>
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#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
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#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (/ 1 x)>
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#<alt (/ -1 x)>
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#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
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#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
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#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
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#<alt (* -1 (log (/ -1 x)))>
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#<alt (+ 1 (fabs x))>
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#<alt x>
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#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
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#<alt (* -1 x)>
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#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
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#<alt x>
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#<alt (* -1 x)>
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#<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) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))>
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))>
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))>
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))>
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))>
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))>
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#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt 1>
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#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
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#<alt x>
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#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
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#<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 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (* x x) (+ (fabs x) 1))
2.0ms	x	@	-inf	(* x (+ (* -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1))))
2.0ms	x	@	0	(* x (+ (* -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1))))
1.0ms	x	@	inf	(* x (+ (* -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1))))
1.0ms	x	@	0	(* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))

simplify435.0ms (4.3%)

Memory

7.8MiB live, 754.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 206×	`lower-fma.f64`
16 206×	`lower-fma.f32`
5 050×	`lower-+.f64`
5 050×	`lower-+.f32`
4 808×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	5144
1	1184	4895
2	3982	4734
0	8330	4422

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 305

Calls

Call 1

Inputs
(* 1/2 (/ x (+ 1 (fabs x))))
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))
(* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
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Outputs
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(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f64 (fabs.f64 x) (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 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f64 x (.f64 x (-.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f64 x (/.f64 (fabs.f64 x) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f64 x (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f64 x (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x) (neg.f64 x))

rewrite519.0ms (5.1%)

Memory

5.8MiB live, 558.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 310×	`lower-/.f32`
4 300×	`lower-/.f64`
4 214×	`lower-*.f32`
4 206×	`lower-*.f64`
3 860×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	429
0	85	426
1	298	422
2	2286	422
0	8393	419

Stop Event

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

Counts

26 → 779

Calls

Call 1

Inputs
(.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
#s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))
(+.f64 x (fabs.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))))
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(fabs.f64 x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))

Outputs
(+.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(+.f64 (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (.f64 #s(literal -1/24 binary64) x) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (.f64 x #s(literal -1/24 binary64)) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 (.f64 x (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) #s(literal -1/24 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) #s(literal 3 binary64)) #s(literal -1/13824 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 8 binary64)))) (fma.f64 (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 (.f64 x (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))))))
(/.f64 (.f64 x (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
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(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.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 x (.f64 x x))) (/.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)) (fabs.f64 x)) (*.f64 x x))))
(.f64 (-.f64 (.f64 x x) (.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 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (fma.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 x (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.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)) (fabs.f64 x)) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.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)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (.f64 x (.f64 x x)))) #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)) (fabs.f64 x)) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ ( x x) 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))

eval203.0ms (2%)

Memory: 36.1MiB live, 455.6MiB allocated
Compiler: Compiled 46 151 to 5 017 computations (89.1% saved)

prune283.0ms (2.8%)

Memory

-12.3MiB live, 297.9MiB allocated

Pruning

18 alts after pruning (6 fresh and 12 done)

	Pruned	Kept	Total
New	1 212	5	1 217
Fresh	0	1	1
Picked	1	4	5
Done	0	8	8
Total	1 213	18	1 231

Accuracy

100.0%

Counts

1 231 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
✓	19.0%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
✓	31.8%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	9.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
✓	26.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
✓	25.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
✓	19.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	26.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	26.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
✓	54.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
	53.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1))) (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (log1p.f64 (fabs.f64 x)))) x)
✓	65.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	8.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
✓	6.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
	6.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) x)
	5.3%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
	6.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
	6.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)

Compiler

Compiled 613 to 262 computations (57.3% saved)

regimes17.0ms (0.2%)

Memory

1.3MiB live, 37.5MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1))) (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))) x)

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (*.f64 x #s(approx (+ (* -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1))) (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (log1p.f64 (fabs.f64 x)))) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	3	`x`
99.7%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-2.2MiB live, 34.3MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory

-7.0MiB live, 30.3MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

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

Calls

2 calls:

13.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
6.0ms	x

Results

Accuracy	Segments	Branch
98.7%	3	`x`
98.7%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

-17.2MiB live, 28.3MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

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

Calls

2 calls:

12.0ms	x
4.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.6%	3	`x`
98.6%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))))) x)

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-17.4MiB live, 20.3MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)

Calls

2 calls:

5.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
3.0ms	x

Results

Accuracy	Segments	Branch
81.9%	2	`x`
81.9%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
65.8%	1	`x`
65.8%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-15.9MiB live, 22.0MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
12.6%	2	`x`
12.6%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.4%	1	`x`
6.4%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-24.7MiB live, 8.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

6.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
1.0ms	x

Results

Accuracy	Segments	Branch
6.2%	1	`x`
6.2%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6189808917883785e-8	3.919283910416606
0.0ms	-9.107787252505206	-0.0008715798623689895

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6189808917883785e-8	3.919283910416606
0.0ms	-9.107787252505206	-0.0008715798623689895

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6189808917883785e-8	3.919283910416606
0.0ms	-9.107787252505206	-0.0008715798623689895

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6189808917883785e-8	3.919283910416606
0.0ms	-9.107787252505206	-0.0008715798623689895

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6189808917883785e-8	3.919283910416606
0.0ms	-9.107787252505206	-0.0008715798623689895

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6189808917883785e-8	3.919283910416606

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6189808917883785e-8	3.919283910416606

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify12.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
10×	`*-commutative_binary64`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	685
1	119	685
2	124	685
3	126	685
4	127	685

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 x (.f64 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1))) (fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 x (.f64 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1))) (fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 x (.f64 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1))) (fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)

soundness1.6s (15.2%)

Memory

-31.6MiB live, 903.8MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
24 442×	`lower-fma.f64`
24 442×	`lower-fma.f32`
16 206×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	5144
1	1184	4895
2	3982	4734
0	8330	4422
0	177	3179
1	500	3018
2	1525	2964
3	5325	2715
0	8451	2499
0	352	4761
1	1081	4526
2	3629	4333
0	8532	4030
0	50	429
0	85	426
1	298	422
2	2286	422
0	8393	419
0	169	782
1	490	754
2	1511	741
3	5413	691
0	8421	635

Stop Event

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

Compiler

Compiled 661 to 216 computations (67.3% saved)

preprocess159.0ms (1.6%)

Memory: 15.9MiB live, 128.1MiB allocated
Compiler: Compiled 916 to 164 computations (82.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	33	272
0	53	272
1	67	272
2	73	272
3	83	272
4	99	272
5	151	272
6	213	272
7	292	272
8	429	272
9	595	272
10	683	272
11	749	272
12	790	272
13	802	272
0	802	257

Iter	Nodes	Cost
0	39	318
0	67	307
1	87	305
2	111	303
3	128	303
4	152	303
5	178	303
6	185	303
7	188	303
8	190	303
9	191	303
0	191	303

Iter	Nodes	Cost
0	33	272
0	53	272
1	67	272
2	73	272
3	83	272
4	99	272
5	151	272
6	213	272
7	292	272
8	429	272
9	595	272
10	683	272
11	749	272
12	790	272
13	802	272
0	802	257

Iter	Nodes	Cost
0	39	318
0	67	307
1	87	305
2	111	303
3	128	303
4	152	303
5	178	303
6	185	303
7	188	303
8	190	303
9	191	303
0	191	303

analyze0.0ms (0%)

sample651.0ms (6.4%)

preprocess41.0ms (0.4%)

explain232.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize72.0ms (0.7%)

series5.0ms (0.1%)

simplify995.0ms (9.8%)

rewrite360.0ms (3.5%)

eval66.0ms (0.6%)

prune77.0ms (0.8%)

simplify46.0ms (0.5%)

localize97.0ms (1%)

series212.0ms (2.1%)

simplify614.0ms (6%)

rewrite365.0ms (3.6%)

eval62.0ms (0.6%)

prune37.0ms (0.4%)

simplify155.0ms (1.5%)

localize303.0ms (3%)

series16.0ms (0.2%)

simplify530.0ms (5.2%)

rewrite498.0ms (4.9%)

eval213.0ms (2.1%)

prune111.0ms (1.1%)

simplify677.0ms (6.7%)

localize443.0ms (4.4%)

series17.0ms (0.2%)

simplify435.0ms (4.3%)

rewrite519.0ms (5.1%)

eval203.0ms (2%)

prune283.0ms (2.8%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes20.0ms (0.2%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.6s (15.2%)

preprocess159.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	33	272
0	53	272
1	67	272
2	73	272
3	83	272
4	99	272
5	151	272
6	213	272
7	292	272
8	429	272
9	595	272
10	683	272
11	749	272
12	790	272
13	802	272
0	802	257

Iter	Nodes	Cost
0	39	318
0	67	307
1	87	305
2	111	303
3	128	303
4	152	303
5	178	303
6	185	303
7	188	303
8	190	303
9	191	303
0	191	303