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)

sample389.0ms (3.9%)

Memory

14.6MiB live, 551.4MiB allocated

Samples

213.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-asinh: 81.0ms (89.8% of total)

ival-true: 6.0ms (6.6% of total)

ival-assert: 3.0ms (3.3% of total)

Bogosity

preprocess13.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB 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)

explain266.0ms (2.7%)

Memory

-28.0MiB live, 306.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
126	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
61	-	-	`(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	126	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	61	0
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	61

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	94×	2	valid
33.0ms	148×	1	valid
29.0ms	270×	0	valid

Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions

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

ival-log: 57.0ms (55.2% of total)

ival-hypot: 19.0ms (18.4% of total)

ival-copysign: 7.0ms (6.8% of total)

adjust: 6.0ms (5.8% of total)

ival-add: 6.0ms (5.8% of total)

ival-mult: 4.0ms (3.9% of total)

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.5%	(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

8.7MiB live, 8.7MiB 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)

localize312.0ms (3.2%)

Memory

5.3MiB live, 123.0MiB 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	77.8%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	54.6%	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

267.0ms	47×	2	valid
16.0ms	74×	1	valid
13.0ms	135×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-log: 255.0ms (89.5% of total)

ival-copysign: 10.0ms (3.5% of total)

ival-hypot: 9.0ms (3.2% of total)

adjust: 3.0ms (1.1% of total)

ival-add: 3.0ms (1.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

-26.0MiB live, 11.9MiB 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
25.0ms	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)

simplify814.0ms (8.3%)

Memory

16.7MiB live, 812.3MiB 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)

rewrite361.0ms (3.7%)

Memory

-6.1MiB live, 471.4MiB 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))

eval53.0ms (0.5%)

Memory: 6.4MiB live, 121.7MiB allocated
Compiler: Compiled 10 321 to 1 598 computations (84.5% saved)

prune80.0ms (0.8%)

Memory

-26.3MiB live, 108.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	339	10	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	340	10	350

Accuracy

100.0%

Counts

350 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.5%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
	25.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
▶	29.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	26.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
▶	9.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)
	51.8%	(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)
	51.2%	(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)
▶	64.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
▶	8.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 264 to 152 computations (42.4% saved)

simplify38.0ms (0.4%)

Memory

37.2MiB live, 37.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

592×	`lower-fma.f32`
588×	`lower-fma.f64`
264×	`lower-*.f32`
262×	`lower-*.f64`
176×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	236
0	50	236
1	66	236
2	76	236
3	82	236
4	91	236
5	128	236
6	160	236
7	207	236
8	331	236
9	480	236
10	637	236
11	678	236
12	698	236
13	715	236
14	721	236
0	721	236

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

localize115.0ms (1.2%)

Memory

-12.8MiB live, 211.4MiB allocated

Localize:

Found 19 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	99.7%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
✓	accuracy	90.2%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	99.7%	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))
✓	accuracy	77.9%	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))
✓	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	76.0%	#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	82.8%	#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	83.3%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))

Samples

31.0ms	134×	0	invalid
16.0ms	59×	1	exit
12.0ms	63×	0	valid

Compiler

Compiled 198 to 22 computations (88.9% saved)

Precisions

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

ival-log: 9.0ms (22.2% of total)

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

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

ival-mult: 5.0ms (12.3% of total)

ival-copysign: 4.0ms (9.9% of total)

ival-fabs: 4.0ms (9.9% of total)

adjust: 3.0ms (7.4% of total)

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

ival-sub: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series165.0ms (1.7%)

Memory

28.1MiB live, 264.4MiB 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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)>
#<alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))>
#<alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))>
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))>
#<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 x #s(literal 1/2 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)))>
#<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 (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>

Calls

60 calls:

Time	Variable		Point	Expression
59.0ms	x	@	inf	(log (+ 1 (fabs x)))
31.0ms	x	@	0	(log (+ 1 (fabs x)))
29.0ms	x	@	inf	(log x)
14.0ms	x	@	0	(log x)
14.0ms	x	@	-inf	(log (+ 1 (fabs x)))

simplify724.0ms (7.3%)

Memory

-20.4MiB live, 982.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24 844×	`lower-fma.f64`
24 844×	`lower-fma.f32`
5 070×	`lower-*.f64`
5 070×	`lower-*.f32`
4 224×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	3134
1	506	2973
2	1551	2885
3	5383	2707
0	8522	2485

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 236

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)))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (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)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)

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)
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(+.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 (+.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) 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 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) 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 (+.f64 x (/.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 (-.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))))) (neg.f64 x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))

rewrite349.0ms (3.5%)

Memory

-4.2MiB live, 508.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 022×	`lower-fma.f32`
5 018×	`lower-fma.f64`
4 152×	`lower-/.f64`
4 152×	`lower-/.f32`
4 144×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	211
0	50	211
1	140	211
2	975	199
0	8363	199

Stop Event

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

Counts

20 → 232

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

eval67.0ms (0.7%)

Memory: 21.9MiB live, 178.6MiB allocated
Compiler: Compiled 12 039 to 1 276 computations (89.4% saved)

prune47.0ms (0.5%)

Memory

14.7MiB live, 134.1MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	514	5	519
Fresh	3	2	5
Picked	0	5	5
Done	0	0	0
Total	517	12	529

Accuracy

100.0%

Counts

529 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.5%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
	25.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
▶	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
▶	26.1%	(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 x (fabs.f64 x)))) x)
✓	29.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	9.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)
▶	8.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
▶	2.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
▶	51.8%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x)
	51.2%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x)
✓	64.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	8.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 250 to 143 computations (42.8% saved)

simplify10.0ms (0.1%)

Memory

-17.2MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

44×	`lower-+.f32`
42×	`lower-fma.f32`
42×	`lower-*.f32`
40×	`lower-fma.f64`
38×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	333
0	63	333
1	82	333
2	94	333
3	101	333
4	107	333
0	107	314

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize155.0ms (1.6%)

Memory

17.6MiB live, 222.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	77.4%	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	75.2%	#s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f64 x (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	52.8%	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
✓	accuracy	77.4%	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
✓	accuracy	51.8%	#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	77.4%	(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 x (fabs.f64 x))))
✓	accuracy	49.5%	#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 x (fabs.f64 x)))
✓	accuracy	100.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
✓	accuracy	77.4%	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
✓	accuracy	26.2%	#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 (fabs.f64 x) #s(literal 1 binary64)))
✓	accuracy	77.7%	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
✓	accuracy	52.0%	#s(approx (log (+ (sqrt (+ (* x x) 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))))

Samples

46.0ms	24×	2	valid
27.0ms	135×	0	valid
18.0ms	35×	1	valid
17.0ms	62×	1	exit

Compiler

Compiled 226 to 25 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-log: 42.0ms (48% of total)

ival-add: 9.0ms (10.3% of total)

adjust: 8.0ms (9.1% of total)

ival-hypot: 8.0ms (9.1% of total)

ival-mult: 6.0ms (6.9% of total)

ival-copysign: 5.0ms (5.7% of total)

ival-div: 4.0ms (4.6% of total)

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

ival-log1p: 3.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

-15.3MiB live, 20.3MiB allocated

Counts

22 → 264

Calls

Call 1

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

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x))))
1.0ms	x	@	inf	(+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x))))
1.0ms	x	@	-inf	(+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x))))
0.0ms	x	@	-inf	(/ 1/2 (+ (fabs x) 1))
0.0ms	x	@	inf	(/ 1/2 (+ (fabs x) 1))

simplify466.0ms (4.7%)

Memory

-1.9MiB live, 653.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 070×	`lower-fma.f64`
13 070×	`lower-fma.f32`
5 374×	`lower-*.f64`
5 374×	`lower-*.f32`
2 340×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	3409
1	516	3273
2	1592	3191
3	5519	3017
0	8203	2778

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 257

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))))
(* (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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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)))))
(fabs x)
(+ x (fabs x))
(+ x (fabs x))
(+ x (fabs x))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(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)
(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)))
(+ 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 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)

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)
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(+.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 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 2 binary64)) #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 (*.f64 x 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 (.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (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)))
(+.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)))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) 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) (/.f64 #s(literal -1/2 binary64) x)) 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 (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) (* 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) (* 1/2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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)))
(/ 1/2 (+ 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 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 (+.f64 x (/.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)))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))

rewrite468.0ms (4.8%)

Memory

20.1MiB live, 560.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 092×	`lower-fma.f32`
7 090×	`lower-fma.f64`
4 298×	`lower-/.f32`
4 296×	`lower-/.f64`
3 620×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	307
0	63	298
1	195	298
2	1444	295
0	8666	276

Stop Event

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

Counts

22 → 172

Calls

Call 1

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

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

eval80.0ms (0.8%)

Memory: -6.9MiB live, 164.1MiB allocated
Compiler: Compiled 9 335 to 814 computations (91.3% saved)

prune40.0ms (0.4%)

Memory

-22.8MiB live, 97.3MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	477	3	480
Fresh	1	1	2
Picked	1	4	5
Done	0	5	5
Total	479	13	492

Accuracy

100.0%

Counts

492 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.5%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
▶	25.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
✓	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	26.1%	(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 x (fabs.f64 x)))) x)
✓	29.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	9.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)
✓	8.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
▶	51.2%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (.f64 x 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)
✓	51.8%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x)
▶	51.7%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)
▶	5.9%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
✓	64.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	8.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 179 to 102 computations (43% saved)

simplify753.0ms (7.6%)

Memory

14.9MiB live, 1 122.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (.f64 x 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (.f64 x 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	(fma.f64 (.f64 x 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	(/.f64 #s(literal 1 binary64) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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	(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
✓	cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
✓	cost-diff	0	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)

Rules

40 106×	`lower-fma.f32`
40 100×	`lower-fma.f64`
4 942×	`lower-+.f32`
4 932×	`lower-+.f64`
3 576×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	530
0	81	515
1	132	515
2	253	515
3	743	499
4	2001	499
5	3157	499
6	5325	499
7	6456	499
8	6481	499
9	6489	499
10	6489	499
0	8769	482

Stop Event

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

Calls

Call 1

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

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

localize391.0ms (4%)

Memory

8.8MiB live, 640.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	54.6%	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
✓	accuracy	25.2%	#s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	99.7%	(.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	99.6%	(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	77.8%	(/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	accuracy	49.7%	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (.f64 x 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))))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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	77.7%	(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	52.0%	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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	100.0%	(fabs.f64 x)
✓	accuracy	77.8%	(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	accuracy	53.1%	#s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
✓	accuracy	52.0%	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))

Samples

101.0ms	59×	2	valid
89.0ms	87×	1	valid
37.0ms	98×	0	valid
14.0ms	12×	3	valid

Compiler

Compiled 363 to 40 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

adjust: 49.0ms (27.3% of total)

ival-log: 37.0ms (20.6% of total)

ival-div: 22.0ms (12.2% of total)

ival-add: 22.0ms (12.2% of total)

ival-mult: 20.0ms (11.1% of total)

ival-hypot: 11.0ms (6.1% of total)

const: 7.0ms (3.9% of total)

ival-copysign: 7.0ms (3.9% of total)

ival-log1p: 3.0ms (1.7% of total)

ival-fabs: 1.0ms (0.6% 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

10.3MiB live, 48.7MiB allocated

Counts

22 → 264

Calls

Call 1

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

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 (* 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 (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 (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 (log (+ 1 (fabs x))))>
#<alt (+ (* -1/2 (/ (pow x 2) (* (pow (log (+ 1 (fabs x))) 2) (+ 1 (fabs x))))) (/ 1 (log (+ 1 (fabs x)))))>
#<alt (+ (* (pow x 2) (- (* 1/4 (/ (pow x 2) (* (pow (log (+ 1 (fabs x))) 3) (pow (+ 1 (fabs x)) 2)))) (* 1/2 (/ 1 (* (pow (log (+ 1 (fabs x))) 2) (+ 1 (fabs x))))))) (/ 1 (log (+ 1 (fabs x)))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (* (pow (log (+ 1 (fabs x))) 4) (pow (+ 1 (fabs x)) 3)))) (* 1/4 (/ 1 (* (pow (log (+ 1 (fabs x))) 3) (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (* (pow (log (+ 1 (fabs x))) 2) (+ 1 (fabs x))))))) (/ 1 (log (+ 1 (fabs x)))))>
#<alt (* 2 (/ (+ 1 (fabs x)) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (* (log (+ 1 (fabs x))) (pow (+ 1 (fabs x)) 2)) (pow x 2))) (* 2 (+ 1 (fabs x)))) (pow x 2))>
#<alt (/ (- (+ (* 2 (+ 1 (fabs x))) (* 8 (/ (* (pow (log (+ 1 (fabs x))) 2) (pow (+ 1 (fabs x)) 3)) (pow x 4)))) (* 4 (/ (* (log (+ 1 (fabs x))) (pow (+ 1 (fabs x)) 2)) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -16 (/ (* (pow (log (+ 1 (fabs x))) 3) (pow (+ 1 (fabs x)) 4)) (pow x 6))) (* 2 (+ 1 (fabs x)))) (+ (* -8 (/ (* (pow (log (+ 1 (fabs x))) 2) (pow (+ 1 (fabs x)) 3)) (pow x 4))) (* 4 (/ (* (log (+ 1 (fabs x))) (pow (+ 1 (fabs x)) 2)) (pow x 2))))) (pow x 2))>
#<alt (* 2 (/ (+ 1 (fabs x)) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (* (log (+ 1 (fabs x))) (pow (+ 1 (fabs x)) 2)) (pow x 2))) (* 2 (+ 1 (fabs x)))) (pow x 2))>
#<alt (/ (- (+ (* 2 (+ 1 (fabs x))) (* 8 (/ (* (pow (log (+ 1 (fabs x))) 2) (pow (+ 1 (fabs x)) 3)) (pow x 4)))) (* 4 (/ (* (log (+ 1 (fabs x))) (pow (+ 1 (fabs x)) 2)) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -16 (/ (* (pow (log (+ 1 (fabs x))) 3) (pow (+ 1 (fabs x)) 4)) (pow x 6))) (* 2 (+ 1 (fabs x)))) (+ (* -8 (/ (* (pow (log (+ 1 (fabs x))) 2) (pow (+ 1 (fabs x)) 3)) (pow x 4))) (* 4 (/ (* (log (+ 1 (fabs x))) (pow (+ 1 (fabs x)) 2)) (pow x 2))))) (pow x 2))>
#<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 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -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 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<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 (+ 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 (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 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 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) (+ 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)))>
#<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)))>
#<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 (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>

Calls

66 calls:

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

simplify586.0ms (6%)

Memory

12.4MiB live, 657.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 570×	`lower-fma.f64`
9 570×	`lower-fma.f32`
5 150×	`lower-*.f64`
5 150×	`lower-*.f32`
3 574×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	4286
1	746	4144
2	2395	4132
3	7336	4130
0	8061	3792

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 260

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

rewrite479.0ms (4.9%)

Memory

-27.2MiB live, 648.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 634×	`lower-/.f32`
4 620×	`lower-/.f64`
4 524×	`lower-*.f32`
4 516×	`lower-*.f64`
3 774×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	456
0	81	441
1	308	441
2	2292	441
0	8862	431

Stop Event

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

Counts

22 → 834

Calls

Call 1

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

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

eval468.0ms (4.7%)

Memory: 17.3MiB live, 240.3MiB allocated
Compiler: Compiled 51 676 to 4 339 computations (91.6% saved)

prune244.0ms (2.5%)

Memory

17.4MiB live, 220.3MiB allocated

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	1 218	9	1 227
Fresh	0	0	0
Picked	1	3	4
Done	0	9	9
Total	1 219	21	1 240

Accuracy

100.0%

Counts

1 240 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.5%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	25.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
✓	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	26.1%	(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 x (fabs.f64 x)))) x)
✓	29.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	9.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)
✓	8.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
✓	51.8%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x)
✓	51.7%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)
	6.1%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))) (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x))))) x)
	29.1%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (/ 1 (/ 1 (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))))) (.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)))))) x)
	6.1%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (/ 1 (/ 1 (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))))) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
✓	5.9%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
	6.1%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x)
	5.0%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) x)
	5.1%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x x)))) x)
	3.5%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (+ (* -1/24 (* (/ (* x x) (+ (fabs x) 1)) (+ 3 (/ 3 (+ (fabs x) 1))))) (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.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 x (fma.f64 x (fabs.f64 x) x))))))) x)
✓	64.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	8.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 782 to 302 computations (61.4% saved)

regimes49.0ms (0.5%)

Memory

-29.9MiB live, 24.5MiB allocated

Counts

28 → 3

Calls

Call 1

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

39.0ms	x
8.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) 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

17.1MiB live, 17.1MiB allocated

Counts

25 → 3

Calls

Call 1

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

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

regimes33.0ms (0.3%)

Memory

-15.0MiB live, 23.3MiB allocated

Counts

21 → 3

Calls

Call 1

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

25.0ms	x
6.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.9%	3	`x`
98.9%	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)

regimes45.0ms (0.5%)

Memory

-7.6MiB live, 30.6MiB allocated

Counts

18 → 3

Calls

Call 1

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

Calls

2 calls:

38.0ms	x
5.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.8%	3	`x`
98.8%	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

24.2MiB live, 24.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

4.0ms	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
80.4%	2	`x`
80.4%	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)

regimes29.0ms (0.3%)

Memory

-18.9MiB live, 19.6MiB allocated

Counts

12 → 1

Calls

Call 1

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

24.0ms	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
64.4%	1	`x`
64.4%	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)

regimes9.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	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
12.2%	2	`x`
12.2%	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)

regimes30.0ms (0.3%)

Memory

-20.6MiB live, 19.5MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

26.0ms	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
6.1%	1	`x`
6.1%	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)

regimes3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

1.0ms	(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
5.9%	1	`x`
5.9%	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

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8289762583490109	12.775103833438301
0.0ms	-25.85625586204951	-7.385326680801586e-6

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	3.909188039832492e-6	0.8289762583490109
0.0ms	-25.85625586204951	-7.385326680801586e-6

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.909188039832492e-6	0.8289762583490109
0.0ms	-25.85625586204951	-7.385326680801586e-6

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	0.8289762583490109	12.775103833438301
0.0ms	-25.85625586204951	-7.385326680801586e-6

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	0.8289762583490109	12.775103833438301

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	0.8289762583490109	12.775103833438301

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify11.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
12×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	576
1	101	576
2	105	576
3	107	576
4	108	576

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 -20 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 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 #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 (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 -20 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 5902958103587057/1180591620717411303424 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 -20 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 5902958103587057/1180591620717411303424 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 -20 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 1 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 1 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 1 binary64)) (copysign.f64 #s(approx (log (+ (sqrt (+ ( x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x)
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.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 -20 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 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 #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 (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 -20 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 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) (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 -20 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 5902958103587057/1180591620717411303424 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 -20 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 5902958103587057/1180591620717411303424 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 -20 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 5902958103587057/1180591620717411303424 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 -20 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 1 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 1 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 1 binary64)) (copysign.f64 #s(approx (log (+ (sqrt (+ ( x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) 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 1 binary64)) (copysign.f64 #s(approx (log (+ (sqrt (+ ( x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x)
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)

soundness1.5s (15.3%)

Memory

-11.0MiB live, 993.3MiB allocated

Rules

24 844×	`lower-fma.f64`
24 844×	`lower-fma.f32`
24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
13 070×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	456
0	81	441
1	308	441
2	2292	441
0	8862	431
0	9	44
0	16	44
1	51	44
2	324	44
3	3419	44
0	8352	39
0	178	3134
1	506	2973
2	1551	2885
3	5383	2707
0	8522	2485
0	180	3409
1	516	3273
2	1592	3191
3	5519	3017
0	8203	2778
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 691 to 254 computations (63.2% saved)

preprocess112.0ms (1.1%)

Memory: -8.0MiB live, 234.6MiB allocated
Compiler: Compiled 782 to 156 computations (80.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	31	236
0	50	236
1	66	236
2	76	236
3	82	236
4	91	236
5	128	236
6	160	236
7	207	236
8	331	236
9	480	236
10	637	236
11	678	236
12	698	236
13	715	236
14	721	236
0	721	236

Iter	Nodes	Cost
0	31	236
0	50	236
1	66	236
2	76	236
3	82	236
4	91	236
5	128	236
6	160	236
7	207	236
8	331	236
9	480	236
10	637	236
11	678	236
12	698	236
13	715	236
14	721	236
0	721	236

analyze0.0ms (0%)

sample389.0ms (3.9%)

preprocess13.0ms (0.1%)

explain266.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize312.0ms (3.2%)

series29.0ms (0.3%)

simplify814.0ms (8.3%)

rewrite361.0ms (3.7%)

eval53.0ms (0.5%)

prune80.0ms (0.8%)

simplify38.0ms (0.4%)

localize115.0ms (1.2%)

series165.0ms (1.7%)

simplify724.0ms (7.3%)

rewrite349.0ms (3.5%)

eval67.0ms (0.7%)

prune47.0ms (0.5%)

simplify10.0ms (0.1%)

localize155.0ms (1.6%)

series12.0ms (0.1%)

simplify466.0ms (4.7%)

rewrite468.0ms (4.8%)

eval80.0ms (0.8%)

prune40.0ms (0.4%)

simplify753.0ms (7.6%)

localize391.0ms (4%)

series17.0ms (0.2%)

simplify586.0ms (6%)

rewrite479.0ms (4.9%)

eval468.0ms (4.7%)

prune244.0ms (2.5%)

regimes49.0ms (0.5%)

regimes16.0ms (0.2%)

regimes33.0ms (0.3%)

regimes45.0ms (0.5%)

regimes10.0ms (0.1%)

regimes29.0ms (0.3%)

regimes9.0ms (0.1%)

regimes30.0ms (0.3%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.5s (15.3%)

preprocess112.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	31	236
0	50	236
1	66	236
2	76	236
3	82	236
4	91	236
5	128	236
6	160	236
7	207	236
8	331	236
9	480	236
10	637	236
11	678	236
12	698	236
13	715	236
14	721	236
0	721	236