Metrics for Rust f64::asinh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

sample622.0ms (12.2%)

Memory

15.8MiB live, 926.7MiB allocated; 198ms collecting garbage

Samples

408.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-asinh: 109.0ms (89.9% of total)

ival-true: 6.0ms (4.9% of total)

ival-assert: 3.0ms (2.5% of total)

adjust: 2.0ms (1.6% of total)

Bogosity

explain267.0ms (5.2%)

Memory

7.7MiB live, 400.3MiB allocated; 44ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	130	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	55	0
↳	`(*.f64 x x)`	overflow	55
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	55
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	oflow-rescue	1	0
↳	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	overflow	1
↳	`(*.f64 x x)`	overflow	55
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	55

Confusion

	Predicted +	Predicted -
+	185	0
-	0	71

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	185	0	0
-	0	0	71

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	71
1	184
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms	98×	2	valid
41.0ms	158×	1	valid
38.0ms	256×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-log: 72.0ms (57% of total)

ival-hypot: 20.0ms (15.8% of total)

adjust: 11.0ms (8.7% of total)

ival-copysign: 8.0ms (6.3% of total)

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

ival-mult: 5.0ms (4% of total)

ival-fabs: 3.0ms (2.4% of total)

ival-true: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

preprocess218.0ms (4.3%)

Memory

-31.8MiB live, 154.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	9	12
0	16	12
1	24	12
2	45	12
3	85	12
4	144	12
5	351	12
6	2401	12
7	5914	12
0	8153	11

Stop Event

1×	iter limit
1×	node limit
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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify183.0ms (3.6%)

Memory

30.5MiB live, 136.0MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	1	(+.f64 (*.f64 x x) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	49
1	24	49
2	45	49
3	85	49
4	144	49
5	351	49
6	2401	49
7	5914	49
0	8153	44

Stop Event

1×	iter limit
1×	node limit
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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(fabs.f64 x)
x
(sqrt.f64 (+.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)

localize110.0ms (2.2%)

Memory

-5.4MiB live, 79.1MiB allocated; 22ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.01171875	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	12.762454284963866	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	30.2219719974362	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

50.0ms	79×	1	valid
39.0ms	49×	2	valid
12.0ms	128×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

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

ival-log: 63.0ms (69.8% of total)

ival-hypot: 10.0ms (11.1% of total)

adjust: 5.0ms (5.5% of total)

ival-copysign: 4.0ms (4.4% of total)

ival-add: 4.0ms (4.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

6 → 39

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
1.0ms	x	@	-inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
1.0ms	x	@	inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

Time

Variable

Point

Expression

2.0ms

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

1.0ms

-inf

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

1.0ms

inf

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

simplify174.0ms (3.4%)

Memory

-39.6MiB live, 389.4MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	586
1	568	548
2	2395	527
0	8393	487

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

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

rewrite65.0ms (1.3%)

Memory

32.6MiB live, 134.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	16	32
1	56	24
0	406	23

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 75

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 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (fabs.f64 (cosh.f64 (asinh.f64 x))) (fabs.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x)))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (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 (neg.f64 x) (neg.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 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(asinh.f64 (fabs.f64 x))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (*.f64 x x)))
(fma.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)) (fabs.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (cosh.f64 (asinh.f64 x)))
(fma.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)) (cosh.f64 (asinh.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cosh.f64 (asinh.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(+.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (.f64 x x))))
(+.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x))
(+.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))
(*.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)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 (fabs.f64 x))
(fabs.f64 x)

eval36.0ms (0.7%)

Memory: -15.7MiB live, 65.6MiB allocated; 24ms collecting garbage
Compiler: Compiled 2 162 to 611 computations (71.7% saved)

prune4.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	5	113

Accuracy

100.0%

Counts

113 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))) x)
▶	24.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))) x)
▶	28.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x))) x)
▶	99.9%	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
▶	8.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 154 to 108 computations (29.9% saved)

simplify161.0ms (3.2%)

Memory

13.5MiB live, 205.0MiB allocated; 41ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x)))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x))) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x)))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))) x)
cost-diff	3	(fma.f64 (/.f64 (fabs.f64 x) x) x x)
cost-diff	0	(log.f64 x)
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(asinh.f64 (fabs.f64 x))
cost-diff	0	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	259
0	49	259
1	65	259
2	97	255
3	164	247
4	366	247
5	2172	247
0	8375	234

Stop Event

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

Calls

Call 1

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

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

localize199.0ms (3.9%)

Memory

-18.5MiB live, 229.6MiB allocated; 133ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x)
accuracy	0.0	(fabs.f64 x)
accuracy	12.475894713213844	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x)))
accuracy	27.249458789702476	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x))
accuracy	0.00390625	(+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
accuracy	6.283434590679516	(sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	12.475894713213844	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
accuracy	13.175646908619433	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	0.0	(/.f64 (fabs.f64 x) x)
accuracy	0.0	(fabs.f64 x)
accuracy	12.475894713213844	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x)))
accuracy	13.030921559599737	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))
accuracy	0.0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
accuracy	0.0	(log.f64 x)
accuracy	23.18985149923933	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
accuracy	0.0	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
accuracy	0.0	(fabs.f64 x)
accuracy	0.02734375	(asinh.f64 (fabs.f64 x))

Samples

57.0ms	144×	0	invalid
21.0ms	25×	2	valid
10.0ms	29×	1	valid
9.0ms	58×	0	valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-fabs: 19.0ms (25.4% of total)

ival-log: 15.0ms (20% of total)

ival-asinh: 11.0ms (14.7% of total)

ival-hypot: 7.0ms (9.3% of total)

adjust: 6.0ms (8% of total)

ival-copysign: 5.0ms (6.7% of total)

ival-mult: 5.0ms (6.7% of total)

ival-add: 4.0ms (5.3% of total)

ival-div: 2.0ms (2.7% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series192.0ms (3.8%)

Memory

12.9MiB live, 298.9MiB allocated; 29ms collecting garbage

Counts

20 → 48

Calls

Call 1

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

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))
(fabs 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)))))))
(log x)
(+ x (fabs 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))))))
(+ (fabs x) (* -1 x))
(/ (fabs x) x)
1
(+ 1 (pow x 2))
(+ 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)))))
(* -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))))
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)
(* x (- (/ (fabs x) x) 1))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* 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 (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) (* -1 (log (/ -1 x))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -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 (* 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)))))

Calls

3 calls:

Time	Variable		Point	Expression
67.0ms	x	@	inf	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)))
64.0ms	x	@	-inf	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)))
60.0ms	x	@	0	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)))

Time

Variable

Point

Expression

67.0ms

inf

((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)))

64.0ms

-inf

((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)))

60.0ms

((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)))

simplify184.0ms (3.6%)

Memory

20.2MiB live, 191.1MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	646
1	595	606
2	2437	586
0	8448	543

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))
(fabs 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)))))))
(log x)
(+ x (fabs 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))))))
(+ (fabs x) (* -1 x))
(/ (fabs x) x)
1
(+ 1 (pow x 2))
(+ 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)))))
(* -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))))
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)
(* x (- (/ (fabs x) x) 1))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* 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 (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) (* -1 (log (/ -1 x))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -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 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

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

rewrite58.0ms (1.1%)

Memory

-8.0MiB live, 37.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	234
0	49	202
1	135	202
0	856	197

Stop Event

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

Counts

20 → 86

Calls

Call 1

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

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

eval104.0ms (2%)

Memory: 13.7MiB live, 62.7MiB allocated; 46ms collecting garbage
Compiler: Compiled 4 105 to 804 computations (80.4% saved)

prune18.0ms (0.4%)

Memory

-32.8MiB live, 13.0MiB allocated; 21ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	171	5	176

Accuracy

100.0%

Counts

176 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x)))) x)
▶	28.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (fabs.f64 x) x)))) x)
▶	56.0%	(copysign.f64 (asinh.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) x)
✓	99.9%	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
✓	8.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 82 to 53 computations (35.4% saved)

simplify833.0ms (16.3%)

Memory

-30.2MiB live, 146.7MiB allocated; 1.1s collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x)))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x))))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x)))) x)
cost-diff	3	(+.f64 (fabs.f64 x) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (fabs.f64 x) x)))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (fabs.f64 x) x))))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (fabs.f64 x) x)))) x)
cost-diff	1	(-.f64 (fabs.f64 x) x)
cost-diff	0	(sqrt.f64 (neg.f64 x))
cost-diff	0	(asinh.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
cost-diff	0	(copysign.f64 (asinh.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) x)
cost-diff	5	(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	217
0	41	202
1	62	202
2	116	190
3	312	151
4	601	128
5	4500	128
0	8490	122

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (2.9%)

Memory

-24.9MiB live, 166.0MiB allocated; 25ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.0	#s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x))
accuracy	17.746077284222352	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x))))
accuracy	35.01597155155874	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x)))
accuracy	0.0	(fabs.f64 x)
accuracy	0.0	#s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (fabs.f64 x) x))
accuracy	17.746077284222352	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (fabs.f64 x) x))))
accuracy	18.346450455454534	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (fabs.f64 x) x)))
accuracy	0.0	(sqrt.f64 (neg.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	0.03515625	(asinh.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
accuracy	0.30078125	(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))

Samples

33.0ms	50×	1	valid
24.0ms	112×	0	invalid
17.0ms	24×	2	valid
12.0ms	70×	0	valid

Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 17.0ms (23.9% of total)

ival-copysign: 12.0ms (16.8% of total)

ival-log: 12.0ms (16.8% of total)

ival-hypot: 7.0ms (9.8% of total)

ival-asinh: 5.0ms (7% of total)

ival-add: 4.0ms (5.6% of total)

ival-sqrt: 3.0ms (4.2% of total)

adjust: 2.0ms (2.8% of total)

ival-div: 2.0ms (2.8% of total)

ival-sub: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

ival-fabs: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-29.6MiB live, 22.6MiB allocated; 15ms collecting garbage

Counts

16 → 46

Calls

Call 1

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

Outputs
(* x (pow (sqrt -1) 2))
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)
(* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))
(* (sqrt x) (sqrt -1))
(fabs x)
(+ (fabs x) (* -1 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 (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 (fabs x))
(* -1 x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))
(* x (- (/ (fabs x) x) 1))
(* -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))))
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)))))
(copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ 1 (* -1 (/ (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 (* 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 (* x (- (* -1 (/ (fabs x) x)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

inf

((* (sqrt (neg x)) (sqrt (neg x))) (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (sqrt (neg x)) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (* (- (/ (fabs x) x) 1) x) (fabs x) (+ (* (/ (fabs x) x) x) x))

3.0ms

((* (sqrt (neg x)) (sqrt (neg x))) (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (sqrt (neg x)) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (* (- (/ (fabs x) x) 1) x) (fabs x) (+ (* (/ (fabs x) x) x) x))

2.0ms

-inf

((* (sqrt (neg x)) (sqrt (neg x))) (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (sqrt (neg x)) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (* (- (/ (fabs x) x) 1) x) (fabs x) (+ (* (/ (fabs x) x) x) x))

simplify162.0ms (3.2%)

Memory

15.8MiB live, 252.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	792
1	803	673
2	3563	634
0	8218	591

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

Inputs
(* x (pow (sqrt -1) 2))
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)
(* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))
(* (sqrt x) (sqrt -1))
(fabs x)
(+ (fabs x) (* -1 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 (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 (fabs x))
(* -1 x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))
(* x (- (/ (fabs x) x) 1))
(* -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))))
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)))))
(copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ 1 (* -1 (/ (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 (* 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 (* x (- (* -1 (/ (fabs x) x)) 1)))

Outputs
(* x (pow (sqrt -1) 2))
(neg.f64 x)
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
(* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))
(*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal -1/6 binary64)) x #s(literal 0 binary64)) x #s(literal -1 binary64)) x)
(* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal -1/6 binary64) (.f64 #s(literal 0 binary64) x)) x #s(literal 0 binary64)) x #s(literal -1 binary64)) x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) 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 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #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)))) (*.f64 x 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 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ x (fabs x))
(+.f64 (fabs.f64 x) x)
(* -1 x)
(neg.f64 x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 x)) (log.f64 #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* x (- (/ (fabs x) x) 1))
(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1/2 binary64) (fabs.f64 x)) x) (log.f64 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 (/.f64 (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1/2 binary64) (fabs.f64 x)) x) (log.f64 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 (/.f64 (fabs.f64 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) x) #s(literal -1/6 binary64))) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) x (neg.f64 x))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f64 (/.f64 (fabs.f64 x) x) x x)

rewrite54.0ms (1.1%)

Memory

9.9MiB live, 56.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	212
0	41	179
1	145	168
0	927	164

Stop Event

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

Counts

16 → 92

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64)))
(copysign.f64 (asinh.f64 (neg.f64 x)) x)
(asinh.f64 (neg.f64 x))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (neg.f64 x) (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 x)) (*.f64 x x))))
(log.f64 (-.f64 (cosh.f64 (asinh.f64 x)) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (neg.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 (neg.f64 x))))
(fabs.f64 (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (neg.f64 x) x))
(.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x x (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x x)))
(/.f64 #s(literal 0 binary64) (-.f64 x x))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (neg.f64 x) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (neg.f64 x) x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (neg.f64 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 x x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 x x (*.f64 x x)))))
(/.f64 #s(literal 0 binary64) (-.f64 x (neg.f64 x)))
(/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (neg.f64 x) x)))
(/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 x x))))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 (neg.f64 x) x)) (/.f64 (.f64 x x) (-.f64 (neg.f64 x) x)))
(-.f64 x x)
(+.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x x (.f64 x x)))))
(+.f64 (neg.f64 x) x)
(+.f64 x (neg.f64 x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x))

eval59.0ms (1.1%)

Memory: -14.6MiB live, 32.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 762 to 600 computations (78.3% saved)

prune4.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	121	6	127

Accuracy

100.0%

Counts

127 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x)))) x)
✓	28.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (fabs.f64 x) x)))) x)
✓	56.0%	(copysign.f64 (asinh.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) x)
✓	99.9%	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
✓	8.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
▶	53.3%	(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)) x)

Compiler

Compiled 99 to 64 computations (35.4% saved)

simplify157.0ms (3.1%)

Memory

-6.4MiB live, 129.4MiB allocated; 28ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x))
cost-diff	0	(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)) x)
cost-diff	1	(*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)
cost-diff	3	(fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	15	23
1	27	20
2	52	20
3	140	20
4	1971	20
0	8437	20

Stop Event

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

Calls

Call 1

Inputs
(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)) x)
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64))
#s(literal 0 binary64)
x
#s(literal -1 binary64)

Outputs
(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)) x)
(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f64 x)) x)
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f64 x))
(*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)
(neg.f64 x)
(fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 0 binary64)
x
#s(literal -1 binary64)

localize30.0ms (0.6%)

Memory

0.4MiB live, 45.3MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64))
accuracy	0.0	(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)) x)
accuracy	0.0	(*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)
accuracy	16.254082707100675	#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x))

Samples

11.0ms	144×	0	valid
8.0ms	112×	0	invalid

Compiler

Compiled 35 to 13 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (32.8% of total)

ival-copysign: 2.0ms (16.4% of total)

ival-asinh: 2.0ms (16.4% of total)

ival-sqrt: 2.0ms (16.4% of total)

ival-add: 1.0ms (8.2% of total)

ival-neg: 1.0ms (8.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

4 → 16

Calls

Call 1

Inputs
(fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)
(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)) x)
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x))

Outputs
-1
(* -1 x)
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)
(* x (pow (sqrt -1) 2))
(* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))
(copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((+ (* 0 x) -1) (* (+ (* 0 x) -1) x) (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (asinh (* (sqrt (neg x)) (sqrt (neg x)))))

1.0ms

((+ (* 0 x) -1) (* (+ (* 0 x) -1) x) (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (asinh (* (sqrt (neg x)) (sqrt (neg x)))))

0.0ms

-inf

((+ (* 0 x) -1) (* (+ (* 0 x) -1) x) (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (asinh (* (sqrt (neg x)) (sqrt (neg x)))))

simplify175.0ms (3.4%)

Memory

8.0MiB live, 164.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	287
1	326	221
2	1346	192
0	9107	188

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
-1
(* -1 x)
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)
(* x (pow (sqrt -1) 2))
(* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))
(copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))

Outputs
-1
#s(literal -1 binary64)
(* -1 x)
(neg.f64 x)
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
(* x (pow (sqrt -1) 2))
(neg.f64 x)
(* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))
(neg.f64 x)
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))
(.f64 (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) x) x #s(literal -1 binary64)) x)
(* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))
(.f64 (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) x) x #s(literal -1 binary64)) x)
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 x)) (log.f64 #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))
(copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))

rewrite45.0ms (0.9%)

Memory

14.5MiB live, 60.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	15	20
1	62	17
0	226	17

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 26

Calls

Call 1

Inputs
(fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)
(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)) x)
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x))

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

eval23.0ms (0.5%)

Memory: -24.4MiB live, 29.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 739 to 168 computations (77.3% saved)

prune5.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	37	7	44

Accuracy

100.0%

Counts

44 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x)))) x)
✓	28.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f64 (fabs.f64 x) x)))) x)
✓	56.0%	(copysign.f64 (asinh.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) x)
✓	99.9%	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
✓	8.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
	30.6%	(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) x)
	53.3%	(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f64 x)) x)

Compiler

Compiled 312 to 141 computations (54.8% saved)

regimes12.0ms (0.2%)

Memory

-14.8MiB live, 25.9MiB allocated; 10ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)

Calls

2 calls:

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

Results

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
59.2%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
59.2%	2	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes11.0ms (0.2%)

Memory

-28.3MiB live, 13.7MiB allocated; 9ms collecting garbage

Accuracy

Total -14.5b remaining (-48.6%)

Threshold costs -14.5b (-48.6%)

Counts

3 → 1

Calls

Call 1

Inputs

(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f64 x)) x)

(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)) x)) x)

(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) x)

Outputs
(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f64 x)) x)

Calls

2 calls:

9.0ms	(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
53.3%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
53.3%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch19.0ms (0.4%)

Memory

40.8MiB live, 40.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.8350711551552757e-5	10032249611355.639

Samples

11.0ms

160×

valid

Compiler

Compiled 295 to 221 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-hypot: 3.0ms (41.2% of total)

ival-log: 2.0ms (27.5% of total)

ival-copysign: 1.0ms (13.7% of total)

ival-add: 1.0ms (13.7% of total)

ival-fabs: 1.0ms (13.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify130.0ms (2.5%)

Memory

-32.3MiB live, 66.0MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	40
1	42	40
2	92	40
3	215	39
4	283	39
5	520	39
6	2800	39
7	7456	39

Stop Event

1×	node limit

Calls

Call 1

Inputs

(copysign.f64 (asinh.f64 (fabs.f64 x)) x)

(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f64 x)) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))

(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f64 x)) x)

Outputs

(copysign.f64 (asinh.f64 (fabs.f64 x)) x)

(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f64 x)) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))

(copysign.f64 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f64 x)) x)

derivations527.0ms (10.3%)

Memory

7.3MiB live, 533.8MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	586
1	568	548
2	2395	527
0	8393	487
0	108	287
1	326	221
2	1346	192
0	9107	188
0	9	44
0	16	32
1	56	24
0	406	23
0	245	792
1	803	673
2	3563	634
0	8218	591
0	30	234
0	49	202
1	135	202
0	856	197

Stop Event

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

Compiler

Compiled 50 to 24 computations (52% saved)

preprocess79.0ms (1.6%)

Memory: -10.8MiB live, 80.1MiB allocated; 30ms collecting garbage
Compiler: Compiled 164 to 86 computations (47.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample622.0ms (12.2%)

explain267.0ms (5.2%)

preprocess218.0ms (4.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify183.0ms (3.6%)

localize110.0ms (2.2%)

series5.0ms (0.1%)

simplify174.0ms (3.4%)

rewrite65.0ms (1.3%)

eval36.0ms (0.7%)

prune4.0ms (0.1%)

simplify161.0ms (3.2%)

localize199.0ms (3.9%)

series192.0ms (3.8%)

simplify184.0ms (3.6%)

rewrite58.0ms (1.1%)

eval104.0ms (2%)

prune18.0ms (0.4%)

simplify833.0ms (16.3%)

localize150.0ms (2.9%)

series16.0ms (0.3%)

simplify162.0ms (3.2%)

rewrite54.0ms (1.1%)

eval59.0ms (1.1%)

prune4.0ms (0.1%)

simplify157.0ms (3.1%)

localize30.0ms (0.6%)

series2.0ms (0%)

simplify175.0ms (3.4%)

rewrite45.0ms (0.9%)

eval23.0ms (0.5%)

prune5.0ms (0.1%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes11.0ms (0.2%)

bsearch19.0ms (0.4%)

simplify130.0ms (2.5%)

derivations527.0ms (10.3%)

preprocess79.0ms (1.6%)

end0.0ms (0%)

Profiling