Metrics for Rust f64::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample570.0ms (9.8%)

Memory

25.7MiB live, 881.3MiB allocated

Samples

349.0ms

8 256×

valid

Precisions

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

ival-asinh: 152.0ms (93.8% of total)

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

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

Bogosity

explain271.0ms (4.7%)

Memory

-31.3MiB live, 353.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
67	-	-	`(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	118	1
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	67	0
↳	`(*.f64 x x)`	overflow	67
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	67
`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	67
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	67

Confusion

	Predicted +	Predicted -
+	185	0
-	0	71

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	185	0	0
-	0	1	70

Precision?

0.9946236559139785

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	136×	1	valid
56.0ms	94×	2	valid
26.0ms	282×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-hypot: 48.0ms (33% of total)

ival-log: 42.0ms (28.9% of total)

ival-add: 34.0ms (23.4% of total)

ival-copysign: 7.0ms (4.8% of total)

adjust: 6.0ms (4.1% of total)

ival-mult: 4.0ms (2.8% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess14.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	9	12
0	16	12
1	24	12
2	42	12
3	69	12
4	84	12
0	84	11

Stop Event

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

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (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
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.9%	(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)

simplify4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

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	42	49
3	69	49
4	84	49
0	84	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize100.0ms (1.7%)

Memory

2.9MiB live, 104.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	0.01171875	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	15.597298314946496	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	27.578258424970926	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

62.0ms	47×	2	valid
15.0ms	68×	1	valid
13.0ms	141×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

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

ival-log: 23.0ms (48.9% of total)

ival-hypot: 9.0ms (19.1% of total)

ival-copysign: 4.0ms (8.5% of total)

adjust: 3.0ms (6.4% of total)

ival-add: 3.0ms (6.4% of total)

ival-mult: 2.0ms (4.3% of total)

ival-fabs: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.5%)

Memory

-35.4MiB live, 9.6MiB allocated

Counts

5 → 38

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)))

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)))))
(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
25.0ms	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)))
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)))
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)))

Time

Variable

Point

Expression

25.0ms

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)))

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)))

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)))

simplify210.0ms (3.6%)

Memory

3.0MiB live, 242.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	584
1	568	546
2	2202	528
0	8591	488

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

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

rewrite235.0ms (4%)

Memory

15.6MiB live, 154.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	16	30
1	56	22
2	375	17
3	4916	17
0	8251	16

Stop Event

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

Counts

5 → 461

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)))

Outputs
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (sin.f64 (acos.f64 x)))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (acos.f64 x)))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 (sin.f64 (acos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (sin.f64 (acos.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (sin.f64 (acos.f64 x)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 (acos.f64 x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 (acos.f64 x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(.f64 (.f64 (sin.f64 (acos.f64 x)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 (acos.f64 x)))))
(.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 (acos.f64 x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (sin.f64 (acos.f64 x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (sin.f64 (acos.f64 x))))
(*.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 (sin.f64 (acos.f64 x))))
(*.f64 (sin.f64 (acos.f64 x)) (pow.f64 (neg.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))
(pow.f64 (sin.f64 (acos.f64 x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 (sin.f64 (acos.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (sin.f64 (acos.f64 x))) (sin.f64 (acos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (sinh.f64 (acosh.f64 (.f64 x x))) (sin.f64 (acos.f64 x))) (sinh.f64 (acosh.f64 x)))
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (sin.f64 (acos.f64 x))) (hypot.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sin.f64 (acos.f64 x))) (sin.f64 (acos.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 (sin.f64 (acos.f64 x)) (sinh.f64 (acosh.f64 (.f64 x x)))) (sinh.f64 (acosh.f64 x)))
(/.f64 (*.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (hypot.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (.f64 (sin.f64 (acos.f64 x)) (.f64 #s(literal 2 binary64) (sin.f64 (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (-.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
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(pow.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sin.f64 (acos.f64 x))) #s(literal 1 binary64))
(pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 (*.f64 x x)))) (neg.f64 (sinh.f64 (acosh.f64 x))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (hypot.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (acos.f64 x)))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (sinh.f64 (acosh.f64 (*.f64 x x)))) (fabs.f64 (sinh.f64 (acosh.f64 x))))
(/.f64 (fabs.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (hypot.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 x)))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (acos.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sin.f64 (acos.f64 x)))
(sin.f64 (acos.f64 (exp.f64 (log.f64 x))))
(sin.f64 (acos.f64 x))
(cosh.f64 (asinh.f64 (exp.f64 (log.f64 x))))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (.f64 (cosh.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (cosh.f64 (log.f64 (neg.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)))))) (.f64 (sinh.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (sinh.f64 (log.f64 (neg.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)))))))
(-.f64 (.f64 (cosh.f64 (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x))) (cosh.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))))) (.f64 (sinh.f64 (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x))) (sinh.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))))))
(-.f64 (.f64 (cosh.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cosh.f64 (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))))) (.f64 (sinh.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sinh.f64 (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))))))
(-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (.f64 (sinh.f64 (asinh.f64 (.f64 x x))) x))
(fabs.f64 (neg.f64 (sin.f64 (acos.f64 x))))
(fabs.f64 (sin.f64 (acos.f64 x)))
(cos.f64 (asin.f64 (exp.f64 (log.f64 x))))
(cos.f64 (asin.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (acos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 (acos.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 (acos.f64 x))))
(+.f64 (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 (acos.f64 x)))) (sinh.f64 (log.f64 (sin.f64 (acos.f64 x)))))

eval232.0ms (4%)

Memory: -22.7MiB live, 179.2MiB allocated
Compiler: Compiled 11 787 to 2 604 computations (77.9% saved)

prune14.0ms (0.2%)

Memory

33.9MiB live, 33.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	489	8	497
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	490	8	498

Accuracy

100.0%

Counts

498 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
	29.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))) x)
▶	26.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))) x)
▶	30.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
▶	26.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))) x)
▶	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	48.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)))) x)
	49.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x (log1p.f64 (fabs.f64 x)))) x)

Compiler

Compiled 384 to 238 computations (38% saved)

simplify279.0ms (4.8%)

Memory

11.4MiB live, 151.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)))) x)
cost-diff	2	(*.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))
cost-diff	5	(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))))
cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))) x)
cost-diff	3	(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
cost-diff	3	(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 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	(asinh.f64 x)
cost-diff	0	(copysign.f64 (asinh.f64 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	682
0	96	682
1	150	682
2	353	647
3	1354	627
4	6161	619
0	8233	599

Stop Event

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

Calls

Call 1

Inputs
(copysign.f64 (asinh.f64 x) x)
(asinh.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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))
(/.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(neg.f64 x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
(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)))
(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))))
(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 #s(literal 1/720 binary64) (.f64 x x))
#s(literal 1/720 binary64)
(*.f64 x 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 #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 (/.f64 #s(literal 30 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 45 binary64))
(/.f64 #s(literal 30 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 30 binary64)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(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))
#s(literal 2 binary64)
(/.f64 #s(literal -45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal -45 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 (+.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 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 3 binary64)
#s(literal -1/24 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(log1p.f64 (fabs.f64 x))

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

localize283.0ms (4.9%)

Memory

-18.2MiB live, 592.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.34204580326879724	(.f64 #s(literal 1/720 binary64) (.f64 x x))
accuracy	0.6236166664664711	(/.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)))
accuracy	15.491693620463993	(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)))
accuracy	32.97622310399404	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
accuracy	0.5612452838724541	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	14.28087096841769	(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
accuracy	27.578258424970926	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))))
accuracy	47.19420047890808	#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(fabs.f64 x)
accuracy	27.578258424970926	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))))
accuracy	44.30862713154729	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
accuracy	0.0	(/.f64 (fabs.f64 x) x)
accuracy	0.0	(fabs.f64 x)
accuracy	27.578258424970926	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x)))
accuracy	46.777244056393	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))
accuracy	0.0	(copysign.f64 (asinh.f64 x) x)
accuracy	0.1015625	(asinh.f64 x)

Samples

92.0ms	68×	1	valid
62.0ms	47×	2	valid
61.0ms	141×	0	valid

Compiler

Compiled 488 to 48 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-add: 27.0ms (18.6% of total)

ival-div: 25.0ms (17.2% of total)

ival-log: 17.0ms (11.7% of total)

ival-mult: 16.0ms (11% of total)

adjust: 13.0ms (8.9% of total)

ival-hypot: 13.0ms (8.9% of total)

ival-copysign: 10.0ms (6.9% of total)

const: 9.0ms (6.2% of total)

ival-log1p: 4.0ms (2.8% of total)

ival-pow2: 4.0ms (2.8% of total)

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

ival-sub: 2.0ms (1.4% of total)

ival-fabs: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series52.0ms (0.9%)

Memory

-0.1MiB live, 92.0MiB allocated

Counts

26 → 69

Calls

Call 1

Inputs
(copysign.f64 (asinh.f64 x) x)
(asinh.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))
(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))
(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 (/.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))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
(fabs.f64 x)
(/.f64 (fabs.f64 x) x)
(neg.f64 x)
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(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 (+.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 1/720 binary64) (.f64 x x))

Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fabs x)
(+ x (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)))))))
(+ 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))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 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)))))
(* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(/ (fabs x) x)
(* -1 x)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(/ 1/2 (pow x 2))
(+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))
(/ (+ 45 (* 30 (/ 1 (+ 1 (fabs x))))) (pow (+ 1 (fabs x)) 2))
(* 1/720 (pow x 2))
(+ (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)))
(* x (+ 1 (/ (fabs x) x)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* 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 (- (/ (fabs x) x) 1))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (* (pow x 4) (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x))))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (* 1/720 (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x)))))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (+ (* 1/720 (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x))))))) (/ 1/2 (* (pow x 4) (+ 1 (fabs x)))))))
(* 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))))
(* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (* 1/720 (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -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) 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
24.0ms	x	@	-inf	((copysign (asinh x) x) (asinh 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))) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ 1/2 (* 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))) (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (* x x)) (/ 1/2 (+ (fabs x) 1))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fabs x) (/ (fabs x) x) (neg x) (sqrt (+ (* x x) 1)) (/ 1/2 (* x x)) (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (* 1/720 (* x x)))
19.0ms	x	@	inf	((copysign (asinh x) x) (asinh 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))) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ 1/2 (* 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))) (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (* x x)) (/ 1/2 (+ (fabs x) 1))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fabs x) (/ (fabs x) x) (neg x) (sqrt (+ (* x x) 1)) (/ 1/2 (* x x)) (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (* 1/720 (* x x)))
8.0ms	x	@	0	((copysign (asinh x) x) (asinh 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))) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ 1/2 (* 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))) (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (* x x)) (/ 1/2 (+ (fabs x) 1))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fabs x) (/ (fabs x) x) (neg x) (sqrt (+ (* x x) 1)) (/ 1/2 (* x x)) (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (* 1/720 (* x x)))

Time

Variable

Point

Expression

24.0ms

-inf

((copysign (asinh x) x) (asinh 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))) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ 1/2 (* 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))) (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (* x x)) (/ 1/2 (+ (fabs x) 1))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fabs x) (/ (fabs x) x) (neg x) (sqrt (+ (* x x) 1)) (/ 1/2 (* x x)) (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (* 1/720 (* x x)))

19.0ms

inf

((copysign (asinh x) x) (asinh 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))) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ 1/2 (* 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))) (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (* x x)) (/ 1/2 (+ (fabs x) 1))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fabs x) (/ (fabs x) x) (neg x) (sqrt (+ (* x x) 1)) (/ 1/2 (* x x)) (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (* 1/720 (* x x)))

8.0ms

((copysign (asinh x) x) (asinh 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))) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ 1/2 (* 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))) (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (* x x)) (/ 1/2 (+ (fabs x) 1))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fabs x) (/ (fabs x) x) (neg x) (sqrt (+ (* x x) 1)) (/ 1/2 (* x x)) (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (/ -45 (+ (fabs x) 1)))) (* (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1)) -1/24)) (/ (+ (/ 30 (+ (fabs x) 1)) 45) (pow (+ (fabs x) 1) 2)) (* 1/720 (* x x)))

simplify184.0ms (3.2%)

Memory

21.5MiB live, 297.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1205
1	868	1116
2	3311	1058
0	8623	1010

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 68

Calls

Call 1

Inputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fabs x)
(+ x (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)))))))
(+ 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))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 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)))))
(* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(/ (fabs x) x)
(* -1 x)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(/ 1/2 (pow x 2))
(+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))
(/ (+ 45 (* 30 (/ 1 (+ 1 (fabs x))))) (pow (+ 1 (fabs x)) 2))
(* 1/720 (pow x 2))
(+ (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)))
(* x (+ 1 (/ (fabs x) x)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* 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 (- (/ (fabs x) x) 1))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (* (pow x 4) (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x))))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (* 1/720 (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x)))))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (+ (* 1/720 (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x))))))) (/ 1/2 (* (pow x 4) (+ 1 (fabs x)))))))
(* 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))))
(* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (* 1/720 (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -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) 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 (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)
(fabs x)
(fabs.f64 x)
(+ x (fabs 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 (/.f64 (fma.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 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))))
(+ 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 (-.f64 (.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)))
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (pow x 2)) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(/.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 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 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(* -1 x)
(neg.f64 x)
1
#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 (-.f64 (.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))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))
(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/ (+ 45 (* 30 (/ 1 (+ 1 (fabs x))))) (pow (+ 1 (fabs x)) 2))
(/.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)))
(* 1/720 (pow x 2))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.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 x) (log.f64 #s(literal 2 binary64))) (/.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 x) (log.f64 #s(literal 2 binary64))) (/.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))))
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 (/.f64 (fabs.f64 x) x) x 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 (/.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))))
(+.f64 (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) (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) #s(literal -1/2 binary64)))
(* 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 (- (/ (fabs x) x) 1))
(*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) x)
(* 1/720 (* (pow x 4) (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x))))))))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (* 1/720 (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x)))))))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (.f64 x x)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 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))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (+ (* 1/720 (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x))))))) (/ 1/2 (* (pow x 4) (+ 1 (fabs x)))))))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/720 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) 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)
(* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))
(.f64 (.f64 #s(literal 1/720 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (* 1/720 (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (.f64 x x)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 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))) #s(literal 1/720 binary64))) (.f64 x 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 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f64 (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (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 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64) (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 (/.f64 (fma.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) #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 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 (* 1/2 (/ 1 (pow x 2))))))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (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))

rewrite225.0ms (3.9%)

Memory

-15.2MiB live, 366.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	503
0	96	463
1	342	455
2	2706	360
0	9012	359

Stop Event

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

Counts

26 → 357

Calls

Call 1

Inputs
(copysign.f64 (asinh.f64 x) x)
(asinh.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))
(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))
(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 (/.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))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
(fabs.f64 x)
(/.f64 (fabs.f64 x) x)
(neg.f64 x)
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(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 (+.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 1/720 binary64) (.f64 x x))

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

eval178.0ms (3.1%)

Memory: 17.7MiB live, 294.0MiB allocated
Compiler: Compiled 39 758 to 3 643 computations (90.8% saved)

prune12.0ms (0.2%)

Memory

40.4MiB live, 40.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	572	6	578
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	579	7	586

Accuracy

100.0%

Counts

586 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))))) x)
▶	25.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
▶	30.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
	48.4%	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)
▶	48.5%	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) x)
▶	17.7%	#s(approx (copysign (asinh x) x) (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x))

Compiler

Compiled 232 to 155 computations (33.2% saved)

simplify152.0ms (2.6%)

Memory

-22.9MiB live, 112.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	345
0	68	345
1	95	345
2	174	317
3	434	309
4	1077	305
5	2981	305
6	3856	305
7	4721	305
8	5962	305
9	6695	305
10	7097	305
0	9366	305

Stop Event

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

Calls

Call 1

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

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

localize292.0ms (5%)

Memory

17.2MiB live, 358.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
accuracy	0.01171875	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))))
accuracy	27.578258424970926	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))
accuracy	47.19420047890808	#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
accuracy	0.0	#s(approx (copysign (asinh x) x) (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x))
accuracy	15.597298314946496	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	17.007692668481475	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy	27.550552057316303	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy	0.0	(fabs.f64 x)
accuracy	0.0	#s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))
accuracy	27.578258424970926	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))))
accuracy	44.30862713154729	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))
accuracy	0.0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
accuracy	0.0	(+.f64 x x)
accuracy	27.578258424970926	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x)))
accuracy	47.197579557437216	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))
accuracy	0.0	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) x)
accuracy	0.00390625	(pow.f64 x #s(literal 3 binary64))
accuracy	0.27851123255549637	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy	34.0574675801409	#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))

Samples

130.0ms	47×	2	valid
116.0ms	139×	1	valid
18.0ms	70×	0	valid

Compiler

Compiled 206 to 33 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-log: 57.0ms (36.1% of total)

ival-add: 27.0ms (17.1% of total)

adjust: 16.0ms (10.1% of total)

ival-hypot: 11.0ms (7% of total)

ival-copysign: 11.0ms (7% of total)

ival-mult: 9.0ms (5.7% of total)

ival-div: 7.0ms (4.4% of total)

ival-pow: 7.0ms (4.4% of total)

const: 5.0ms (3.2% of total)

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

ival-sub: 1.0ms (0.6% of total)

ival-fabs: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.6%)

Memory

-22.6MiB live, 23.2MiB allocated

Counts

23 → 68

Calls

Call 1

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

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

27.0ms

inf

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) -1/6) x) (pow x 3) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ 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) x) (neg x)) (copysign (asinh x) x) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) 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) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (+ (/ 1/2 x) x))

2.0ms

-inf

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) -1/6) x) (pow x 3) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ 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) x) (neg x)) (copysign (asinh x) x) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) 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) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (+ (/ 1/2 x) x))

2.0ms

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) -1/6) x) (pow x 3) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ 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) x) (neg x)) (copysign (asinh x) x) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) 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) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (+ (/ 1/2 x) x))

simplify302.0ms (5.2%)

Memory

-10.0MiB live, 277.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	948
1	815	905
2	2925	870
0	8335	819

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 67

Calls

Call 1

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

rewrite172.0ms (2.9%)

Memory

20.8MiB live, 209.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	308
0	68	266
1	211	266
2	1451	190
0	9062	186

Stop Event

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

Counts

23 → 291

Calls

Call 1

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

Outputs
(copysign.f64 #s(approx (asinh x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) x)
#s(approx (asinh x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))) (.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fabs.f64 (/.f64 x x)) x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) x)
(fma.f64 (/.f64 x x) x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 x (fabs.f64 (/.f64 x x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 x (/.f64 x x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(-.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(-.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
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(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) x) x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) x) x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))

eval79.0ms (1.4%)

Memory: 4.1MiB live, 89.9MiB allocated
Compiler: Compiled 12 990 to 2 003 computations (84.6% saved)

prune10.0ms (0.2%)

Memory

31.8MiB live, 31.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	378	4	382
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	380	9	389

Accuracy

100.0%

Counts

389 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.4%	(copysign.f64 (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))))) x)
✓	25.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	30.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	48.4%	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)
▶	48.5%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
▶	48.5%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) x)
▶	48.5%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)
✓	17.7%	#s(approx (copysign (asinh x) x) (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x))

Compiler

Compiled 228 to 147 computations (35.5% saved)

simplify315.0ms (5.4%)

Memory

-47.5MiB live, 159.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	313
0	65	293
1	103	293
2	221	273
3	617	273
4	1416	273
5	2716	273
6	3589	273
7	3855	273
8	3982	273
9	4024	273
10	4029	273
11	4029	273
12	4221	273
13	4281	273
14	4309	273
15	4309	273
16	6522	273
17	7211	273
18	7439	273
0	8711	269

Stop Event

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

Calls

Call 1

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

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

localize334.0ms (5.7%)

Memory

8.7MiB live, 532.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
accuracy	0.04296875	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy	0.3492054214451056	(.f64 #s(literal 3/40 binary64) (.f64 x x))
accuracy	32.9930630664956	#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
accuracy	17.007692668481475	(+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))))
accuracy	27.550552057316303	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))
accuracy	47.19420047890808	#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.046875	(.f64 (.f64 x x) x)
accuracy	0.27851123255549637	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy	34.0574675801409	#s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0625	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
accuracy	0.35546875	(*.f64 x #s(literal -1/6 binary64))
accuracy	34.0574675801409	#s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.05859375	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
accuracy	0.1875	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	34.0574675801409	#s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))

Samples

185.0ms	139×	1	valid
65.0ms	70×	0	valid
53.0ms	47×	2	valid

Compiler

Compiled 169 to 35 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-add: 58.0ms (22.9% of total)

ival-pow: 45.0ms (17.7% of total)

adjust: 40.0ms (15.8% of total)

ival-mult: 40.0ms (15.8% of total)

ival-log: 27.0ms (10.6% of total)

const: 14.0ms (5.5% of total)

ival-hypot: 11.0ms (4.3% of total)

ival-copysign: 7.0ms (2.8% of total)

ival-div: 6.0ms (2.4% of total)

ival-asinh: 3.0ms (1.2% of total)

ival-sub: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

24 → 54

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((+ (* (* -1/6 (* x x)) x) x) (copysign (asinh x) x) (asinh x) (* -1/6 (* x x)) (+ (* (* x x) (* x -1/6)) x) (copysign (asinh x) x) (asinh x) (* x x) (* (* x x) x) (copysign (asinh x) x) (asinh x) (+ (* (* (* x x) x) -1/6) x) (copysign (log (+ x (sqrt (+ (* x x) 1)))) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (pow x 3) (* x -1/6) (+ (/ 1/2 x) x) (* 3/40 (* x x)) (- (* 3/40 (* x x)) 1/6))

3.0ms

inf

((+ (* (* -1/6 (* x x)) x) x) (copysign (asinh x) x) (asinh x) (* -1/6 (* x x)) (+ (* (* x x) (* x -1/6)) x) (copysign (asinh x) x) (asinh x) (* x x) (* (* x x) x) (copysign (asinh x) x) (asinh x) (+ (* (* (* x x) x) -1/6) x) (copysign (log (+ x (sqrt (+ (* x x) 1)))) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (pow x 3) (* x -1/6) (+ (/ 1/2 x) x) (* 3/40 (* x x)) (- (* 3/40 (* x x)) 1/6))

2.0ms

((+ (* (* -1/6 (* x x)) x) x) (copysign (asinh x) x) (asinh x) (* -1/6 (* x x)) (+ (* (* x x) (* x -1/6)) x) (copysign (asinh x) x) (asinh x) (* x x) (* (* x x) x) (copysign (asinh x) x) (asinh x) (+ (* (* (* x x) x) -1/6) x) (copysign (log (+ x (sqrt (+ (* x x) 1)))) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (pow x 3) (* x -1/6) (+ (/ 1/2 x) x) (* 3/40 (* x x)) (- (* 3/40 (* x x)) 1/6))

simplify172.0ms (3%)

Memory

-29.4MiB live, 168.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	596
1	449	582
2	1288	574
3	4375	570
0	8201	546

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

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

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

rewrite277.0ms (4.8%)

Memory

0.6MiB live, 292.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	274
0	65	242
1	223	242
2	1299	242
0	8260	238

Stop Event

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

Counts

24 → 462

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))) (+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (.f64 x x)) (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (.f64 x x)))) (+.f64 x (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) (+.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal -1/6 binary64))) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal -1/6 binary64))))) (+.f64 x (.f64 (.f64 (neg.f64 x) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/6 binary64))))) (+.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (.f64 x x)) (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (.f64 x x)) (.f64 x (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x) (.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal -1/6 binary64))) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 (neg.f64 x) x) (*.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x) (.f64 x x))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
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(-.f64 (/.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))

eval100.0ms (1.7%)

Memory: -9.3MiB live, 79.3MiB allocated
Compiler: Compiled 16 509 to 2 065 computations (87.5% saved)

prune27.0ms (0.5%)

Memory

18.9MiB live, 63.8MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	402	2	404
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	403	10	413

Accuracy

100.0%

Counts

413 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.4%	(copysign.f64 (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))))) x)
✓	25.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	30.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
	48.4%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x)) x x)) x)
✓	48.5%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
✓	48.5%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) x)
✓	48.5%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)
	48.5%	(copysign.f64 #s(approx (asinh x) (.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)) x)
✓	17.7%	#s(approx (copysign (asinh x) x) (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x))

Compiler

Compiled 576 to 242 computations (58% saved)

regimes12.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (asinh x) (.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x)) x x)) x)
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))))) x)
#s(approx (copysign (asinh x) x) (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) 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) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) 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))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)))) x)

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

Calls

2 calls:

6.0ms	x
5.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.8%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
99.8%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes9.0ms (0.1%)

Memory

-46.5MiB live, 8.8MiB allocated

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (asinh x) (.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x)) x x)) x)

Outputs
(copysign.f64 #s(approx (asinh x) (.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)) x)

Calls

2 calls:

6.0ms	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
48.5%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
48.5%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify10.0ms (0.2%)

Memory

35.1MiB live, 35.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	13	17

Stop Event

1×

saturated

Calls

Call 1

Inputs
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 #s(approx (asinh x) (.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)) x)

Outputs
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 #s(approx (asinh x) (.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)) x)

soundness585.0ms (10%)

Memory

-2.5MiB live, 614.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1205
1	868	1116
2	3311	1058
0	8623	1010
0	40	274
0	65	242
1	223	242
2	1299	242
0	8260	238
0	46	308
0	68	266
1	211	266
2	1451	190
0	9062	186
0	9	42
0	16	30
1	56	22
2	375	17
3	4916	17
0	8251	16

Stop Event

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

Compiler

Compiled 91 to 59 computations (35.2% saved)

preprocess42.0ms (0.7%)

Memory: -22.3MiB live, 66.5MiB allocated
Compiler: Compiled 98 to 60 computations (38.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample570.0ms (9.8%)

explain271.0ms (4.7%)

preprocess14.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize100.0ms (1.7%)

series29.0ms (0.5%)

simplify210.0ms (3.6%)

rewrite235.0ms (4%)

eval232.0ms (4%)

prune14.0ms (0.2%)

simplify279.0ms (4.8%)

localize283.0ms (4.9%)

series52.0ms (0.9%)

simplify184.0ms (3.2%)

rewrite225.0ms (3.9%)

eval178.0ms (3.1%)

prune12.0ms (0.2%)

simplify152.0ms (2.6%)

localize292.0ms (5%)

series33.0ms (0.6%)

simplify302.0ms (5.2%)

rewrite172.0ms (2.9%)

eval79.0ms (1.4%)

prune10.0ms (0.2%)

simplify315.0ms (5.4%)

localize334.0ms (5.7%)

series9.0ms (0.2%)

simplify172.0ms (3%)

rewrite277.0ms (4.8%)

eval100.0ms (1.7%)

prune27.0ms (0.5%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

simplify10.0ms (0.2%)

soundness585.0ms (10%)

preprocess42.0ms (0.7%)

end0.0ms (0%)

Profiling