Metrics for Rust f64::asinh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample820.0ms (14.4%)

Memory

-36.9MiB live, 738.8MiB allocated

Samples

509.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-asinh: 130.0ms (93.5% of total)

ival-true: 5.0ms (3.6% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain272.0ms (4.8%)

Memory

4.3MiB live, 487.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
135	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
59	-	-	`(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	135	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	59	0
↳	`(*.f64 x x)`	overflow	59
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	59

Confusion

	Predicted +	Predicted -
+	194	0
-	0	62

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	194	0	0
-	0	0	62

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	62
1	194

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	98×	2	valid
41.0ms	166×	1	valid
26.0ms	248×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-log: 37.0ms (40.4% of total)

ival-hypot: 19.0ms (20.7% of total)

adjust: 11.0ms (12% of total)

ival-copysign: 8.0ms (8.7% of total)

ival-add: 8.0ms (8.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory

12.8MiB live, 59.8MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.6%	(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

9.0MiB live, 9.0MiB 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)

localize88.0ms (1.6%)

Memory

-12.4MiB live, 171.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.00390625	(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	13.737658785692384	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	31.382273756191143	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

29.0ms	83×	1	valid
28.0ms	49×	2	valid
22.0ms	124×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-log: 18.0ms (31.7% of total)

ival-add: 15.0ms (26.4% of total)

ival-hypot: 9.0ms (15.8% of total)

ival-fabs: 5.0ms (8.8% of total)

adjust: 4.0ms (7% of total)

ival-copysign: 3.0ms (5.3% of total)

ival-mult: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

6 → 39

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify149.0ms (2.6%)

Memory

7.7MiB live, 201.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	586
1	568	548
2	2202	530
0	8591	490

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

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

rewrite230.0ms (4.1%)

Memory

-15.1MiB live, 354.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	16	32
1	56	24
2	375	18
3	4916	18
0	8251	17

Stop Event

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

Counts

6 → 510

Calls

Call 1

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

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

eval148.0ms (2.6%)

Memory: 30.3MiB live, 125.0MiB allocated
Compiler: Compiled 12 795 to 2 821 computations (78% saved)

prune19.0ms (0.3%)

Memory

-14.9MiB live, 31.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	542	5	547
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	543	5	548

Accuracy

100.0%

Counts

548 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))) x)
▶	25.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
▶	27.5%	(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)
▶	54.4%	(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)

Compiler

Compiled 268 to 158 computations (41% saved)

simplify229.0ms (4%)

Memory

4.9MiB live, 238.9MiB 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	#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	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x)))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))) x)
cost-diff	3	(fma.f64 (/.f64 (fabs.f64 x) x) x x)
cost-diff	0	(asinh.f64 x)
cost-diff	0	(copysign.f64 (asinh.f64 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	657
0	93	657
1	139	657
2	312	637
3	1208	617
4	5704	609
0	8260	588

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

localize396.0ms (7%)

Memory

27.1MiB live, 358.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(*.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	0.24171403293847915	(/.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	13.794311529578124	(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	29.16287980988767	#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	0.0	(neg.f64 x)
accuracy	0.0	(fabs.f64 x)
accuracy	31.382273756191143	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))))
accuracy	47.722025710606495	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
accuracy	0.0	(fabs.f64 x)
accuracy	13.737658785692384	(sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	31.382273756191143	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
accuracy	32.29987587564883	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	0.0	(/.f64 (fabs.f64 x) x)
accuracy	0.0	(fabs.f64 x)
accuracy	31.382273756191143	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x)))
accuracy	46.432165233230094	#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	0.12890625	(asinh.f64 x)

Samples

158.0ms	83×	1	valid
60.0ms	124×	0	valid
50.0ms	49×	2	valid

Compiler

Compiled 478 to 46 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-div: 63.0ms (29.3% of total)

ival-mult: 45.0ms (20.9% of total)

ival-pow2: 25.0ms (11.6% of total)

ival-log: 18.0ms (8.4% of total)

ival-add: 15.0ms (7% of total)

adjust: 14.0ms (6.5% of total)

ival-hypot: 10.0ms (4.6% of total)

const: 9.0ms (4.2% of total)

ival-copysign: 6.0ms (2.8% of total)

ival-asinh: 3.0ms (1.4% of total)

ival-log1p: 3.0ms (1.4% of total)

ival-sub: 2.0ms (0.9% of total)

ival-fabs: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series98.0ms (1.7%)

Memory

-37.8MiB live, 50.3MiB allocated

Counts

24 → 68

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

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 (+ 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
(+ 1 (pow x 2))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 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))))))))
(/ (+ 45 (* 30 (/ 1 (+ 1 (fabs x))))) (pow (+ 1 (fabs 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))
(* 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)))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* 1/720 (* (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
11.0ms	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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (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))) (+ (* (+ (* (* 1/720 (* 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) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg 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)))
7.0ms	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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (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))) (+ (* (+ (* (* 1/720 (* 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) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg 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)))
7.0ms	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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (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))) (+ (* (+ (* (* 1/720 (* 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) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg 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)))

Time

Variable

Point

Expression

11.0ms

-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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (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))) (+ (* (+ (* (* 1/720 (* 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) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg 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)))

7.0ms

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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (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))) (+ (* (+ (* (* 1/720 (* 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) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg 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)))

7.0ms

((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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (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))) (+ (* (+ (* (* 1/720 (* 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) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg 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)))

simplify260.0ms (4.6%)

Memory

0.9MiB live, 393.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	1198
1	869	1099
2	3329	1058
0	8407	1009

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

rewrite237.0ms (4.2%)

Memory

22.8MiB live, 308.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	474
0	93	446
1	320	438
2	2530	343
0	8586	337

Stop Event

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

Counts

24 → 355

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

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

eval310.0ms (5.5%)

Memory: -25.6MiB live, 311.0MiB allocated
Compiler: Compiled 38 686 to 3 572 computations (90.8% saved)

prune9.0ms (0.2%)

Memory

35.6MiB live, 35.6MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	570	3	573
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	574	4	578

Accuracy

100.0%

Counts

578 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
▶	25.4%	(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)
▶	54.4%	(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)

Compiler

Compiled 64 to 43 computations (32.8% saved)

simplify121.0ms (2.1%)

Memory

-28.7MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
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	#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	(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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	210
0	47	210
1	67	210
2	126	202
3	307	194
4	598	194
5	1398	194
6	2523	190
7	3920	190
8	5572	190
9	6643	190
0	8042	184

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)) (-.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)
(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
(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

Outputs
(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 (.f64 x x) #s(literal 3/40 binary64)) #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 (.f64 x x) #s(literal 3/40 binary64)) #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 (.f64 x x) #s(literal 3/40 binary64)) #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 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
(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
(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

localize180.0ms (3.2%)

Memory

29.0MiB live, 256.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
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	31.382273756191143	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x)))
accuracy	46.79500196871767	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))
accuracy	0.0	(fabs.f64 x)
accuracy	0.0	#s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))
accuracy	31.382273756191143	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))))
accuracy	47.722025710606495	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))
accuracy	0.0078125	(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
accuracy	0.05078125	(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	0.1484375	(.f64 #s(literal 3/40 binary64) (.f64 x x))
accuracy	29.162996380798116	#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))

Samples

45.0ms	49×	2	valid
39.0ms	83×	1	valid
37.0ms	124×	0	valid

Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-log: 19.0ms (20.6% of total)

adjust: 18.0ms (19.5% of total)

ival-hypot: 11.0ms (11.9% of total)

const: 9.0ms (9.7% of total)

ival-add: 8.0ms (8.7% of total)

ival-mult: 7.0ms (7.6% of total)

ival-copysign: 5.0ms (5.4% of total)

ival-pow: 4.0ms (4.3% of total)

ival-asinh: 3.0ms (3.2% of total)

ival-sub: 3.0ms (3.2% of total)

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

ival-fabs: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

15 → 52

Calls

Call 1

Inputs
(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))
(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))
(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)
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(fabs.f64 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))))))
(fabs x)
(+ (fabs x) (* -1 x))
(* 2 x)
(* 3/40 (pow x 2))
-1/6
(- (* 3/40 (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)))
(* 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)))))
(* -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))
(* (pow x 2) (- 3/40 (* 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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (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)))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (- (* 3/40 (* x x)) 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))) (+ (* (/ (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))) (+ x x) (* 3/40 (* x x)) (- (* 3/40 (* x x)) 1/6) (fabs x))

2.0ms

-inf

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (- (* 3/40 (* x x)) 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))) (+ (* (/ (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))) (+ x x) (* 3/40 (* x x)) (- (* 3/40 (* x x)) 1/6) (fabs x))

2.0ms

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (- (* 3/40 (* x x)) 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))) (+ (* (/ (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))) (+ x x) (* 3/40 (* x x)) (- (* 3/40 (* x x)) 1/6) (fabs x))

simplify236.0ms (4.1%)

Memory

-24.1MiB live, 228.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	741
1	677	698
2	2470	671
0	8437	637

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

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))))))
(fabs x)
(+ (fabs x) (* -1 x))
(* 2 x)
(* 3/40 (pow x 2))
-1/6
(- (* 3/40 (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)))
(* 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)))))
(* -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))
(* (pow x 2) (- 3/40 (* 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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (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)))))

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

rewrite102.0ms (1.8%)

Memory

22.7MiB live, 155.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	197
0	47	179
1	154	179
2	1043	108
0	9520	108

Stop Event

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

Counts

15 → 168

Calls

Call 1

Inputs
(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))
(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))
(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)
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(fabs.f64 x)

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

eval73.0ms (1.3%)

Memory: -7.5MiB live, 93.5MiB allocated
Compiler: Compiled 6 927 to 1 099 computations (84.1% saved)

prune10.0ms (0.2%)

Memory

-17.5MiB live, 23.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	214	4	218
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	215	7	222

Accuracy

100.0%

Counts

222 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	25.4%	(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)
▶	54.3%	(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)
▶	54.3%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (.f64 x x) x)) x)
▶	31.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) x)) (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) x)
▶	54.4%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)

Compiler

Compiled 127 to 77 computations (39.4% saved)

simplify92.0ms (1.6%)

Memory

31.4MiB live, 77.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	324
0	51	308
1	94	286
2	255	286
3	1070	286
4	1924	286
5	2340	286
6	2443	286
7	2502	286
8	2538	286
9	2556	286
10	2556	286
11	3582	286
12	3742	286
13	3742	286
14	3742	286
15	3742	286
0	3742	280

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (1.8%)

Memory

-23.5MiB live, 125.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x)) x x)
accuracy	0.09375	(.f64 #s(literal -3/40 binary64) (.f64 x x))
accuracy	0.13671875	(.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x))
accuracy	15.684835014719047	#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))
accuracy	0.01953125	(fma.f64 (.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
accuracy	0.09375	(.f64 #s(literal -3/40 binary64) (.f64 x x))
accuracy	0.12890625	(.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy	15.684835014719047	#s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (.f64 x x) x))
accuracy	0.09375	(.f64 #s(literal 3/40 binary64) (.f64 x x))
accuracy	0.09765625	(*.f64 (sqrt.f64 x) x)
accuracy	0.1171875	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x))
accuracy	15.17417261951546	#s(approx (asinh x) (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) x)) (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
accuracy	0.02734375	(fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy	0.03515625	(.f64 (.f64 x x) x)
accuracy	0.09375	(.f64 #s(literal 3/40 binary64) (.f64 x x))
accuracy	15.17417261951546	#s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))

Samples

51.0ms	140×	0	valid
26.0ms	116×	0	invalid

Compiler

Compiled 202 to 27 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

const: 20.0ms (39.5% of total)

ival-mult: 17.0ms (33.6% of total)

ival-add: 4.0ms (7.9% of total)

ival-asinh: 3.0ms (5.9% of total)

ival-copysign: 2.0ms (4% of total)

ival-sub: 2.0ms (4% of total)

ival-sqrt: 2.0ms (4% of total)

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

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

series10.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

19 → 41

Calls

Call 1

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

Outputs
(pow x 3)
(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))))
(* x (+ 1 (* (pow x 2) (- (* -3/40 (pow x 2)) 1/6))))
(* -1/6 x)
(* x (- (* -3/40 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* -3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 2))
(sqrt (pow x 3))
(* -3/40 (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)))
(* 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)))))
(* -3/40 (pow x 5))
(* -1 (* (pow x 5) (+ 3/40 (* 1/6 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1 (pow x 4)) (+ 3/40 (* 1/6 (/ 1 (pow x 2))))))
(* -3/40 (pow x 3))
(* -1 (* (pow x 3) (+ 3/40 (* 1/6 (/ 1 (pow x 2))))))
(* -3/40 (pow x 4))
(* -1 (* (pow x 4) (+ 3/40 (* 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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* -3/40 (* (pow x 5) (pow (sqrt -1) 2)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 3/40 (pow (sqrt -1) 2)))))
(* -1 (* (pow x 5) (- (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 3/40 (pow (sqrt -1) 2))) (/ 1 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 3/40 (* 1/6 (/ 1 (pow x 2)))) (/ 1 (pow x 4)))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify198.0ms (3.5%)

Memory

-34.9MiB live, 198.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	440
1	345	424
2	1142	422
3	3746	421
0	8828	411

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

Calls

Call 1

Inputs
(pow x 3)
(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))))
(* x (+ 1 (* (pow x 2) (- (* -3/40 (pow x 2)) 1/6))))
(* -1/6 x)
(* x (- (* -3/40 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* -3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 2))
(sqrt (pow x 3))
(* -3/40 (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)))
(* 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)))))
(* -3/40 (pow x 5))
(* -1 (* (pow x 5) (+ 3/40 (* 1/6 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1 (pow x 4)) (+ 3/40 (* 1/6 (/ 1 (pow x 2))))))
(* -3/40 (pow x 3))
(* -1 (* (pow x 3) (+ 3/40 (* 1/6 (/ 1 (pow x 2))))))
(* -3/40 (pow x 4))
(* -1 (* (pow x 4) (+ 3/40 (* 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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* -3/40 (* (pow x 5) (pow (sqrt -1) 2)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 3/40 (pow (sqrt -1) 2)))))
(* -1 (* (pow x 5) (- (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 3/40 (pow (sqrt -1) 2))) (/ 1 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 3/40 (* 1/6 (/ 1 (pow x 2)))) (/ 1 (pow x 4)))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

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

rewrite330.0ms (5.8%)

Memory

-7.5MiB live, 482.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	260
0	51	222
1	172	221
2	1062	221
0	8602	215

Stop Event

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

Counts

19 → 785

Calls

Call 1

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

Outputs
(*.f64 (fabs.f64 (pow.f64 x #s(literal 5/2 binary64))) (sqrt.f64 x))
(.f64 (exp.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x))) (exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x))))
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) (fabs.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(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 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 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))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) 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))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 (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 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (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 x x (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (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 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (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) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 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)) (neg.f64 x))))
(.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (fma.f64 x (.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 5/2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
(.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (.f64 x (.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))) (.f64 (/.f64 (.f64 x 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)) (neg.f64 x))) (/.f64 (.f64 x 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)) (neg.f64 x))))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (.f64 x 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)) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (.f64 (pow.f64 x #s(literal 9 binary64)) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) (-.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
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(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (fma.f64 #s(literal 729/4096000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/80 binary64) #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/80 binary64) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal -1/80 binary64) #s(literal 1/36 binary64)) (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (neg.f64 x))
(.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (/.f64 (.f64 x x) (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 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 x (.f64 (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (.f64 x x)) (neg.f64 (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 (.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) x) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) x) x) (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 (.f64 x (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) x) (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 (neg.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (.f64 x x)) #s(literal 1 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 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) #s(literal 1 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 (.f64 x (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) x) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x)) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) x)) (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 x (.f64 x (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #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 (.f64 x x) (neg.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (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 x (.f64 x (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x))) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (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 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (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 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (.f64 x x)) (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 (.f64 x x) (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #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))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal -3/40 binary64))) (neg.f64 x))
(.f64 (fabs.f64 (.f64 (neg.f64 x) #s(literal 3/40 binary64))) x)
(.f64 (fabs.f64 (.f64 #s(literal 3/40 binary64) x)) x)
(.f64 (fabs.f64 (.f64 (neg.f64 x) #s(literal -3/40 binary64))) x)
(.f64 (fabs.f64 (.f64 #s(literal -3/40 binary64) x)) x)
(.f64 (.f64 (neg.f64 x) #s(literal -3/40 binary64)) x)
(.f64 (.f64 (neg.f64 x) #s(literal 3/40 binary64)) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -3/40 binary64))
(.f64 (.f64 #s(literal -3/40 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal 3/40 binary64) x) x)
(.f64 (neg.f64 x) (neg.f64 (.f64 (neg.f64 x) #s(literal -3/40 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3/40 binary64)))
(.f64 (neg.f64 x) (.f64 #s(literal -3/40 binary64) x))
(.f64 #s(literal -3/40 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 3/40 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 3/40 binary64) x)))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal -3/40 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal -3/40 binary64) x)))
(.f64 x (.f64 (neg.f64 x) #s(literal -3/40 binary64)))
(.f64 x (.f64 #s(literal 3/40 binary64) x))
(neg.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (.f64 #s(literal -3/40 binary64) (.f64 x x)))
(fabs.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) x)
(.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 3/40 binary64))) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal -3/40 binary64)) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal 3/40 binary64)) x)
(.f64 (.f64 (neg.f64 x) x) #s(literal 3/40 binary64))
(.f64 (.f64 #s(literal -3/40 binary64) x) x)
(.f64 (.f64 #s(literal 3/40 binary64) x) (neg.f64 x))
(.f64 (neg.f64 x) (neg.f64 (.f64 (neg.f64 x) #s(literal 3/40 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -3/40 binary64)))
(.f64 (neg.f64 x) (.f64 #s(literal 3/40 binary64) x))
(.f64 #s(literal -3/40 binary64) (.f64 x x))
(.f64 #s(literal 3/40 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal -3/40 binary64))
(.f64 x (.f64 (neg.f64 x) #s(literal 3/40 binary64)))
(.f64 x (.f64 #s(literal -3/40 binary64) x))
(neg.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)))

eval148.0ms (2.6%)

Memory: 0.2MiB live, 184.9MiB allocated
Compiler: Compiled 23 312 to 2 637 computations (88.7% saved)

prune17.0ms (0.3%)

Memory

8.2MiB live, 52.9MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	573	2	575
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	576	6	582

Accuracy

100.0%

Counts

582 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	25.4%	(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)
✓	54.4%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)
	54.5%	(copysign.f64 #s(approx (asinh x) (fma.f64 #s(approx (* (- (* -3/40 (* x x)) 1/6) (* x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x))) x x)) x)
	54.5%	(copysign.f64 #s(approx (asinh x) (fma.f64 #s(approx (* (- (* -3/40 (* x x)) 1/6) x) (.f64 #s(literal -1/6 binary64) x)) (.f64 x x) x)) x)

Compiler

Compiled 448 to 192 computations (57.1% saved)

regimes9.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
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)

regimes4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -15.1b remaining (-51.9%)

Threshold costs -15.1b (-51.9%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
54.5%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify14.0ms (0.3%)

Memory

-23.0MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	27
1	25	27
2	49	27
3	85	27
4	120	27
5	146	27
6	165	27
7	170	27

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness660.0ms (11.6%)

Memory

11.7MiB live, 490.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	440
1	345	424
2	1142	422
3	3746	421
0	8828	411
0	32	197
0	47	179
1	154	179
2	1043	108
0	9520	108
0	253	1198
1	869	1099
2	3329	1058
0	8407	1009
0	9	44
0	16	32
1	56	24
2	375	18
3	4916	18
0	8251	17

Stop Event

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

Compiler

Compiled 100 to 66 computations (34% saved)

preprocess76.0ms (1.3%)

Memory: 4.8MiB live, 49.1MiB allocated
Compiler: Compiled 118 to 72 computations (39% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample820.0ms (14.4%)

explain272.0ms (4.8%)

preprocess16.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize88.0ms (1.6%)

series5.0ms (0.1%)

simplify149.0ms (2.6%)

rewrite230.0ms (4.1%)

eval148.0ms (2.6%)

prune19.0ms (0.3%)

simplify229.0ms (4%)

localize396.0ms (7%)

series98.0ms (1.7%)

simplify260.0ms (4.6%)

rewrite237.0ms (4.2%)

eval310.0ms (5.5%)

prune9.0ms (0.2%)

simplify121.0ms (2.1%)

localize180.0ms (3.2%)

series7.0ms (0.1%)

simplify236.0ms (4.1%)

rewrite102.0ms (1.8%)

eval73.0ms (1.3%)

prune10.0ms (0.2%)

simplify92.0ms (1.6%)

localize103.0ms (1.8%)

series10.0ms (0.2%)

simplify198.0ms (3.5%)

rewrite330.0ms (5.8%)

eval148.0ms (2.6%)

prune17.0ms (0.3%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

simplify14.0ms (0.3%)

soundness660.0ms (11.6%)

preprocess76.0ms (1.3%)

end0.0ms (0%)

Profiling