Metrics for Rust f64::asinh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample717.0ms (14%)

Memory

22.9MiB live, 873.9MiB allocated; 126ms collecting garbage

Samples

477.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-asinh: 104.0ms (89.8% of total)

ival-true: 6.0ms (5.2% of total)

ival-assert: 3.0ms (2.6% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

explain308.0ms (6%)

Memory

40.6MiB live, 464.9MiB allocated; 59ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	146	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	61	0
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	61

Confusion

	Predicted +	Predicted -
+	207	0
-	0	49

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	207	0	0
-	0	0	49

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	49
1	207

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

112.0ms	110×	2	valid
48.0ms	224×	0	valid
44.0ms	178×	1	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-add: 60.0ms (34.5% of total)

ival-log: 44.0ms (25.3% of total)

ival-hypot: 27.0ms (15.5% of total)

ival-copysign: 23.0ms (13.2% of total)

adjust: 12.0ms (6.9% of total)

ival-mult: 4.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess49.0ms (1%)

Memory

-18.2MiB live, 36.1MiB allocated; 26ms collecting garbage

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: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.2%	(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)

simplify0.0ms (0%)

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

series28.0ms (0.6%)

Memory

-19.6MiB live, 22.4MiB allocated; 17ms collecting garbage

Counts

9 → 39

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 (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)
x
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ 1 (pow x 2))
(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)))))
(* 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))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms	x	@	0	((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 (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms	x	@	inf	((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 (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

24.0ms

-inf

((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 (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

2.0ms

((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 (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

2.0ms

inf

((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 (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

simplify176.0ms (3.4%)

Memory

29.9MiB live, 214.7MiB allocated; 53ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	586
1	568	548
2	2204	530
0	8571	490

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

Inputs
(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)
x
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ 1 (pow x 2))
(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)))))
(* 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))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

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

rewrite234.0ms (4.6%)

Memory

5.3MiB live, 238.9MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	36
1	56	28
2	375	23
3	4919	23
0	8259	22

Stop Event

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

Counts

9 → 598

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 (asinh.f64 x) x)
(asinh.f64 x)
(/.f64 (-.f64 (.f64 (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x)) (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x))) (.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))))) (log.f64 (.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x (sin.f64 (acos.f64 x))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))))) (log.f64 (.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x)) (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x)) (fma.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (*.f64 (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x)) (log.f64 (-.f64 x (sin.f64 (acos.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) (.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x)))))))
(neg.f64 (asinh.f64 x))
(-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 (asinh.f64 x))) (/.f64 (.f64 x x) (exp.f64 (asinh.f64 x)))) (.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (asinh.f64 x))) (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (asinh.f64 x)))))) (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))))
(-.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)))) (.f64 (/.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (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)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)))))) (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (exp.f64 (asinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (asinh.f64 x))) #s(literal 3 binary64)))) (log.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 (asinh.f64 x))) (/.f64 (.f64 x x) (exp.f64 (asinh.f64 x))) (fma.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (asinh.f64 x))) (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (asinh.f64 x))) (.f64 (/.f64 (*.f64 x x) (exp.f64 (asinh.f64 x))) (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (asinh.f64 x))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) #s(literal 3 binary64)))) (log.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (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)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64))))) (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (sin.f64 (acos.f64 x)))) (.f64 (-.f64 x (sin.f64 (acos.f64 x))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (.f64 (-.f64 x (sin.f64 (acos.f64 x))) (-.f64 x (sin.f64 (acos.f64 x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)) (.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64))))) (log.f64 (.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (neg.f64 (exp.f64 (asinh.f64 x)))))
(-.f64 (asinh.f64 (*.f64 x x)) (asinh.f64 x))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sin.f64 (acos.f64 x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 6 binary64)))) (log.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (sin.f64 (acos.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 6 binary64)))) (log.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (log.f64 (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 6 binary64))) (pow.f64 (hypot.f64 (.f64 x x) x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x)) (log.f64 (neg.f64 (exp.f64 (asinh.f64 x)))))
(-.f64 (+.f64 (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))) (asinh.f64 x)) (log.f64 (-.f64 x (sin.f64 (acos.f64 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (asinh.f64 x))
(+.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64))))) (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))))
(+.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))) (log.f64 (-.f64 (.f64 x x) (*.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x))))))
(+.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (log.f64 (fma.f64 (.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x))) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)))) (asinh.f64 x))
(+.f64 (log.f64 (+.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (log.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))))
(+.f64 (log.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x))) (log.f64 (/.f64 (exp.f64 (asinh.f64 x)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)))))
(+.f64 (asinh.f64 x) (log.f64 (/.f64 (-.f64 x (sin.f64 (acos.f64 x))) (-.f64 x (sin.f64 (acos.f64 x))))))
(log.f64 (exp.f64 (asinh.f64 x)))
(.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x))) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (exp.f64 (asinh.f64 x)))
(*.f64 (+.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(.f64 (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (.f64 x x)) (/.f64 (exp.f64 (asinh.f64 x)) (fma.f64 (exp.f64 (asinh.f64 x)) (sin.f64 (acos.f64 x)) (*.f64 x x))))
(*.f64 (exp.f64 (asinh.f64 x)) (/.f64 (-.f64 x (sin.f64 (acos.f64 x))) (-.f64 x (sin.f64 (acos.f64 x)))))
(pow.f64 (exp.f64 (asinh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 (asinh.f64 x))) (/.f64 (.f64 x x) (exp.f64 (asinh.f64 x)))) (.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (asinh.f64 x))) (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (asinh.f64 x))))) (-.f64 x (sin.f64 (acos.f64 x))))
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(hypot.f64 (fabs.f64 (hypot.f64 (*.f64 x x) x)) (pow.f64 (sqrt.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))
(hypot.f64 (fabs.f64 (hypot.f64 (*.f64 x x) x)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 (acos.f64 x)))) #s(literal 1 binary64)))
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(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1 binary64)))
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(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log1p.f64 (.f64 x x))) (sinh.f64 (log1p.f64 (.f64 x x))))
(+.f64 (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 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 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 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x (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 (pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) x)
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x x))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)

eval242.0ms (4.7%)

Memory: -11.9MiB live, 185.0MiB allocated; 18ms collecting garbage
Compiler: Compiled 13 441 to 3 048 computations (77.3% saved)

prune28.0ms (0.6%)

Memory

-14.0MiB live, 32.7MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	582	4	586
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	583	4	587

Accuracy

100.0%

Counts

587 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
▶	24.3%	(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)
▶	59.3%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)

Compiler

Compiled 71 to 48 computations (32.4% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series155.0ms (3%)

Memory

5.0MiB live, 101.3MiB allocated; 51ms collecting garbage

Counts

23 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
79.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) 1/2 (+ 1 (fabs x)) 1 (fabs x) x (log (+ 1 (fabs x))) (copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) (neg x)) (neg x))
51.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) 1/2 (+ 1 (fabs x)) 1 (fabs x) x (log (+ 1 (fabs x))) (copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) (neg x)) (neg x))
24.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) 1/2 (+ 1 (fabs x)) 1 (fabs x) x (log (+ 1 (fabs x))) (copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) (neg x)) (neg x))

Time

Variable

Point

Expression

79.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) 1/2 (+ 1 (fabs x)) 1 (fabs x) x (log (+ 1 (fabs x))) (copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) (neg x)) (neg x))

51.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) 1/2 (+ 1 (fabs x)) 1 (fabs x) x (log (+ 1 (fabs x))) (copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) (neg x)) (neg x))

24.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) 1/2 (+ 1 (fabs x)) 1 (fabs x) x (log (+ 1 (fabs x))) (copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) (neg x)) (neg x))

simplify243.0ms (4.8%)

Memory

6.9MiB live, 237.6MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	710
1	657	667
2	2430	640
0	8432	603

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

Outputs
(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 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) 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)))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
(* x (+ 1 (* -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)
(+ 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)))
(+ x (fabs x))
(+.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (+.f64 (/.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)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (/.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 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 (- (/ (fabs x) x) 1))
(*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) 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)))
(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 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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 (* 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 (/ (fabs x) x)) 1)))
(*.f64 (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))

rewrite178.0ms (3.5%)

Memory

1.9MiB live, 198.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	229
0	48	199
1	146	191
2	952	128
0	9452	128

Stop Event

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

Counts

23 → 292

Calls

Call 1

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

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

eval102.0ms (2%)

Memory: -9.4MiB live, 132.1MiB allocated; 21ms collecting garbage
Compiler: Compiled 11 107 to 1 771 computations (84.1% saved)

prune6.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	331	4	335
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	334	5	339

Accuracy

100.0%

Counts

339 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
▶	23.7%	(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)
▶	6.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)
▶	58.8%	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) x)

Compiler

Compiled 98 to 64 computations (34.7% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series16.0ms (0.3%)

Memory

-11.9MiB live, 34.4MiB allocated; 3ms collecting garbage

Counts

26 → 50

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) -1/6) x) (pow x 3) x 3 -1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (* (/ x (+ 1 (fabs x))) 1/2) x) (* (/ x (+ 1 (fabs x))) 1/2) (/ x (+ 1 (fabs x))) (+ 1 (fabs x)) 1 (fabs x) 1/2 (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)) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x))
4.0ms	x	@	0	((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) -1/6) x) (pow x 3) x 3 -1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (* (/ x (+ 1 (fabs x))) 1/2) x) (* (/ x (+ 1 (fabs x))) 1/2) (/ x (+ 1 (fabs x))) (+ 1 (fabs x)) 1 (fabs x) 1/2 (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)) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x))
4.0ms	x	@	inf	((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) -1/6) x) (pow x 3) x 3 -1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (* (/ x (+ 1 (fabs x))) 1/2) x) (* (/ x (+ 1 (fabs x))) 1/2) (/ x (+ 1 (fabs x))) (+ 1 (fabs x)) 1 (fabs x) 1/2 (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)) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x))

Time

Variable

Point

Expression

7.0ms

-inf

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

4.0ms

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

4.0ms

inf

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

simplify317.0ms (6.2%)

Memory

-3.5MiB live, 343.8MiB allocated; 170ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	726
1	664	683
2	2455	656
0	8471	619

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

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

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 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) 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)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64))
(/ x (+ 1 (fabs x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (.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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) #s(literal -1/2 binary64)) (log.f64 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(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)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (/.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) 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)
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(neg.f64 (+.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.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))

rewrite139.0ms (2.7%)

Memory

24.5MiB live, 260.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	309
0	62	285
1	188	277
2	1251	188
0	9733	179

Stop Event

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

Counts

26 → 238

Calls

Call 1

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

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))))))
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(.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) x)))
(.f64 x (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) x)) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 x x) x) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 x x) x) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (.f64 x x) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 x x) x) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 x x) x) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (.f64 x x) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))))))
(/.f64 x (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x))))
(/.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 x (+.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (-.f64 (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (.f64 (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 x x)) x #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 x x) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (fabs.f64 (/.f64 x x)) #s(literal 1 binary64))
(fma.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 x x) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (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) (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
#s(literal 1/2 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) #s(literal 0 binary64)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) #s(literal 0 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) #s(literal 0 binary64)))
#s(approx (+ (* (/ (fabs x) x) x) (neg x)) #s(literal 0 binary64))
#s(literal 0 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)

eval99.0ms (1.9%)

Memory: -2.2MiB live, 183.4MiB allocated; 25ms collecting garbage
Compiler: Compiled 17 145 to 2 470 computations (85.6% saved)

prune65.0ms (1.3%)

Memory

18.8MiB live, 64.1MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	552	9	561
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	554	12	566

Accuracy

100.0%

Counts

566 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	23.7%	(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)
▶	6.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) x)) x))) x)
	6.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) x)) (.f64 x x)))) x)
	3.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)
	6.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) x))) x)
▶	3.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x))) x)
▶	6.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) x)) x) x))) x)
	58.8%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
▶	58.8%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) x)
▶	58.8%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)

Compiler

Compiled 619 to 379 computations (38.8% saved)

simplify0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

series64.0ms (1.3%)

Memory

-52.2MiB live, 53.9MiB allocated; 30ms collecting garbage

Counts

37 → 110

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

-inf

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

17.0ms

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

5.0ms

inf

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

simplify252.0ms (4.9%)

Memory

45.5MiB live, 296.4MiB allocated; 106ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	1427
1	1114	1287
2	3846	1262
0	8466	1192

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 109

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

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

rewrite212.0ms (4.2%)

Memory

11.6MiB live, 214.3MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	480
0	76	393
1	236	387
2	1551	387
0	9151	354

Stop Event

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

Counts

37 → 707

Calls

Call 1

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

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (sqrt.f64 x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (.f64 (/.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (/.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (.f64 x x)))) (+.f64 x (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) (+.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))))) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (/.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (.f64 x x)) (.f64 x (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x) (.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (.f64 x x))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval392.0ms (7.7%)

Memory: -0.3MiB live, 384.5MiB allocated; 82ms collecting garbage
Compiler: Compiled 42 064 to 5 610 computations (86.7% saved)

prune73.0ms (1.4%)

Memory

9.4MiB live, 152.7MiB allocated; 20ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1 126	14	1 140
Fresh	3	1	4
Picked	4	1	5
Done	0	3	3
Total	1 133	19	1 152

Accuracy

100.0%

Counts

1 152 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	23.7%	(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)
	4.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) x)
	3.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x)
	6.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)) (.f64 x x)))) x)
	2.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x x) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x)
	5.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) x))) x)
	6.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) x))) x)
✓	3.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x))) x)
	3.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x))) x)
	3.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) x)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) x)
	6.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) x) x))) x)
	3.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)) x))) x)
	13.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 #s(approx (/ -1/2 (+ -1 x)) (/.f64 #s(literal -1/2 binary64) x)) x) x))) x)
	13.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 #s(approx ( (/ x (+ (* (sqrt x) (sqrt x)) 1)) 1/2) #s(literal 1/2 binary64)) x))) x)
	5.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) #s(approx (* (/ (* 1/2 x) (+ 1 x)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))))) x)
	5.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ -1/2 (+ -1 x)) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))) x)
	58.8%	(copysign.f64 #s(approx (asinh x) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) x)

Compiler

Compiled 1 778 to 663 computations (62.7% saved)

regimes41.0ms (0.8%)

Memory

-6.2MiB live, 37.8MiB allocated; 10ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	x
7.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.8%	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)

regimes43.0ms (0.8%)

Memory

-28.9MiB live, 27.2MiB allocated; 14ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
7.0ms	x

Results

Accuracy	Segments	Branch
58.8%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
58.8%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Accuracy

Total -4.9b remaining (-8.8%)

Threshold costs -4.9b (-8.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
13.0%	1	`x`
13.0%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify27.0ms (0.5%)

Memory

-17.0MiB live, 27.9MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	58
1	58	55
2	152	55
3	471	55
4	912	55
5	989	55
6	993	55
7	993	55

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations823.0ms (16.1%)

Memory

19.8MiB live, 866.8MiB allocated; 144ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	586
1	568	548
2	2204	530
0	8571	490
0	9	49
0	16	36
1	56	28
2	375	23
3	4919	23
0	8259	22
0	50	480
0	76	393
1	236	387
2	1551	387
0	9151	354
0	43	309
0	62	285
1	188	277
2	1251	188
0	9733	179
0	340	1427
1	1114	1287
2	3846	1262
0	8466	1192
0	208	710
1	657	667
2	2430	640
0	8432	603

Stop Event

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

Compiler

Compiled 62 to 36 computations (41.9% saved)

preprocess75.0ms (1.5%)

Memory: -5.2MiB live, 140.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 188 to 110 computations (41.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample717.0ms (14%)

explain308.0ms (6%)

preprocess49.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series28.0ms (0.6%)

simplify176.0ms (3.4%)

rewrite234.0ms (4.6%)

eval242.0ms (4.7%)

prune28.0ms (0.6%)

simplify0.0ms (0%)

series155.0ms (3%)

simplify243.0ms (4.8%)

rewrite178.0ms (3.5%)

eval102.0ms (2%)

prune6.0ms (0.1%)

simplify0.0ms (0%)

series16.0ms (0.3%)

simplify317.0ms (6.2%)

rewrite139.0ms (2.7%)

eval99.0ms (1.9%)

prune65.0ms (1.3%)

simplify0.0ms (0%)

series64.0ms (1.3%)

simplify252.0ms (4.9%)

rewrite212.0ms (4.2%)

eval392.0ms (7.7%)

prune73.0ms (1.4%)

regimes41.0ms (0.8%)

regimes43.0ms (0.8%)

regimes3.0ms (0.1%)

simplify27.0ms (0.5%)

derivations823.0ms (16.1%)

preprocess75.0ms (1.5%)

end0.0ms (0%)

Profiling