Metrics for Rust f64::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample700.0ms (12%)

Memory

-36.1MiB live, 867.3MiB allocated

Samples

452.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-asinh: 212.0ms (95.9% of total)

ival-true: 6.0ms (2.7% of total)

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

Bogosity

explain292.0ms (5%)

Memory

16.6MiB live, 258.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
133	1	(-0.002793552294091778)	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
52	0	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(fabs.f64 x)`
0	0	-	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	0	-	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	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	134	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	52	0
↳	`(*.f64 x x)`	overflow	52
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	52

Confusion

	Predicted +	Predicted -
+	185	0
-	1	70

Precision

0.9946236559139785

Recall

1.0

Confusion?

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

Precision?

0.9946236559139785

Recall?

1.0

Freqs

test

number	freq
0	70
1	186

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms	94×	2	valid
46.0ms	252×	0	valid
39.0ms	166×	1	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-log: 85.0ms (63.2% of total)

ival-hypot: 20.0ms (14.9% of total)

ival-copysign: 7.0ms (5.2% of total)

adjust: 7.0ms (5.2% of total)

ival-add: 7.0ms (5.2% of total)

ival-mult: 4.0ms (3% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess14.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

series6.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

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
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)
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

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)

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)

simplify265.0ms (4.5%)

Memory

-17.6MiB live, 219.2MiB allocated

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))

rewrite378.0ms (6.5%)

Memory

-0.1MiB live, 275.0MiB allocated

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)))
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(hypot.f64 (neg.f64 (sin.f64 (acos.f64 x))) (*.f64 x (neg.f64 (sin.f64 (acos.f64 x)))))
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(hypot.f64 (neg.f64 (sin.f64 (acos.f64 x))) (hypot.f64 (*.f64 x x) x))
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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)

eval230.0ms (3.9%)

Memory: 17.1MiB live, 268.3MiB allocated
Compiler: Compiled 13 441 to 3 048 computations (77.3% saved)

prune35.0ms (0.6%)

Memory

1.6MiB live, 47.2MiB allocated

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
▶	26.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
▶	27.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))) x)
▶	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	54.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #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)))) x)

Compiler

Compiled 118 to 68 computations (42.4% saved)

simplify0.0ms (0%)

Memory: 1.3MiB live, 1.3MiB allocated

series190.0ms (3.3%)

Memory

-4.6MiB live, 136.1MiB allocated

Counts

43 → 71

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #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)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #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))))
(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)))
(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))))
(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 #s(literal 1/720 binary64) (.f64 x x))
#s(literal 1/720 binary64)
(*.f64 x x)
x
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #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 #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 (/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64))
(/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 30 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
#s(literal 45 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal -45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal -45 binary64)
(*.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 (+.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 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 3 binary64)
#s(literal -1/24 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(log1p.f64 (fabs.f64 x))
(copysign.f64 (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)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))
(* 1/720 (pow x 2))
(pow x 2)
x
(+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x))))))
(/ (+ 45 (* 30 (/ 1 (+ 1 (fabs x))))) (pow (+ 1 (fabs x)) 2))
(+ 45 (* 30 (/ 1 (+ 1 (fabs x)))))
(/ 30 (+ 1 (fabs x)))
(+ 1 (fabs x))
(fabs x)
(pow (+ 1 (fabs x)) 2)
(/ -45 (+ 1 (fabs x)))
(/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))
(+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))
(/ 3 (+ 1 (fabs 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))))
(* 1/720 (* (pow x 6) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))
(* (pow x 6) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (* 1/720 (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))
(* (pow x 6) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (+ (* 1/720 (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (/ 1/2 (* (pow x 4) (+ 1 (fabs x)))))))
(* (pow x 6) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (+ (* 1/720 (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (fabs x))))) (/ (log (+ 1 (fabs x))) (pow x 6))))))
(* 1/720 (* (pow x 4) (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x))))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (* 1/720 (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x)))))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (+ (* 1/720 (+ (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 45 (/ 1 (+ 1 (fabs x))))))) (/ 1/2 (* (pow x 4) (+ 1 (fabs x)))))))
(* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (* (pow x 2) (+ 1 (fabs x))))) (* 1/720 (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))
(+ (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
99.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x))))) (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24)) (* x x)) (/ 1/2 (+ 1 (fabs x)))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x))))) (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24)) (* x x)) (/ 1/2 (+ 1 (fabs x)))) (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x))))) (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24)) (* 1/720 (* x x)) 1/720 (* x x) x (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x)))) (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (+ (/ 30 (+ 1 (fabs x))) 45) (/ 30 (+ 1 (fabs x))) 30 (+ 1 (fabs x)) 1 (fabs x) 45 (pow (+ 1 (fabs x)) 2) 2 (/ -45 (+ 1 (fabs x))) -45 (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24) (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) (+ (/ 3 (+ 1 (fabs x))) 3) (/ 3 (+ 1 (fabs x))) 3 -1/24 (/ 1/2 (+ 1 (fabs x))) 1/2 (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))
55.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x))))) (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24)) (* x x)) (/ 1/2 (+ 1 (fabs x)))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x))))) (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24)) (* x x)) (/ 1/2 (+ 1 (fabs x)))) (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x))))) (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24)) (* 1/720 (* x x)) 1/720 (* x x) x (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x)))) (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (+ (/ 30 (+ 1 (fabs x))) 45) (/ 30 (+ 1 (fabs x))) 30 (+ 1 (fabs x)) 1 (fabs x) 45 (pow (+ 1 (fabs x)) 2) 2 (/ -45 (+ 1 (fabs x))) -45 (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24) (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) (+ (/ 3 (+ 1 (fabs x))) 3) (/ 3 (+ 1 (fabs x))) 3 -1/24 (/ 1/2 (+ 1 (fabs x))) 1/2 (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))
33.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x))))) (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24)) (* x x)) (/ 1/2 (+ 1 (fabs x)))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x))))) (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24)) (* x x)) (/ 1/2 (+ 1 (fabs x)))) (+ (* (* 1/720 (* x x)) (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x))))) (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24)) (* 1/720 (* x x)) 1/720 (* x x) x (- (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (/ -45 (+ 1 (fabs x)))) (/ (+ (/ 30 (+ 1 (fabs x))) 45) (pow (+ 1 (fabs x)) 2)) (+ (/ 30 (+ 1 (fabs x))) 45) (/ 30 (+ 1 (fabs x))) 30 (+ 1 (fabs x)) 1 (fabs x) 45 (pow (+ 1 (fabs x)) 2) 2 (/ -45 (+ 1 (fabs x))) -45 (* (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) -1/24) (/ (+ (/ 3 (+ 1 (fabs x))) 3) (+ 1 (fabs x))) (+ (/ 3 (+ 1 (fabs x))) 3) (/ 3 (+ 1 (fabs x))) 3 -1/24 (/ 1/2 (+ 1 (fabs x))) 1/2 (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

99.0ms

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

55.0ms

-inf

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

33.0ms

inf

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

simplify523.0ms (9%)

Memory

-26.1MiB live, 222.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1456
1	880	1335
2	3482	1272
0	8262	1219

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 70

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

rewrite189.0ms (3.2%)

Memory

33.8MiB live, 415.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	578
0	83	548
1	290	540
2	2210	425
0	8437	425

Stop Event

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

Counts

43 → 623

Calls

Call 1

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

eval449.0ms (7.7%)

Memory: 26.3MiB live, 902.0MiB allocated
Compiler: Compiled 104 496 to 8 766 computations (91.6% saved)

prune23.0ms (0.4%)

Memory

-4.3MiB live, 89.7MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 450	3	1 453
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	1 453	4	1 457

Accuracy

100.0%

Counts

1 457 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
▶	26.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	54.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)) x)

Compiler

Compiled 69 to 47 computations (31.9% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

series31.0ms (0.5%)

Memory

7.1MiB live, 52.7MiB allocated

Counts

25 → 60

Calls

Call 1

Inputs
(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)) x)
#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 3/40 binary64) x)
#s(literal 3/40 binary64)
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -5/112 binary64)
#s(literal 1/6 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
(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)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(* 3/40 x)
(- (* -5/112 (pow x 4)) 1/6)
(* -5/112 (pow x 4))
(pow x 4)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
(+ (fabs x) (* -1 x))
(* 2 x)
(+ (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)))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 4) (+ 5/112 (* 1/6 (/ 1 (pow x 4))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(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 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -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
25.0ms	x	@	inf	((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6))) x) (pow x 3) x 3 (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6)) (* 3/40 x) 3/40 (- (* (pow x 4) -5/112) 1/6) (* (pow x 4) -5/112) (pow x 4) 4 -5/112 1/6 (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) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x))
3.0ms	x	@	-inf	((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6))) x) (pow x 3) x 3 (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6)) (* 3/40 x) 3/40 (- (* (pow x 4) -5/112) 1/6) (* (pow x 4) -5/112) (pow x 4) 4 -5/112 1/6 (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) (fabs 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))
2.0ms	x	@	0	((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6))) x) (pow x 3) x 3 (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6)) (* 3/40 x) 3/40 (- (* (pow x 4) -5/112) 1/6) (* (pow x 4) -5/112) (pow x 4) 4 -5/112 1/6 (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) (fabs 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

25.0ms

inf

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6))) x) (pow x 3) x 3 (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6)) (* 3/40 x) 3/40 (- (* (pow x 4) -5/112) 1/6) (* (pow x 4) -5/112) (pow x 4) 4 -5/112 1/6 (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) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x))

3.0ms

-inf

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6))) x) (pow x 3) x 3 (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6)) (* 3/40 x) 3/40 (- (* (pow x 4) -5/112) 1/6) (* (pow x 4) -5/112) (pow x 4) 4 -5/112 1/6 (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) (fabs 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))

2.0ms

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6))) x) (pow x 3) x 3 (+ (* (* 3/40 x) x) (- (* (pow x 4) -5/112) 1/6)) (* 3/40 x) 3/40 (- (* (pow x 4) -5/112) 1/6) (* (pow x 4) -5/112) (pow x 4) 4 -5/112 1/6 (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) (fabs 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))

simplify217.0ms (3.7%)

Memory

9.4MiB live, 258.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	838
1	730	795
2	2659	764
0	8425	724

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(* 3/40 x)
(- (* -5/112 (pow x 4)) 1/6)
(* -5/112 (pow x 4))
(pow x 4)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
(+ (fabs x) (* -1 x))
(* 2 x)
(+ (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)))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 4) (+ 5/112 (* 1/6 (/ 1 (pow x 4))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(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 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -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 (*.f64 #s(literal 3/40 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) #s(literal -1/6 binary64))) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) #s(literal -1/6 binary64)))
(* 3/40 x)
(*.f64 #s(literal 3/40 binary64) x)
(- (* -5/112 (pow x 4)) 1/6)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) #s(literal -1/6 binary64))
(* -5/112 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 45 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)) (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 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (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))))
(* -5/112 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -5/112 binary64))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/40 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(fma.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))
(* -1 (* (pow x 4) (+ 5/112 (* 1/6 (/ 1 (pow x 4))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) #s(literal -1/6 binary64))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) #s(literal -1/2 binary64)) (log.f64 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f64 (/.f64 (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) #s(literal -1/2 binary64)) (log.f64 x)))
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 (/.f64 (fabs.f64 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (fabs x) x) 1))
(*.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x)
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -3/40 binary64) (.f64 x x)) #s(literal -1 binary64) #s(literal -5/112 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/40 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -5/112 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(neg.f64 (+.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 (/.f64 (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) x) #s(literal -1/6 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) x (neg.f64 x))

rewrite192.0ms (3.3%)

Memory

-11.3MiB live, 268.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	240
0	54	222
1	188	222
2	1371	148
0	9199	148

Stop Event

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

Counts

25 → 245

Calls

Call 1

Inputs
(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)) x)
#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 3/40 binary64) x)
#s(literal 3/40 binary64)
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -5/112 binary64)
#s(literal 1/6 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
(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 (asinh x) (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)) x)
#s(approx (asinh x) (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x))
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(+.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))) (/.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
(+.f64 (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(*.f64 #s(literal 3/40 binary64) x)
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) (/.f64 (.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) (.f64 (/.f64 (*.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -125/1404928 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -125/1404928 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))) (/.f64 (.f64 #s(literal -125/1404928 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))) (fma.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))) (.f64 (/.f64 (*.f64 #s(literal -125/1404928 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -125/1404928 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (pow.f64 (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -125/1404928 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))) (*.f64 (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64))) #s(literal 1/216 binary64))) (pow.f64 (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/36 binary64))) (neg.f64 (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -125/1404928 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/36 binary64)) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -125/1404928 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal -125/1404928 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/672 binary64) #s(literal 1/36 binary64)))))
(-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal -5/112 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -5/112 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
#s(literal 4 binary64)
#s(literal -5/112 binary64)
#s(literal 1/6 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) #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)
(*.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 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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
(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)

eval205.0ms (3.5%)

Memory: 22.5MiB live, 233.9MiB allocated
Compiler: Compiled 17 956 to 2 488 computations (86.1% saved)

prune699.0ms (12%)

Memory

-41.5MiB live, 68.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	550	1	551
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	551	4	555

Accuracy

100.0%

Counts

555 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	26.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	54.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x)) x)

Compiler

Compiled 71 to 47 computations (33.8% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

series15.0ms (0.3%)

Memory

-87.8MiB live, 17.4MiB allocated

Counts

15 → 38

Calls

Call 1

Inputs
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x)) x)
#s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x)
(.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x))
(fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal 3/40 binary64) x)
#s(literal 3/40 binary64)
x
(-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -5/112 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)

Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(* 3/40 x)
(- (* -5/112 (pow x 4)) 1/6)
(* -5/112 (pow x 4))
(pow x 4)
(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)))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 4) (+ 5/112 (* 1/6 (/ 1 (pow x 4))))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

inf

((copysign (asinh x) x) (asinh x) (+ (* (* (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (* x x)) x) x) (* (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (* x x)) (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (* 3/40 x) 3/40 x (- (* -5/112 (pow x 4)) 1/6) (* -5/112 (pow x 4)) -5/112 (pow x 4) 4 1/6 (* x x))

2.0ms

-inf

((copysign (asinh x) x) (asinh x) (+ (* (* (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (* x x)) x) x) (* (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (* x x)) (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (* 3/40 x) 3/40 x (- (* -5/112 (pow x 4)) 1/6) (* -5/112 (pow x 4)) -5/112 (pow x 4) 4 1/6 (* x x))

1.0ms

((copysign (asinh x) x) (asinh x) (+ (* (* (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (* x x)) x) x) (* (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (* x x)) (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (* 3/40 x) 3/40 x (- (* -5/112 (pow x 4)) 1/6) (* -5/112 (pow x 4)) -5/112 (pow x 4) 4 1/6 (* x x))

simplify141.0ms (2.4%)

Memory

29.2MiB live, 219.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	448
1	267	440
2	738	430
3	2436	428
4	6779	428
0	8022	414

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

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) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(* 3/40 x)
(- (* -5/112 (pow x 4)) 1/6)
(* -5/112 (pow x 4))
(pow x 4)
(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)))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 4) (+ 5/112 (* 1/6 (/ 1 (pow x 4))))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

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 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(* 3/40 x)
(*.f64 #s(literal 3/40 binary64) x)
(- (* -5/112 (pow x 4)) 1/6)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) #s(literal -1/6 binary64))
(* -5/112 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -5/112 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -5/112 binary64))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/40 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -5/112 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/112 binary64))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(fma.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))
(* -1 (* (pow x 4) (+ 5/112 (* 1/6 (/ 1 (pow x 4))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) #s(literal -1/6 binary64))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -5/112 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/40 binary64) (.f64 x x))))))

rewrite210.0ms (3.6%)

Memory

-10.9MiB live, 217.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	119
0	27	119
1	97	116
2	690	116
0	8627	113

Stop Event

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

Counts

15 → 333

Calls

Call 1

Inputs
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x)) x)
#s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x)
(.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x))
(fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal 3/40 binary64) x)
#s(literal 3/40 binary64)
x
(-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -5/112 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)

Outputs
(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)) x)
#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64)) #s(literal 1 binary64))))
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(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
#s(literal 4 binary64)
#s(literal 1/6 binary64)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 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))))

eval79.0ms (1.3%)

Memory: 20.7MiB live, 165.0MiB allocated
Compiler: Compiled 18 174 to 2 551 computations (86% saved)

prune36.0ms (0.6%)

Memory

-19.3MiB live, 26.4MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	469	3	472
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	470	6	476

Accuracy

100.0%

Counts

476 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	26.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
	54.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(approx (+ ( (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x)) x x)) x)
	54.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(approx (+ ( (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x)) x x)) x)
	54.1%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(approx (+ ( (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) x)

Compiler

Compiled 460 to 214 computations (53.5% saved)

regimes8.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(approx (+ ( (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(approx (+ ( (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x)) x x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(approx (+ ( (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x)) x x)) x)
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (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 (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x)) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (+.f64 #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)))) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	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)

regimes3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

3 → 1

Calls

Call 1

Inputs

(copysign.f64 #s(approx (asinh x) (fma.f64 (*.f64 #s(approx (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) x)

(copysign.f64 #s(approx (asinh x) (fma.f64 (*.f64 #s(approx (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x)) x x)) x)

(copysign.f64 #s(approx (asinh x) (fma.f64 (*.f64 #s(approx (+ (* (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x)) x x)) x)

Outputs
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(approx (+ ( (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) #s(literal -1/6 binary64)) (*.f64 x x)) x 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
54.1%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
54.1%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify13.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	31
1	29	31
2	51	31
3	115	31
4	249	31
5	316	31
6	319	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(approx (+ ( (* 3/40 x) x) (- (* -5/112 (pow x 4)) 1/6)) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) x)

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

soundness625.0ms (10.7%)

Memory

-2.8MiB live, 601.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	240
0	54	222
1	188	222
2	1371	148
0	9199	148
0	256	1456
1	880	1335
2	3482	1272
0	8262	1219
0	9	49
0	16	36
1	56	28
2	375	23
3	4919	23
0	8259	22
0	103	448
1	267	440
2	738	430
3	2436	428
4	6779	428
0	8022	414

Stop Event

1×	fuel
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×	node limit
1×	iter limit

Compiler

Compiled 108 to 72 computations (33.3% saved)

preprocess71.0ms (1.2%)

Memory: -22.3MiB live, 174.7MiB allocated
Compiler: Compiled 126 to 80 computations (36.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample700.0ms (12%)

explain292.0ms (5%)

preprocess14.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series6.0ms (0.1%)

simplify265.0ms (4.5%)

rewrite378.0ms (6.5%)

eval230.0ms (3.9%)

prune35.0ms (0.6%)

simplify0.0ms (0%)

series190.0ms (3.3%)

simplify523.0ms (9%)

rewrite189.0ms (3.2%)

eval449.0ms (7.7%)

prune23.0ms (0.4%)

simplify0.0ms (0%)

series31.0ms (0.5%)

simplify217.0ms (3.7%)

rewrite192.0ms (3.3%)

eval205.0ms (3.5%)

prune699.0ms (12%)

simplify0.0ms (0%)

series15.0ms (0.3%)

simplify141.0ms (2.4%)

rewrite210.0ms (3.6%)

eval79.0ms (1.3%)

prune36.0ms (0.6%)

regimes8.0ms (0.1%)

regimes3.0ms (0.1%)

simplify13.0ms (0.2%)

soundness625.0ms (10.7%)

preprocess71.0ms (1.2%)

end0.0ms (0%)

Profiling