Metrics for Rust f64::asinh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample944.0ms (17.4%)

Memory

7.9MiB live, 949.1MiB allocated; 209ms collecting garbage

Samples

724.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-asinh: 287.0ms (96.2% of total)

ival-true: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain426.0ms (7.9%)

Memory

-13.5MiB live, 455.9MiB allocated; 138ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	124	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	74	0
↳	`(*.f64 x x)`	overflow	74
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	74

Confusion

	Predicted +	Predicted -
+	198	0
-	0	58

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	198	0	0
-	0	0	58

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	58
1	198

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

207.0ms	122×	2	valid
73.0ms	126×	1	valid
25.0ms	264×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-hypot: 140.0ms (49.4% of total)

ival-log: 66.0ms (23.3% of total)

ival-fabs: 43.0ms (15.2% of total)

adjust: 11.0ms (3.9% of total)

ival-add: 10.0ms (3.5% of total)

ival-copysign: 7.0ms (2.5% of total)

ival-mult: 4.0ms (1.4% of total)

ival-true: 1.0ms (0.4% of total)

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

exact: 0.0ms (0% of total)

preprocess466.0ms (8.6%)

Memory

-10.0MiB live, 455.8MiB allocated; 88ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	9	12
0	16	12
1	24	12
2	45	12
3	85	12
4	144	12
5	351	12
6	2401	12
7	5916	12
0	8173	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.9%	(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)

simplify636.0ms (11.7%)

Memory

23.0MiB live, 594.6MiB allocated; 116ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
cost-diff	1	(+.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff	2	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	49
1	24	49
2	45	49
3	85	49
4	144	49
5	351	49
6	2401	49
7	5916	49
0	8173	36

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.8%)

Memory

-1.6MiB live, 146.4MiB allocated; 28ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(fabs.f64 x)
accuracy	17.194049659108188	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	28.845661152317806	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

51.0ms	61×	2	valid
20.0ms	63×	1	valid
15.0ms	132×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-hypot: 30.0ms (41.3% of total)

ival-log: 21.0ms (28.9% of total)

adjust: 11.0ms (15.1% of total)

ival-copysign: 4.0ms (5.5% of total)

ival-add: 4.0ms (5.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

6 → 29

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify169.0ms (3.1%)

Memory

-1.0MiB live, 226.2MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	447
1	432	413
2	1835	406
0	8586	372

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

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

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

rewrite137.0ms (2.5%)

Memory

-25.5MiB live, 196.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	16	29
1	56	21
0	401	20

Stop Event

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

Counts

6 → 136

Calls

Call 1

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

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

eval41.0ms (0.8%)

Memory: 5.1MiB live, 51.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 572 to 855 computations (66.8% saved)

prune4.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	159	4	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	4	164

Accuracy

100.0%

Counts

164 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)))) x)
▶	30.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
▶	99.8%	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
▶	8.6%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 56 to 40 computations (28.6% saved)

simplify457.0ms (8.4%)

Memory

26.9MiB live, 288.8MiB allocated; 78ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	189
0	43	189
1	60	189
2	112	174
3	256	174
4	875	174
5	4933	174
0	8815	144

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (2.1%)

Memory

-34.1MiB live, 118.3MiB allocated; 24ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.18375934436379113	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	6.308581012680917	(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
accuracy	14.481152307837027	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))))
accuracy	14.70836579695391	#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(fabs.f64 x)
accuracy	14.481152307837027	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
accuracy	30.053164296643505	#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
accuracy	0.0	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
accuracy	0.0	(fabs.f64 x)
accuracy	0.05078125	(asinh.f64 (fabs.f64 x))
accuracy	0.0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
accuracy	0.0	(log.f64 x)
accuracy	25.402643417575142	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))

Samples

35.0ms	37×	1	valid
28.0ms	134×	0	invalid
16.0ms	25×	2	valid
9.0ms	60×	0	valid

Compiler

Compiled 138 to 18 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log: 14.0ms (27.9% of total)

ival-neg: 8.0ms (15.9% of total)

ival-hypot: 7.0ms (13.9% of total)

ival-copysign: 5.0ms (10% of total)

ival-mult: 4.0ms (8% of total)

adjust: 3.0ms (6% of total)

ival-add: 3.0ms (6% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series290.0ms (5.3%)

Memory

-18.9MiB live, 228.8MiB allocated; 57ms collecting garbage

Counts

17 → 43

Calls

Call 1

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

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 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))
(fabs x)
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) 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 x)
(/ 1/2 (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
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ (log -1) (* -1 (log (/ -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
194.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ 1/2 (* x x)) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (sqrt (+ (* x x) 1)) (/ 1/2 (* x x)))
68.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ 1/2 (* x x)) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (sqrt (+ (* x x) 1)) (/ 1/2 (* x x)))
26.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ 1/2 (* x x)) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (sqrt (+ (* x x) 1)) (/ 1/2 (* x x)))

Time

Variable

Point

Expression

194.0ms

-inf

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

68.0ms

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

26.0ms

inf

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

simplify203.0ms (3.7%)

Memory

13.1MiB live, 247.3MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	619
1	576	591
2	2397	558
0	8245	512

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

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

rewrite157.0ms (2.9%)

Memory

22.2MiB live, 67.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	177
0	43	139
1	131	139
0	849	139

Stop Event

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

Counts

17 → 83

Calls

Call 1

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

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

eval33.0ms (0.6%)

Memory: -9.3MiB live, 43.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 866 to 693 computations (82.1% saved)

prune5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	146	4	150

Accuracy

100.0%

Counts

150 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
▶	25.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))) x)
✓	99.8%	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
✓	8.6%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 63 to 44 computations (30.2% saved)

simplify498.0ms (9.2%)

Memory

-27.6MiB live, 395.6MiB allocated; 166ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	128
0	24	128
1	40	128
2	92	108
3	235	108
4	854	108
5	4895	108
0	8784	96

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (2.8%)

Memory

23.0MiB live, 167.4MiB allocated; 25ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.0	#s(approx (+ (* (/ 1/2 (* x x)) x) x) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
accuracy	28.845661152317806	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
accuracy	47.93844509656609	#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))

Samples

54.0ms	132×	0	valid
48.0ms	63×	1	valid
38.0ms	61×	2	valid

Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions

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

ival-div: 43.0ms (34.3% of total)

adjust: 33.0ms (26.3% of total)

ival-log: 21.0ms (16.7% of total)

ival-hypot: 10.0ms (8% of total)

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

ival-copysign: 4.0ms (3.2% of total)

ival-add: 4.0ms (3.2% of total)

ival-sub: 2.0ms (1.6% of total)

ival-fabs: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

6 → 38

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-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) (sqrt (+ (* x x) 1)) (+ (* (/ 1/2 (* x x)) x) x))

0.0ms

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) (sqrt (+ (* x x) 1)) (+ (* (/ 1/2 (* x x)) x) x))

simplify156.0ms (2.9%)

Memory

20.3MiB live, 209.5MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	583
1	564	555
2	2374	522
0	8337	482

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

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

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

rewrite65.0ms (1.2%)

Memory

-4.8MiB live, 88.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	118
0	24	106
1	97	106
0	722	101

Stop Event

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

Counts

6 → 29

Calls

Call 1

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

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

eval11.0ms (0.2%)

Memory: -22.9MiB live, 24.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 327 to 360 computations (84.5% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	65	4	69

Accuracy

100.0%

Counts

69 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
✓	25.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (/ 1/2 (* x x)) x) x) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))) x)
✓	99.8%	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
✓	8.6%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 159 to 89 computations (44% saved)

regimes5.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 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
8.6%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
8.6%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify54.0ms (1%)

Memory

-30.0MiB live, 67.1MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	24	20
2	51	20
3	86	20
4	155	20
5	401	20
6	3101	20
7	7413	20

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations257.0ms (4.7%)

Memory

9.2MiB live, 202.7MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	447
1	432	413
2	1835	406
0	8586	372
0	9	38
0	16	29
1	56	21
0	401	20

Stop Event

1×	done
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess36.0ms (0.7%)

Memory: 2.9MiB live, 50.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 104 to 66 computations (36.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample944.0ms (17.4%)

explain426.0ms (7.9%)

preprocess466.0ms (8.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify636.0ms (11.7%)

localize96.0ms (1.8%)

series5.0ms (0.1%)

simplify169.0ms (3.1%)

rewrite137.0ms (2.5%)

eval41.0ms (0.8%)

prune4.0ms (0.1%)

simplify457.0ms (8.4%)

localize116.0ms (2.1%)

series290.0ms (5.3%)

simplify203.0ms (3.7%)

rewrite157.0ms (2.9%)

eval33.0ms (0.6%)

prune5.0ms (0.1%)

simplify498.0ms (9.2%)

localize152.0ms (2.8%)

series2.0ms (0%)

simplify156.0ms (2.9%)

rewrite65.0ms (1.2%)

eval11.0ms (0.2%)

prune4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

simplify54.0ms (1%)

derivations257.0ms (4.7%)

preprocess36.0ms (0.7%)

end0.0ms (0%)

Profiling