Metrics for Rust f64::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze24.0ms (0.4%)

Memory

-45.7MiB live, 1.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample754.0ms (12.1%)

Memory

10.6MiB live, 964.7MiB allocated

Samples

540.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-asinh: 160.0ms (93.2% of total)

ival-true: 6.0ms (3.5% of total)

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

adjust: 2.0ms (1.2% of total)

Bogosity

explain229.0ms (3.7%)

Memory

1.3MiB live, 482.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
68	-	-	`(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	129	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	68	0
↳	`(*.f64 x x)`	overflow	68
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	68

Confusion

	Predicted +	Predicted -
+	197	0
-	0	59

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	197	0	0
-	0	0	59

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	59
1	197

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms	96×	2	valid
41.0ms	152×	1	valid
24.0ms	264×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

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

ival-hypot: 43.0ms (37.2% of total)

ival-log: 42.0ms (36.4% of total)

adjust: 10.0ms (8.7% of total)

ival-copysign: 7.0ms (6.1% of total)

ival-add: 7.0ms (6.1% of total)

ival-mult: 4.0ms (3.5% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess15.0ms (0.2%)

Memory

5.6MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	49
1	24	49
2	42	49
3	69	49
4	84	49
0	84	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize137.0ms (2.2%)

Memory

9.3MiB live, 193.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.015625	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	15.866537002504318	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	28.648281862247124	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

74.0ms	76×	1	valid
24.0ms	48×	2	valid
12.0ms	132×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-log: 48.0ms (48% of total)

ival-hypot: 35.0ms (35% of total)

adjust: 6.0ms (6% of total)

ival-copysign: 5.0ms (5% of total)

ival-add: 3.0ms (3% of total)

ival-fabs: 2.0ms (2% of total)

ival-mult: 2.0ms (2% 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

14.3MiB live, 14.3MiB allocated

Counts

6 → 39

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify211.0ms (3.4%)

Memory

-26.5MiB live, 202.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

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

rewrite217.0ms (3.5%)

Memory

-3.8MiB live, 335.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 510

Calls

Call 1

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

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

eval104.0ms (1.7%)

Memory: 33.6MiB live, 176.1MiB allocated
Compiler: Compiled 12 795 to 2 821 computations (78% saved)

prune13.0ms (0.2%)

Memory

-4.0MiB live, 41.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

548 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))) x)
▶	23.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
▶	30.5%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))) x)
▶	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	52.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)))) x)

Compiler

Compiled 212 to 132 computations (37.7% saved)

simplify141.0ms (2.3%)

Memory

6.2MiB live, 234.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(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)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)))) x)
cost-diff	7	(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))))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
cost-diff	3	(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x)))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))) x)
cost-diff	3	(fma.f64 (/.f64 (fabs.f64 x) x) x x)
cost-diff	0	(asinh.f64 x)
cost-diff	0	(copysign.f64 (asinh.f64 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	419
0	71	419
1	103	403
2	233	395
3	1069	371
4	5011	371
0	8119	354

Stop Event

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

Calls

Call 1

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

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

localize363.0ms (5.8%)

Memory

8.3MiB live, 490.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(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)))
accuracy	0.1953125	(.f64 #s(literal -1/24 binary64) (.f64 x x))
accuracy	15.95468053185295	(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))))
accuracy	31.596772437189003	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(fabs.f64 x)
accuracy	28.648281862247124	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))))
accuracy	48.79169475040227	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
accuracy	0.015625	(+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
accuracy	15.866537002504318	(sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	28.648281862247124	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
accuracy	31.399465113159557	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	0.0	(/.f64 (fabs.f64 x) x)
accuracy	0.0	(fabs.f64 x)
accuracy	28.648281862247124	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x)))
accuracy	44.471690426768276	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))
accuracy	0.0	(copysign.f64 (asinh.f64 x) x)
accuracy	0.1015625	(asinh.f64 x)

Samples

202.0ms	76×	1	valid
74.0ms	48×	2	valid
48.0ms	132×	0	valid

Compiler

Compiled 293 to 32 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 48.0ms (28.4% of total)

adjust: 32.0ms (18.9% of total)

ival-log: 30.0ms (17.7% of total)

ival-copysign: 16.0ms (9.5% of total)

ival-add: 12.0ms (7.1% of total)

ival-hypot: 10.0ms (5.9% of total)

ival-div: 8.0ms (4.7% of total)

const: 4.0ms (2.4% of total)

ival-asinh: 3.0ms (1.8% of total)

ival-log1p: 3.0ms (1.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

-10.6MiB live, 35.1MiB allocated

Counts

23 → 66

Calls

Call 1

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

Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fabs x)
(+ x (fabs x))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ (fabs x) (* -1 x))
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(/ (fabs x) x)
1
(+ 1 (pow x 2))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(* -1/24 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* x (+ 1 (/ (fabs x) x)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* x (- (/ (fabs x) x) 1))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((copysign (asinh x) x) (asinh x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1))) (/ 1/2 (+ (fabs x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1))) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg x) (* -1/24 (* x x)))
6.0ms	x	@	inf	((copysign (asinh x) x) (asinh x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1))) (/ 1/2 (+ (fabs x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1))) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg x) (* -1/24 (* x x)))
5.0ms	x	@	-inf	((copysign (asinh x) x) (asinh x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1))) (/ 1/2 (+ (fabs x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (+ (fabs x) 1)) 3) (+ (fabs x) 1))) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg x) (* -1/24 (* x x)))

Time

Variable

Point

Expression

8.0ms

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

6.0ms

inf

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

5.0ms

-inf

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

simplify260.0ms (4.2%)

Memory

37.1MiB live, 213.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	1025
1	812	921
2	3033	903
0	8263	850

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

Inputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fabs x)
(+ x (fabs x))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ (fabs x) (* -1 x))
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(/ (fabs x) x)
1
(+ 1 (pow x 2))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(* -1/24 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* x (+ 1 (/ (fabs x) x)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* x (- (/ (fabs x) x) 1))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

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

rewrite238.0ms (3.8%)

Memory

-39.7MiB live, 339.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	354
0	71	326
1	228	302
2	1691	233
0	9007	224

Stop Event

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

Counts

23 → 311

Calls

Call 1

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

Outputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (-.f64 (cosh.f64 (asinh.f64 x)) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) x) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (cosh.f64 (asinh.f64 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) x) (*.f64 x x))))
(log.f64 (exp.f64 (asinh.f64 x)))
(*.f64 (/.f64 (-.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 x x))) (/.f64 (-.f64 x x) x))
(*.f64 (/.f64 (-.f64 x x) x) (/.f64 (-.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 x x)))) (neg.f64 (neg.f64 (-.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x x)) (.f64 (-.f64 x x) (.f64 x x))) (*.f64 x (-.f64 x x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x)) (.f64 (fma.f64 x (-.f64 x x) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 x x) (.f64 x x)) (fma.f64 x (-.f64 x x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 x (-.f64 x x)) (-.f64 x x))
(/.f64 (neg.f64 (*.f64 x (-.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x x) (*.f64 x x))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (fabs.f64 (/.f64 x x)) x x)
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 (/.f64 x x) x x)
(fma.f64 x (fabs.f64 (/.f64 x x)) x)
(fma.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 x (/.f64 x x) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))))
(-.f64 x x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x x) (.f64 x x))))
(+.f64 x x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 x x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 x x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 x x))
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))) x)) x)
(-.f64 (log.f64 (-.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (.f64 x x))) (log.f64 (-.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (.f64 x x) #s(approx (+ ( x x) 1) (.f64 x x))))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 #s(approx (+ ( x x) 1) (*.f64 x x)))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* x x) 1) (.f64 x x)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(approx (+ ( x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))) x))))))
(-.f64 (log.f64 (-.f64 (.f64 x x) #s(approx (+ ( x x) 1) (.f64 x x)))) (log.f64 (-.f64 x (sqrt.f64 #s(approx (+ ( x x) 1) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (+ (* x x) 1) (.f64 x x)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 #s(approx (+ ( x x) 1) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (sqrt.f64 #s(approx (+ ( x x) 1) (*.f64 x x))) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (+ (* x x) 1) (.f64 x x)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (-.f64 #s(approx (+ ( x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))) x)))))
(log.f64 (+.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (.f64 x x))) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ ( x x) 1) (.f64 x x)) #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(approx (+ ( x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (.f64 x x))) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(approx (+ ( x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (.f64 x x))) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(approx (+ ( x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (.f64 x x))) x)))) (-.f64 (.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) 1) (.f64 x x)) #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(approx (+ ( x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (.f64 x x))) x)))) (/.f64 (pow.f64 #s(approx (+ ( x x) 1) (.f64 x x)) #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(approx (+ ( x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (.f64 x x))) x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (.f64 x x))) x)))) (/.f64 (pow.f64 #s(approx (+ ( x x) 1) (.f64 x x)) #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(approx (+ ( x x) 1) (.f64 x x)) (.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))) x))))))))
(/.f64 (neg.f64 (-.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))) x)))
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x
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eval119.0ms (1.9%)

Memory: 14.2MiB live, 169.0MiB allocated
Compiler: Compiled 19 752 to 2 325 computations (88.2% saved)

prune52.0ms (0.8%)

Memory

-13.3MiB live, 33.1MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	449	5	454
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	453	6	459

Accuracy

100.0%

Counts

459 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.3%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
▶	23.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	52.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)) x)
▶	52.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)
▶	52.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) x)

Compiler

Compiled 190 to 131 computations (31.1% saved)

simplify185.0ms (3%)

Memory

-2.5MiB live, 183.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
cost-diff	0	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
cost-diff	0	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) x)
cost-diff	0	#s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
cost-diff	0	(+.f64 x x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x)))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)
cost-diff	0	#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x))
cost-diff	0	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	340
0	73	340
1	109	340
2	262	332
3	1081	324
4	2683	324
5	4967	324
0	8192	318

Stop Event

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

Calls

Call 1

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

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

localize301.0ms (4.8%)

Memory

17.1MiB live, 306.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
accuracy	0.02734375	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy	0.16796875	(.f64 #s(literal 3/40 binary64) (.f64 x x))
accuracy	30.56868281284826	#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
accuracy	0.0	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) x)
accuracy	0.00390625	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy	31.704582786644576	#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy	0.0	(fabs.f64 x)
accuracy	0.0	#s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))
accuracy	28.648281862247124	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))))
accuracy	48.79169475040227	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))
accuracy	0.0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
accuracy	0.0	(+.f64 x x)
accuracy	28.648281862247124	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x)))
accuracy	44.807420358192914	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))
accuracy	0.03515625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)
accuracy	0.078125	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))
accuracy	0.25390625	(*.f64 #s(literal 3/40 binary64) x)
accuracy	31.441881158806716	#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x))

Samples

87.0ms	48×	2	valid
61.0ms	76×	1	valid
44.0ms	132×	0	valid

Compiler

Compiled 209 to 39 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-add: 34.0ms (20.7% of total)

adjust: 33.0ms (20.1% of total)

ival-log: 23.0ms (14% of total)

const: 22.0ms (13.4% of total)

ival-mult: 16.0ms (9.7% of total)

ival-hypot: 10.0ms (6.1% of total)

ival-pow: 8.0ms (4.9% of total)

ival-copysign: 6.0ms (3.6% of total)

ival-sub: 5.0ms (3% of total)

ival-asinh: 3.0ms (1.8% of total)

ival-div: 2.0ms (1.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory

-4.6MiB live, 38.6MiB allocated

Counts

23 → 64

Calls

Call 1

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

Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(* 2 x)
(fabs x)
(+ (fabs x) (* -1 x))
(* 3/40 x)
(* -5/112 (pow x 4))
(* 3/40 (pow x 2))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))

Calls

3 calls:

Time

Variable

Point

Expression

26.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify211.0ms (3.4%)

Memory

12.3MiB live, 305.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	887
1	753	844
2	2687	817
0	8395	783

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

Inputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(* 2 x)
(fabs x)
(+ (fabs x) (* -1 x))
(* 3/40 x)
(* -5/112 (pow x 4))
(* 3/40 (pow x 2))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))

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

rewrite215.0ms (3.5%)

Memory

14.4MiB live, 204.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	290
0	73	272
1	248	272
2	1782	201
0	8898	201

Stop Event

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

Counts

23 → 245

Calls

Call 1

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

Outputs
(copysign.f64 #s(approx (asinh x) (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)) x)
#s(approx (asinh x) (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) x) (.f64 x x))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x))) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fabs.f64 (/.f64 x x)) x (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
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(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 (.f64 #s(literal 3/40 binary64) x) x)
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 x (fabs.f64 (.f64 #s(literal 3/40 binary64) x)))
(.f64 x (.f64 #s(literal 3/40 binary64) x))
(sqrt.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(fabs.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))) #s(literal 1/216 binary64))) (.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))

eval108.0ms (1.7%)

Memory: -13.0MiB live, 89.6MiB allocated
Compiler: Compiled 10 915 to 1 607 computations (85.3% saved)

prune36.0ms (0.6%)

Memory

-7.5MiB live, 36.6MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	358	5	363
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	361	8	369

Accuracy

100.0%

Counts

369 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.3%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	23.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	52.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x)) x)
▶	52.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x)) x)
▶	52.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
▶	52.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) x)
▶	52.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)

Compiler

Compiled 211 to 133 computations (37% saved)

simplify277.0ms (4.5%)

Memory

-14.4MiB live, 217.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))
cost-diff	0	#s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x))
cost-diff	0	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x)) x)
cost-diff	2	(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
cost-diff	0	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
cost-diff	0	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) x)
cost-diff	2	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
cost-diff	0	#s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
cost-diff	0	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)
cost-diff	2	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x))
cost-diff	0	#s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x))
cost-diff	0	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x)) x)
cost-diff	2	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	322
0	64	322
1	109	296
2	259	296
3	964	296
4	2826	296
5	4662	296
6	6473	296
0	8046	290

Stop Event

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

Calls

Call 1

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

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

localize240.0ms (3.9%)

Memory

36.7MiB live, 277.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x)
accuracy	0.1484375	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))
accuracy	0.16796875	(.f64 (.f64 x x) #s(literal 3/40 binary64))
accuracy	30.56868281284826	#s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0625	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy	0.10546875	(.f64 (.f64 x x) x)
accuracy	31.704582786644576	#s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.05078125	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
accuracy	0.27734375	(*.f64 x #s(literal -1/6 binary64))
accuracy	31.704582786644576	#s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.02734375	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
accuracy	0.1953125	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	31.704582786644576	#s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
accuracy	0.078125	(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.109375	(.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x))
accuracy	0.25390625	(*.f64 #s(literal 3/40 binary64) x)
accuracy	31.441881158806716	#s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 x x)) x x))

Samples

168.0ms

256×

valid

Compiler

Compiled 208 to 34 computations (83.7% saved)

Precisions

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

ival-mult: 78.0ms (58.1% of total)

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

ival-asinh: 14.0ms (10.4% of total)

const: 13.0ms (9.7% of total)

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

ival-copysign: 2.0ms (1.5% of total)

ival-sub: 2.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-3.5MiB live, 38.9MiB allocated

Counts

24 → 43

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify112.0ms (1.8%)

Memory

8.4MiB live, 198.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	501
1	298	487
2	769	487
3	2488	484
4	6649	484
0	8060	477

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

Calls

Call 1

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

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

rewrite352.0ms (5.7%)

Memory

-3.6MiB live, 394.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	267
0	64	241
1	219	241
2	1248	241
0	8581	235

Stop Event

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

Counts

24 → 406

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)))) (+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x) x)) x) (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x) x)) x))) (+.f64 x (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x) x)) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 x (.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))))) (-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64)))) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x) x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x) x)) x) (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x) x)) x) (.f64 x (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x #s(literal 3/40 binary64)) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x) x)) x)))))
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(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x)
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x)
(fma.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (neg.f64 (.f64 x x)) x) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (neg.f64 (.f64 x x)) x) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))) x))
(-.f64 x (.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(+.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(copysign.f64 #s(approx (asinh x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) x)
#s(approx (asinh x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(*.f64 x #s(literal 3/40 binary64))
(*.f64 #s(literal 3/40 binary64) x)
(.f64 (.f64 #s(literal -5/112 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -5/112 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 3/40 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 x #s(literal 3/40 binary64))) x)
(.f64 (.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3/40 binary64)))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 (.f64 x #s(literal 3/40 binary64)) x)
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 3/40 binary64))))
(.f64 x (fabs.f64 (.f64 x #s(literal 3/40 binary64))))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(sqrt.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(fabs.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)))

eval103.0ms (1.7%)

Memory: -12.0MiB live, 128.4MiB allocated
Compiler: Compiled 15 316 to 2 021 computations (86.8% saved)

prune27.0ms (0.4%)

Memory

16.5MiB live, 62.5MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	409	3	412
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	411	9	420

Accuracy

100.0%

Counts

420 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.3%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x x))) x)
✓	23.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
	52.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) x) x (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -5/112 binary64))) #s(literal 1/6 binary64))) (*.f64 x x)) x x)) x)
✓	52.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x)) x)
✓	52.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
✓	52.0%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)
	52.0%	(copysign.f64 #s(approx (asinh x) (-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1/6 binary64) x)))) x)
	52.0%	(copysign.f64 #s(approx (asinh x) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) x)

Compiler

Compiled 497 to 218 computations (56.1% saved)

regimes15.0ms (0.2%)

Memory

-21.5MiB live, 23.2MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
4.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
52.2%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
52.2%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes19.0ms (0.3%)

Memory

-32.2MiB live, 11.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
2.0ms	x

Results

Accuracy	Segments	Branch
52.0%	1	`x`
52.0%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify11.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	64
1	35	64
2	39	64
3	40	64

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations910.0ms (14.6%)

Memory

-20.0MiB live, 745.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	1025
1	812	921
2	3033	903
0	8263	850
0	46	290
0	73	272
1	248	272
2	1782	201
0	8898	201
0	9	44
0	16	32
1	56	24
2	375	18
3	4916	18
0	8251	17
0	35	267
0	64	241
1	219	241
2	1248	241
0	8581	235

Stop Event

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

Compiler

Compiled 64 to 30 computations (53.1% saved)

preprocess134.0ms (2.2%)

Memory: 19.1MiB live, 207.3MiB allocated
Compiler: Compiled 192 to 98 computations (49% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.4%)

sample754.0ms (12.1%)

explain229.0ms (3.7%)

preprocess15.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize137.0ms (2.2%)

series5.0ms (0.1%)

simplify211.0ms (3.4%)

rewrite217.0ms (3.5%)

eval104.0ms (1.7%)

prune13.0ms (0.2%)

simplify141.0ms (2.3%)

localize363.0ms (5.8%)

series20.0ms (0.3%)

simplify260.0ms (4.2%)

rewrite238.0ms (3.8%)

eval119.0ms (1.9%)

prune52.0ms (0.8%)

simplify185.0ms (3%)

localize301.0ms (4.8%)

series33.0ms (0.5%)

simplify211.0ms (3.4%)

rewrite215.0ms (3.5%)

eval108.0ms (1.7%)

prune36.0ms (0.6%)

simplify277.0ms (4.5%)

localize240.0ms (3.9%)

series14.0ms (0.2%)

simplify112.0ms (1.8%)

rewrite352.0ms (5.7%)

eval103.0ms (1.7%)

prune27.0ms (0.4%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes19.0ms (0.3%)

simplify11.0ms (0.2%)

derivations910.0ms (14.6%)

preprocess134.0ms (2.2%)

end0.0ms (0%)

Profiling