Metrics for Rust f64::asinh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample785.0ms (16.8%)

Memory

1.0MiB live, 811.0MiB allocated; 148ms collecting garbage

Samples

351.0ms

8 256×

valid

Precisions

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

ival-asinh: 123.0ms (91.9% of total)

ival-true: 6.0ms (4.5% of total)

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

adjust: 2.0ms (1.5% of total)

Bogosity

explain368.0ms (7.9%)

Memory

-10.8MiB live, 339.4MiB allocated; 112ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
137	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
63	-	-	`(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	137	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	63	0
↳	`(*.f64 x x)`	overflow	63
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	63

Confusion

	Predicted +	Predicted -
+	200	0
-	0	56

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	200	0	0
-	0	0	56

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	56
1	200

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

134.0ms	100×	2	valid
103.0ms	172×	1	valid
24.0ms	240×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-fabs: 54.0ms (24.5% of total)

adjust: 52.0ms (23.6% of total)

ival-add: 41.0ms (18.6% of total)

ival-log: 40.0ms (18.1% of total)

ival-hypot: 21.0ms (9.5% of total)

ival-copysign: 8.0ms (3.6% of total)

ival-mult: 4.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess18.0ms (0.4%)

Memory

-16.0MiB live, 29.6MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.7%	(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

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

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)

localize108.0ms (2.3%)

Memory

-3.6MiB live, 91.5MiB allocated; 17ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.00390625	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	14.684599474885884	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	31.67262089584846	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

65.0ms	50×	2	valid
21.0ms	86×	1	valid
12.0ms	120×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-log: 58.0ms (66.9% of total)

ival-hypot: 10.0ms (11.5% of total)

adjust: 6.0ms (6.9% of total)

ival-copysign: 4.0ms (4.6% of total)

ival-add: 4.0ms (4.6% of total)

ival-fabs: 2.0ms (2.3% of total)

ival-mult: 2.0ms (2.3% 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

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

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))
2.0ms	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))

2.0ms

-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))

simplify142.0ms (3%)

Memory

32.5MiB live, 121.5MiB allocated; 18ms collecting garbage

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))

rewrite270.0ms (5.8%)

Memory

-14.1MiB live, 322.6MiB allocated; 31ms collecting garbage

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))))
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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

eval164.0ms (3.5%)

Memory: -2.3MiB live, 186.3MiB allocated; 46ms collecting garbage
Compiler: Compiled 12 795 to 2 821 computations (78% saved)

prune122.0ms (2.6%)

Memory

-7.8MiB live, 39.4MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	541	6	547
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	542	6	548

Accuracy

100.0%

Counts

548 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
▶	25.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))) x)
▶	26.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))) x)
▶	25.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))) x)
▶	99.8%	(copysign.f64 (asinh.f64 x) x)
	55.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x (log1p.f64 (fabs.f64 x)))) x)

Compiler

Compiled 196 to 134 computations (31.6% saved)

simplify131.0ms (2.8%)

Memory

-0.0MiB live, 184.6MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
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	4	(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: 5 (0.0ms)

Iter	Nodes	Cost
0	31	249
0	55	249
1	70	249
2	101	241
3	154	225
4	247	225
5	563	221
6	1667	221
7	2715	221
8	3396	221
9	4425	221
10	6548	221
11	7464	221
0	8138	221

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

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

localize159.0ms (3.4%)

Memory

19.7MiB live, 299.9MiB allocated; 69ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.00390625	(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	14.684599474885884	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	31.67262089584846	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(fabs.f64 x)
accuracy	31.67262089584846	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x))))
accuracy	46.8689138584443	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
accuracy	0.00390625	(+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
accuracy	14.684599474885884	(sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	31.67262089584846	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
accuracy	32.979259018291465	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	0.0	(/.f64 (fabs.f64 x) x)
accuracy	0.0	(fabs.f64 x)
accuracy	31.67262089584846	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x)))
accuracy	47.96544349139935	#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	0.09765625	(asinh.f64 x)

Samples

49.0ms	50×	2	valid
41.0ms	86×	1	valid
35.0ms	120×	0	valid

Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-log: 27.0ms (33.4% of total)

adjust: 16.0ms (19.8% of total)

ival-hypot: 10.0ms (12.4% of total)

ival-fabs: 7.0ms (8.7% of total)

ival-copysign: 6.0ms (7.4% of total)

ival-add: 6.0ms (7.4% of total)

ival-asinh: 3.0ms (3.7% of total)

ival-mult: 3.0ms (3.7% of total)

ival-div: 2.0ms (2.5% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

22 → 57

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

Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fabs x)
(+ x (fabs x))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ (fabs x) (* -1 x))
(/ (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)
(+ (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))
(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
3.0ms	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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg x) (sqrt (+ (* x x) 1)))
2.0ms	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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg x) (sqrt (+ (* x x) 1)))
2.0ms	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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg x) (sqrt (+ (* x x) 1)))

Time

Variable

Point

Expression

3.0ms

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

2.0ms

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

2.0ms

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

simplify185.0ms (3.9%)

Memory

-20.8MiB live, 214.6MiB allocated; 78ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	812
1	713	759
2	2611	741
0	8262	695

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

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

rewrite52.0ms (1.1%)

Memory

34.1MiB live, 79.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	226
0	55	206
1	135	198
0	793	198

Stop Event

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

Counts

22 → 117

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

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

eval38.0ms (0.8%)

Memory: -27.4MiB live, 70.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 4 891 to 944 computations (80.7% saved)

prune4.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	202	3	205
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	206	5	211

Accuracy

100.0%

Counts

211 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
▶	26.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
▶	25.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	55.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) x)

Compiler

Compiled 79 to 52 computations (34.2% saved)

simplify111.0ms (2.4%)

Memory

-11.4MiB live, 126.8MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
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	#s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) 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) 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) x) (+.f64 (fabs.f64 x) x)))) x)
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	222
0	42	222
1	61	222
2	112	206
3	284	190
4	597	186
5	1389	186
6	2542	186
7	3494	186
8	4710	186
9	5755	186
10	7246	186
11	7960	186
0	8005	180

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

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

localize155.0ms (3.3%)

Memory

43.3MiB live, 415.2MiB allocated; 68ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.0	#s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))
accuracy	31.67262089584846	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x))))
accuracy	46.8689138584443	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))
accuracy	0.0	(fabs.f64 x)
accuracy	0.0	#s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x))
accuracy	31.67262089584846	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x))))
accuracy	47.96544349139935	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 (fabs.f64 x) x)))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
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	0.056972509768442016	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy	29.56092767626954	#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))

Samples

75.0ms	50×	2	valid
34.0ms	86×	1	valid
25.0ms	120×	0	valid

Compiler

Compiled 114 to 23 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-log: 27.0ms (24.8% of total)

ival-add: 19.0ms (17.5% of total)

ival-hypot: 14.0ms (12.9% of total)

adjust: 13.0ms (11.9% of total)

const: 13.0ms (11.9% of total)

ival-copysign: 6.0ms (5.5% of total)

ival-pow: 5.0ms (4.6% of total)

ival-mult: 4.0ms (3.7% of total)

ival-asinh: 3.0ms (2.8% of total)

ival-div: 2.0ms (1.8% of total)

ival-sub: 1.0ms (0.9% of total)

ival-fabs: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (1%)

Memory

-27.4MiB live, 36.5MiB allocated; 36ms collecting garbage

Counts

13 → 47

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

45.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify180.0ms (3.8%)

Memory

27.7MiB live, 160.2MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	693
1	656	650
2	2427	623
0	8354	589

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

Calls

Call 1

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

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

rewrite195.0ms (4.2%)

Memory

-8.4MiB live, 131.8MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	207
0	42	185
1	141	185
2	977	118
0	9726	118

Stop Event

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

Counts

13 → 135

Calls

Call 1

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

Outputs
(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 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))) (.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (.f64 x x))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (.f64 x x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (fabs.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x))) x x)
(fma.f64 (fabs.f64 (.f64 #s(literal -1/6 binary64) x)) (.f64 x x) x)
(fma.f64 (fabs.f64 (/.f64 x x)) x (*.f64 #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 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) x)
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fabs.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (/.f64 x x) x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x x) (neg.f64 (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x x) (fabs.f64 (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 x (fabs.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)
(fma.f64 x (fabs.f64 (/.f64 x x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 x (/.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(+.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x x) #s(literal 3 binary64)))
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (neg.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (-.f64 x x))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (fabs.f64 (/.f64 x x)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (/.f64 x x) x)
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (fabs.f64 (/.f64 x x)))
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 x (/.f64 x x))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x x) x)
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x

eval32.0ms (0.7%)

Memory: 12.4MiB live, 56.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 031 to 1 021 computations (79.7% saved)

prune21.0ms (0.5%)

Memory

-35.7MiB live, 21.2MiB allocated; 12ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	198	5	203
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	200	8	208

Accuracy

100.0%

Counts

208 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
✓	26.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
▶	23.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 x x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	28.1%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x)) #s(literal -1/6 binary64) x)) x)
▶	55.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
▶	55.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) x)
▶	55.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)

Compiler

Compiled 204 to 124 computations (39.2% saved)

simplify112.0ms (2.4%)

Memory

30.0MiB live, 117.6MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	271
0	58	255
1	103	227
2	239	204
3	882	204
4	1619	204
5	3180	204
6	5319	204
7	7136	204
0	8086	201

Stop Event

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

Calls

Call 1

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

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

localize347.0ms (7.4%)

Memory

-27.9MiB live, 327.4MiB allocated; 139ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x x)
accuracy	0.0	#s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 x x))
accuracy	16.097614901559535	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 x x))))
accuracy	16.596078861814433	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 x x)))
accuracy	0.014003759768442016	(fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x)) #s(literal -1/6 binary64) x)
accuracy	0.0703125	(*.f64 (sqrt.f64 x) x)
accuracy	0.08203125	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x))
accuracy	14.182072694263065	#s(approx (asinh x) (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x)) #s(literal -1/6 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.014003759768442016	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy	0.04296875	(.f64 (.f64 x x) x)
accuracy	14.182072694263065	#s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.03515625	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
accuracy	0.1640625	(*.f64 x #s(literal -1/6 binary64))
accuracy	14.182072694263065	#s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
accuracy	0.07421875	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	14.182072694263065	#s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))

Samples

112.0ms	42×	1	valid
93.0ms	58×	0	valid
34.0ms	129×	0	invalid
22.0ms	27×	2	valid

Compiler

Compiled 154 to 31 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-hypot: 82.0ms (34.1% of total)

ival-fabs: 65.0ms (27.1% of total)

ival-mult: 31.0ms (12.9% of total)

ival-log: 31.0ms (12.9% of total)

ival-add: 9.0ms (3.7% of total)

adjust: 7.0ms (2.9% of total)

ival-copysign: 5.0ms (2.1% of total)

const: 4.0ms (1.7% of total)

ival-asinh: 3.0ms (1.2% of total)

ival-div: 2.0ms (0.8% of total)

ival-sqrt: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

23 → 54

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify175.0ms (3.7%)

Memory

-16.2MiB live, 212.4MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	722
1	685	680
2	2531	653
0	8249	619

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

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

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

rewrite98.0ms (2.1%)

Memory

-21.9MiB live, 77.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	254
0	58	201
1	202	193
0	1152	189

Stop Event

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

Counts

23 → 265

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) x)
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 x (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x (.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(-.f64 x (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(-.f64 x (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 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)) #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))
(.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(.f64 (.f64 x #s(literal -1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) x)
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 x (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x (.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(-.f64 x (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(-.f64 x (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 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)) #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))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(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))
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) x)
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 x (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x (.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(-.f64 x (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(-.f64 x (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(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))
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) x)
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 x (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x (.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(-.f64 x (.f64 (neg.f64 (.f64 x #s(literal -1/6 binary64))) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(-.f64 x (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (*.f64 #s(literal 2 binary64) x)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (*.f64 #s(literal 2 binary64) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)

eval48.0ms (1%)

Memory: 47.3MiB live, 87.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 891 to 934 computations (76% saved)

prune38.0ms (0.8%)

Memory

-16.2MiB live, 29.9MiB allocated; 7ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	203	10	213

Accuracy

100.0%

Counts

213 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
✓	26.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f64 (fabs.f64 x) x)))) x)
✓	23.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f64 x x)))) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
✓	28.1%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x)) #s(literal -1/6 binary64) x)) x)
✓	55.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) x)
	55.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x) x x)) x)
	28.1%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x x))) #s(literal -1/6 binary64) x)) x)
✓	55.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)) x)
✓	55.2%	(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) x)

Compiler

Compiled 438 to 194 computations (55.7% saved)

regimes10.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	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

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Accuracy

Total -17.3b remaining (-60.5%)

Threshold costs -17.3b (-60.5%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(copysign.f64 #s(approx (asinh x) (fma.f64 (.f64 #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
55.2%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
55.2%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations442.0ms (9.4%)

Memory

-25.7MiB live, 408.1MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	812
1	713	759
2	2611	741
0	8262	695
0	30	207
0	42	185
1	141	185
2	977	118
0	9726	118
0	9	44
0	16	32
1	56	24
2	375	18
3	4916	18
0	8251	17

Stop Event

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

preprocess86.0ms (1.8%)

Memory: 25.0MiB live, 169.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 98 to 58 computations (40.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample785.0ms (16.8%)

explain368.0ms (7.9%)

preprocess18.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize108.0ms (2.3%)

series5.0ms (0.1%)

simplify142.0ms (3%)

rewrite270.0ms (5.8%)

eval164.0ms (3.5%)

prune122.0ms (2.6%)

simplify131.0ms (2.8%)

localize159.0ms (3.4%)

series8.0ms (0.2%)

simplify185.0ms (3.9%)

rewrite52.0ms (1.1%)

eval38.0ms (0.8%)

prune4.0ms (0.1%)

simplify111.0ms (2.4%)

localize155.0ms (3.3%)

series48.0ms (1%)

simplify180.0ms (3.8%)

rewrite195.0ms (4.2%)

eval32.0ms (0.7%)

prune21.0ms (0.5%)

simplify112.0ms (2.4%)

localize347.0ms (7.4%)

series10.0ms (0.2%)

simplify175.0ms (3.7%)

rewrite98.0ms (2.1%)

eval48.0ms (1%)

prune38.0ms (0.8%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

simplify9.0ms (0.2%)

derivations442.0ms (9.4%)

preprocess86.0ms (1.8%)

end0.0ms (0%)

Profiling