Metrics for Rust f32::asinh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
100%	99.6%	0%	0.4%	0%	0%	0%	1

Compiler

Compiled 4 to 4 computations (0% saved)

sample786.0ms (18.7%)

Memory

-37.6MiB live, 727.1MiB allocated; 187ms collecting garbage

Samples

572.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-asinh: 352.0ms (97.2% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain227.0ms (5.4%)

Memory

33.3MiB live, 275.7MiB allocated; 87ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
110	1	(-0.008958262391388416)	-	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
66	0	-	-	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	0	-	-	`#s(literal 1 binary32)`
0	0	-	-	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
0	0	-	-	`(*.f32 x x)`
0	0	-	-	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`
0	0	-	-	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	0	-	-	`x`
0	0	-	-	`(fabs.f32 x)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	sensitivity	111	1
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	66	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	66
↳	`(*.f32 x x)`	overflow	66

Confusion

	Predicted +	Predicted -
+	177	0
-	0	79

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	177	0	0
-	0	1	78

Precision?

0.9943820224719101

Recall?

1.0

Freqs

test

number	freq
0	79
1	177

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms	162×	1	valid
35.0ms	350×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 23.0ms (32.7% of total)

ival-hypot: 13.0ms (18.5% of total)

ival-log: 11.0ms (15.6% of total)

ival-add: 10.0ms (14.2% of total)

adjust: 5.0ms (7.1% of total)

ival-copysign: 5.0ms (7.1% of total)

ival-fabs: 3.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess233.0ms (5.6%)

Memory

-19.6MiB live, 211.2MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	9	12
0	16	12
1	24	12
2	45	12
3	85	12
4	144	12
5	351	12
6	2401	12
7	5914	12
0	8153	11

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify259.0ms (6.2%)

Memory

24.9MiB live, 271.7MiB allocated; 30ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
cost-diff	1	(+.f32 (*.f32 x x) #s(literal 1 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	49
1	24	49
2	45	49
3	85	49
4	144	49
5	351	49
6	2401	49
7	5914	49
0	8153	44

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

localize45.0ms (1.1%)

Memory

-28.6MiB live, 105.3MiB allocated; 16ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.0234375	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	7.177156074740872	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy	11.097660503050301	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))

Samples

17.0ms	81×	1	valid
15.0ms	175×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-hypot: 8.0ms (32.5% of total)

ival-log: 5.0ms (20.3% of total)

ival-copysign: 3.0ms (12.2% of total)

ival-add: 3.0ms (12.2% of total)

adjust: 2.0ms (8.1% of total)

ival-mult: 2.0ms (8.1% of total)

ival-fabs: 2.0ms (8.1% 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

11.5MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

5 → 38

Calls

Call 1

Inputs
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))

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)))))
(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)))
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)))
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)))

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)))

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)))

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)))

simplify208.0ms (5%)

Memory

-3.6MiB live, 250.2MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	584
1	568	546
2	2395	525
0	8393	485

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

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)))))
(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 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal -1/2 binary32)) (.f32 x x) #s(literal -1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 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.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) x)

rewrite85.0ms (2%)

Memory

-13.5MiB live, 76.4MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	16	30
1	56	22
0	406	21

Stop Event

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

Counts

5 → 65

Calls

Call 1

Inputs
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))

Outputs
(*.f32 (neg.f32 (cosh.f32 (asinh.f32 x))) (neg.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (fabs.f32 (cosh.f32 (asinh.f32 x))) (fabs.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x)))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fabs.f32 x)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))
(-.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 x)))
(-.f32 (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (.f32 (neg.f32 x) #s(literal 1 binary32)) (.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 x #s(literal 1 binary32)) (.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 x x))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(asinh.f32 (fabs.f32 x))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (.f32 x x) (.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (cosh.f32 (asinh.f32 x)))
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) (cosh.f32 (asinh.f32 x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (cosh.f32 (asinh.f32 x)))
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (.f32 x x))) (/.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (.f32 x x))))
(+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))
(+.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (.f32 (log1p.f32 (.f32 x x)) #s(literal 1/2 binary32)))
(cosh.f32 (neg.f32 (asinh.f32 x)))
(cosh.f32 (asinh.f32 (neg.f32 x)))
(cosh.f32 (asinh.f32 x))
(cosh.f32 (asinh.f32 (fabs.f32 x)))

eval12.0ms (0.3%)

Memory: 24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 004 to 572 computations (71.5% saved)

prune6.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	6	102

Accuracy

100.0%

Counts

102 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
▶	34.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
▶	29.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
▶	99.6%	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
	49.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
▶	15.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 244 to 158 computations (35.2% saved)

simplify234.0ms (5.6%)

Memory

4.7MiB live, 181.4MiB allocated; 53ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
cost-diff	0	(fabs.f32 x)
cost-diff	0	(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
cost-diff	3	(fma.f32 (/.f32 (fabs.f32 x) x) x x)
cost-diff	0	(log.f32 x)
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
cost-diff	0	(fabs.f32 x)
cost-diff	0	(asinh.f32 (fabs.f32 x))
cost-diff	0	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	259
0	49	259
1	65	259
2	97	255
3	164	247
4	366	247
5	2172	247
0	8375	234

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fabs.f32 x)
x
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
(*.f32 x x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32))
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
#s(literal 1 binary32)

Outputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)))
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(+.f32 (fabs.f32 x) x)
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))
(fabs.f32 x)
x
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
(*.f32 x x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32))
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
#s(literal 1 binary32)

localize105.0ms (2.5%)

Memory

-35.9MiB live, 116.5MiB allocated; 37ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
accuracy	0.0	(fabs.f32 x)
accuracy	5.475354725472433	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
accuracy	15.745164196428242	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
accuracy	0.01171875	(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
accuracy	3.697382948117691	(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
accuracy	5.475354725472433	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
accuracy	6.759905633178002	#s(approx (+ (* x x) 1) (*.f32 x x))
accuracy	0.0	(/.f32 (fabs.f32 x) x)
accuracy	0.0	(fabs.f32 x)
accuracy	5.475354725472433	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)))
accuracy	6.573025500876729	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
accuracy	0.0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
accuracy	0.0	(log.f32 x)
accuracy	12.184085959126042	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
accuracy	0.0	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
accuracy	0.0	(fabs.f32 x)
accuracy	0.0703125	(asinh.f32 (fabs.f32 x))

Samples

62.0ms	123×	0	invalid
14.0ms	93×	0	valid
11.0ms	40×	1	valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-hypot: 24.0ms (38.5% of total)

ival-fabs: 13.0ms (20.8% of total)

ival-log: 6.0ms (9.6% of total)

ival-copysign: 4.0ms (6.4% of total)

ival-add: 4.0ms (6.4% of total)

ival-mult: 4.0ms (6.4% of total)

ival-asinh: 3.0ms (4.8% of total)

ival-div: 2.0ms (3.2% of total)

adjust: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series274.0ms (6.5%)

Memory

33.2MiB live, 232.8MiB allocated; 165ms collecting garbage

Counts

20 → 48

Calls

Call 1

Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(/.f32 (fabs.f32 x) x)
#s(approx (+ (* x x) 1) (*.f32 x x))
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))
(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)))))))
(log x)
(+ x (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 (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)))))
(* -1 x)
(* 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))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -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
149.0ms	x	@	-inf	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log 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))) (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) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)))
74.0ms	x	@	0	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log 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))) (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) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)))
50.0ms	x	@	inf	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log 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))) (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) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)))

Time

Variable

Point

Expression

149.0ms

-inf

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

74.0ms

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

50.0ms

inf

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

simplify157.0ms (3.7%)

Memory

4.0MiB live, 243.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	646
1	595	606
2	2437	586
0	8448	543

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(fabs x)
(fabs.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(log x)
(log.f32 x)
(+ x (fabs x))
(+.f32 (fabs.f32 x) x)
(+ 1 (fabs x))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal -1/2 binary32)) (.f32 x x) #s(literal -1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+ (fabs x) (* -1 x))
(-.f32 (fabs.f32 x) x)
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 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.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* -1 x)
(neg.f32 x)
(* x (- (/ (fabs x) x) 1))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) x)

rewrite103.0ms (2.4%)

Memory

-14.5MiB live, 83.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	234
0	49	202
1	135	202
0	856	197

Stop Event

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

Counts

20 → 86

Calls

Call 1

Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(asinh.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(/.f32 (fabs.f32 x) x)
#s(approx (+ (* x x) 1) (*.f32 x x))
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))

Outputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(asinh.f32 (fabs.f32 x))
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(sqrt.f32 (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(pow.f32 x #s(literal 1 binary32))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x)
(*.f32 x (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 x x) (/.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 x x))) (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)))
(/.f32 (neg.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 x x)) (.f32 x x))) (neg.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))))
(/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 x x)) (.f32 x x)) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 x x)) (.f32 (.f32 (/.f32 (fabs.f32 x) x) x) x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32))) (fma.f32 x (-.f32 x (.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))
(-.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 x x)) (-.f32 (.f32 (/.f32 (fabs.f32 x) x) x) x)) (/.f32 (.f32 x x) (-.f32 (.f32 (/.f32 (fabs.f32 x) x) x) x)))
(-.f32 x (*.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) x))
(-.f32 x (*.f32 (neg.f32 x) (/.f32 (fabs.f32 x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(fma.f32 (fabs.f32 x) (/.f32 x x) x)
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
(+.f32 (/.f32 (pow.f32 (.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 x x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))))
(+.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)
(+.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x)
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)))
(-.f32 (log.f32 (-.f32 (.f32 x x) #s(approx (+ ( x x) 1) (.f32 x x)))) (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (-.f32 (fma.f32 x x #s(approx (+ ( x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)))))
(/.f32 (-.f32 #s(approx (+ (* x x) 1) (.f32 x x)) (.f32 x x)) (-.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)))
(/.f32 (neg.f32 (-.f32 (.f32 x x) #s(approx (+ ( x x) 1) (.f32 x x)))) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (-.f32 (fma.f32 x x #s(approx (+ ( x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)))))
(/.f32 (-.f32 (.f32 x x) #s(approx (+ ( x x) 1) (.f32 x x))) (-.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x)))))
(/.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (+.f32 #s(approx (+ ( x x) 1) (.f32 x x)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))) (fabs.f32 x)))))
(/.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (-.f32 (fma.f32 x x #s(approx (+ ( x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))))
(-.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ ( x x) 1) (.f32 x x))))) (/.f32 #s(approx (+ ( x x) 1) (.f32 x x)) (-.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))))))
(fma.f32 (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (+ ( x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (-.f32 (fma.f32 x x #s(approx (+ (* x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (.f32 x x))) (fabs.f32 x)))) (/.f32 (pow.f32 #s(approx (+ ( x x) 1) (.f32 x x)) #s(literal 3/2 binary32)) (-.f32 (fma.f32 x x #s(approx (+ ( x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)))))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(*.f32 x (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) x) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) x) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)))
(/.f32 (*.f32 x (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))
(/.f32 (*.f32 x (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)))
(*.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) (neg.f32 x))
(/.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 x))
(/.f32 (fabs.f32 x) x)
(neg.f32 (/.f32 (neg.f32 (fabs.f32 x)) x))
(neg.f32 (/.f32 (fabs.f32 x) (neg.f32 x)))
(.f32 (neg.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (.f32 x x)))) (neg.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x)))))
(.f32 (fabs.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (.f32 x x)))) (fabs.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x)))))
(.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (.f32 x x))) (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))))
#s(approx (+ (* x x) 1) (*.f32 x x))
(sqrt.f32 (.f32 #s(approx (+ ( x x) 1) (.f32 x x)) #s(approx (+ ( x x) 1) (*.f32 x x))))
(pow.f32 (.f32 #s(approx (+ ( x x) 1) (.f32 x x)) #s(approx (+ ( x x) 1) (*.f32 x x))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 2 binary32))
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1 binary32))
(.f32 (pow.f32 #s(approx (+ ( x x) 1) (.f32 x x)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (+ ( x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)))
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/2 binary32))
(exp.f32 (.f32 (log.f32 #s(approx (+ ( x x) 1) (*.f32 x x))) #s(literal 1/2 binary32)))

eval19.0ms (0.5%)

Memory: -4.4MiB live, 40.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 105 to 805 computations (80.4% saved)

prune6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	172	5	177

Accuracy

100.0%

Counts

177 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
▶	29.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
✓	99.6%	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
▶	49.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
✓	15.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 117 to 72 computations (38.5% saved)

simplify188.0ms (4.5%)

Memory

-8.1MiB live, 171.2MiB allocated; 41ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
cost-diff	0	#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
cost-diff	0	(fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
cost-diff	7	(fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	386
0	62	386
1	95	370
2	226	362
3	1071	346
4	5154	346
0	8239	334

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(.f32 #s(literal -1/24 binary32) (.f32 x x))
#s(literal -1/24 binary32)
(*.f32 x x)
x
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))
(/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 3 binary32)
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal -1 binary32)
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
x

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 (fma.f32 (.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) x) x #s(literal 1/2 binary32)) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 (fma.f32 (.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) x) x #s(literal 1/2 binary32)) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x (log1p.f32 (fabs.f32 x))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (.f32 (fma.f32 (.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) x) x #s(literal 1/2 binary32)) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x (log1p.f32 (fabs.f32 x)))
(fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) x) x #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(.f32 #s(literal -1/24 binary32) (.f32 x x))
(.f32 (.f32 x x) #s(literal -1/24 binary32))
#s(literal -1/24 binary32)
(*.f32 x x)
x
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))
(/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 3 binary32)
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal -1 binary32)
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
x

localize156.0ms (3.7%)

Memory

8.9MiB live, 160.4MiB allocated; 49ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f32 x)
accuracy	0.0	#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))
accuracy	11.097660503050301	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))))
accuracy	21.119312323883808	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))
accuracy	0.0	(fabs.f32 x)
accuracy	0.0	#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))
accuracy	11.097660503050301	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))))
accuracy	22.594307611973587	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))
accuracy	0.0546875	(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
accuracy	0.27817975959707264	(.f32 #s(literal -1/24 binary32) (.f32 x x))
accuracy	7.2035006202930925	(fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
accuracy	17.232882982439897	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))

Samples

67.0ms	175×	0	valid
51.0ms	81×	1	valid

Compiler

Compiled 235 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-fabs: 25.0ms (28.5% of total)

const: 10.0ms (11.4% of total)

ival-mult: 9.0ms (10.3% of total)

ival-div: 8.0ms (9.1% of total)

ival-add: 8.0ms (9.1% of total)

ival-hypot: 7.0ms (8% of total)

adjust: 6.0ms (6.8% of total)

ival-log: 5.0ms (5.7% of total)

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

ival-copysign: 3.0ms (3.4% of total)

ival-log1p: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series61.0ms (1.5%)

Memory

-29.8MiB live, 14.2MiB allocated; 13ms collecting garbage

Counts

15 → 40

Calls

Call 1

Inputs
(fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))
(.f32 #s(literal -1/24 binary32) (.f32 x x))
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(fabs.f32 x)

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

52.0ms

-inf

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

4.0ms

inf

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

4.0ms

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

simplify180.0ms (4.3%)

Memory

35.9MiB live, 176.2MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	689
1	611	610
2	2622	583
0	8412	547

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

Inputs
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
(+ (fabs x) (* -1 x))
(+ x (fabs x))
(* -1/24 (pow x 2))
(/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* -1 (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
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(/.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 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.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 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.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (.f32 x x) (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(-.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal -1/2 binary32)) (.f32 x x) #s(literal -1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(fabs x)
(fabs.f32 x)
(+ (fabs x) (* -1 x))
(-.f32 (fabs.f32 x) x)
(+ x (fabs x))
(+.f32 (fabs.f32 x) x)
(* -1/24 (pow x 2))
(.f32 (.f32 x x) #s(literal -1/24 binary32))
(/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))
(/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal -1/8 binary32)) (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 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.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal -1/8 binary32)) (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal -1/8 binary32)) (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (pow.f32 x #s(literal 4 binary32)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* -1 x)
(neg.f32 x)
(* x (- (/ (fabs x) x) 1))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x) #s(literal -1 binary32)) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)

rewrite121.0ms (2.9%)

Memory

3.4MiB live, 95.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	337
0	62	313
1	222	289
0	1802	281

Stop Event

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

Counts

15 → 102

Calls

Call 1

Inputs
(fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))
(.f32 #s(literal -1/24 binary32) (.f32 x x))
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(fabs.f32 x)

Outputs
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32))) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32)))))
(/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (.f32 (.f32 x x) #s(literal -1/24 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x #s(literal -1/24 binary32)) (*.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 (.f32 (.f32 x #s(literal -1/24 binary32)) (.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/13824 binary32) (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32)))) (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32))) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 x #s(literal -1/24 binary32)) (.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal -1/2 binary32))) (*.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 x #s(literal -1/24 binary32)) (.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (*.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x #s(literal -1/24 binary32)) (.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))))) (*.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (.f32 (.f32 x #s(literal -1/24 binary32)) (.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))))) (*.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 2 binary32))) (/.f32 (-.f32 (.f32 (.f32 x #s(literal -1/24 binary32)) (.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (fma.f32 #s(literal -1/13824 binary32) (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32))) #s(literal 2 binary32)) (.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (*.f32 x x) #s(literal -1/24 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))))
(/.f32 (fma.f32 #s(literal -1/13824 binary32) (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32)))) (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 (.f32 x #s(literal -1/24 binary32)) (.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (/.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 (.f32 x #s(literal -1/24 binary32)) (*.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (.f32 (*.f32 x x) #s(literal -1/24 binary32))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (neg.f32 (.f32 (*.f32 x x) #s(literal -1/24 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 #s(literal 1/24 binary32) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x)) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (*.f32 x x) #s(literal -1/24 binary32))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (*.f32 x x) #s(literal -1/24 binary32))))
(fma.f32 (/.f32 (.f32 (.f32 x #s(literal -1/24 binary32)) (*.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x)) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (/.f32 (.f32 (.f32 x #s(literal -1/24 binary32)) (*.f32 x (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x #s(literal -1/24 binary32))) x (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32)) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (.f32 x #s(literal -1/24 binary32)) (.f32 x (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/24 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
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(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 2 binary32))) (-.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)))) (neg.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(/.f32 (fma.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal -3 binary32))) (.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(/.f32 (fma.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 3 binary32))) (.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 9 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (+.f32 #s(literal 27 binary32) (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 9 binary32)) (/.f32 #s(literal 9 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(fma.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x)) (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 3 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x)) (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 3 binary32) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(+.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(.f32 #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (fabs.f32 x)))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(sqrt.f32 (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(pow.f32 x #s(literal 1 binary32))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 (fabs.f32 x))
(fabs.f32 x)

eval41.0ms (1%)

Memory: -28.6MiB live, 69.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 9 604 to 1 115 computations (88.4% saved)

prune4.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	204	5	209

Accuracy

100.0%

Counts

209 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
✓	29.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
✓	99.6%	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
▶	49.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
✓	15.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 110 to 70 computations (36.4% saved)

simplify187.0ms (4.5%)

Memory

21.4MiB live, 296.3MiB allocated; 40ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
cost-diff	0	(fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	161
0	36	161
1	58	161
2	140	161
3	488	161
4	1648	161
5	4756	161
0	8065	159

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(/.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32))
(*.f32 x x)
x
(-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32))
(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal -1/8 binary32)
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal -1 binary32)
#s(literal 1/8 binary32)
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) x) (log1p.f32 (fabs.f32 x)))
(/.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32))
(fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
x
(-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32))
(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal -1/8 binary32)
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal -1 binary32)
#s(literal 1/8 binary32)
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))

localize124.0ms (3%)

Memory

6.0MiB live, 200.6MiB allocated; 74ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
accuracy	0.0546875	(fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
accuracy	7.305138996580943	(/.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
accuracy	17.232882982439897	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x))))

Samples

65.0ms	175×	0	valid
45.0ms	81×	1	valid

Compiler

Compiled 119 to 23 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-hypot: 25.0ms (36.2% of total)

ival-mult: 11.0ms (15.9% of total)

ival-copysign: 6.0ms (8.7% of total)

adjust: 5.0ms (7.2% of total)

ival-add: 5.0ms (7.2% of total)

ival-log: 5.0ms (7.2% of total)

ival-div: 4.0ms (5.8% of total)

ival-sub: 3.0ms (4.3% of total)

ival-log1p: 3.0ms (4.3% of total)

ival-fabs: 2.0ms (2.9% of total)

exact: 1.0ms (1.4% of total)

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

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

series14.0ms (0.3%)

Memory

-25.1MiB live, 19.9MiB allocated; 14ms collecting garbage

Counts

5 → 22

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(/.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))

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

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (+ (* (* x x) (- (/ -1/8 (- (fabs x) -1)) 1/8)) 1/2) (- (fabs x) -1)) (* x x)) (log (+ 1 (fabs x)))) (/ (+ (* (* x x) (- (/ -1/8 (- (fabs x) -1)) 1/8)) 1/2) (- (fabs x) -1)) (/ -1/8 (- (fabs x) -1)))

3.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (+ (* (* x x) (- (/ -1/8 (- (fabs x) -1)) 1/8)) 1/2) (- (fabs x) -1)) (* x x)) (log (+ 1 (fabs x)))) (/ (+ (* (* x x) (- (/ -1/8 (- (fabs x) -1)) 1/8)) 1/2) (- (fabs x) -1)) (/ -1/8 (- (fabs x) -1)))

2.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (+ (* (* x x) (- (/ -1/8 (- (fabs x) -1)) 1/8)) 1/2) (- (fabs x) -1)) (* x x)) (log (+ 1 (fabs x)))) (/ (+ (* (* x x) (- (/ -1/8 (- (fabs x) -1)) 1/8)) 1/2) (- (fabs x) -1)) (/ -1/8 (- (fabs x) -1)))

simplify134.0ms (3.2%)

Memory

30.4MiB live, 274.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	504
1	433	458
2	1957	420
0	8485	393

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 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.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (.f32 x x)) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(/ -1/8 (+ 1 (fabs x)))
(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x))) (log.f32 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))))
(-.f32 (fma.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1/2 binary32)))
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (pow.f32 x #s(literal 4 binary32)))
(* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(.f32 (.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))

rewrite68.0ms (1.6%)

Memory

-28.1MiB live, 110.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	123
0	36	117
1	150	109
0	1228	109

Stop Event

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

Counts

5 → 54

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(/.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32))) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x))) (pow.f32 (.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)))))
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(neg.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal -1/8 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x)))
(*.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 #s(literal -1/8 binary32) (neg.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))

eval9.0ms (0.2%)

Memory: 16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 766 to 459 computations (87.8% saved)

prune5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	75	5	80

Accuracy

100.0%

Counts

80 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
✓	29.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
✓	99.6%	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
✓	49.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
✓	15.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 334 to 145 computations (56.6% saved)

regimes18.0ms (0.4%)

Memory

-34.3MiB live, 15.9MiB allocated; 8ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (.f32 x x) (-.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)

Outputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)

Calls

2 calls:

14.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
3.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
99.6%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Calls

2 calls:

1.0ms	x
1.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
15.2%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
15.2%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify54.0ms (1.3%)

Memory

-1.0MiB live, 44.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	24	20
2	51	20
3	86	20
4	155	20
5	401	20
6	3042	20
7	7325	20

Stop Event

1×	node limit

Calls

Call 1

Inputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Outputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

derivations43.0ms (1%)

Memory

-1.0MiB live, 46.1MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess17.0ms (0.4%)

Memory: 33.4MiB live, 33.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 104 to 66 computations (36.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample786.0ms (18.7%)

explain227.0ms (5.4%)

preprocess233.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify259.0ms (6.2%)

localize45.0ms (1.1%)

series5.0ms (0.1%)

simplify208.0ms (5%)

rewrite85.0ms (2%)

eval12.0ms (0.3%)

prune6.0ms (0.1%)

simplify234.0ms (5.6%)

localize105.0ms (2.5%)

series274.0ms (6.5%)

simplify157.0ms (3.7%)

rewrite103.0ms (2.4%)

eval19.0ms (0.5%)

prune6.0ms (0.1%)

simplify188.0ms (4.5%)

localize156.0ms (3.7%)

series61.0ms (1.5%)

simplify180.0ms (4.3%)

rewrite121.0ms (2.9%)

eval41.0ms (1%)

prune4.0ms (0.1%)

simplify187.0ms (4.5%)

localize124.0ms (3%)

series14.0ms (0.3%)

simplify134.0ms (3.2%)

rewrite68.0ms (1.6%)

eval9.0ms (0.2%)

prune5.0ms (0.1%)

regimes18.0ms (0.4%)

regimes2.0ms (0.1%)

simplify54.0ms (1.3%)

derivations43.0ms (1%)

preprocess17.0ms (0.4%)

end0.0ms (0%)

Profiling