Metrics for Rust f32::asinh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample653.0ms (12.3%)

Memory

39.3MiB live, 791.2MiB allocated; 180ms collecting garbage

Samples

434.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-asinh: 209.0ms (95.4% of total)

ival-true: 5.0ms (2.3% of total)

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

adjust: 2.0ms (0.9% of total)

Bogosity

explain296.0ms (5.6%)

Memory

-56.7MiB live, 249.5MiB allocated; 82ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
137	-	-	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
57	-	-	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
0	-	-	`(*.f32 x x)`
0	-	-	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	-	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	-	`x`
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	137	1
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	57	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	57
↳	`(*.f32 x x)`	overflow	57

Confusion

	Predicted +	Predicted -
+	194	0
-	0	62

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	194	0	0
-	0	1	61

Precision?

0.9948717948717949

Recall?

1.0

Freqs

test

number	freq
0	62
1	194

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms	194×	1	valid
29.0ms	318×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-add: 18.0ms (26.5% of total)

ival-hypot: 13.0ms (19.1% of total)

ival-log: 12.0ms (17.7% of total)

ival-mult: 9.0ms (13.2% of total)

ival-copysign: 6.0ms (8.8% of total)

adjust: 6.0ms (8.8% of total)

ival-fabs: 3.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess14.0ms (0.3%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs
(copysign.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

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.2%	(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)

simplify5.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

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	42	49
3	69	49
4	84	49
0	84	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.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)

localize49.0ms (0.9%)

Memory

-0.3MiB live, 88.6MiB allocated; 15ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f32 x)
accuracy	0.01171875	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	6.128429651117433	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy	14.081801487955829	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))

Samples

24.0ms	97×	1	valid
15.0ms	159×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log: 11.0ms (35.6% of total)

ival-hypot: 7.0ms (22.6% of total)

ival-copysign: 3.0ms (9.7% of total)

adjust: 3.0ms (9.7% of total)

ival-add: 3.0ms (9.7% of total)

ival-fabs: 2.0ms (6.5% of total)

ival-mult: 2.0ms (6.5% of total)

exact: 1.0ms (3.2% of total)

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

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

series5.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Counts

6 → 39

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)))
(fabs.f32 x)

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify213.0ms (4%)

Memory

12.4MiB live, 349.0MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

Outputs
1
#s(literal 1 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))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/8 binary32) (+.f32 (fabs.f32 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 (-.f32 (.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 (-.f32 (.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))
(fabs x)
(fabs.f32 x)
(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 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #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 (fabs.f32 x) (/.f32 (fma.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) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (/.f32 (-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x (neg.f32 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)))))
(neg.f32 (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))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f32 (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))

rewrite209.0ms (3.9%)

Memory

-1.0MiB live, 236.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 510

Calls

Call 1

Inputs
(+.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)))
(fabs.f32 x)

Outputs
(.f32 (pow.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (sin.f32 (acos.f32 x)))
(*.f32 (pow.f32 (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sin.f32 (acos.f32 x))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 6 binary32)) (pow.f32 x #s(literal 12 binary32)))) #s(literal 1 binary32)) (pow.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (sin.f32 (acos.f32 x)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (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 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 6 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))))
(.f32 (.f32 (sin.f32 (acos.f32 x)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))))
(.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (.f32 (neg.f32 (sin.f32 (acos.f32 x))) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 x))) #s(literal 1 binary32)))
(.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 x))))
(*.f32 (neg.f32 (sin.f32 (acos.f32 x))) (neg.f32 (sin.f32 (acos.f32 x))))
(*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 x)))
(*.f32 (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 binary32)))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (sin.f32 (acos.f32 x))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x)))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (.f32 (sinh.f32 (acosh.f32 (.f32 x x))) (sin.f32 (acos.f32 x))) (sinh.f32 (acosh.f32 x)))
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sin.f32 (acos.f32 x))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x))) #s(literal 2 binary32))
(/.f32 (.f32 (sin.f32 (acos.f32 x)) (sinh.f32 (acosh.f32 (.f32 x x)))) (sinh.f32 (acosh.f32 x)))
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (.f32 (sin.f32 (acos.f32 x)) (.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) (+.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 (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.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 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (.f32 (sinh.f32 (acosh.f32 (.f32 x x))) (sinh.f32 (acosh.f32 (.f32 x x)))) (.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x))))
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(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal -2 binary32))
(/.f32 (fabs.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (fabs.f32 (sinh.f32 (acosh.f32 x))))
(/.f32 (fabs.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (fabs.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (fabs.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 x)))
(/.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) #s(literal 2 binary32))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sin.f32 (acos.f32 x)))
(-.f32 (.f32 (cosh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (cosh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (.f32 x x)))))) (.f32 (sinh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (sinh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (.f32 x x)))))))
(-.f32 (.f32 (cosh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x)))) (cosh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x)))))) (.f32 (sinh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x)))) (sinh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x)))))))
(-.f32 (.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (.f32 x x))))) (.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (.f32 x x))))))
(-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (.f32 (sinh.f32 (asinh.f32 (.f32 x x))) x))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32))
(pow.f32 (neg.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32))
(pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(sin.f32 (acos.f32 (exp.f32 (log.f32 x))))
(sin.f32 (acos.f32 x))
(fabs.f32 (neg.f32 (sin.f32 (acos.f32 x))))
(fabs.f32 (sin.f32 (acos.f32 x)))
(+.f32 (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (log.f32 (sin.f32 (acos.f32 x)))) (sinh.f32 (log.f32 (sin.f32 (acos.f32 x)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sin.f32 (acos.f32 x))))
(cosh.f32 (asinh.f32 (exp.f32 (log.f32 x))))
(cosh.f32 (asinh.f32 x))
(cos.f32 (asin.f32 (exp.f32 (log.f32 x))))
(cos.f32 (asin.f32 x))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 x)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 x)) #s(literal 2 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (sqrt.f32 x)) #s(literal 1/4 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 x (pow.f32 x #s(literal 3/2 binary32))) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 x #s(literal 3/2 binary32)) (sqrt.f32 x)) #s(literal 1/4 binary32)) (pow.f32 (*.f32 (pow.f32 x #s(literal 3/2 binary32)) (sqrt.f32 x)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 (sqrt.f32 x) (pow.f32 x #s(literal 3/2 binary32))) #s(literal 1/4 binary32)) (pow.f32 (*.f32 (sqrt.f32 x) (pow.f32 x #s(literal 3/2 binary32))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 (.f32 (pow.f32 x #s(literal 3/2 binary32)) x) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/4 binary32)) (pow.f32 (.f32 (sqrt.f32 x) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 1/4 binary32)))
(*.f32 (pow.f32 x #s(literal 1/4 binary32)) (pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1 binary32)) (sqrt.f32 x))
(.f32 (pow.f32 (.f32 x (sqrt.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) x)
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)) x)
(.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (pow.f32 (.f32 (sqrt.f32 x) x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal 1/2 binary32)))
(*.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)))
(*.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (sqrt.f32 x) (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x)))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(*.f32 x (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)))
(*.f32 x #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) x)
(sqrt.f32 (*.f32 x x))
(/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 2 binary32))
(-.f32 (.f32 (sinh.f32 (asinh.f32 (.f32 x x))) (sin.f32 (acos.f32 x))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(-.f32 (.f32 (sinh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (cosh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (.f32 x x)))))) (.f32 (cosh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (sinh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (.f32 x x)))))))
(-.f32 (.f32 (sinh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x)))) (cosh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x)))))) (.f32 (cosh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x)))) (sinh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x)))))))
(-.f32 (.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (.f32 x x))))) (.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (.f32 x x))))))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 x) #s(literal 2 binary32))
(pow.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32))
(pow.f32 x #s(literal 1 binary32))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(fabs.f32 x)
(+.f32 (cosh.f32 (/.f32 (log.f32 (.f32 x x)) #s(literal 2 binary32))) (sinh.f32 (/.f32 (log.f32 (.f32 x x)) #s(literal 2 binary32))))
(+.f32 (cosh.f32 (.f32 (log.f32 (.f32 x x)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log.f32 (.f32 x x)) #s(literal 1/2 binary32))))
(+.f32 (cosh.f32 (.f32 (log.f32 x) #s(literal 1 binary32))) (sinh.f32 (.f32 (log.f32 x) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 x)) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 4 binary32) (log.f32 x)) #s(literal 1/4 binary32)))
(exp.f32 (/.f32 (log.f32 (*.f32 x x)) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 x x)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32)))
(neg.f32 x)
(sinh.f32 (asinh.f32 x))
x

eval213.0ms (4%)

Memory: -18.9MiB live, 179.9MiB allocated; 117ms collecting garbage
Compiler: Compiled 12 795 to 2 825 computations (77.9% saved)

prune22.0ms (0.4%)

Memory

-18.7MiB live, 28.3MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

548 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
▶	32.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)))) x)
▶	23.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x)
▶	99.6%	(copysign.f32 (asinh.f32 x) x)
▶	59.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)

Compiler

Compiled 174 to 118 computations (32.2% saved)

simplify183.0ms (3.5%)

Memory

12.0MiB live, 154.4MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
cost-diff	0	(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)))) x)
cost-diff	4	(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 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	(asinh.f32 x)
cost-diff	0	(copysign.f32 (asinh.f32 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	308
0	60	308
1	82	308
2	136	300
3	273	284
4	512	284
5	1331	280
6	3001	280
7	4316	280
8	5660	280
9	7390	280
0	8201	267

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (2.1%)

Memory

7.1MiB live, 148.5MiB allocated; 29ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x)))
accuracy	0.05078125	(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy	0.127285009768442	(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
accuracy	13.099455243777099	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x))))
accuracy	0.0	(neg.f32 x)
accuracy	0.0	(fabs.f32 x)
accuracy	14.081801487955829	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))))
accuracy	21.55045590559369	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)))
accuracy	0.01171875	(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
accuracy	6.128429651117433	(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
accuracy	14.081801487955829	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
accuracy	16.27585710536571	#s(approx (+ (* x x) 1) (*.f32 x x))
accuracy	0.0	(/.f32 (fabs.f32 x) x)
accuracy	0.0	(fabs.f32 x)
accuracy	14.081801487955829	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)))
accuracy	24.455853972938563	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))
accuracy	0.0	(copysign.f32 (asinh.f32 x) x)
accuracy	0.125	(asinh.f32 x)

Samples

47.0ms	97×	1	valid
35.0ms	159×	0	valid

Compiler

Compiled 218 to 25 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 19.0ms (28.4% of total)

ival-copysign: 10.0ms (15% of total)

ival-hypot: 7.0ms (10.5% of total)

adjust: 6.0ms (9% of total)

ival-mult: 6.0ms (9% of total)

ival-log: 6.0ms (9% of total)

ival-asinh: 5.0ms (7.5% of total)

ival-div: 3.0ms (4.5% of total)

ival-log1p: 3.0ms (4.5% of total)

ival-fabs: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.9%)

Memory

-10.8MiB live, 33.0MiB allocated; 15ms collecting garbage

Counts

23 → 61

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((copysign (asinh x) x) (asinh x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg x) (/ 1/2 (+ (fabs x) 1)))
11.0ms	x	@	-inf	((copysign (asinh x) x) (asinh x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg x) (/ 1/2 (+ (fabs x) 1)))
6.0ms	x	@	inf	((copysign (asinh x) x) (asinh x) (+ (* (/ (fabs x) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (neg x) (/ 1/2 (+ (fabs x) 1)))

Time

Variable

Point

Expression

11.0ms

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

11.0ms

-inf

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

6.0ms

inf

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

simplify194.0ms (3.7%)

Memory

24.0MiB live, 250.8MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	856
1	727	803
2	2654	785
0	8266	736

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

Calls

Call 1

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

Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) #s(literal 1/6 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32) (-.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) #s(literal 1/6 binary32))) x)
(fabs x)
(fabs.f32 x)
(+ x (fabs x))
(+.f32 (fabs.f32 x) 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 #s(literal 1 binary32) (fabs.f32 x))) 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 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.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 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 45 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/24 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (fabs x) (* -1 x))
(-.f32 (fabs.f32 x) x)
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(/ (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 (-.f32 (.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 x)
(neg.f32 x)
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) 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)))
(* 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 (- (/ (fabs x) x) 1))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f32 (/.f32 (log1p.f32 (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) 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)
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 1/2 binary32))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (log.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f32 (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 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 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #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 (fabs.f32 x) (/.f32 (fma.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) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 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)))))
(neg.f32 (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))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f32 (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))

rewrite244.0ms (4.6%)

Memory

-24.6MiB live, 278.3MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	281
0	60	253
1	177	245
2	1170	179
0	9529	174

Stop Event

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

Counts

23 → 290

Calls

Call 1

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

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

eval47.0ms (0.9%)

Memory: 37.1MiB live, 126.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 13 341 to 1 925 computations (85.6% saved)

prune10.0ms (0.2%)

Memory

-31.2MiB live, 25.1MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	380	4	384
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	384	5	389

Accuracy

100.0%

Counts

389 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
▶	32.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f32 (fabs.f32 x) x)))) x)
✓	99.6%	(copysign.f32 (asinh.f32 x) x)
▶	11.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
▶	57.7%	(copysign.f32 #s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x)

Compiler

Compiled 98 to 65 computations (33.7% saved)

simplify127.0ms (2.4%)

Memory

38.9MiB live, 125.9MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f32 x x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x)))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
cost-diff	0	#s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f32 (fabs.f32 x) x))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg 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) (neg 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) (neg x)) (-.f32 (fabs.f32 x) x)))) x)
cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
cost-diff	0	(pow.f32 x #s(literal 3 binary32))
cost-diff	0	(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
cost-diff	0	#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))
cost-diff	0	(copysign.f32 #s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	314
0	63	314
1	91	314
2	163	306
3	412	298
4	861	298
5	1993	298
6	3204	294
7	3820	294
8	4956	294
9	5527	294
10	7244	294
0	8140	277

Stop Event

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

Calls

Call 1

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

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

localize196.0ms (3.7%)

Memory

-13.6MiB live, 280.7MiB allocated; 39ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
accuracy	0.0	(+.f32 x x)
accuracy	14.081801487955829	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x)))
accuracy	24.903856195644032	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))
accuracy	0.0	(fabs.f32 x)
accuracy	0.0	#s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f32 (fabs.f32 x) x))
accuracy	14.081801487955829	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f32 (fabs.f32 x) x))))
accuracy	21.55045590559369	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f32 (fabs.f32 x) x)))
accuracy	0.05078125	(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy	0.127285009768442	(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
accuracy	13.099455243777099	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)))
accuracy	16.297985521183342	#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
accuracy	0.0	(pow.f32 x #s(literal 3 binary32))
accuracy	0.0	(copysign.f32 #s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x)
accuracy	0.33025507062191134	(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
accuracy	14.465976205419866	#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))

Samples

91.0ms	159×	0	valid
66.0ms	97×	1	valid

Compiler

Compiled 174 to 33 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-add: 37.0ms (26.2% of total)

ival-pow: 34.0ms (24.1% of total)

ival-div: 17.0ms (12% of total)

adjust: 11.0ms (7.8% of total)

ival-mult: 9.0ms (6.4% of total)

ival-hypot: 7.0ms (5% of total)

ival-log: 6.0ms (4.2% of total)

ival-asinh: 5.0ms (3.5% of total)

ival-copysign: 5.0ms (3.5% of total)

const: 4.0ms (2.8% of total)

ival-log1p: 3.0ms (2.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

-13.3MiB live, 32.5MiB allocated; 6ms collecting garbage

Counts

19 → 50

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) -1/6) x) (pow x 3) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (fabs x))

5.0ms

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) -1/6) x) (pow x 3) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (fabs x))

4.0ms

-inf

((copysign (asinh x) x) (asinh x) (+ (* (pow x 3) -1/6) x) (pow x 3) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ x x) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (fabs x))

simplify172.0ms (3.3%)

Memory

-2.0MiB live, 183.8MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	726
1	664	683
2	2453	656
0	8239	619

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

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

Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) #s(literal 1/6 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32) (-.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) #s(literal 1/6 binary32))) x)
(pow x 3)
(pow.f32 x #s(literal 3 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 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal 1/2 binary32) (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 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.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 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 45 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/24 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f32 (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal 1/2 binary32))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 (fma.f32 (-.f32 (.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 #s(literal 1 binary32) (fabs.f32 x)))
(fabs x)
(fabs.f32 x)
(+ (fabs x) (* -1 x))
(-.f32 (fabs.f32 x) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(* -1/6 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 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)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f32 (/.f32 (log1p.f32 (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal 1/2 binary32)))
(* 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)
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 1/2 binary32))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (log.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #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 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #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 (fabs.f32 x) (/.f32 (fma.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) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x))

rewrite144.0ms (2.7%)

Memory

17.6MiB live, 245.6MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	296
0	63	272
1	196	264
2	1303	179
0	9933	170

Stop Event

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

Counts

19 → 174

Calls

Call 1

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

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x))) (.f32 (/.f32 (.f32 x x) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) (/.f32 (.f32 x x) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))) (/.f32 (.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))))) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 x x) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) (fma.f32 (/.f32 (.f32 x x) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) (/.f32 (.f32 x x) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) (.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) (/.f32 (.f32 x x) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32))) (fma.f32 x x (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32)))) (fma.f32 x x (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))) (/.f32 (.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))) (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))))) (.f32 (/.f32 (.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))))))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x x)))) (neg.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) (.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x) (.f32 x x))) (.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)))
(/.f32 (fma.f32 (.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))) (.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))) (pow.f32 x #s(literal 3 binary32)))) (.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)))))
(/.f32 (-.f32 (.f32 x x) (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 x (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (-.f32 (.f32 x x) (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x x))) (neg.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 9 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32)))))))
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(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) x))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 x x) x) #s(literal 3 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 (.f32 x x) x) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (-.f32 (.f32 x x) x))))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal -1 binary32) x))))
(/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (+.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)))
(*.f32 (fabs.f32 (/.f32 x x)) x)
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x)
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(*.f32 (/.f32 x x) x)
(*.f32 #s(literal 1 binary32) x)
(*.f32 x (fabs.f32 (/.f32 x x)))
(*.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 x (/.f32 x x))
(*.f32 x #s(literal 1 binary32))
(sqrt.f32 (*.f32 x x))
(/.f32 (*.f32 x x) x)
(/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 x x))
(pow.f32 (sqrt.f32 x) #s(literal 2 binary32))
(pow.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(pow.f32 x #s(literal 1 binary32))
(fabs.f32 x)
(+.f32 (cosh.f32 (log.f32 x)) (sinh.f32 (log.f32 x)))
(exp.f32 (/.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32)))
(exp.f32 (log.f32 x))
(neg.f32 x)
x

eval35.0ms (0.7%)

Memory: 17.2MiB live, 60.3MiB allocated; 23ms collecting garbage
Compiler: Compiled 7 864 to 1 369 computations (82.6% saved)

prune23.0ms (0.4%)

Memory

-16.0MiB live, 41.3MiB allocated; 12ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	235	12	247
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	237	15	252

Accuracy

100.0%

Counts

252 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
✓	32.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f32 (fabs.f32 x) x)))) x)
✓	99.6%	(copysign.f32 (asinh.f32 x) x)
	11.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 #s(literal 1 binary32) x)))) x)
	9.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) x))) x)
▶	11.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))) x)
	9.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) x) x))) x)
	11.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x))) x)
	11.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
	5.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 x) (sqrt.f32 x)))) x) x))) x)
▶	11.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))) x)
▶	11.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
	57.7%	(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32) x)) x)
▶	57.7%	(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)) x)
▶	57.7%	(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)) x)

Compiler

Compiled 895 to 557 computations (37.8% saved)

simplify326.0ms (6.2%)

Memory

14.6MiB live, 340.1MiB allocated; 68ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x)))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
cost-diff	1	(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))
cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))) x)
cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))) x)
cost-diff	0	(*.f32 x x)
cost-diff	0	#s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x))
cost-diff	0	(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)) x)
cost-diff	2	(fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)
cost-diff	0	(.f32 #s(literal -1/6 binary32) (.f32 x x))
cost-diff	0	#s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x))
cost-diff	0	(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)) x)
cost-diff	2	(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	499
0	72	499
1	120	499
2	265	493
3	692	493
4	1474	493
5	2185	493
6	2776	493
7	4619	493
0	8533	454

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)) x)
#s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)
(.f32 #s(literal -1/6 binary32) (.f32 x x))
#s(literal -1/6 binary32)
(*.f32 x x)
x
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)) x)
#s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x))
(fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)
(*.f32 x x)
x
(*.f32 x #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)))
#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))
#s(literal 1/2 binary32)
(+.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))))
#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))
(.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))
(/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x))
#s(literal 1/2 binary32)
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 x x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x)))
#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))
(.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x)
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32)))
#s(literal 1/2 binary32)
(fma.f32 x x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) x)

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

localize223.0ms (4.2%)

Memory

-12.1MiB live, 178.5MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2571535449248345	(/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32)))
accuracy	5.768625494362209	(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))
accuracy	13.099455243777099	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x)))
accuracy	21.571471966116214	#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))
accuracy	0.0546875	(/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x))
accuracy	6.260262723294544	(.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))
accuracy	13.099455243777099	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))))
accuracy	21.573415064083992	#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))
accuracy	0.04296875	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)
accuracy	0.139003759768442	(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x)
accuracy	13.099455243777099	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)))
accuracy	24.343386346720546	#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))
accuracy	0.0	(*.f32 x x)
accuracy	0.0703125	(fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)
accuracy	0.3203125	(*.f32 x #s(literal -1/6 binary32))
accuracy	14.465976205419866	#s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x))
accuracy	0.0	(*.f32 x x)
accuracy	0.02734375	(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)
accuracy	0.26253143765098363	(.f32 #s(literal -1/6 binary32) (.f32 x x))
accuracy	14.465976205419866	#s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x))

Samples

145.0ms	97×	1	valid
52.0ms	159×	0	valid

Compiler

Compiled 271 to 38 computations (86% saved)

Precisions

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

ival-add: 106.0ms (61.8% of total)

ival-mult: 18.0ms (10.5% of total)

adjust: 10.0ms (5.8% of total)

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

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

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

ival-asinh: 5.0ms (2.9% of total)

ival-copysign: 5.0ms (2.9% of total)

const: 4.0ms (2.3% of total)

ival-log1p: 3.0ms (1.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

30.2MiB live, 30.2MiB allocated; 0ms collecting garbage

Counts

24 → 89

Calls

Call 1

Inputs
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)) x)
#s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x))
(.f32 #s(literal -1/6 binary32) (.f32 x x))
(fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)) x)
#s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x))
(*.f32 x x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)))
#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))))
#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))
(.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x)))
#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))
(*.f32 x #s(literal -1/6 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x)
(/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32)))

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

((+ (* (* -1/6 (* x x)) x) x) (copysign (asinh x) x) (asinh x) (* -1/6 (* x x)) (+ (* (* x x) (* x -1/6)) x) (copysign (asinh x) x) (asinh x) (* x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 x)) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- 1 x)) (* x x)) (* (/ 1/2 (+ (* x x) 1)) (- 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* x -1/6) (* (/ 1/2 (+ 1 x)) x) (/ 1/2 (- 1 x)) (/ 1/2 (+ (* x x) 1)))

4.0ms

inf

((+ (* (* -1/6 (* x x)) x) x) (copysign (asinh x) x) (asinh x) (* -1/6 (* x x)) (+ (* (* x x) (* x -1/6)) x) (copysign (asinh x) x) (asinh x) (* x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 x)) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- 1 x)) (* x x)) (* (/ 1/2 (+ (* x x) 1)) (- 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* x -1/6) (* (/ 1/2 (+ 1 x)) x) (/ 1/2 (- 1 x)) (/ 1/2 (+ (* x x) 1)))

4.0ms

-inf

((+ (* (* -1/6 (* x x)) x) x) (copysign (asinh x) x) (asinh x) (* -1/6 (* x x)) (+ (* (* x x) (* x -1/6)) x) (copysign (asinh x) x) (asinh x) (* x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 x)) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- 1 x)) (* x x)) (* (/ 1/2 (+ (* x x) 1)) (- 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (* x -1/6) (* (/ 1/2 (+ 1 x)) x) (/ 1/2 (- 1 x)) (/ 1/2 (+ (* x x) 1)))

simplify186.0ms (3.5%)

Memory

2.0MiB live, 242.7MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1190
1	921	1125
2	3160	1085
0	8460	1025

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 88

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) #s(literal 1/6 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) x) x) #s(literal 1/6 binary32)) x)
(* -1/6 (pow x 2))
(.f32 (.f32 x x) #s(literal -1/6 binary32))
(pow x 2)
(*.f32 x 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 #s(literal 1 binary32) (fabs.f32 x))) 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 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.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 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 45 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/24 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(* 1/2 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) x)
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(.f32 (.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1/2 binary32)) x) x)
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
(.f32 (.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) #s(literal 1/2 binary32)) x #s(literal 1/2 binary32)) x) x)
(* (pow x 2) (+ 1/2 (* 1/2 x)))
(.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1/2 binary32)) x) x)
(* (pow x 2) (+ 1/2 (* x (+ 1/2 (* 1/2 x)))))
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal 1/2 binary32)) x) x)
(* (pow x 2) (+ 1/2 (* x (+ 1/2 (* x (+ 1/2 (* 1/2 x)))))))
(.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) x #s(literal 1/2 binary32))) (*.f32 x x))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/2 x))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* -1/2 x) 1/2)))
(fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* x (- (* 1/2 x) 1/2)) 1/2)))
(fma.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal 1/2 binary32)) x #s(literal 1/2 binary32))
(* -1/6 x)
(*.f32 #s(literal -1/6 binary32) x)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* x (+ 1/2 (* -1/2 x)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x)
(* x (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1/2 binary32)) x)
(* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
(.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) #s(literal 1/2 binary32)) x #s(literal 1/2 binary32)) x)
(+ 1/2 (* 1/2 x))
(fma.f32 #s(literal 1/2 binary32) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ 1/2 (* 1/2 x))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ 1/2 (* x (+ 1/2 (* 1/2 x))))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) x #s(literal 1/2 binary32)))
(+ 1/2 (* -1/2 (pow x 2)))
(fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))
(+ 1/2 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(fma.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1/2 binary32))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) #s(literal 1/2 binary32)) x) x) #s(literal 1/2 binary32)) (.f32 x x) #s(literal 1/2 binary32))
(* -1/6 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 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 (fabs.f32 x) x) (-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) 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))))
(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 (fabs.f32 x) x) (-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x))) (log.f32 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f32 (/.f32 (log1p.f32 (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) #s(literal 1/2 binary32)) x #s(literal -1/2 binary32))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x)) x)
(* -1/2 x)
(*.f32 #s(literal -1/2 binary32) x)
(* -1 (* x (+ 1/2 (* 1/2 (/ 1 x)))))
(fma.f32 #s(literal -1/2 binary32) x #s(literal -1/2 binary32))
(* x (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) x)) 1/2))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) x) #s(literal 1/2 binary32)) x)
(* x (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) (pow x 2))) (+ 1/2 (* 1/2 (/ 1 x)))))
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 1/2 binary32)) x #s(literal -1/2 binary32))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 1/2 (/ 1 x)) 1/2) x)
(/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x)
(/ (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) 1/2) x)
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal 1/2 binary32)) x)
(/ (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (+ 1/2 (* 1/2 (/ 1 (pow x 3))))) x)
(/.f32 (-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(- 1/2 (* 1/2 (/ 1 x)))
(-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))
(- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal 1/2 binary32))
(- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x))
(* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) x))
(/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) x)
(/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) x)) 1/2) x)
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) x) #s(literal -1/2 binary32)) x)
(/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) (pow x 2))) (+ 1/2 (* 1/2 (/ 1 x)))) x)
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) x) #s(literal -1/2 binary32)) x) #s(literal 1/2 binary32)) x)
(/ 1/2 (pow x 2))
(/.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(/ (- 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (*.f32 x x))
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (pow x 2))
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 6 binary32)))) (*.f32 x x))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (log.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 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 (fabs.f32 x) (/.f32 (fma.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) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))
(*.f32 (neg.f32 x) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) (neg.f32 x)) #s(literal 1/2 binary32)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))
(*.f32 (neg.f32 x) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) (neg.f32 x)) #s(literal 1/2 binary32)) (neg.f32 x)) #s(literal 1/2 binary32)))
(* -1 (* x (+ 1/2 (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))))))
(fma.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1/2 binary32)) x #s(literal -1/2 binary32))
(* -1 (* x (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) x)) 1/2) x)))))
(fma.f32 #s(literal -1/2 binary32) x (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) (*.f32 x x)) x #s(literal -1/2 binary32)))
(* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))
(/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) x))) x))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal 1/2 binary32)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))) x))) x))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x)) x)) (neg.f32 x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x))
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x))
(* -1 (/ (+ 1/2 (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))) x))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) x) #s(literal -1/2 binary32)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) x)) 1/2) x))) x))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) x) #s(literal -1/2 binary32)) x) #s(literal -1/2 binary32)) x)

rewrite260.0ms (4.9%)

Memory

-21.9MiB live, 229.8MiB allocated; 100ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	436
0	72	404
1	221	374
2	1483	350
0	9148	317

Stop Event

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

Counts

24 → 450

Calls

Call 1

Inputs
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)) x)
#s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x))
(.f32 #s(literal -1/6 binary32) (.f32 x x))
(fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)) x)
#s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x))
(*.f32 x x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)))
#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))))
#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))
(.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x))
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x)))
#s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))
(*.f32 x #s(literal -1/6 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x)
(/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32)))

Outputs
(.f32 (fma.f32 (.f32 x #s(literal -1/6 binary32)) x #s(literal 1 binary32)) x)
(.f32 x (fma.f32 (.f32 x #s(literal -1/6 binary32)) x #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x))) (.f32 (/.f32 (.f32 x x) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) (/.f32 (.f32 x x) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (neg.f32 (.f32 x #s(literal -1/6 binary32))) (.f32 x x)) (.f32 (neg.f32 (.f32 x #s(literal -1/6 binary32))) (.f32 x x)))) (+.f32 x (.f32 (neg.f32 (.f32 x #s(literal -1/6 binary32))) (*.f32 x x))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (neg.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32))) x) (.f32 (neg.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32))) x))) (+.f32 x (.f32 (neg.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32))) x)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))) (/.f32 (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))))) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))))) (-.f32 (/.f32 (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32))) (fma.f32 x x (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 x x) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) (fma.f32 (/.f32 (.f32 x x) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) (/.f32 (.f32 x x) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) (.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) (/.f32 (.f32 x x) (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 (.f32 x #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 3 binary32))) (fma.f32 x x (fma.f32 (.f32 (neg.f32 (.f32 x #s(literal -1/6 binary32))) (.f32 x x)) (.f32 (neg.f32 (.f32 x #s(literal -1/6 binary32))) (.f32 x x)) (.f32 x (.f32 (neg.f32 (.f32 x #s(literal -1/6 binary32))) (*.f32 x x))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32))) x) #s(literal 3 binary32))) (fma.f32 x x (fma.f32 (.f32 (neg.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32))) x) (.f32 (neg.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32))) x) (.f32 x (.f32 (neg.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32))) x)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32))) (fma.f32 x x (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))) (/.f32 (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))) (-.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))))))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x x)))) (neg.f32 (neg.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)) (.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x) (.f32 x x))) (.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x) (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)))
(/.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))) (.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))) (pow.f32 x #s(literal 3 binary32)))) (.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))))
(/.f32 (-.f32 (.f32 x x) (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 x (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (-.f32 (.f32 x x) (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x x))) (neg.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x)))
(/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)))))
(/.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (.f32 x x)) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) x))
(/.f32 (fma.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1/216 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32))))))
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(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 x x) x) #s(literal 3 binary32)))) (.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))) (.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) x))))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1/2 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/2 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/2 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (neg.f32 (-.f32 x #s(literal 1 binary32)))))
(/.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal 1 binary32)))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 x #s(literal 1 binary32))))
(/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.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 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 4 binary32)))) (.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 6 binary32)))) (.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal 1 binary32))))

eval59.0ms (1.1%)

Memory: -3.8MiB live, 84.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 15 989 to 2 313 computations (85.5% saved)

prune48.0ms (0.9%)

Memory

5.9MiB live, 65.8MiB allocated; 9ms collecting garbage

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	368	17	385
Fresh	5	2	7
Picked	1	4	5
Done	0	3	3
Total	374	26	400

Accuracy

100.0%

Counts

400 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
✓	32.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) (neg x)) (-.f32 (fabs.f32 x) x)))) x)
✓	99.6%	(copysign.f32 (asinh.f32 x) x)
	9.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))) x)
	9.0%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))))) x)
	11.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) (-.f32 x #s(literal 1 binary32))))) x)
	10.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal 1 binary32))) x))) x)
✓	11.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))) x)
	10.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x))))) x)
	10.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (fma.f32 x x x) (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x))) x)
	9.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) x) x))) x)
	11.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (fma.f32 x x #s(literal 1 binary32))) x) x))) x)
	11.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x))) x)
	5.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 x) (sqrt.f32 x)))) x) x))) x)
✓	11.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))) x)
	9.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) x))) x) x))) x)
✓	11.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
	8.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (.f32 #s(approx (/ 1/2 (+ ( x x) 1)) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x)) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
	9.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (.f32 #s(approx (/ 1/2 (+ ( x x) 1)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
	8.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 x)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal 1/2 binary32)) x)) x) x))) x)
	20.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 x)) (/.f32 #s(literal -1/2 binary32) x)) x) x))) x)
	10.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 x (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x x)))) x)
	11.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (/ 1/2 (- 1 x)) (* x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1/2 binary32))))) x)
	20.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (/ 1/2 (- 1 x)) (* x x)) (*.f32 #s(literal -1/2 binary32) x)))) x)
	11.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (+ 1 x)) x) x) (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32))))) x)
✓	57.7%	(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)) x)

Compiler

Compiled 2 490 to 919 computations (63.1% saved)

regimes55.0ms (1%)

Memory

-22.6MiB live, 23.5MiB allocated; 6ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
9.0ms	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)

regimes15.0ms (0.3%)

Memory

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

Counts

30 → 1

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (/ 1/2 (- 1 x)) (* x x)) (*.f32 #s(literal -1/2 binary32) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (+ 1 x)) x) x) (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (/ 1/2 (- 1 x)) (* x x)) (fma.f32 #s(literal -1/2 binary32) x #s(literal -1/2 binary32))))) x)
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)) x)
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)) x)) x)
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 x)) (/.f32 #s(literal -1/2 binary32) x)) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 #s(literal 1 binary32) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) (-.f32 x #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 x (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (fma.f32 x x x) (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (fma.f32 x x #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (.f32 #s(approx (/ 1/2 (+ ( x x) 1)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 x)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal 1/2 binary32)) x)) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 x) (sqrt.f32 x)))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (.f32 #s(approx (/ 1/2 (+ ( x x) 1)) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x)) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) x))) x) x))) x)

Outputs
(copysign.f32 #s(approx (asinh x) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) x x)) x)

Calls

2 calls:

7.0ms	x
6.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
57.7%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
57.7%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Accuracy

Total -3.0b remaining (-11.9%)

Threshold costs -3b (-11.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (/ 1/2 (- 1 x)) (* x x)) (*.f32 #s(literal -1/2 binary32) 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
20.5%	1	`x`
20.5%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify24.0ms (0.4%)

Memory

-19.4MiB live, 27.6MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	60
1	54	60
2	113	60
3	277	60
4	521	60
5	724	60
6	777	60

Stop Event

1×

saturated

Calls

Call 1

Inputs

(copysign.f32 (asinh.f32 x) x)

(copysign.f32 #s(approx (asinh x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) x x)) x)

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

Outputs

(copysign.f32 (asinh.f32 x) x)

(copysign.f32 #s(approx (asinh x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) x x)) x)

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

derivations756.0ms (14.3%)

Memory

-6.3MiB live, 418.0MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	586
1	568	548
2	2202	530
0	8591	490
0	44	296
0	63	272
1	196	264
2	1303	179
0	9933	170
0	9	44
0	16	32
1	56	24
2	375	18
3	4916	18
0	8251	17
0	278	1190
1	921	1125
2	3160	1085
0	8460	1025
0	227	856
1	727	803
2	2654	785
0	8266	736

Stop Event

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

Compiler

Compiled 60 to 34 computations (43.3% saved)

preprocess89.0ms (1.7%)

Memory: 13.5MiB live, 117.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 184 to 106 computations (42.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample653.0ms (12.3%)

explain296.0ms (5.6%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize49.0ms (0.9%)

series5.0ms (0.1%)

simplify213.0ms (4%)

rewrite209.0ms (3.9%)

eval213.0ms (4%)

prune22.0ms (0.4%)

simplify183.0ms (3.5%)

localize111.0ms (2.1%)

series47.0ms (0.9%)

simplify194.0ms (3.7%)

rewrite244.0ms (4.6%)

eval47.0ms (0.9%)

prune10.0ms (0.2%)

simplify127.0ms (2.4%)

localize196.0ms (3.7%)

series17.0ms (0.3%)

simplify172.0ms (3.3%)

rewrite144.0ms (2.7%)

eval35.0ms (0.7%)

prune23.0ms (0.4%)

simplify326.0ms (6.2%)

localize223.0ms (4.2%)

series13.0ms (0.2%)

simplify186.0ms (3.5%)

rewrite260.0ms (4.9%)

eval59.0ms (1.1%)

prune48.0ms (0.9%)

regimes55.0ms (1%)

regimes15.0ms (0.3%)

regimes3.0ms (0.1%)

simplify24.0ms (0.4%)

derivations756.0ms (14.3%)

preprocess89.0ms (1.7%)

end0.0ms (0%)

Profiling