Metrics for Rust f32::asinh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

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)

sample683.0ms (16.4%)

Memory

21.7MiB live, 692.6MiB allocated

Samples

525.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-asinh: 194.0ms (95.7% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain310.0ms (7.4%)

Memory

-28.4MiB live, 320.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
117	-	-	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
60	-	-	`(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	115	0
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	60	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	60
↳	`(*.f32 x x)`	overflow	60
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	2	0
↳	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	2
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	60
↳	`(*.f32 x x)`	overflow	60

Confusion

	Predicted +	Predicted -
+	175	0
-	0	81

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	175	0	0
-	0	0	81

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	81
1	173
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms	176×	1	valid
41.0ms	336×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-copysign: 27.0ms (27.2% of total)

adjust: 24.0ms (24.2% of total)

ival-hypot: 14.0ms (14.1% of total)

ival-mult: 13.0ms (13.1% of total)

ival-log: 12.0ms (12.1% of total)

ival-add: 6.0ms (6% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess16.0ms (0.4%)

Memory

-6.7MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs
(copysign.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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.3%	(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)

simplify4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

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 (1.2%)

Memory

24.5MiB live, 109.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f32 x)
accuracy	0.0234375	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	6.456131750389476	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy	12.31549127801479	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))

Samples

23.0ms	168×	0	valid
19.0ms	88×	1	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-copysign: 13.0ms (37.6% of total)

ival-hypot: 7.0ms (20.3% of total)

ival-log: 6.0ms (17.4% of total)

ival-add: 3.0ms (8.7% of total)

adjust: 2.0ms (5.8% of total)

ival-mult: 2.0ms (5.8% of total)

ival-fabs: 2.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (1.1%)

Memory

-42.7MiB live, 11.8MiB allocated

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
42.0ms	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))
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))

Time

Variable

Point

Expression

42.0ms

-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))

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))

simplify184.0ms (4.4%)

Memory

36.9MiB live, 213.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

Outputs
1
#s(literal 1 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))

rewrite219.0ms (5.3%)

Memory

19.8MiB live, 255.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 510

Calls

Call 1

Inputs
(+.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

eval76.0ms (1.8%)

Memory: -15.9MiB live, 163.9MiB allocated
Compiler: Compiled 12 795 to 2 825 computations (77.9% saved)

prune10.0ms (0.2%)

Memory

-3.3MiB live, 42.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	542	5	547
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	542	6	548

Accuracy

99.9%

Counts

548 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
▶	35.0%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
▶	25.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x)
▶	30.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x)))) x)
▶	26.2%	(copysign.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
▶	99.5%	(copysign.f32 (asinh.f32 x) x)

Compiler

Compiled 184 to 133 computations (27.7% saved)

simplify83.0ms (2%)

Memory

4.1MiB live, 154.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	426
0	75	426
1	96	426
2	138	426
3	225	426
4	430	406
5	1115	406
6	2322	401
7	3601	401
8	5595	401
0	8335	378

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 (+.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 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
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)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x)))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x))
(.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x)
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(literal -1/2 binary32)
(*.f32 x x)
#s(literal -1 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (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))
(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)
(-.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))))
(-.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 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
#s(literal 1/16 binary32)
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(literal -1/2 binary32)
(*.f32 x x)
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1/8 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)

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

localize219.0ms (5.3%)

Memory

21.8MiB live, 367.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	7.843750122268889	(-.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))))
accuracy	12.31549127801479	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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))))
accuracy	14.648817543339044	(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)
accuracy	23.02387957733897	#s(approx (sqrt (+ (* x x) 1)) (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))
accuracy	0.6694709323212383	(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
accuracy	6.942888966869297	(.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x)
accuracy	12.31549127801479	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x))))
accuracy	22.169541399990422	#s(approx (sqrt (+ (* x x) 1)) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x))
accuracy	0.0	(*.f32 x x)
accuracy	6.456131750389476	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy	7.493573691403721	(+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	12.165820004971284	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	0.0234375	(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
accuracy	6.456131750389476	(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
accuracy	12.31549127801479	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
accuracy	14.253844231853321	#s(approx (+ (* x x) 1) (*.f32 x x))
accuracy	0.0	(copysign.f32 (asinh.f32 x) x)
accuracy	0.1640625	(asinh.f32 x)

Samples

123.0ms	147×	1	valid
65.0ms	109×	0	valid

Compiler

Compiled 285 to 33 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-fabs: 36.0ms (21.6% of total)

adjust: 31.0ms (18.6% of total)

ival-pow: 24.0ms (14.4% of total)

ival-copysign: 16.0ms (9.6% of total)

ival-log: 12.0ms (7.2% of total)

ival-hypot: 10.0ms (6% of total)

ival-add: 9.0ms (5.4% of total)

ival-asinh: 8.0ms (4.8% of total)

ival-div: 7.0ms (4.2% of total)

ival-mult: 7.0ms (4.2% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series45.0ms (1.1%)

Memory

-29.7MiB live, 15.9MiB allocated

Counts

26 → 77

Calls

Call 1

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

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))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
1
(+ 1 (pow x 2))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ 1/16 (pow x 5))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(/ -1/2 (pow x 2))
(/ 1/16 (pow x 6))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ 1/2 (pow x 2))
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (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 (* -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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((copysign (asinh x) x) (asinh 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) 1) (copysign (log (+ x (sqrt (+ (* x x) 1)))) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* (+ (/ -1/2 (* x x)) -1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) 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) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* x x) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))))
3.0ms	x	@	inf	((copysign (asinh x) x) (asinh 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) 1) (copysign (log (+ x (sqrt (+ (* x x) 1)))) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* (+ (/ -1/2 (* x x)) -1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) 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) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* x x) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))))
3.0ms	x	@	-inf	((copysign (asinh x) x) (asinh 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) 1) (copysign (log (+ x (sqrt (+ (* x x) 1)))) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* (+ (/ -1/2 (* x x)) -1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) 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) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* x x) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))))

Time

Variable

Point

Expression

3.0ms

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

3.0ms

inf

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

3.0ms

-inf

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

simplify239.0ms (5.7%)

Memory

16.5MiB live, 198.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	1078
1	877	1026
2	3107	1010
0	8347	952

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 76

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))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
1
(+ 1 (pow x 2))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ 1/16 (pow x 5))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(/ -1/2 (pow x 2))
(/ 1/16 (pow x 6))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ 1/2 (pow x 2))
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (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 (* -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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(* -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 (.f32 #s(literal 3/40 binary32) x) x (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)) #s(literal 1/6 binary32))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) 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 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/8 binary32) (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 (* (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)))
(fabs x)
(fabs.f32 x)
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 (neg.f32 x) x #s(literal -1/2 binary32)) x)
(/ 1/16 (pow x 5))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))
(/.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5))
(/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32))) (.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32)))
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))
(+ 1 (* (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 #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))
(pow x 2)
(*.f32 x x)
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ 1/16 (pow x 6))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6))
(/.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 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 (+.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 (/ (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 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 2 binary32)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 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)
(* 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 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) 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)
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.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 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (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))) (* 5/96 (/ 1 (pow x 6)))))
(-.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))
(* -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 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal 1/2 binary32) (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 (* -1 (/ (fabs x) x)))))
(*.f32 (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1 binary32) #s(literal -1/2 binary32)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(.f32 (neg.f32 x) (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) 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))

rewrite167.0ms (4%)

Memory

17.0MiB live, 248.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	361
0	75	317
1	229	317
2	1693	305
0	9569	293

Stop Event

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

Counts

26 → 442

Calls

Call 1

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

Outputs
(copysign.f32 (asinh.f32 x) x)
(log.f32 (exp.f32 (asinh.f32 x)))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (cosh.f32 (asinh.f32 x)) x)))
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (neg.f32 (-.f32 x (cosh.f32 (asinh.f32 x))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) x) (*.f32 x 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 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (.f32 x x) (.f32 (cosh.f32 (asinh.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))))
(asinh.f32 x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x)
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
(-.f32 (log.f32 (-.f32 #s(approx (+ (* x x) 1) (.f32 x x)) (.f32 x x))) (log.f32 (-.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))
(-.f32 (log.f32 (neg.f32 (-.f32 (.f32 x x) #s(approx (+ ( x x) 1) (.f32 x x))))) (log.f32 (neg.f32 (-.f32 x (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32))))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(approx (+ ( x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))))
(-.f32 (log.f32 (-.f32 (.f32 x x) #s(approx (+ ( x x) 1) (.f32 x x)))) (log.f32 (-.f32 x (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32)))) (log.f32 (+.f32 #s(approx (+ ( x x) 1) (.f32 x x)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32)))) (log.f32 (-.f32 (fma.f32 x x #s(approx (+ ( x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))))
(/.f32 (neg.f32 (-.f32 #s(approx (+ (* x x) 1) (.f32 x x)) (.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 x x) #s(approx (+ ( x x) 1) (.f32 x x))))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32))))) (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(approx (+ ( x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))))
(/.f32 (-.f32 (.f32 (.f32 x x) (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (.f32 x x))))) (.f32 (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (.f32 x x)))) #s(approx (+ ( x x) 1) (.f32 x x)))) (.f32 (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (.f32 x x)))) (-.f32 x (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))))))
(/.f32 (-.f32 #s(approx (+ (* x x) 1) (.f32 x x)) (.f32 x x)) (-.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
(/.f32 (neg.f32 (-.f32 (.f32 x x) #s(approx (+ ( x x) 1) (.f32 x x)))) (neg.f32 (-.f32 x (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32)))) (neg.f32 (+.f32 #s(approx (+ ( x x) 1) (.f32 x x)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))) x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32)))) (neg.f32 (-.f32 (fma.f32 x x #s(approx (+ ( x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))))
(/.f32 (-.f32 (.f32 x x) #s(approx (+ ( x x) 1) (.f32 x x))) (-.f32 x (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32))) (+.f32 #s(approx (+ ( x x) 1) (.f32 x x)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))) x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 3/2 binary32))) (-.f32 (fma.f32 x x #s(approx (+ ( x x) 1) (.f32 x x))) (.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))
(-.f32 (/.f32 #s(approx (+ (* x x) 1) (.f32 x x)) (-.f32 (sqrt.f32 #s(approx (+ ( x x) 1) (.f32 x x))) x)) (/.f32 (.f32 x x) (-.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 #s(approx (+ ( x x) 1) (.f32 x x))))) (/.f32 #s(approx (+ ( x x) 1) (.f32 x x)) (-.f32 x (sqrt.f32 #s(approx (+ ( x x) 1) (*.f32 x x))))))
(fma.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fma.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))) x)
(fma.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))) x)
(fma.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))))) x)
(fma.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)))) x)
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fma.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)) x)
(fma.f32 (pow.f32 #s(approx (+ (* x x) 1) (.f32 x x)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (+ ( x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fma.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
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(-.f32 (/.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 (+.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))) (/.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1/2 binary32)) (.f32 x x)) #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))))
(-.f32 (/.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (+.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1/2 binary32)) (.f32 x x)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1/2 binary32)) (.f32 x x)))))) (/.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1/2 binary32)) (.f32 x x)) #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1/2 binary32)) (.f32 x x)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1/2 binary32)) (.f32 x x)))))))
(-.f32 (/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) (/.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))) #s(literal -1/8 binary32)) (.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) (/.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))) #s(literal 1/8 binary32)) (.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal -1/8 binary32)) (.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal 1/8 binary32)) (.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 12 binary32))) (/.f32 (.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 12 binary32))))
(-.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 12 binary32))) (/.f32 (.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 12 binary32))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.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))))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (+.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))))))
(-.f32 (/.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 3 binary32)) (+.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/64 binary32)) (pow.f32 x #s(literal 8 binary32))))) (/.f32 (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/64 binary32)) (pow.f32 x #s(literal 8 binary32))))))
(-.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))))
(-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1/2 binary32)) (.f32 x x)))

eval124.0ms (3%)

Memory: 16.7MiB live, 157.0MiB allocated
Compiler: Compiled 20 909 to 3 477 computations (83.4% saved)

prune11.0ms (0.3%)

Memory

-5.6MiB live, 36.2MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	605	2	607
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	608	5	613

Accuracy

99.9%

Counts

613 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
▶	31.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
✓	26.2%	(copysign.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
▶	27.1%	(copysign.f32 (log.f32 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) x)
✓	99.5%	(copysign.f32 (asinh.f32 x) x)

Compiler

Compiled 67 to 48 computations (28.4% saved)

simplify228.0ms (5.5%)

Memory

-29.0MiB live, 176.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	151
0	31	151
1	46	151
2	76	151
3	141	151
4	314	131
5	897	131
6	1929	131
7	2566	131
8	2815	131
9	2894	131
10	2944	131
11	2984	131
12	3550	131
13	3769	131
14	4636	131
15	5219	131
16	5930	131
17	7180	131
0	8077	124

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (2.3%)

Memory

31.7MiB live, 266.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))
accuracy	12.31549127801479	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))))
accuracy	14.330631206304336	#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))
accuracy	22.169541399990422	#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))
accuracy	0.0	(copysign.f32 (log.f32 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) x)
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	12.165820004971284	(log.f32 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	22.60803620533689	#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f32 #s(literal 2 binary32) x))

Samples

66.0ms	147×	1	valid
15.0ms	109×	0	valid

Compiler

Compiled 86 to 21 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-log: 25.0ms (35.4% of total)

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

ival-hypot: 9.0ms (12.7% of total)

ival-copysign: 9.0ms (12.7% of total)

ival-add: 6.0ms (8.5% of total)

adjust: 4.0ms (5.7% of total)

ival-div: 3.0ms (4.2% of total)

ival-fabs: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series52.0ms (1.2%)

Memory

-48.3MiB live, 8.9MiB allocated

Counts

10 → 61

Calls

Call 1

Inputs
(copysign.f32 (log.f32 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) x)
(log.f32 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.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))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 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 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) 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 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 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))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* 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 x)
(* -1 (* x (+ 1 (* 1/2 (/ 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -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)))) (/ 1/8 (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

49.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify153.0ms (3.7%)

Memory

12.6MiB live, 248.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	902
1	798	860
2	2887	832
0	8304	782

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))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 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 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) 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 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 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))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* 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 x)
(* -1 (* x (+ 1 (* 1/2 (/ 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -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)))) (/ 1/8 (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)
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) 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 (*.f32 #s(literal 1/2 binary32) 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 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) x) x (+.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)))
(fabs x)
(fabs.f32 x)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))
(+ 1 (* (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 #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))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 (neg.f32 x) x #s(literal -1/2 binary32)) 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 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 2 binary32)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -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 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) 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 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32)) (log.f32 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 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) 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 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) 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 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)
(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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1 binary32) #s(literal -1/2 binary32)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32))) (neg.f32 x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 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)))))
(*.f32 (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) 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)))) (/ 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))

rewrite176.0ms (4.2%)

Memory

21.9MiB live, 112.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	146
0	31	125
1	103	125
2	684	102
0	9288	97

Stop Event

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

Counts

10 → 107

Calls

Call 1

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

Outputs
(copysign.f32 (log.f32 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
#s(literal 0 binary32)
(copysign.f32 (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
(log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
(/.f32 (-.f32 (.f32 (log.f32 (.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) (.f32 (log.f32 (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) (+.f32 (log.f32 (.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(/.f32 (-.f32 (.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (log.f32 (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))))) (+.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (fma.f32 (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (.f32 (log.f32 (.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (log.f32 (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))))))
(-.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))
(-.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))))
(-.f32 (log.f32 (fma.f32 x x (.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(-.f32 (log.f32 (.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (.f32 x (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(.f32 (/.f32 (.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))
(.f32 (/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) #s(literal 2 binary32)))) (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))))
(.f32 (/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) #s(literal 3 binary32)))) (+.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 (.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))))
(.f32 (/.f32 (.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
(.f32 (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x)) (/.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (.f32 x (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))))
(.f32 (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x)) (/.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (/.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
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(fma.f32 (/.f32 (.f32 x x) (.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (/.f32 (.f32 (neg.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(fma.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) #s(literal 2 binary32)))) (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(fma.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) #s(literal 3 binary32)))) (+.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 (.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(fma.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3/2 binary32)) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3/2 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (/.f32 (pow.f32 x #s(literal 3/2 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(fma.f32 (sqrt.f32 x) (.f32 (sqrt.f32 x) #s(literal 1 binary32)) #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (/.f32 (.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(fma.f32 #s(literal -1 binary32) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 x x) (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (/.f32 (.f32 (neg.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (.f32 x x) (/.f32 x (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(fma.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (/.f32 (.f32 (neg.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(fma.f32 x (/.f32 (.f32 x x) (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(fma.f32 x (/.f32 x (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (/.f32 (.f32 (neg.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(fma.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 x #s(literal 1 binary32) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(+.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (.f32 x (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (.f32 x (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (.f32 x (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (.f32 x (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))))
(+.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(+.f32 (/.f32 (.f32 x x) (-.f32 x #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (/.f32 (.f32 (neg.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(neg.f32 (/.f32 (fma.f32 x x (.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(neg.f32 (/.f32 (.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(neg.f32 (/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))))
(*.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)))
(*.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x)
(.f32 (sqrt.f32 x) (.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 #s(literal -1 binary32) x)
(*.f32 #s(literal 1 binary32) x)
(*.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 x #s(literal 1 binary32))
(sqrt.f32 (*.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)
(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
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)

eval60.0ms (1.4%)

Memory: -30.5MiB live, 28.8MiB allocated
Compiler: Compiled 10 851 to 836 computations (92.3% saved)

prune3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	166	5	171

Accuracy

99.9%

Counts

171 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
✓	31.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
▶	27.1%	(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
✓	26.2%	(copysign.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
✓	99.5%	(copysign.f32 (asinh.f32 x) x)

Compiler

Compiled 75 to 52 computations (30.7% saved)

simplify149.0ms (3.6%)

Memory

30.9MiB live, 75.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	94
0	18	94
1	30	94
2	61	94
3	126	94
4	293	74
5	849	74
6	1844	74
7	2472	74
8	2727	74
9	2806	74
10	2856	74
11	2896	74
12	3384	74
13	3603	74
14	4458	74
15	5042	74
16	5760	74
17	7015	74
18	7936	74
0	8030	70

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (2.1%)

Memory

6.8MiB live, 53.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	7.493573691403721	(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)
accuracy	12.165820004971284	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
accuracy	22.169541399990422	#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))
accuracy	31.267044941661975	#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)

Samples

45.0ms	110×	0	valid
34.0ms	146×	1	valid

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-hypot: 43.0ms (65.2% of total)

ival-log: 6.0ms (9.1% of total)

ival-add: 4.0ms (6.1% of total)

ival-mult: 4.0ms (6.1% of total)

adjust: 3.0ms (4.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series42.0ms (1%)

Memory

-36.9MiB live, 4.1MiB allocated

Counts

5 → 37

Calls

Call 1

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

Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (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)))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) 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)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (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 x)
(* -1 (* x (+ 1 (* 1/2 (/ 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -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

40.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify176.0ms (4.2%)

Memory

20.3MiB live, 122.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	465
1	392	457
2	1162	449
3	4121	447
0	8210	426

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

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))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (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)))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) 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)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (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 x)
(* -1 (* x (+ 1 (* 1/2 (/ 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -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)) (-.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 5/112 binary32) #s(literal 1/6 binary32))) x)
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32))
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))
(+ 1 (* (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 #s(literal 1 binary32))
(+ 1 (* (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 #s(literal 1 binary32))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) 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))))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 2 binary32)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.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 (* 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 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x 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 (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))) (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) x) (/.f32 #s(literal -5/128 binary32) (pow.f32 x #s(literal 7 binary32))))
(* -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))

rewrite242.0ms (5.8%)

Memory

-16.7MiB live, 174.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	93
0	18	81
1	76	81
2	536	81
3	6732	81
0	8140	81

Stop Event

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

Counts

5 → 89

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: 28.1MiB live, 28.1MiB allocated
Compiler: Compiled 13 238 to 651 computations (95.1% saved)

prune7.0ms (0.2%)

Memory

-28.0MiB live, 17.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	123	6	129

Accuracy

100.0%

Counts

129 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
✓	31.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
✓	27.1%	(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
✓	26.2%	(copysign.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
✓	99.5%	(copysign.f32 (asinh.f32 x) x)
	41.2%	(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 5/112 binary32) #s(literal 1/6 binary32))) x)) x)

Compiler

Compiled 294 to 155 computations (47.3% saved)

regimes6.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Accuracy

Total -31.4b remaining (-19125.1%)

Threshold costs -31.4b (-19125.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
(copysign.f32 (log.f32 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.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 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -1 binary32)) x)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 5/112 binary32) #s(literal 1/6 binary32))) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
99.5%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify11.0ms (0.3%)

Memory

-20.3MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness151.0ms (3.6%)

Memory

-5.7MiB live, 94.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 25 to 16 computations (36% saved)

preprocess28.0ms (0.7%)

Memory: 30.6MiB live, 68.9MiB allocated
Compiler: Compiled 72 to 44 computations (38.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample683.0ms (16.4%)

explain310.0ms (7.4%)

preprocess16.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize49.0ms (1.2%)

series45.0ms (1.1%)

simplify184.0ms (4.4%)

rewrite219.0ms (5.3%)

eval76.0ms (1.8%)

prune10.0ms (0.2%)

simplify83.0ms (2%)

localize219.0ms (5.3%)

series45.0ms (1.1%)

simplify239.0ms (5.7%)

rewrite167.0ms (4%)

eval124.0ms (3%)

prune11.0ms (0.3%)

simplify228.0ms (5.5%)

localize94.0ms (2.3%)

series52.0ms (1.2%)

simplify153.0ms (3.7%)

rewrite176.0ms (4.2%)

eval60.0ms (1.4%)

prune3.0ms (0.1%)

simplify149.0ms (3.6%)

localize87.0ms (2.1%)

series42.0ms (1%)

simplify176.0ms (4.2%)

rewrite242.0ms (5.8%)

eval14.0ms (0.3%)

prune7.0ms (0.2%)

regimes6.0ms (0.1%)

simplify11.0ms (0.3%)

soundness151.0ms (3.6%)

preprocess28.0ms (0.7%)

end0.0ms (0%)

Profiling