Metrics for Rust f32::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample793.0ms (10.6%)

Memory

-22.9MiB live, 505.2MiB allocated

Samples

519.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-asinh: 252.0ms (96.7% of total)

ival-true: 6.0ms (2.3% of total)

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

Bogosity

explain398.0ms (5.3%)

Memory

-4.5MiB live, 163.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
112	-	1	(-0.011472438462078571)	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
72	-	0	-	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
0	-	0	-	`(*.f32 x x)`
0	-	0	-	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	0	-	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	0	-	`x`
0	-	0	-	`(fabs.f32 x)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	sensitivity	109	3
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	72	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	72
↳	`(*.f32 x x)`	overflow	72
`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	72
↳	`(*.f32 x x)`	overflow	72

Confusion

	Predicted +	Predicted -
+	181	3
-	0	72

Precision

1.0

Recall

0.9836956521739131

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	181	2	1
-	0	1	71

Precision?

0.9945652173913043

Recall?

0.9945652173913043

Freqs

test

number	freq
0	75
1	179
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	168×	1	valid
30.0ms	344×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-hypot: 13.0ms (28.7% of total)

ival-log: 11.0ms (24.2% of total)

ival-add: 6.0ms (13.2% of total)

ival-copysign: 5.0ms (11% of total)

ival-mult: 4.0ms (8.8% of total)

adjust: 3.0ms (6.6% of total)

ival-fabs: 3.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess11.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	12
0	16	12
1	20	12
0	20	11

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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	20	49
0	20	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)

localize85.0ms (1.1%)

Memory

-12.3MiB live, 25.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f32 x)
accuracy	0.01953125	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	7.682109204839746	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy	11.586024946502532	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))

Samples

61.0ms	172×	0	valid
16.0ms	84×	1	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-hypot: 7.0ms (30.3% of total)

ival-log: 5.0ms (21.7% of total)

ival-copysign: 3.0ms (13% of total)

ival-add: 3.0ms (13% of total)

adjust: 2.0ms (8.7% of total)

ival-mult: 2.0ms (8.7% of total)

ival-fabs: 2.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB 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
2.0ms	x	@	0	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
1.0ms	x	@	-inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
1.0ms	x	@	inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify309.0ms (4.1%)

Memory

-5.3MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	586
1	490	558
2	1525	545
3	5471	495
0	8548	457

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

rewrite274.0ms (3.7%)

Memory

-10.2MiB live, 232.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	16	44
1	51	44
2	324	44
3	3427	44
0	8363	39

Stop Event

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

Counts

6 → 279

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 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (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 6 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #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)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 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 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 (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/4 binary32)))
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #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)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #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))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32)))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) 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 2 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 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 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (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))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 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 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (-.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 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #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 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
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(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 3/2 binary32)))))
(/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (fma.f32 x x (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (/.f32 (.f32 x x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x))
(fma.f32 (neg.f32 x) (/.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (fabs.f32 x) (/.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x (/.f32 x (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 x #s(literal 6 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (-.f32 (log1p.f32 (*.f32 x x)) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(exp.f32 (.f32 (.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 x x))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (fabs.f32 x)))

eval132.0ms (1.8%)

Memory: 30.2MiB live, 106.1MiB allocated
Compiler: Compiled 8 175 to 1 652 computations (79.8% saved)

prune51.0ms (0.7%)

Memory

-13.8MiB live, 25.6MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	306	10	316
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	306	11	317

Accuracy

99.0%

Counts

317 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
✓	38.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
	27.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
▶	32.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
▶	28.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	33.1%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
▶	32.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
	12.8%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
	16.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
▶	51.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
▶	15.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 354 to 257 computations (27.4% saved)

simplify101.0ms (1.3%)

Memory

-13.6MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
cost-diff	0	(-.f32 (fabs.f32 x) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
cost-diff	0	(+.f32 (fabs.f32 x) #s(literal 1 binary32))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
cost-diff	0	(log.f32 x)
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
cost-diff	0	(fabs.f32 x)
cost-diff	0	(log1p.f32 (fabs.f32 x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	247
0	47	247
1	57	247
2	68	247
3	82	247
4	100	247
5	159	247
6	204	247
7	293	247
8	435	247
9	491	247
10	551	247
11	598	247
12	611	247
0	611	233

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (1%)

Memory

25.4MiB live, 62.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f32 x)
accuracy	0.01171875	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
accuracy	1.4342743990826863	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
accuracy	2.246193123010053	#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
accuracy	0.0	(-.f32 (fabs.f32 x) x)
accuracy	0.0	(fabs.f32 x)
accuracy	1.4342743990826863	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
accuracy	11.41110849020767	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))
accuracy	0.0	(+.f32 (fabs.f32 x) #s(literal 1 binary32))
accuracy	0.0	(fabs.f32 x)
accuracy	1.4342743990826863	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
accuracy	7.095087590425388	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy	0.0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
accuracy	0.0	(log.f32 x)
accuracy	7.794515137832792	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
accuracy	0.0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
accuracy	0.0	(fabs.f32 x)
accuracy	5.933829417712948	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
accuracy	8.989154483161116	(log1p.f32 (fabs.f32 x))

Samples

41.0ms	120×	0	invalid
12.0ms	96×	0	valid
7.0ms	40×	1	exit

Compiler

Compiled 183 to 16 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-hypot: 5.0ms (20.7% of total)

ival-log: 5.0ms (20.7% of total)

ival-div: 2.0ms (8.3% of total)

ival-copysign: 2.0ms (8.3% of total)

ival-add: 2.0ms (8.3% of total)

ival-fabs: 2.0ms (8.3% of total)

ival-sub: 2.0ms (8.3% of total)

ival-log1p: 2.0ms (8.3% of total)

adjust: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series201.0ms (2.7%)

Memory

0.3MiB live, 197.1MiB allocated

Counts

19 → 40

Calls

Call 1

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

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fabs x)
(log x)
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ (fabs x) (* -1 x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (* x (+ 1 (* -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
101.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log 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) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (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)))
53.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log 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) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (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)))
46.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log 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) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

Time

Variable

Point

Expression

101.0ms

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

53.0ms

-inf

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

46.0ms

inf

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

simplify232.0ms (3.1%)

Memory

-12.0MiB live, 265.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	586
1	490	557
2	1524	549
3	5307	499
0	8397	463

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

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

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

rewrite196.0ms (2.6%)

Memory

22.1MiB live, 180.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	226
0	47	226
1	138	226
2	953	214
0	8630	200

Stop Event

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

Counts

19 → 141

Calls

Call 1

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

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (log1p.f32 (.f32 (neg.f32 x) x)) (log1p.f32 (.f32 (neg.f32 x) x))) (.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))))) (+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x)))))
(/.f32 (-.f32 (.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) (+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32)))) (.f32 (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))))) (+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 x) x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 (neg.f32 x) x)) (log1p.f32 (.f32 (neg.f32 x) x)) (fma.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))) (.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x)))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (fma.f32 (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) (.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (neg.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))))
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(log1p.f32 (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(*.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) (+.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (fma.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)) (*.f32 x x)))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 4 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 x x (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32))) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 6 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 4 binary32)) (pow.f32 (.f32 x #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) #s(literal 2 binary32)))) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 6 binary32))) #s(literal 1 binary32)) (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)) (*.f32 x x))))
(/.f32 (.f32 (+.f32 (pow.f32 x #s(literal 9 binary32)) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 9 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 6 binary32)) (pow.f32 (.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)) #s(literal 3 binary32)))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)))) (.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))))
(/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (.f32 x x)) (-.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)) (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)))))
(/.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32))) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)) (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))))
(-.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) (/.f32 (.f32 x x) (-.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))))
(-.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(fma.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (neg.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) #s(literal -1 binary32))
(+.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (neg.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))

eval35.0ms (0.5%)

Memory: 5.7MiB live, 43.9MiB allocated
Compiler: Compiled 6 841 to 946 computations (86.2% saved)

prune11.0ms (0.1%)

Memory

-12.5MiB live, 24.9MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	0	5	5
Picked	1	4	5
Done	0	1	1
Total	192	13	205

Accuracy

99.2%

Counts

205 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
✓	38.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
	27.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
✓	32.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
✓	28.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	33.1%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
	12.8%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
▶	5.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
▶	16.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
▶	51.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
✓	51.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
▶	51.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
✓	15.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 354 to 257 computations (27.4% saved)

simplify219.0ms (2.9%)

Memory

18.2MiB live, 177.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	278
0	62	274
1	83	274
2	98	274
3	124	274
4	172	274
5	257	274
6	530	274
7	1589	274
8	3269	274
9	3931	274
10	5096	274
11	5985	274
12	6546	274
13	6815	274
14	7100	274
15	7248	274
16	7324	274
17	7557	274
0	8137	260

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x))))
(log1p.f32 #s(approx (fabs x) (fabs.f32 x)))
#s(approx (fabs x) (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
#s(literal 0 binary32)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fabs.f32 x)
x
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x))))
(log1p.f32 #s(approx (fabs x) (fabs.f32 x)))
#s(approx (fabs x) (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
#s(literal 0 binary32)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(neg.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))
(fabs.f32 x)
x
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)

localize126.0ms (1.7%)

Memory

-19.5MiB live, 179.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
accuracy	4.058887330246514	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
accuracy	4.936595229973054	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy	5.82273638444309	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
accuracy	0.0	(log.f32 x)
accuracy	0.0	(fabs.f32 x)
accuracy	0.0078125	(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
accuracy	12.154419606146739	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
accuracy	0.0	(neg.f32 x)
accuracy	0.0	(fabs.f32 (neg.f32 x))
accuracy	5.933829417712948	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
accuracy	10.129978104213917	(log1p.f32 (fabs.f32 (neg.f32 x)))
accuracy	0.0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
accuracy	5.82273638444309	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
accuracy	16.096840472727408	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
accuracy	0.0	(fabs.f32 x)
accuracy	0.0	#s(approx (fabs x) (fabs.f32 x))
accuracy	5.933829417712948	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x))))
accuracy	8.989154483161116	(log1p.f32 #s(approx (fabs x) (fabs.f32 x)))

Samples

44.0ms	96×	0	valid
29.0ms	120×	0	invalid
18.0ms	40×	1	valid

Compiler

Compiled 232 to 27 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-add: 29.0ms (37.3% of total)

ival-log: 11.0ms (14.1% of total)

ival-hypot: 7.0ms (9% of total)

ival-copysign: 6.0ms (7.7% of total)

ival-div: 4.0ms (5.1% of total)

ival-pow: 4.0ms (5.1% of total)

ival-log1p: 4.0ms (5.1% of total)

ival-sub: 3.0ms (3.9% of total)

ival-fabs: 3.0ms (3.9% of total)

adjust: 2.0ms (2.6% of total)

ival-sqrt: 2.0ms (2.6% of total)

ival-mult: 2.0ms (2.6% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series138.0ms (1.8%)

Memory

0.5MiB live, 158.7MiB allocated

Counts

23 → 49

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x))))
(log1p.f32 #s(approx (fabs x) (fabs.f32 x)))
#s(approx (fabs x) (fabs.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
(fabs.f32 (neg.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(/.f32 (fabs.f32 x) x)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fabs.f32 x)
(neg.f32 x)
(log.f32 x)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))

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

57.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (/ (fabs x) x) (log x)) (/ (fabs x) x) (/ (- 1 (pow x 4)) (- 1 (* x x))) (copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) x) (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x))))) (fabs x) (neg x) (log x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))

43.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (/ (fabs x) x) (log x)) (/ (fabs x) x) (/ (- 1 (pow x 4)) (- 1 (* x x))) (copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) x) (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x))))) (fabs x) (neg x) (log x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))

37.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (/ (fabs x) x) (log x)) (/ (fabs x) x) (/ (- 1 (pow x 4)) (- 1 (* x x))) (copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) x) (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x))))) (fabs x) (neg x) (log x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))

simplify161.0ms (2.2%)

Memory

-1.8MiB live, 191.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	652
1	528	624
2	1587	611
3	5903	561
0	8235	518

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

rewrite207.0ms (2.8%)

Memory

35.6MiB live, 225.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	250
0	62	246
1	195	216
2	1362	212
0	8485	198

Stop Event

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

Counts

23 → 496

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x))))
(log1p.f32 #s(approx (fabs x) (fabs.f32 x)))
#s(approx (fabs x) (fabs.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
(fabs.f32 (neg.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(/.f32 (fabs.f32 x) x)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fabs.f32 x)
(neg.f32 x)
(log.f32 x)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x))))
(log.f32 (+.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 #s(approx (fabs x) (fabs.f32 x)))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)))) (fma.f32 (log1p.f32 (neg.f32 #s(approx (fabs x) (fabs.f32 x)))) (log1p.f32 (neg.f32 #s(approx (fabs x) (fabs.f32 x)))) (*.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 #s(approx (fabs x) (fabs.f32 x))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (-.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)) #s(approx (fabs x) (fabs.f32 x)))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 3 binary32))) (log1p.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (-.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)) #s(approx (fabs x) (fabs.f32 x)))) (log1p.f32 (-.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)) #s(approx (fabs x) (fabs.f32 x)))) (*.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)) #s(approx (fabs x) (fabs.f32 x))))))))
(-.f32 (log.f32 (fma.f32 #s(approx (fabs x) (fabs.f32 x)) #s(approx (fabs x) (fabs.f32 x)) #s(literal -1 binary32))) (log.f32 (-.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (fabs x) (fabs.f32 x))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (fabs x) (fabs.f32 x)) (-.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 #s(approx (fabs x) (fabs.f32 x)))))
(-.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(approx (fabs x) (fabs.f32 x)) #s(approx (fabs x) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) #s(approx (fabs x) (fabs.f32 x))))))
(-.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)) #s(approx (fabs x) (fabs.f32 x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 (neg.f32 #s(approx (fabs x) (fabs.f32 x))))))
(+.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (fabs x) (fabs.f32 x))))))
(+.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 3 binary32))) (neg.f32 (log1p.f32 (-.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 2 binary32)) #s(approx (fabs x) (fabs.f32 x))))))
(+.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (fabs x) (fabs.f32 x)) (-.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 1 binary32)))))
(log1p.f32 #s(approx (fabs x) (fabs.f32 x)))
(*.f32 #s(approx (fabs x) (fabs.f32 x)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) #s(approx (fabs x) (fabs.f32 x)))
#s(approx (fabs x) (fabs.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (fabs.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (*.f32 x x) (fabs.f32 x))
(-.f32 #s(literal 0 binary32) (neg.f32 (fabs.f32 x)))
(fabs.f32 (-.f32 (neg.f32 x) #s(literal 0 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(neg.f32 (neg.f32 (fabs.f32 x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
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(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
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(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (fabs.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (*.f32 x x) (fabs.f32 x))
(-.f32 #s(literal 0 binary32) (neg.f32 (fabs.f32 x)))
(fabs.f32 (-.f32 (neg.f32 x) #s(literal 0 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(neg.f32 (neg.f32 (fabs.f32 x)))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))))
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(.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 x #s(literal -1 binary32))
(/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 x x) (.f32 #s(literal 0 binary32) (neg.f32 x)))))
(/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))
(/.f32 (*.f32 (neg.f32 x) x) x)
(/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (*.f32 x x) (neg.f32 x))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 0 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32))))
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(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
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(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
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(.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))))
(.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (.f32 x x)))))
(.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 x x)))))
(.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 x x)))))
(.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 x x))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))))
(/.f32 (sqrt.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (sqrt.f32 (sqrt.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))) (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -3 binary32)) (.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -3 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
(/.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 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (pow.f32 x #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32)))) (sqrt.f32 (.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32)))) (sqrt.f32 (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
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(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))
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(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
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(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))

eval81.0ms (1.1%)

Memory: -11.0MiB live, 108.2MiB allocated
Compiler: Compiled 14 291 to 2 758 computations (80.7% saved)

prune14.0ms (0.2%)

Memory

4.2MiB live, 42.3MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	524	5	529
Fresh	1	2	3
Picked	1	4	5
Done	0	5	5
Total	526	16	542

Accuracy

99.2%

Counts

542 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (pow.f32 x #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x x))))) x)
✓	26.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
✓	38.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
▶	27.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
✓	32.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
✓	28.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
▶	33.1%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
▶	12.8%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
	16.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (log.f32 x) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32))))) x)
✓	16.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
▶	34.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))) x)
✓	51.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
✓	51.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
✓	51.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
✓	15.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
▶	16.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)

Compiler

Compiled 472 to 324 computations (31.4% saved)

simplify171.0ms (2.3%)

Memory

-3.5MiB live, 154.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f32 x)
cost-diff	0	(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
cost-diff	0	(+.f32 (fabs.f32 x) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
cost-diff	0	(neg.f32 x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
cost-diff	0	(/.f32 (fabs.f32 x) x)
cost-diff	0	#s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x)))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))) x)
cost-diff	1	(fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))
cost-diff	6	(.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	342
0	66	357
1	95	329
2	146	308
3	255	308
4	755	308
5	2863	308
6	6514	308
0	8109	294

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))
(fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (neg.f32 x) x)
(neg.f32 x)
x
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x)))
#s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(fabs.f32 x)
x
#s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))
(log1p.f32 (fabs.f32 x))
(fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))
(fabs.f32 x)
(.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))
(neg.f32 x)
(*.f32 (neg.f32 x) x)
(neg.f32 x)
x
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x)))
#s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(+.f32 #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)

localize149.0ms (2%)

Memory

-3.7MiB live, 156.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f32 x)
accuracy	0.01171875	(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
accuracy	5.82273638444309	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
accuracy	16.692162656328936	#s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
accuracy	0.0	(+.f32 (fabs.f32 x) x)
accuracy	0.0	(fabs.f32 x)
accuracy	5.82273638444309	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
accuracy	6.984186297584497	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
accuracy	0.0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
accuracy	0.0	(neg.f32 x)
accuracy	5.82273638444309	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
accuracy	16.53186950609188	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
accuracy	0.0	(/.f32 (fabs.f32 x) x)
accuracy	0.0	(fabs.f32 x)
accuracy	12.154419606146739	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x)))
accuracy	14.751100035912348	#s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))
accuracy	0.0	(fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))
accuracy	5.933829417712948	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))))
accuracy	6.404344774417745	(.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))
accuracy	8.989154483161116	(log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))

Samples

45.0ms	96×	0	valid
37.0ms	120×	0	invalid
23.0ms	40×	1	valid

Compiler

Compiled 245 to 32 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-fabs: 26.0ms (28.7% of total)

ival-log: 20.0ms (22.1% of total)

ival-div: 8.0ms (8.8% of total)

ival-hypot: 6.0ms (6.6% of total)

ival-add: 5.0ms (5.5% of total)

ival-mult: 5.0ms (5.5% of total)

ival-sub: 4.0ms (4.4% of total)

ival-pow: 4.0ms (4.4% of total)

ival-copysign: 4.0ms (4.4% of total)

adjust: 2.0ms (2.2% of total)

ival-sqrt: 2.0ms (2.2% of total)

ival-log1p: 2.0ms (2.2% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory

28.6MiB live, 66.2MiB allocated

Counts

22 → 45

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))
(fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x)))
#s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(fabs.f32 x)
(log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))
#s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))

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

17.0ms

((* (* (neg x) x) (/ 1 x)) (fabs (* (* (neg x) x) (/ 1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (/ (fabs x) x) (log x)) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg 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) (copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) x) (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x))))) (fabs x) (log (+ 1 (fabs (* (* (neg x) x) (/ 1 x))))) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))

16.0ms

inf

((* (* (neg x) x) (/ 1 x)) (fabs (* (* (neg x) x) (/ 1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (/ (fabs x) x) (log x)) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg 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) (copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) x) (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x))))) (fabs x) (log (+ 1 (fabs (* (* (neg x) x) (/ 1 x))))) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))

9.0ms

-inf

((* (* (neg x) x) (/ 1 x)) (fabs (* (* (neg x) x) (/ 1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (/ (fabs x) x) (log x)) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg 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) (copysign (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) x) (log (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))) (+ (fabs x) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x))))) (fabs x) (log (+ 1 (fabs (* (* (neg x) x) (/ 1 x))))) (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))))

simplify269.0ms (3.6%)

Memory

-7.5MiB live, 193.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	636
1	525	606
2	1585	597
3	5445	547
0	8184	508

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

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

rewrite207.0ms (2.8%)

Memory

10.7MiB live, 119.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	314
0	66	305
1	230	256
2	1652	213
0	9336	199

Stop Event

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

Counts

22 → 467

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))
(fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x)))
#s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(fabs.f32 x)
(log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))
#s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))

Outputs
(.f32 (/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 x))) (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 (neg.f32 x) x)) (/.f32 (*.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 (.f32 (neg.f32 x) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 x))) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) x)))
(.f32 (/.f32 (.f32 (neg.f32 x) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (.f32 (neg.f32 x) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 x)) x)
(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (.f32 (neg.f32 x) x) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (.f32 (neg.f32 x) x) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) x)
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 (neg.f32 x) x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (neg.f32 x) x))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))
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(-.f32 #s(literal 0 binary32) (neg.f32 x))
(pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))
(pow.f32 x #s(literal 1 binary32))
(fabs.f32 (-.f32 (neg.f32 x) #s(literal 0 binary32)))
(fabs.f32 (/.f32 (neg.f32 (*.f32 (neg.f32 x) x)) (-.f32 x #s(literal 0 binary32))))
(fabs.f32 (/.f32 (*.f32 x x) (-.f32 x #s(literal 0 binary32))))
(fabs.f32 (/.f32 (*.f32 x x) (neg.f32 x)))
(fabs.f32 (/.f32 (*.f32 (neg.f32 x) x) (-.f32 x #s(literal 0 binary32))))
(fabs.f32 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (neg.f32 (.f32 (neg.f32 x) x))))
(fabs.f32 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 x x)))
(fabs.f32 (.f32 (neg.f32 (.f32 (neg.f32 x) x)) (neg.f32 (/.f32 #s(literal 1 binary32) x))))
(fabs.f32 (.f32 (.f32 x x) (neg.f32 (/.f32 #s(literal 1 binary32) x))))
(fabs.f32 (neg.f32 (-.f32 x #s(literal 0 binary32))))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(exp.f32 (neg.f32 (*.f32 (log.f32 x) #s(literal -1 binary32))))
(exp.f32 (fma.f32 #s(literal 2 binary32) (log.f32 x) (*.f32 (log.f32 x) #s(literal -1 binary32))))
(exp.f32 (fma.f32 (log.f32 x) #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 x))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32)))
(exp.f32 (log.f32 x))
(neg.f32 (neg.f32 x))
x
(log.f32 (+.f32 #s(literal 1 binary32) x))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 x #s(literal 1 binary32))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x)))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) x))))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))))
(log1p.f32 x)
#s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))

eval67.0ms (0.9%)

Memory: -6.6MiB live, 82.0MiB allocated
Compiler: Compiled 10 717 to 1 679 computations (84.3% saved)

prune17.0ms (0.2%)

Memory

-5.0MiB live, 32.3MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	367	6	373
Fresh	0	2	2
Picked	2	3	5
Done	3	6	9
Total	372	17	389

Accuracy

99.2%

Counts

389 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (pow.f32 x #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x x))))) x)
✓	26.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
✓	38.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
✓	27.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
✓	32.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
	6.9%	(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x)) x)
✓	28.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	30.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
✓	12.8%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
	16.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (log.f32 x) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32))))) x)
✓	16.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
	49.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))) x)
✓	34.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))) x)
	51.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (* (* (neg x) x) (/ 1 x))) (fabs.f32 x)))) x)
	51.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
✓	15.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
	16.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)

Compiler

Compiled 821 to 377 computations (54.1% saved)

regimes19.0ms (0.3%)

Memory

-16.5MiB live, 21.3MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (* (* (neg x) x) (/ 1 x))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (.f32 (.f32 (neg.f32 x) x) (/.f32 #s(literal 1 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (pow.f32 x #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (log.f32 x) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32))))) x)

Outputs

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

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)

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

Calls

2 calls:

12.0ms	x
6.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
97.0%	3	`x`
97.0%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes11.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (* (* (neg x) x) (/ 1 x))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)

Outputs

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

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)

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

Calls

2 calls:

5.0ms	x
5.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
96.6%	3	`x`
96.6%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes39.0ms (0.5%)

Memory

-26.9MiB live, 19.4MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (* (* (neg x) x) (/ 1 x))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (/ (- 1 (pow x 4)) (- 1 (* x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x)) x)

Outputs

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

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)

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

Calls

2 calls:

34.0ms	x
5.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
96.1%	3	`x`
96.1%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes9.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (* (* (neg x) x) (/ 1 x))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)

Outputs

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

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)

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

Calls

2 calls:

4.0ms	x
4.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
83.5%	3	`x`
83.5%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (* (* (neg x) x) (/ 1 x))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)

Outputs

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

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
83.5%	3	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes39.0ms (0.5%)

Memory

-22.1MiB live, 14.4MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (* (* (neg x) x) (/ 1 x))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)

Outputs

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

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)

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

Calls

2 calls:

34.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
4.0ms	x

Results

Accuracy	Segments	Branch
83.5%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
83.5%	3	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (* (* (neg x) x) (/ 1 x))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)

Outputs

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

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.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
68.5%	3	`x`
68.5%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (* (* (neg x) x) (/ 1 x))) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.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
60.7%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
60.7%	2	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Calls

2 calls:

2.0ms	x
2.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
41.2%	2	`x`
41.0%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes12.0ms (0.2%)

Memory

-29.5MiB live, 8.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

10.0ms	x
2.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
23.1%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
23.1%	2	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
16.4%	1	`x`
16.4%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.11653782427310944	0.7566167712211609
0.0ms	-3.436906099319458	-0.17310760915279388

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.11653782427310944	0.7566167712211609
0.0ms	-3.436906099319458	-0.17310760915279388

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7566167712211609	1.2264478206634521
0.0ms	-3.436906099319458	-0.17310760915279388

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.8309014439582825	1.5578827857971191
0.0ms	-15.529226303100586	-0.17397348582744598

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.8309014439582825	1.5578827857971191
0.0ms	-15.529226303100586	-0.17397348582744598

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.8309014439582825	1.5578827857971191
0.0ms	-15.529226303100586	-0.17397348582744598

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.5578827857971191	21.12493324279785
0.0ms	-15.529226303100586	-0.17397348582744598

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.5578827857971191	21.12493324279785

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.0907154783710736e-19	9.130524032912654e-19

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2264478206634521	3.7441608905792236

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify83.0ms (1.1%)

Memory

-24.5MiB live, 61.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	634
1	104	634
2	119	634
3	142	634
4	209	634
5	369	634
6	643	634
7	3406	634
8	7018	634

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)))
(if (<=.f32 x #s(literal 2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(if (<=.f32 x #s(literal 9671407/19342813113834066795298816 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)

Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)))
(if (<=.f32 x #s(literal 2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(if (<=.f32 x #s(literal 9671407/19342813113834066795298816 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (/ (fabs x) x) (log x)) #s(literal 1 binary32))) x)

soundness2.2s (30%)

Memory

-98.8MiB live, 1 180.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	226
0	47	226
1	138	226
2	953	214
0	8630	200
0	169	586
1	490	558
2	1525	545
3	5471	495
0	8548	457
0	173	586
1	490	557
2	1524	549
3	5307	499
0	8397	463
0	191	652
1	528	624
2	1587	611
3	5903	561
0	8235	518
0	37	250
0	62	246
1	195	216
2	1362	212
0	8485	198
0	44	314
0	66	305
1	230	256
2	1652	213
0	9336	199

Stop Event

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

Compiler

Compiled 941 to 326 computations (65.4% saved)

preprocess199.0ms (2.7%)

Memory: 10.8MiB live, 129.7MiB allocated
Compiler: Compiled 1 332 to 220 computations (83.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	30	247
0	47	247
1	57	247
2	68	247
3	82	247
4	100	247
5	159	247
6	204	247
7	293	247
8	435	247
9	491	247
10	551	247
11	598	247
12	611	247
0	611	233

Iter	Nodes	Cost
0	30	247
0	47	247
1	57	247
2	68	247
3	82	247
4	100	247
5	159	247
6	204	247
7	293	247
8	435	247
9	491	247
10	551	247
11	598	247
12	611	247
0	611	233

start0.0ms (0%)

analyze0.0ms (0%)

sample793.0ms (10.6%)

explain398.0ms (5.3%)

preprocess11.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize85.0ms (1.1%)

series5.0ms (0.1%)

simplify309.0ms (4.1%)

rewrite274.0ms (3.7%)

eval132.0ms (1.8%)

prune51.0ms (0.7%)

simplify101.0ms (1.3%)

localize73.0ms (1%)

series201.0ms (2.7%)

simplify232.0ms (3.1%)

rewrite196.0ms (2.6%)

eval35.0ms (0.5%)

prune11.0ms (0.1%)

simplify219.0ms (2.9%)

localize126.0ms (1.7%)

series138.0ms (1.8%)

simplify161.0ms (2.2%)

rewrite207.0ms (2.8%)

eval81.0ms (1.1%)

prune14.0ms (0.2%)

simplify171.0ms (2.3%)

localize149.0ms (2%)

series43.0ms (0.6%)

simplify269.0ms (3.6%)

rewrite207.0ms (2.8%)

eval67.0ms (0.9%)

prune17.0ms (0.2%)

regimes19.0ms (0.3%)

regimes11.0ms (0.1%)

regimes39.0ms (0.5%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes39.0ms (0.5%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify83.0ms (1.1%)

soundness2.2s (30%)

preprocess199.0ms (2.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	247
0	47	247
1	57	247
2	68	247
3	82	247
4	100	247
5	159	247
6	204	247
7	293	247
8	435	247
9	491	247
10	551	247
11	598	247
12	611	247
0	611	233