Metrics for Rust f32::asinh

analyze0.0ms (0%)

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 3 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample512.0ms (5.9%)

Results

399.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-asinh: 145.0ms (93.1% of total)

const: 8.0ms (5.1% of total)

backward-pass: 3.0ms (1.9% of total)

Bogosity

preprocess17.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

16×	`sum3-define`
12×	`sub-neg`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
8×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	9	11
1	15	9
2	16	9
3	17	9
0	17	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))

Outputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))

explain195.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
130	1	(0.005166057497262955)	2	(0.019782694056630135)	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
63	0	-	0	-	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	0	-	0	-	`x`
0	0	-	0	-	`(fabs.f32 x)`
0	0	-	0	-	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	0	-	0	-	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`
0	0	-	0	-	`(*.f32 x x)`
0	0	-	0	-	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
0	0	-	0	-	`#s(literal 1 binary32)`

Results

91.0ms	140×	1	valid
50.0ms	372×	0	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

backward-pass: 50.0ms (52.5% of total)

ival-log: 14.0ms (14.7% of total)

ival-copysign: 8.0ms (8.4% of total)

ival-add: 7.0ms (7.3% of total)

ival-mult: 5.0ms (5.2% of total)

ival-sqrt: 5.0ms (5.2% of total)

ival-fabs: 4.0ms (4.2% of total)

const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
▶	35.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`+-commutative`
2×	`hypot-1-def`
2×	`sqrt-lowering-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	22	64
0	22	64

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize235.0ms (2.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	99.9%	(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
✓	accuracy	88.2%	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
✓	accuracy	100.0%	(+.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	99.9%	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	88.2%	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	78.8%	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))

Results

105.0ms	88×	5	exit
98.0ms	168×	0	valid

Compiler

Compiled 80 to 14 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

backward-pass: 27.0ms (31.3% of total)

ival-log: 17.0ms (19.7% of total)

compiled-spec: 11.0ms (12.7% of total)

ival-add: 8.0ms (9.3% of total)

ival-copysign: 7.0ms (8.1% of total)

ival-mult: 7.0ms (8.1% of total)

ival-sqrt: 6.0ms (6.9% of total)

ival-fabs: 3.0ms (3.5% of total)

const: 1.0ms (1.2% of total)

series6.0ms (0.1%)

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (sqrt (+ (* x x) 1))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)>
#<alt (log (+ (fabs x) (sqrt (+ (* x x) 1))))>
#<alt (+ (fabs x) (sqrt (+ (* x x) 1)))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)>
#<alt (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))>
#<alt (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))>
#<alt (fabs x)>
#<alt (+ (* x x) 1)>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -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))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -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)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -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))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -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)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms	x	@	-inf	(+ (fabs x) (sqrt (+ (* x x) 1)))
0.0ms	x	@	inf	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms	x	@	-inf	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms	x	@	inf	(sqrt (+ (* x x) 1))

rewrite189.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`sum5-define`
676×	`sum4-define`
468×	`sum3-define`
202×	`fma-define`
182×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	29	53
2	40	53
3	60	53
4	123	53
5	236	53
6	666	53
7	2139	53
8	2195	53
9	2237	53
10	2281	53
0	2460	53

Stop Event

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

Counts

9 → 68

Calls

Call 1

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

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

simplify235.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4464×	`-lowering-.f32`
4464×	`-lowering-.f64`
2106×	`sum3-define`
1806×	`fma-lowering-fma.f32`
1806×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1315
1	517	1085
2	1765	1053
3	6742	1053
0	8047	1053

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 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 1/2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) (neg.f32 x))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x (.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (.f32 #s(literal 1/720 binary32) (.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))))))))))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32)))))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32)))) (+.f32 (log.f32 x) (/.f32 (.f32 (/.f32 #s(literal 1/6 binary32) x) (.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (.f32 #s(literal 2 binary32) (.f32 x x))))) (*.f32 x x))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) 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 (+.f32 #s(literal 1/2 binary32) (.f32 (.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 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (.f32 (.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (.f32 #s(literal 2 binary32) (.f32 x x)))) (/.f32 #s(literal -1/6 binary32) x)) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32)))) x)) x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (+.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))))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) (/.f32 (fabs.f32 x) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x (.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (.f32 #s(literal 1/720 binary32) (.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))))))))))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32)))))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32)))) (+.f32 (log.f32 x) (/.f32 (.f32 (/.f32 #s(literal 1/6 binary32) x) (.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (.f32 #s(literal 2 binary32) (.f32 x x))))) (*.f32 x x))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) 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 (+.f32 #s(literal 1/2 binary32) (.f32 (.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 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (.f32 (.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (.f32 #s(literal 2 binary32) (.f32 x x)))) (/.f32 #s(literal -1/6 binary32) x)) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32)))) x)) x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (+.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))))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) (/.f32 (fabs.f32 x) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (pow x 2))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (pow x 2))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))

eval16.0ms (0.2%)

Compiler: Compiled 2582 to 442 computations (82.9% saved)

prune26.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	173	19	192
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	174	20	194

Accuracy

99.7%

Counts

194 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
	57.9%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x (.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (.f32 #s(literal 1/720 binary32) (.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))))))))))))) x)
	57.8%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
	16.2%	(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
▶	15.7%	(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32))))) x)
	10.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
▶	70.4%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	12.2%	(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
	13.2%	(copysign.f32 (log.f32 (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
✓	58.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
▶	19.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
	30.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
	22.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
▶	32.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
	30.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
	17.7%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
	19.8%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (fabs.f32 x)))) x)
	20.8%	(copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x)
	10.8%	(copysign.f32 (log.f32 (neg.f32 x)) x)
▶	15.1%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 672 to 413 computations (38.5% saved)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32)))))
✓	cost-diff	0	(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32))))) x)
✓	cost-diff	64	(.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32)))
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
✓	cost-diff	64	(log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))))
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) x)
✓	cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) x))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(copysign.f32 (log.f32 x) x)
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(log1p.f32 (fabs.f32 x))
✓	cost-diff	0	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)

Rules

148×	`fma-define`
138×	`sum3-define`
132×	`+-lowering-+.f64`
132×	`+-lowering-+.f32`
126×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	157
1	49	150
2	86	140
3	153	140
4	205	140
5	270	140
6	314	140
7	334	140
8	346	140
9	348	140
0	348	140

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize247.0ms (2.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	99.9%	(+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32)))))
✓	accuracy	99.7%	(.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32)))
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (*.f32 x x))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x x))
✓	accuracy	99.9%	(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))
✓	accuracy	67.0%	(log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))))
✓	accuracy	100.0%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) x)
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	99.6%	(log.f32 (+.f32 (fabs.f32 x) x))
✓	accuracy	100.0%	(copysign.f32 (log.f32 x) x)
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
✓	accuracy	100.0%	(log1p.f32 (fabs.f32 x))
✓	accuracy	100.0%	(fabs.f32 x)

Results

109.0ms	99×	0	valid
45.0ms	117×	0	invalid
37.0ms	40×	1	valid

Compiler

Compiled 178 to 25 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-copysign: 42.0ms (42.7% of total)

ival-log: 15.0ms (15.3% of total)

ival-add: 14.0ms (14.2% of total)

compiled-spec: 8.0ms (8.1% of total)

ival-mult: 5.0ms (5.1% of total)

ival-div: 4.0ms (4.1% of total)

backward-pass: 4.0ms (4.1% of total)

ival-fabs: 3.0ms (3.1% of total)

ival-sub: 2.0ms (2% of total)

const: 1.0ms (1% of total)

series154.0ms (1.8%)

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (copysign (log (+ (fabs x) x)) x)>
#<alt (log (+ (fabs x) x))>
#<alt (+ (fabs x) x)>
#<alt (log (+ (fabs x) (+ 1 (* 1/2 (* x x)))))>
#<alt (copysign (log (+ (fabs x) (+ 1 (* 1/2 (* x x))))) x)>
#<alt (+ (fabs x) (+ 1 (* 1/2 (* x x))))>
#<alt (* 1/2 (- (/ 1 (* x x)) 1))>
#<alt (copysign (+ (log x) (+ (/ (fabs x) x) (* 1/2 (- (/ 1 (* x x)) 1)))) x)>
#<alt (+ (log x) (+ (/ (fabs x) x) (* 1/2 (- (/ 1 (* x x)) 1))))>
#<alt (* 1/2 (* x x))>
#<alt (/ 1 (* x x))>

Outputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (/ x (fabs x)))>
#<alt (+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))>
#<alt (fabs x)>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/2 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/2 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/2 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/2 (/ 1 (pow x 2))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/2 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/2 (/ 1 (pow x 2))) 1/2)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* x (fabs x))) (pow x 2))>
#<alt (/ (+ 1/2 (* x (+ (fabs x) (* x (- (log x) 1/2))))) (pow x 2))>
#<alt (/ (+ 1/2 (* x (+ (fabs x) (* x (- (log x) 1/2))))) (pow x 2))>
#<alt (- (* -1 (log (/ 1 x))) 1/2)>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) 1/2)>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) 1/2)>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) 1/2)>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))) 1/2)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))) 1/2)>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>

Calls

48 calls:

Time	Variable		Point	Expression
52.0ms	x	@	0	(log (+ 1 (fabs x)))
32.0ms	x	@	0	(log x)
23.0ms	x	@	inf	(log (+ 1 (fabs x)))
19.0ms	x	@	-inf	(log (+ 1 (fabs x)))
13.0ms	x	@	-inf	(log x)

rewrite238.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2212×	`/-lowering-/.f32`
2212×	`/-lowering-/.f64`
1648×	`-lowering-.f32`
1648×	`-lowering-.f64`
1230×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	109
1	64	104
2	176	95
3	561	95
4	1737	95
0	8363	95

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 273

Calls

Call 1

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

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

simplify403.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

3142×	`-lowering-.f32`
3142×	`-lowering-.f64`
2412×	`fma-lowering-fma.f32`
2412×	`fma-lowering-fma.f64`
1922×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	1649
1	518	1446
2	1591	1373
3	6104	1368
0	8583	1368

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.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))))
(-.f32 (log.f32 #s(literal -1 binary32)) (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))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log (fabs x))
(log.f32 (fabs.f32 x))
(+ (log (fabs x)) (/ x (fabs x)))
(+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 #s(literal -1/2 binary32) (/.f32 x (fabs.f32 x))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (.f32 x (.f32 (/.f32 #s(literal 1/3 binary32) (fabs.f32 x)) #s(literal 1 binary32))) #s(literal -1/2 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 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/3 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)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fabs.f32 x) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (fabs.f32 x) (.f32 (/.f32 (*.f32 x x) x) #s(literal 1/3 binary32)))) x)) x))
(fabs x)
(fabs.f32 x)
(+ x (fabs x))
(+.f32 x (fabs.f32 x))
(+ x (fabs x))
(+.f32 x (fabs.f32 x))
(+ x (fabs x))
(+.f32 x (fabs.f32 x))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (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)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 (.f32 x (.f32 x #s(literal -1/8 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x (.f32 x (+.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/24 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) #s(literal 2 binary32)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f32 (.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) (*.f32 x x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) (.f32 x x)) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+.f32 (.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) (.f32 x x)) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)) #s(literal 8/3 binary32)) (pow.f32 x #s(literal 6 binary32))) (log.f32 #s(literal 1/2 binary32)))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32)))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32)) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) (*.f32 x x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) (.f32 x x)) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+.f32 (+.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) (.f32 x x)) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)) #s(literal 8/3 binary32)) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (.f32 #s(literal -2 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))))))
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ (+ 1/2 (* -1/2 (pow x 2))) (pow x 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x #s(literal -1/2 binary32)))) (*.f32 x x))
(/ (+ 1/2 (* -1/2 (pow x 2))) (pow x 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x #s(literal -1/2 binary32)))) (*.f32 x x))
(/ (+ 1/2 (* -1/2 (pow x 2))) (pow x 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x #s(literal -1/2 binary32)))) (*.f32 x x))
-1/2
#s(literal -1/2 binary32)
(- (* 1/2 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(- (* 1/2 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(- (* 1/2 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
-1/2
#s(literal -1/2 binary32)
(- (* 1/2 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(- (* 1/2 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(- (* 1/2 (/ 1 (pow x 2))) 1/2)
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(copysign (+ (log x) (+ (* 1/2 (- (/ 1 (pow x 2)) 1)) (/ (fabs x) x))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))) x)
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ (+ 1/2 (* x (fabs x))) (pow x 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))) (.f32 x x))
(/ (+ 1/2 (* x (+ (fabs x) (* x (- (log x) 1/2))))) (pow x 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (fabs.f32 x) (.f32 x (+.f32 (log.f32 x) #s(literal -1/2 binary32)))))) (*.f32 x x))
(/ (+ 1/2 (* x (+ (fabs x) (* x (- (log x) 1/2))))) (pow x 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (fabs.f32 x) (.f32 x (+.f32 (log.f32 x) #s(literal -1/2 binary32)))))) (*.f32 x x))
(- (* -1 (log (/ 1 x))) 1/2)
(+.f32 (log.f32 x) #s(literal -1/2 binary32))
(- (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) 1/2)
(+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) 1/2)
(+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) 1/2)
(+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)))
(- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2)
(-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))) 1/2)
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))) 1/2)
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(/ 1 (pow x 2))
(/.f32 #s(literal 1 binary32) (*.f32 x x))

eval87.0ms (1%)

Compiler: Compiled 8122 to 1402 computations (82.7% saved)

prune90.0ms (1%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	567	9	576
Fresh	2	12	14
Picked	1	4	5
Done	0	1	1
Total	570	26	596

Accuracy

99.7%

Counts

596 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.3%	(copysign.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))) (.f32 x x)) x)
▶	7.4%	(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
	57.9%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
	57.9%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x (.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (.f32 #s(literal 1/720 binary32) (.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))))))))))))) x)
	57.8%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
	16.2%	(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
	16.8%	(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
	17.2%	(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/3 binary32)) x)))) x)
	10.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
▶	70.2%	(copysign.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
	60.8%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
✓	70.4%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	12.2%	(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
▶	19.8%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))) x)
	13.2%	(copysign.f32 (log.f32 (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
✓	58.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
✓	19.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
	30.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
	22.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
✓	32.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
▶	30.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
▶	17.7%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
	12.6%	(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
	20.8%	(copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x)
	10.8%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	15.1%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 765 to 473 computations (38.2% saved)

simplify151.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
✓	cost-diff	64	(log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x))))
✓	cost-diff	0	(+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
✓	cost-diff	0	(+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))) x)
✓	cost-diff	64	(log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32)))
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) #s(literal 1 binary32))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
✓	cost-diff	64	(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
✓	cost-diff	0	(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (fabs.f32 x))
✓	cost-diff	0	(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
✓	cost-diff	0	(copysign.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
✓	cost-diff	128	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))

Rules

1448×	`fma-define`
1288×	`fma-lowering-fma.f32`
1288×	`fma-lowering-fma.f64`
960×	`sum4-define`
908×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	233
1	80	208
2	207	208
3	535	208
4	1338	208
5	2188	208
6	2760	208
0	2760	208

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x)
(log (+ 1 (/ 1 (/ 1 (fabs x)))))
(/ 1 (/ 1 (fabs x)))
1
(/ 1 (fabs x))
(fabs x)
x
(copysign (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
1/2
(* x x)
x
(copysign (log (+ (fabs x) 1)) x)
(log (+ (fabs x) 1))
(+ (fabs x) 1)
(fabs x)
x
1
(copysign (log (+ (+ (fabs x) (* 1/2 (* x x))) 1)) x)
(log (+ (+ (fabs x) (* 1/2 (* x x))) 1))
(+ (+ (fabs x) (* 1/2 (* x x))) 1)
(+ (fabs x) (* 1/2 (* x x)))
(fabs x)
x
(* 1/2 (* x x))
1/2
(* x x)
1
(copysign (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x)))) x)
(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))))
(+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x)))
1
(+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))
(+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))
1/2
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(* x x)
(+ -1/8 (* (* x x) 1/16))
-1/8
(* (* x x) 1/16)
1/16
(fabs x)

Outputs
(copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (/ 1 (/ 1 (fabs x)))))
(log1p.f32 (fabs.f32 x))
(/ 1 (/ 1 (fabs x)))
(fabs.f32 x)
1
#s(literal 1 binary32)
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(copysign (/ 1/2 (* x x)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(/ 1/2 (* x x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
1/2
#s(literal 1/2 binary32)
(* x x)
(*.f32 x x)
x
(copysign (log (+ (fabs x) 1)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ (fabs x) 1))
(log1p.f32 (fabs.f32 x))
(+ (fabs x) 1)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
1
#s(literal 1 binary32)
(copysign (log (+ (+ (fabs x) (* 1/2 (* x x))) 1)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(log (+ (+ (fabs x) (* 1/2 (* x x))) 1))
(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(+ (+ (fabs x) (* 1/2 (* x x))) 1)
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(+ (fabs x) (* 1/2 (* x x)))
(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fabs x)
(fabs.f32 x)
x
(* 1/2 (* x x))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(* x x)
(*.f32 x x)
1
#s(literal 1 binary32)
(copysign (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))))
(log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))
(+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x)))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
1
#s(literal 1 binary32)
(+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))
(+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))
(.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (*.f32 x x) #s(literal 1/16 binary32))))))
(+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))
(+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))
1/2
#s(literal 1/2 binary32)
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))
(* x x)
(*.f32 x x)
(+ -1/8 (* (* x x) 1/16))
(+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))
-1/8
#s(literal -1/8 binary32)
(* (* x x) 1/16)
(.f32 (.f32 x x) #s(literal 1/16 binary32))
1/16
#s(literal 1/16 binary32)
(fabs x)
(fabs.f32 x)

localize344.0ms (4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
✓	accuracy	99.8%	(.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))
✓	accuracy	99.7%	(.f32 (.f32 x x) #s(literal 1/16 binary32))
✓	accuracy	24.3%	(log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x))))
✓	accuracy	100.0%	(+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x x))
✓	accuracy	99.9%	(+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
✓	accuracy	35.6%	(log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32)))
✓	accuracy	100.0%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) #s(literal 1 binary32))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	58.5%	(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
✓	accuracy	100.0%	(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	98.3%	(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) (fabs.f32 x))
✓	accuracy	100.0%	(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	99.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))

Results

160.0ms	174×	0	valid
97.0ms	82×	1	valid

Compiler

Compiled 292 to 32 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 67.0ms (43.9% of total)

ival-log: 23.0ms (15.1% of total)

ival-copysign: 15.0ms (9.8% of total)

ival-add: 15.0ms (9.8% of total)

compiled-spec: 11.0ms (7.2% of total)

backward-pass: 10.0ms (6.5% of total)

ival-div: 8.0ms (5.2% of total)

ival-fabs: 3.0ms (2% of total)

const: 1.0ms (0.7% of total)

series10.0ms (0.1%)

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (fabs x)))>
#<alt (copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x)>
#<alt (log (+ 1 (/ 1 (/ 1 (fabs x)))))>
#<alt (/ 1 (fabs x))>
#<alt (copysign (/ 1/2 (* x x)) x)>
#<alt (/ 1/2 (* x x))>
#<alt (* x x)>
#<alt (log (+ (fabs x) 1))>
#<alt (copysign (log (+ (fabs x) 1)) x)>
#<alt (+ (fabs x) 1)>
#<alt (fabs x)>
#<alt (log (+ (+ (fabs x) (* 1/2 (* x x))) 1))>
#<alt (copysign (log (+ (+ (fabs x) (* 1/2 (* x x))) 1)) x)>
#<alt (+ (+ (fabs x) (* 1/2 (* x x))) 1)>
#<alt (+ (fabs x) (* 1/2 (* x x)))>
#<alt (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))))>
#<alt (copysign (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x)))) x)>
#<alt (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x)))>
#<alt (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))>
#<alt (* 1/2 (* x x))>
#<alt (* (* x x) 1/16)>
#<alt (* (* x x) (+ -1/8 (* (* x x) 1/16)))>
#<alt (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))>

Outputs
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (+ (log 1/16) (* -6 (log (/ 1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (log 1/16) (* -6 (log (/ -1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>

Calls

69 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))))
0.0ms	x	@	-inf	(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))))
0.0ms	x	@	-inf	(/ 1 (fabs x))
0.0ms	x	@	inf	(/ 1 (fabs x))
0.0ms	x	@	0	(/ 1 (fabs x))

rewrite305.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2270×	`-lowering-.f32`
2270×	`-lowering-.f64`
1950×	`+-lowering-+.f64`
1950×	`+-lowering-+.f32`
1582×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	179
1	106	159
2	332	159
3	963	159
4	3230	159
0	8219	159

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 908

Calls

Call 1

Inputs
(/ 1 (/ 1 (fabs x)))
(copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x)
(log (+ 1 (/ 1 (/ 1 (fabs x)))))
(/ 1 (fabs x))
(copysign (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
(* x x)
(log (+ (fabs x) 1))
(copysign (log (+ (fabs x) 1)) x)
(+ (fabs x) 1)
(fabs x)
(log (+ (+ (fabs x) (* 1/2 (* x x))) 1))
(copysign (log (+ (+ (fabs x) (* 1/2 (* x x))) 1)) x)
(+ (+ (fabs x) (* 1/2 (* x x))) 1)
(+ (fabs x) (* 1/2 (* x x)))
(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))))
(copysign (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x)))) x)
(+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x)))
(+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))) (fabs x))
(* 1/2 (* x x))
(* (* x x) 1/16)
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))

Outputs
(neg.f32 (neg.f32 (fabs.f32 x)))
(exp.f32 (log.f32 (fabs.f32 x)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log.f32 (fabs.f32 x))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+.f32 #s(literal 0 binary32) (fabs.f32 x))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (-.f32 (neg.f32 x) #s(literal 0 binary32)))
(fabs.f32 (/.f32 (neg.f32 x) #s(literal 1 binary32)))
(fabs.f32 (neg.f32 (-.f32 (neg.f32 x) #s(literal 0 binary32))))
(fabs.f32 (-.f32 (/.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 0 binary32)))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(pow.f32 (E.f32) (log.f32 (fabs.f32 x)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (log.f32 (fabs.f32 x)))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (log.f32 (fabs.f32 x)))
(-.f32 #s(literal 0 binary32) (neg.f32 (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 #s(literal 1 binary32) x)))
(/.f32 (fabs.f32 x) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32))
(/.f32 (neg.f32 (fabs.f32 x)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))))
(/.f32 (neg.f32 (fabs.f32 x)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (fabs.f32 x)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (fabs.f32 x)) (exp.f32 (-.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (fabs.f32 x)) (exp.f32 (+.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))) (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))))
(/.f32 (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))) (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))))
(/.f32 (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))) (pow.f32 (E.f32) (-.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))) (pow.f32 (E.f32) (+.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (pow.f32 (E.f32) (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))))
(/.f32 (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (exp.f32 (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32))
(*.f32 (neg.f32 (fabs.f32 x)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))))
(*.f32 (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(*.f32 (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))) (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))))
(*.f32 (pow.f32 (E.f32) (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(*.f32 (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))) (neg.f32 (fabs.f32 x)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(.f32 (pow.f32 (E.f32) (.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(.f32 (pow.f32 (E.f32) (.f32 #s(literal -1 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(.f32 (pow.f32 (E.f32) (.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(.f32 (pow.f32 (E.f32) (.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (fabs.f32 x)))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (neg.f32 (fabs.f32 x)))
(.f32 (exp.f32 (.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(.f32 (exp.f32 (.f32 #s(literal -1 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(.f32 (exp.f32 (.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (fabs.f32 x)))
(.f32 (exp.f32 (.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (neg.f32 (fabs.f32 x)))
(*.f32 (exp.f32 (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log1p.f32 (fabs.f32 x))
(+.f32 (log1p.f32 (fabs.f32 x)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log1p.f32 (fabs.f32 x)))
(log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(neg.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(exp.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (fabs.f32 x))))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))
(pow.f32 (fabs.f32 x) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1 binary32))
(pow.f32 (E.f32) (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (fabs.f32 x)))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (log.f32 (fabs.f32 x)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (fabs.f32 x)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x))))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x)))
(/.f32 (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(/.f32 (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))) (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))))
(/.f32 (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))) (pow.f32 (E.f32) (-.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))) (pow.f32 (E.f32) (+.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (pow.f32 (E.f32) (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(/.f32 (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (neg.f32 (fabs.f32 x)))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))) (neg.f32 (fabs.f32 x)))
(/.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)) (exp.f32 (-.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)) (exp.f32 (+.f32 (log.f32 #s(literal -1 binary32)) #s(literal 0 binary32))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(/.f32 (exp.f32 (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(*.f32 (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))) (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))))
(*.f32 (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))) (pow.f32 (E.f32) (log.f32 #s(literal -1 binary32))))
(*.f32 (pow.f32 (E.f32) (+.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))))
(*.f32 (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32)))) (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
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(+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32))))) (+.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/16 binary32))))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
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(fma.f32 (.f32 x (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))) x (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
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(-.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))) (neg.f32 (fabs.f32 x)))
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(+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (fabs.f32 x) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))
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(+.f32 (.f32 (.f32 x x) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/16 binary32)))))) (fabs.f32 x)))
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(+.f32 (.f32 (.f32 x x) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (-.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/16 binary32)))))) (neg.f32 (fabs.f32 x))))
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(+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32))))) (-.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/16 binary32))))) (neg.f32 (fabs.f32 x))))
(+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(+.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (.f32 x (.f32 x #s(literal -1/8 binary32))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
(+.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/16 binary32))))))
(+.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/16 binary32)))))) (.f32 (.f32 x x) (.f32 x (.f32 x #s(literal -1/8 binary32)))))
(+.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x (.f32 x #s(literal -1/8 binary32))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/16 binary32))))))
(+.f32 (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) #s(literal 0 binary32)) (fabs.f32 x))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))
(fma.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)) (neg.f32 (-.f32 (neg.f32 (fabs.f32 x)) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))))
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(.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) #s(literal 1 binary32))
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(.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))) #s(literal 1 binary32)) (*.f32 x x))
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(.f32 (.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) #s(literal 1 binary32)) x)
(.f32 (.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (*.f32 x x) #s(literal 1/16 binary32))))))) #s(literal -1 binary32)) (neg.f32 x))

simplify412.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

3614×	`-lowering-.f32`
3614×	`-lowering-.f64`
3036×	`+-lowering-+.f64`
3036×	`+-lowering-+.f32`
1532×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	2365
1	531	2055
2	1940	2031
3	6925	2021
0	8166	2021

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) 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))))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))

Outputs
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(/ 1 (fabs x))
(/.f32 #s(literal 1 binary32) (fabs.f32 x))
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
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(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))) x)
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(+.f32 (/.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/8 binary32)) (.f32 x x)) (+.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))) #s(literal 1 binary32)))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(+.f32 (/.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/8 binary32)) (.f32 x x)) (+.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))) #s(literal 1 binary32)))
(fabs x)
(fabs.f32 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32)))))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32)))))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* -1/8 (pow x 2))
(.f32 (.f32 x x) #s(literal -1/8 binary32))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))
(* 1/16 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/16 binary32))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* 1/16 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/16 binary32))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) x) x)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))

eval312.0ms (3.6%)

Compiler: Compiled 34115 to 6519 computations (80.9% saved)

prune288.0ms (3.3%)

Pruning

31 alts after pruning (22 fresh and 9 done)

	Pruned	Kept	Total
New	1583	9	1592
Fresh	3	13	16
Picked	1	4	5
Done	0	5	5
Total	1587	31	1618

Accuracy

99.8%

Counts

1618 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
	8.3%	(copysign.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))) (.f32 x x)) x)
	7.4%	(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
✓	7.4%	(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
	57.9%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
	56.3%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 x x) (/.f32 (.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/720 binary32))))))))) x)
	57.8%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 x x) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))))) x)
	16.2%	(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
▶	16.8%	(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
	17.2%	(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/3 binary32)) x)))) x)
	7.4%	(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
	10.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
✓	70.2%	(copysign.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
▶	59.0%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x)
▶	60.8%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
✓	70.4%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	12.2%	(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
	17.7%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))) #s(literal 1 binary32))) x)
✓	19.8%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))) x)
	14.4%	(copysign.f32 (log.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32))) x)
✓	58.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
✓	19.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
	30.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
	22.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
✓	32.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
✓	30.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
	13.2%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (fabs.f32 x)))) x)
▶	12.6%	(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
	20.8%	(copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x)
	10.8%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	15.1%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 859 to 531 computations (38.2% saved)

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	(fabs.f32 x)
✓	cost-diff	(+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))
✓	cost-diff	(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))))
✓	cost-diff	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x)
✓	cost-diff	(+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))
✓	cost-diff	(log.f32 x)
✓	cost-diff	(+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32)))
✓	cost-diff	(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
✓	cost-diff	(*.f32 x #s(literal 1/2 binary32))
✓	cost-diff	(.f32 x (.f32 x #s(literal 1/2 binary32)))
✓	cost-diff	(log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))))
✓	cost-diff	(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
✓	cost-diff	(/.f32 #s(literal 1/2 binary32) x)
✓	cost-diff	(/.f32 (/.f32 #s(literal 1/2 binary32) x) x)
✓	cost-diff	(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
✓	cost-diff	(fabs.f32 x)
✓	cost-diff	(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
✓	cost-diff	(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
✓	cost-diff	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)

Rules

1438×	`fma-define`
1200×	`fma-lowering-fma.f32`
1200×	`fma-lowering-fma.f64`
944×	`sum3-define`
912×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	236
1	77	213
2	184	213
3	502	213
4	1230	213
5	2190	213
6	2838	213
0	2838	213

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(+ (fabs x) (* x (* x 1/2)))
(fabs x)
x
(* x (* x 1/2))
(* x 1/2)
1/2
(copysign (/ (/ 1/2 x) x) x)
(/ (/ 1/2 x) x)
(/ 1/2 x)
1/2
x
(copysign (log (* x (* x 1/2))) x)
(log (* x (* x 1/2)))
(* x (* x 1/2))
x
(* x 1/2)
1/2
(copysign (+ (log x) (+ (/ (fabs x) x) -1/2)) x)
(+ (log x) (+ (/ (fabs x) x) -1/2))
(log x)
x
(+ (/ (fabs x) x) -1/2)
(/ (fabs x) x)
(fabs x)
-1/2
(copysign (log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))))))) x)
(log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))))))
(+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))))
(fabs x)
x
(* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))))
(* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))
(+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))
1/2
(* x (* x (+ -1/8 (* (* x x) 1/16))))
(* x (+ -1/8 (* (* x x) 1/16)))
(+ -1/8 (* (* x x) 1/16))
-1/8
(* (* x x) 1/16)
(* x x)
1/16

Outputs
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(+ (fabs x) (* x (* x 1/2)))
(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fabs x)
(fabs.f32 x)
x
(* x (* x 1/2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(copysign (/ (/ 1/2 x) x) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(/ (/ 1/2 x) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
1/2
#s(literal 1/2 binary32)
x
(copysign (log (* x (* x 1/2))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(log (* x (* x 1/2)))
(log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))))
(* x (* x 1/2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
x
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(copysign (+ (log x) (+ (/ (fabs x) x) -1/2)) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
(+ (log x) (+ (/ (fabs x) x) -1/2))
(+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32)))
(log x)
(log.f32 x)
x
(+ (/ (fabs x) x) -1/2)
(+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
(fabs x)
(fabs.f32 x)
-1/2
#s(literal -1/2 binary32)
(copysign (log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))) x)
(log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))))))
(log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))
(+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))))
(+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))
(fabs x)
(fabs.f32 x)
x
(* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
(* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))
(.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
(+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))
1/2
#s(literal 1/2 binary32)
(* x (* x (+ -1/8 (* (* x x) 1/16))))
(.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))
(* x (+ -1/8 (* (* x x) 1/16)))
(.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (*.f32 x x) #s(literal 1/16 binary32))))
(+ -1/8 (* (* x x) 1/16))
(+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))
-1/8
#s(literal -1/8 binary32)
(* (* x x) 1/16)
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* x x)
(*.f32 x x)
1/16
#s(literal 1/16 binary32)

localize323.0ms (3.7%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))
✓	accuracy	99.9%	(.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))
✓	accuracy	99.7%	(.f32 (.f32 x x) #s(literal 1/16 binary32))
✓	accuracy	78.8%	(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))))
✓	accuracy	100.0%	(+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32)))
✓	accuracy	100.0%	(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
✓	accuracy	100.0%	(.f32 x (.f32 x #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(*.f32 x #s(literal 1/2 binary32))
✓	accuracy	76.1%	(log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))))
✓	accuracy	100.0%	(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) x)
✓	accuracy	99.7%	(/.f32 (/.f32 #s(literal 1/2 binary32) x) x)
✓	accuracy	100.0%	(*.f32 x #s(literal 1/2 binary32))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
✓	accuracy	86.4%	(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))

Results

61.0ms	117×	0	invalid
47.0ms	99×	0	valid
44.0ms	40×	1	valid

Compiler

Compiled 269 to 33 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-log: 15.0ms (18% of total)

compiled-spec: 15.0ms (18% of total)

ival-mult: 14.0ms (16.8% of total)

ival-add: 13.0ms (15.6% of total)

ival-copysign: 11.0ms (13.2% of total)

ival-div: 6.0ms (7.2% of total)

backward-pass: 5.0ms (6% of total)

ival-fabs: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

series33.0ms (0.4%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)>
#<alt (log (+ 1 (+ (fabs x) (* x (* x 1/2)))))>
#<alt (+ (fabs x) (* x (* x 1/2)))>
#<alt (fabs x)>
#<alt (copysign (/ (/ 1/2 x) x) x)>
#<alt (/ (/ 1/2 x) x)>
#<alt (/ 1/2 x)>
#<alt (copysign (log (* x (* x 1/2))) x)>
#<alt (log (* x (* x 1/2)))>
#<alt (* x (* x 1/2))>
#<alt (* x 1/2)>
#<alt (copysign (+ (log x) (+ (/ (fabs x) x) -1/2)) x)>
#<alt (+ (log x) (+ (/ (fabs x) x) -1/2))>
#<alt (log x)>
#<alt (+ (/ (fabs x) x) -1/2)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))))))) x)>
#<alt (log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))))))>
#<alt (+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))))>
#<alt (* (* x x) 1/16)>
#<alt (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))))>
#<alt (* x (* x (+ -1/8 (* (* x x) 1/16))))>

Outputs
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (copysign (/ 1/2 (pow x 2)) x)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (copysign (log (* 1/2 (pow x 2))) x)>
#<alt (+ (log 1/2) (* 2 (log x)))>
#<alt (+ (log 1/2) (* 2 (log x)))>
#<alt (+ (log 1/2) (* 2 (log x)))>
#<alt (+ (log 1/2) (* 2 (log x)))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (+ (fabs x) (* x (- (log x) 1/2))) x)>
#<alt (/ (+ (fabs x) (* x (- (log x) 1/2))) x)>
#<alt (/ (+ (fabs x) (* x (- (log x) 1/2))) x)>
#<alt (- (* -1 (log (/ 1 x))) 1/2)>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) 1/2)>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) 1/2)>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) 1/2)>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (/ (fabs x) x)>
#<alt (/ (+ (fabs x) (* -1/2 x)) x)>
#<alt (/ (+ (fabs x) (* -1/2 x)) x)>
#<alt (/ (+ (fabs x) (* -1/2 x)) x)>
#<alt -1/2>
#<alt (- (/ (fabs x) x) 1/2)>
#<alt (- (/ (fabs x) x) 1/2)>
#<alt (- (/ (fabs x) x) 1/2)>
#<alt -1/2>
#<alt (- (/ (fabs x) x) 1/2)>
#<alt (- (/ (fabs x) x) 1/2)>
#<alt (- (/ (fabs x) x) 1/2)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (+ (log 1/16) (* -6 (log (/ 1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (log 1/16) (* -6 (log (/ -1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>

Calls

63 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(log (* x (* x 1/2)))
9.0ms	x	@	inf	(log (* x (* x 1/2)))
6.0ms	x	@	inf	(/ 1/2 x)
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	x	@	-inf	(+ (log x) (+ (/ (fabs x) x) -1/2))

rewrite312.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2162×	`fma-lowering-fma.f32`
2162×	`fma-lowering-fma.f64`
1882×	`fma-define`
1706×	`-lowering-.f32`
1706×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	169
1	99	152
2	324	152
3	1149	152
4	3336	152
0	8135	152

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 620

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(+ (fabs x) (* x (* x 1/2)))
(fabs x)
(copysign (/ (/ 1/2 x) x) x)
(/ (/ 1/2 x) x)
(/ 1/2 x)
(copysign (log (* x (* x 1/2))) x)
(log (* x (* x 1/2)))
(* x (* x 1/2))
(* x 1/2)
(copysign (+ (log x) (+ (/ (fabs x) x) -1/2)) x)
(+ (log x) (+ (/ (fabs x) x) -1/2))
(log x)
(+ (/ (fabs x) x) -1/2)
(copysign (log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))))))) x)
(log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))))))
(+ (fabs x) (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16))))))))
(* (* x x) 1/16)
(* x (* x (+ 1/2 (* x (* x (+ -1/8 (* (* x x) 1/16)))))))
(* x (* x (+ -1/8 (* (* x x) 1/16))))

Outputs
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(log.f32 (+.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(+.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (fma.f32 (fabs.f32 x) #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x))))
(+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (fma.f32 #s(literal 1 binary32) (fabs.f32 x) (-.f32 #s(literal 0 binary32) (fabs.f32 x))))
(+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (-.f32 #s(literal 0 binary32) (fabs.f32 x))))
(+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) x (fabs.f32 x))
(fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32) (fabs.f32 x))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))
(fma.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 #s(literal -1 binary32) (.f32 (neg.f32 x) (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(fma.f32 (.f32 (.f32 x #s(literal 1/2 binary32)) #s(literal -1 binary32)) (neg.f32 x) (fabs.f32 x))
(-.f32 (fabs.f32 x) (.f32 (neg.f32 x) (.f32 x #s(literal 1/2 binary32))))
(-.f32 (fabs.f32 x) (.f32 (.f32 x #s(literal 1/2 binary32)) (neg.f32 x)))
(-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(-.f32 #s(literal 0 binary32) (-.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(-.f32 (+.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) #s(literal 0 binary32)) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(/.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 (neg.f32 x) (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x)) #s(literal -1 binary32))
(/.f32 (-.f32 (.f32 (.f32 x #s(literal 1/2 binary32)) (neg.f32 x)) (fabs.f32 x)) #s(literal -1 binary32))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 x #s(literal 1/2 binary32)))) (*.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) (fabs.f32 (/.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 #s(literal -1 binary32) (.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 (neg.f32 x) (*.f32 x #s(literal 1/2 binary32))))) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (+.f32 #s(literal -1 binary32) (.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) x)) (.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x)))) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) x))
(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) (*.f32 x #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (.f32 #s(literal 1 binary32) (.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x)))) #s(literal -1 binary32))
(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) (.f32 #s(literal -1 binary32) (.f32 x #s(literal 1/2 binary32)))) (/.f32 #s(literal -1 binary32) x))
(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(/.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal -1 binary32) (.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x)))) #s(literal 1 binary32))
(/.f32 (+.f32 (.f32 (.f32 x #s(literal 1/2 binary32)) (fabs.f32 (/.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 (/.f32 #s(literal 1 binary32) x))))
(/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (fabs.f32 x) x)) (/.f32 #s(literal 1 binary32) x))
(/.f32 (+.f32 (.f32 (.f32 x #s(literal 1/2 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 (+.f32 (.f32 (.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 (/.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)) (fabs.f32 (/.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 x (*.f32 x #s(literal 1/2 binary32))) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal -1 binary32))
(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 (/.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal -1 binary32))
(/.f32 (+.f32 (.f32 (.f32 (neg.f32 x) (*.f32 x #s(literal 1/2 binary32))) #s(literal -1 binary32)) (fabs.f32 x)) #s(literal 1 binary32))
(/.f32 (+.f32 (.f32 (.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x)) (fabs.f32 (/.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (+.f32 (.f32 (.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x)) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal -1 binary32))
(/.f32 (+.f32 (.f32 (.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x)) #s(literal -1 binary32)) (fabs.f32 x)) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) (fabs.f32 x))))
(/.f32 (-.f32 (.f32 (.f32 x #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)) (/.f32 #s(literal -1 binary32) x))
(/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x))) (/.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (.f32 (.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 (-.f32 (.f32 (.f32 x (*.f32 x #s(literal 1/2 binary32))) #s(literal -1 binary32)) (fabs.f32 x)) #s(literal -1 binary32))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 x) (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) (fabs.f32 x))) #s(literal -1 binary32)) (fabs.f32 (/.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 x) (*.f32 x #s(literal 1/2 binary32))) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 x) (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32)) (fabs.f32 x)) #s(literal -1 binary32))
(/.f32 (-.f32 (.f32 (.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (fabs.f32 x))) #s(literal -1 binary32)) (fabs.f32 (/.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 (.f32 (.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x)) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 (.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x)) #s(literal 1 binary32)) (fabs.f32 x)) #s(literal -1 binary32))
(neg.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(exp.f32 (log.f32 (fabs.f32 x)))
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (fabs.f32 x))
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(fma.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32)))
(fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32) (+.f32 (log.f32 x) #s(literal -1/2 binary32)))
(fma.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 #s(literal -1 binary32) x) (+.f32 (log.f32 x) #s(literal -1/2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x) (+.f32 (log.f32 x) #s(literal -1/2 binary32)))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) (+.f32 (log.f32 x) #s(literal -1/2 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) x) (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (+.f32 (log.f32 x) #s(literal -1/2 binary32)))
(fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) #s(literal -1 binary32) (+.f32 (log.f32 x) #s(literal -1/2 binary32)))
(-.f32 (log.f32 x) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) #s(literal -1/2 binary32)))
(-.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) (log.f32 x)))
(-.f32 #s(literal 0 binary32) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) (+.f32 (log.f32 x) #s(literal -1/2 binary32))))
(-.f32 (+.f32 (log.f32 x) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)))
(-.f32 (+.f32 (+.f32 (log.f32 x) #s(literal -1/2 binary32)) #s(literal 0 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)))
(neg.f32 (-.f32 #s(literal 0 binary32) (log.f32 x)))
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(-.f32 (log.f32 x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log.f32 x)))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(*.f32 #s(literal 1 binary32) (log.f32 x))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (log.f32 x)))
(log.f32 x)
(+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))
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(fma.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32))
(fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32) #s(literal -1/2 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x) #s(literal -1/2 binary32))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) #s(literal -1/2 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) x) (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal -1/2 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) #s(literal -1 binary32) #s(literal -1/2 binary32))
(-.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)))
(-.f32 #s(literal 0 binary32) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) #s(literal -1/2 binary32)))
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(log.f32 (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x #s(literal 1/16 binary32))))))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
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(/.f32 (+.f32 (.f32 (.f32 (.f32 #s(literal 1/16 binary32) (.f32 x (.f32 x x))) (neg.f32 x)) #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (.f32 (.f32 x #s(literal -1/8 binary32)) (neg.f32 x)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x #s(literal 1/16 binary32))))))
(.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x #s(literal 1/16 binary32))))))
(.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x #s(literal 1/16 binary32)))))
(.f32 (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x #s(literal 1/16 binary32)))) (.f32 x x))
(.f32 (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x #s(literal 1/16 binary32))))) x)
(.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (neg.f32 x) (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x #s(literal 1/16 binary32)))))))
(.f32 (.f32 (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x #s(literal 1/16 binary32))))) #s(literal -1 binary32)) (neg.f32 x))

simplify275.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2738×	`+-lowering-+.f64`
2738×	`+-lowering-+.f32`
2716×	`-lowering-.f32`
2716×	`-lowering-.f64`
1876×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	2419
1	559	2102
2	1915	2070
3	6682	2062
0	8077	2062

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (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) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(copysign (/ 1/2 (pow x 2)) x)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(copysign (log (* 1/2 (pow x 2))) x)
(+ (log 1/2) (* 2 (log x)))
(+ (log 1/2) (* 2 (log x)))
(+ (log 1/2) (* 2 (log x)))
(+ (log 1/2) (* 2 (log x)))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(copysign (- (+ (log x) (/ (fabs x) x)) 1/2) x)
(/ (fabs x) x)
(/ (+ (fabs x) (* x (- (log x) 1/2))) x)
(/ (+ (fabs x) (* x (- (log x) 1/2))) x)
(/ (+ (fabs x) (* x (- (log x) 1/2))) x)
(- (* -1 (log (/ 1 x))) 1/2)
(- (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) 1/2)
(- (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) 1/2)
(- (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) 1/2)
(- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2)
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ (fabs x) x)
(/ (+ (fabs x) (* -1/2 x)) x)
(/ (+ (fabs x) (* -1/2 x)) x)
(/ (+ (fabs x) (* -1/2 x)) x)
-1/2
(- (/ (fabs x) x) 1/2)
(- (/ (fabs x) x) 1/2)
(- (/ (fabs x) x) 1/2)
-1/2
(- (/ (fabs x) x) 1/2)
(- (/ (fabs x) x) 1/2)
(- (/ (fabs x) x) 1/2)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))

Outputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/8 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 (.f32 x x) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/24 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 x)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (.f32 #s(literal 2 binary32) (log.f32 x)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 #s(literal 2 binary32) (*.f32 x x)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (+.f32 (.f32 #s(literal 2 binary32) (log.f32 x)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 #s(literal 2 binary32) (.f32 x x)))) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
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(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (.f32 x x) (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (.f32 x x) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x (.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))))) (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) x)))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (log.f32 x)))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (+.f32 (.f32 #s(literal 6 binary32) (log.f32 x)) (/.f32 #s(literal -2 binary32) (.f32 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (+.f32 (+.f32 (.f32 #s(literal 6 binary32) (log.f32 x)) (/.f32 #s(literal 6 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -2 binary32) (.f32 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+.f32 (.f32 #s(literal 6 binary32) (log.f32 x)) (+.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (+.f32 (/.f32 #s(literal 6 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (.f32 (fabs.f32 x) #s(literal 11520 binary32)) #s(literal 21120 binary32))) (pow.f32 x #s(literal 6 binary32))))) (/.f32 #s(literal -2 binary32) (.f32 x x))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -6 binary32)))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -6 binary32)) (+.f32 (log.f32 #s(literal 1/16 binary32)) (/.f32 #s(literal -2 binary32) (.f32 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (+.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -6 binary32)) (+.f32 (/.f32 #s(literal 6 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -2 binary32) (.f32 x x)))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -6 binary32)) (+.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (+.f32 (/.f32 #s(literal 6 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (.f32 (fabs.f32 x) #s(literal 11520 binary32)) #s(literal 21120 binary32))) (pow.f32 x #s(literal 6 binary32))))) (/.f32 #s(literal -2 binary32) (.f32 x x))))
(fabs x)
(fabs.f32 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* 1/16 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1/8 (pow x 2))
(.f32 (.f32 x x) #s(literal -1/8 binary32))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))
(* 1/16 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/16 binary32))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* 1/16 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/16 binary32))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))

eval109.0ms (1.3%)

Compiler: Compiled 19192 to 3155 computations (83.6% saved)

prune132.0ms (1.5%)

Pruning

41 alts after pruning (27 fresh and 14 done)

	Pruned	Kept	Total
New	968	16	984
Fresh	6	11	17
Picked	0	5	5
Done	0	9	9
Total	974	41	1015

Accuracy

99.8%

Counts

1015 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.4%	(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
	5.8%	(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x #s(literal 1/2 binary32))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
	5.8%	(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 (neg.f32 x) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
	5.8%	(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal -1 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal -1/2 binary32) x)))) x)
	4.5%	(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
	4.5%	(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (.f32 x x)))) x)
	5.9%	(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x x))) x)
	7.4%	(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (/.f32 x #s(literal 1/2 binary32))) x)
	7.4%	(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
	7.4%	(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))) (.f32 x x)) x)
	5.8%	(copysign.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (neg.f32 x) #s(literal -1/2 binary32)))) (.f32 x (*.f32 x x))) x)
	15.6%	(copysign.f32 (/.f32 (fabs.f32 x) x) x)
	7.4%	(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
✓	7.4%	(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
	16.2%	(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
✓	16.8%	(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
	17.2%	(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/3 binary32)) x)))) x)
	7.4%	(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
	58.7%	(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (/.f32 #s(literal 1 binary32) x))) x)
	60.6%	(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) x))) x)
✓	70.2%	(copysign.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
	54.4%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
✓	59.0%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x)
✓	60.8%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
	39.9%	(copysign.f32 (log1p.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x)))))) x)
	15.2%	(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
✓	70.4%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	12.2%	(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
	17.7%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))) #s(literal 1 binary32))) x)
✓	19.8%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))) x)
✓	58.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
✓	19.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
	30.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
	22.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
✓	32.1%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
✓	30.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
	13.2%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (fabs.f32 x)))) x)
✓	12.6%	(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
	20.8%	(copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x)
	10.8%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	15.1%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 1629 to 708 computations (56.5% saved)

regimes44.0ms (0.5%)

Counts

55 → 3

Calls

Call 1

Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))) (.f32 x x)) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (/.f32 x #s(literal 1/2 binary32))) x)
(copysign.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (neg.f32 x) #s(literal -1/2 binary32)))) (.f32 x (*.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 (neg.f32 x) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x #s(literal 1/2 binary32))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal -1 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal -1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (.f32 x x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32))) x)
(copysign.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))) (.f32 x x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x)))))) x)
(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))) #s(literal 1 binary32))) x)
(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.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 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/3 binary32)) x)))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 x x) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 x x) (/.f32 (.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/720 binary32))))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x (.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (.f32 #s(literal 1/720 binary32) (.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))))))))))))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (*.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (*.f32 x x) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

Calls

2 calls:

22.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
17.0ms	x

Results

Accuracy	Segments	Branch
99.5%	3	`x`
99.5%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes36.0ms (0.4%)

Counts

53 → 3

Calls

Call 1

Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))) (.f32 x x)) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (/.f32 x #s(literal 1/2 binary32))) x)
(copysign.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (neg.f32 x) #s(literal -1/2 binary32)))) (.f32 x (*.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 (neg.f32 x) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x #s(literal 1/2 binary32))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal -1 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal -1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (.f32 x x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32))) x)
(copysign.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))) (.f32 x x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x)))))) x)
(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))) #s(literal 1 binary32))) x)
(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.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 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/3 binary32)) x)))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 x x) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

Calls

2 calls:

18.0ms	x
14.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
99.5%	3	`x`
99.5%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts

46 → 3

Calls

Call 1

Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))) (.f32 x x)) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (/.f32 x #s(literal 1/2 binary32))) x)
(copysign.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (neg.f32 x) #s(literal -1/2 binary32)))) (.f32 x (*.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 (neg.f32 x) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x #s(literal 1/2 binary32))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal -1 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal -1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (.f32 x x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32))) x)
(copysign.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))) (.f32 x x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x)))))) x)
(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))) #s(literal 1 binary32))) x)
(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x #s(literal 1/16 binary32)))))))) (/.f32 #s(literal 1 binary32) x))) x)

Outputs

(copysign.f32 (log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x))))) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))))) x)

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Counts

42 → 3

Calls

Call 1

Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))) (.f32 x x)) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (/.f32 x #s(literal 1/2 binary32))) x)
(copysign.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (neg.f32 x) #s(literal -1/2 binary32)))) (.f32 x (*.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 (neg.f32 x) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x #s(literal 1/2 binary32))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal -1 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal -1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (.f32 x x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32))) x)
(copysign.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))) (.f32 x x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x)))))) x)
(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x)

Outputs

(copysign.f32 (log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x))))) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts

41 → 3

Calls

Call 1

Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))) (.f32 x x)) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (/.f32 x #s(literal 1/2 binary32))) x)
(copysign.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (neg.f32 x) #s(literal -1/2 binary32)))) (.f32 x (*.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 (neg.f32 x) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x #s(literal 1/2 binary32))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal -1 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal -1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (.f32 x x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32))) x)
(copysign.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))) (.f32 x x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x)))))) x)
(copysign.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32))))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) x)

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts

37 → 3

Calls

Call 1

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

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Counts

33 → 3

Calls

Call 1

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

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

28 → 3

Calls

Call 1

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

Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
94.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes32.0ms (0.4%)

Counts

25 → 2

Calls

Call 1

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

Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
85.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.2%)

Counts

24 → 1

Calls

Call 1

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

Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
70.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

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

Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 x) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
25.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))) (.f32 x x)) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (/.f32 x #s(literal 1/2 binary32))) x)
(copysign.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (neg.f32 x) #s(literal -1/2 binary32)))) (.f32 x (*.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 (neg.f32 x) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x #s(literal 1/2 binary32))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal -1 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal -1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (.f32 x x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 (log.f32 x) x)

Outputs
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (log.f32 x) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
18.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))) (.f32 x x)) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
(copysign.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (/.f32 x #s(literal 1/2 binary32))) x)
(copysign.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (neg.f32 x) #s(literal -1/2 binary32)))) (.f32 x (*.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 (neg.f32 x) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) (/.f32 x #s(literal 1/2 binary32))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x x))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 x (/.f32 #s(literal -1 binary32) x))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (/.f32 x (/.f32 #s(literal -1/2 binary32) x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (.f32 x x)))) x)
(copysign.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) (.f32 (/.f32 x #s(literal -1/2 binary32)) (.f32 x (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)

Outputs
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
7.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)

Outputs
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
7.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)

Outputs
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
7.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.1011027842760086	0.35633695125579834
0.0ms	-0.24136939644813538	-0.10676794499158859

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.1011027842760086	0.35633695125579834
0.0ms	-0.24136939644813538	-0.10676794499158859

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.3639259934425354	7.227123260498047
0.0ms	-1.111148476600647	-0.819459855556488

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.3639259934425354	7.227123260498047
0.0ms	-1.111148476600647	-0.819459855556488

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.3639259934425354	7.227123260498047
0.0ms	-61.42473602294922	-1.111148476600647

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.3639259934425354	7.227123260498047
0.0ms	-61.42473602294922	-1.111148476600647

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.3639259934425354	7.227123260498047
0.0ms	-61.42473602294922	-1.111148476600647

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.10127510130405426	0.3639259934425354
0.0ms	-1.111148476600647	-0.819459855556488

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.10127510130405426	0.3639259934425354

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-7.780518586053013e-38	2.094145266637865e-38

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-7.780518586053013e-38	2.094145266637865e-38

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

584×	`distribute-lft-neg-in_binary32`
486×	`unsub-neg_binary32`
364×	`neg-mul-1_binary32`
344×	`neg-sub0_binary32`
258×	`cancel-sign-sub_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	526
1	190	526
2	208	526
3	234	524
4	284	524
5	412	524
6	750	524
7	1088	524
8	1417	524
9	1721	524
10	1941	524
11	2066	524
12	2118	524
13	2148	524
14	2160	524
15	2161	524
16	2161	524

Stop Event

1×

saturated

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 -13421773/67108864 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 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 13421773/67108864 binary32)) (copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 x x) (/.f32 (.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/720 binary32))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 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 -13421773/67108864 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 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 13421773/67108864 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -50 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -50 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -50 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(if (<=.f32 x #s(literal -4460149/89202980794122492566142873090593446023921664 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log.f32 x) x))
(if (<=.f32 x #s(literal -4460149/89202980794122492566142873090593446023921664 binary32)) (copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) 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 -13421773/67108864 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 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 13421773/67108864 binary32)) (copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (.f32 x x) (/.f32 (.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/720 binary32))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 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 -13421773/67108864 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 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 13421773/67108864 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x)))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x))))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x)))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -50 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -50 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -50 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -50 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -50 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -50 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x))
(if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(if (<=.f32 x #s(literal -4460149/89202980794122492566142873090593446023921664 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log.f32 x) x))
(if (<=.f32 x #s(literal -4460149/89202980794122492566142873090593446023921664 binary32)) (copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(copysign.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)

soundness2.4s (27.7%)

Rules

4464×	`-lowering-.f32`
4464×	`-lowering-.f64`
3614×	`-lowering-.f32`
3614×	`-lowering-.f64`
3142×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	189	1649
1	518	1446
2	1591	1373
3	6104	1368
0	8583	1368
0	203	2419
1	559	2102
2	1915	2070
3	6682	2062
0	8077	2062
0	32	179
1	106	159
2	332	159
3	963	159
4	3230	159
0	8219	159
0	169	1315
1	517	1085
2	1765	1053
3	6742	1053
0	8047	1053
0	9	11
1	15	9
2	16	9
3	17	9
0	17	9
0	184	2365
1	531	2055
2	1940	2031
3	6925	2021
0	8166	2021

Stop Event

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

Compiler

Compiled 974 to 424 computations (56.5% saved)

preprocess106.0ms (1.2%)

Compiler: Compiled 1150 to 300 computations (73.9% saved)

Iter	Nodes	Cost
0	25	157
1	49	150
2	86	140
3	153	140
4	205	140
5	270	140
6	314	140
7	334	140
8	346	140
9	348	140
0	348	140

Iter	Nodes	Cost
0	25	157
1	49	150
2	86	140
3	153	140
4	205	140
5	270	140
6	314	140
7	334	140
8	346	140
9	348	140
0	348	140

analyze0.0ms (0%)

sample512.0ms (5.9%)

preprocess17.0ms (0.2%)

explain195.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize235.0ms (2.7%)

series6.0ms (0.1%)

rewrite189.0ms (2.2%)

simplify235.0ms (2.7%)

eval16.0ms (0.2%)

prune26.0ms (0.3%)

simplify54.0ms (0.6%)

localize247.0ms (2.8%)

series154.0ms (1.8%)

rewrite238.0ms (2.7%)

simplify403.0ms (4.6%)

eval87.0ms (1%)

prune90.0ms (1%)

simplify151.0ms (1.7%)

localize344.0ms (4%)

series10.0ms (0.1%)

rewrite305.0ms (3.5%)

simplify412.0ms (4.7%)

eval312.0ms (3.6%)

prune288.0ms (3.3%)

simplify125.0ms (1.4%)

localize323.0ms (3.7%)

series33.0ms (0.4%)

rewrite312.0ms (3.6%)

simplify275.0ms (3.2%)

eval109.0ms (1.3%)

prune132.0ms (1.5%)

regimes44.0ms (0.5%)

regimes36.0ms (0.4%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes17.0ms (0.2%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes32.0ms (0.4%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify90.0ms (1%)

soundness2.4s (27.7%)

preprocess106.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	157
1	49	150
2	86	140
3	153	140
4	205	140
5	270	140
6	314	140
7	334	140
8	346	140
9	348	140
0	348	140