Metrics for Rust f64::asinh

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	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)

sample439.0ms (4.8%)

Results

316.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-asinh: 117.0ms (92.1% of total)

const: 7.0ms (5.5% of total)

backward-pass: 3.0ms (2.4% of total)

Bogosity

preprocess15.0ms (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	14	9
2	15	9
3	16	9
0	16	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.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Call 2

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

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

explain229.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
120	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
58	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(fabs.f64 x)`
0	-	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
0	-	-	`#s(literal 1 binary64)`

Results

94.0ms	118×	2	valid
32.0ms	118×	1	valid
27.0ms	276×	0	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-log: 51.0ms (43.5% of total)

ival-copysign: 18.0ms (15.4% of total)

ival-mult: 16.0ms (13.7% of total)

backward-pass: 9.0ms (7.7% of total)

ival-add: 9.0ms (7.7% of total)

ival-sqrt: 8.0ms (6.8% of total)

ival-fabs: 6.0ms (5.1% of total)

const: 1.0ms (0.9% 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
▶	56.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(fabs.f64 x)
✓	cost-diff	(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	15	29
2	16	29
0	16	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(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 (+ (* 1 1) (* x x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fabs x)
(fabs.f64 x)
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize108.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))

Results

78.0ms	119×	5	exit
14.0ms	137×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

compiled-spec: 22.0ms (25.4% of total)

ival-log: 22.0ms (25.4% of total)

backward-pass: 17.0ms (19.6% of total)

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

ival-copysign: 5.0ms (5.8% of total)

ival-add: 5.0ms (5.8% of total)

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

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

const: 1.0ms (1.2% of total)

series8.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<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)>

Outputs
#<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)>

Calls

12 calls:

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

rewrite230.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2066×	`-lowering-.f32`
2066×	`-lowering-.f64`
1844×	`sum5-define`
1470×	`log-lowering-log.f64`
1470×	`log-lowering-log.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	45	24
2	351	24
3	4005	24
0	8050	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 113

Calls

Call 1

Inputs
(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)

Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log1p.f64 (+.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log1p.f64 (+.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(+.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (log.f64 (+.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))) (log1p.f64 (+.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 (.f64 (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 (.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(-.f64 (log.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 9/2 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))

simplify209.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3786×	`-lowering-.f32`
3786×	`-lowering-.f64`
2044×	`sum4-define`
1748×	`sum3-define`
1744×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	576
1	447	501
2	1531	489
3	5703	487
0	8709	487

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(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)

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(+ (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)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))
(+ (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)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 x x) (*.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))))))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (*.f64 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))))
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x x)) (+.f64 (log.f64 x) (/.f64 (.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x x)))))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) 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)))
(-.f64 (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1/6 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)) (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

eval21.0ms (0.2%)

Compiler: Compiled 5153 to 638 computations (87.6% saved)

prune32.0ms (0.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	141	20	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	21	162

Accuracy

100.0%

Counts

162 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.5%	(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
	5.1%	(copysign.f64 (-.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))) x)
	49.8%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
	49.2%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
	10.3%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
	56.7%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
▶	62.8%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	5.1%	(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) x)
	16.1%	(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
▶	16.4%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
	16.7%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
	9.0%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
▶	7.0%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)
	3.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
✓	56.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	10.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
	19.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	29.3%	(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
▶	29.8%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
	29.0%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
▶	9.7%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 754 to 435 computations (42.3% saved)

simplify217.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (fabs.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
✓	cost-diff	128	(log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))
✓	cost-diff	128	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)
✓	cost-diff	256	(/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x)
✓	cost-diff	256	(-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)
✓	cost-diff	256	(log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x))
✓	cost-diff	256	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
✓	cost-diff	256	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
✓	cost-diff	256	(log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))))
✓	cost-diff	256	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(copysign.f64 (log.f64 x) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(log1p.f64 (fabs.f64 x))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)

Rules

1704×	`fnmadd-define`
1700×	`-lowering-.f32`
1700×	`-lowering-.f64`
1440×	`sum4-define`
1408×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	269
1	79	244
2	241	221
3	709	218
4	1732	218
5	2820	218
6	6549	218
0	8032	218

Stop Event

1×	iter limit
1×	node limit

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

Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(log x)
(log.f64 x)
x
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log (* x (+ 1 (/ (fabs x) x))))
(log.f64 (+.f64 x (fabs.f64 x)))
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
x
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
1
#s(literal 1 binary64)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(fabs x)
(fabs.f64 x)
(copysign (log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x))
(log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x)
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/ (* (+ (fabs x) (/ -1/2 x)) x) x)
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(* (+ (fabs x) (/ -1/2 x)) x)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(+ (fabs x) (/ -1/2 x))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(fabs x)
(fabs.f64 x)
x
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(copysign (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))) x)
(log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))
(log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))))
(+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
(+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))
(+ (fabs x) 1)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
1
#s(literal 1 binary64)
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(+ -1/8 (* (* x x) 1/16))
(+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
-1/8
#s(literal -1/8 binary64)
(* (* x x) 1/16)
(.f64 (.f64 x x) #s(literal 1/16 binary64))
1/16
#s(literal 1/16 binary64)

localize177.0ms (1.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/16 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)
✓	accuracy	100.0%	(log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
✓	accuracy	100.0%	(log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 x) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)

Results

66.0ms	191×	0	invalid
54.0ms	65×	1	invalid

Compiler

Compiled 270 to 34 computations (87.4% saved)

Precisions

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

ival-log: 21.0ms (23.8% of total)

ival-mult: 15.0ms (17% of total)

ival-copysign: 13.0ms (14.7% of total)

ival-add: 11.0ms (12.5% of total)

backward-pass: 8.0ms (9.1% of total)

compiled-spec: 8.0ms (9.1% of total)

ival-div: 7.0ms (7.9% of total)

ival-sub: 2.0ms (2.3% of total)

ival-fabs: 2.0ms (2.3% of total)

const: 1.0ms (1.1% of total)

series159.0ms (1.7%)

Counts

21 → 252

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

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

Calls

63 calls:

Time	Variable		Point	Expression
40.0ms	x	@	-inf	(log x)
40.0ms	x	@	inf	(log (+ 1 (fabs x)))
26.0ms	x	@	0	(log (+ 1 (fabs x)))
15.0ms	x	@	-inf	(log (+ 1 (fabs x)))
14.0ms	x	@	inf	(log x)

rewrite148.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`-lowering-.f32`
1002×	`-lowering-.f64`
728×	`/-lowering-/.f32`
728×	`/-lowering-/.f64`
520×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	193
1	192	174
0	1948	174

Stop Event

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

Counts

21 → 181

Calls

Call 1

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

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (.f64 x x)))) (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (.f64 x x)))) (log.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(-.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64))))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
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(/.f64 (neg.f64 (+.f64 (.f64 (fabs.f64 x) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x)))
(.f64 (+.f64 (.f64 (fabs.f64 x) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x))))))
(.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 x x) #s(literal 1/16 binary64))
(.f64 #s(literal 1/16 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/16 binary64)) x)

simplify349.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4594×	`+-lowering-+.f64`
4594×	`+-lowering-+.f32`
2996×	`-lowering-.f32`
2996×	`-lowering-.f64`
1548×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	2189
1	922	2064
2	3257	1911
0	8368	1911

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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 (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) 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)))
(/ (fabs x) x)
(/ (+ x (fabs x)) x)
(/ (+ x (fabs x)) x)
(/ (+ x (fabs x)) x)
1
(+ 1 (/ (fabs x) x))
(+ 1 (/ (fabs x) x))
(+ 1 (/ (fabs x) x))
1
(+ 1 (/ (fabs x) x))
(+ 1 (/ (fabs x) x))
(+ 1 (/ (fabs x) x))
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* -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) (* 1/2 (/ 1 x))) x)))))
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 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) (* (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))))
(+ 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)))))
(+ 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))
-1/2
(- (* x (fabs x)) 1/2)
(- (* x (fabs x)) 1/2)
(- (* x (fabs x)) 1/2)
(* x (fabs x))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(* x (fabs x))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(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)
(* 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))

Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
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(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/720 binary64) (.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))))))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (*.f64 (log.f64 x) #s(literal 6 binary64)))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal 6 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (+.f64 (.f64 (log.f64 x) #s(literal 6 binary64)) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 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))))
(+.f64 (+.f64 (log.f64 #s(literal 1/16 binary64)) (.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 #s(literal 88/3 binary64) (.f64 #s(literal 1/720 binary64) (.f64 (fabs.f64 x) #s(literal 11520 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (+.f64 (log.f64 #s(literal 1/16 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 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))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 #s(literal 88/3 binary64) (.f64 #s(literal 1/720 binary64) (.f64 (fabs.f64 x) #s(literal 11520 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (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)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (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)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
-1/2
#s(literal -1/2 binary64)
(- (* x (fabs x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(- (* x (fabs x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(- (* x (fabs x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(* x (fabs x))
(*.f64 x (fabs.f64 x))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(* x (fabs x))
(*.f64 x (fabs.f64 x))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* x (fabs x)) 1/2) x)
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* x (fabs x)) 1/2) x)
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* x (fabs x)) 1/2) x)
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(fabs x)
(fabs.f64 x)
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(fabs x)
(fabs.f64 x)
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))

eval92.0ms (1%)

Compiler: Compiled 10837 to 1347 computations (87.6% saved)

prune60.0ms (0.7%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	522	6	528
Fresh	6	9	15
Picked	2	3	5
Done	0	1	1
Total	530	19	549

Accuracy

100.0%

Counts

549 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(copysign.f64 (-.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))) x)
▶	56.7%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
▶	50.2%	(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))) x)
✓	62.8%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	5.1%	(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) x)
▶	26.0%	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
	16.1%	(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
▶	26.9%	(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
▶	16.7%	(copysign.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)) x)
	7.0%	(copysign.f64 (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))) x)
✓	7.0%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)
	3.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
✓	56.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	10.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
	19.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	29.8%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
	29.3%	(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
	29.0%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
✓	9.7%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 669 to 386 computations (42.3% saved)

simplify200.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))
✓	cost-diff	0	(log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64)))))))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))) x)
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))))
✓	cost-diff	384	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)
✓	cost-diff	384	(log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x))
✓	cost-diff	384	(copysign.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)) x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)
✓	cost-diff	0	(log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))
✓	cost-diff	0	(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
✓	cost-diff	192	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	192	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)

Rules

2242×	`-lowering-.f32`
2242×	`-lowering-.f64`
2210×	`fma-lowering-fma.f32`
2210×	`fma-lowering-fma.f64`
1714×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	284
1	100	272
2	315	269
3	776	269
4	1979	269
5	3840	269
6	6825	269
0	8534	269

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fabs x)
(fabs.f64 x)
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(log (/ -1/2 x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(log (- (+ (fabs x) (/ -1/2 x)) x))
(log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(- (+ (fabs x) (/ -1/2 x)) x)
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(+ (fabs x) (/ -1/2 x))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(fabs x)
(fabs.f64 x)
x
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(copysign (log (- (* (/ 1 x) (* x (+ (fabs x) (/ -1/2 x)))) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(log (- (* (/ 1 x) (* x (+ (fabs x) (/ -1/2 x)))) x))
(log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(- (* (/ 1 x) (* x (+ (fabs x) (/ -1/2 x)))) x)
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* (/ 1 x) (* x (+ (fabs x) (/ -1/2 x))))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* x (+ (fabs x) (/ -1/2 x)))
(+.f64 (*.f64 x (fabs.f64 x)) #s(literal -1/2 binary64))
(+ (fabs x) (/ -1/2 x))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(fabs x)
(fabs.f64 x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) (+ (* x (* x 1/16)) -1/8))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) x)
(log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) (+ (* x (* x 1/16)) -1/8)))))))
(log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))
(+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) (+ (* x (* x 1/16)) -1/8)))))
(+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
(fabs x)
(fabs.f64 x)
x
(* (* x x) (+ 1/2 (* (* x x) (+ (* x (* x 1/16)) -1/8))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/2 (* (* x x) (+ (* x (* x 1/16)) -1/8)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ (* x (* x 1/16)) -1/8))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))
(+ (* x (* x 1/16)) -1/8)
(+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(* x (* x 1/16))
(.f64 (.f64 x x) #s(literal 1/16 binary64))
(* x 1/16)
(*.f64 x #s(literal 1/16 binary64))
1/16
#s(literal 1/16 binary64)
-1/8
#s(literal -1/8 binary64)

localize322.0ms (3.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64)))))
✓	accuracy	80.3%	(log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64)))))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)
✓	accuracy	100.0%	(log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x))
✓	accuracy	89.8%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))))
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)
✓	accuracy	100.0%	(log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))

Results

139.0ms	62×	5	exit
75.0ms	129×	0	invalid
34.0ms	65×	0	valid

Compiler

Compiled 322 to 37 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-add: 43.0ms (22.2% of total)

ival-log: 38.0ms (19.6% of total)

compiled-spec: 27.0ms (13.9% of total)

backward-pass: 25.0ms (12.9% of total)

ival-copysign: 20.0ms (10.3% of total)

ival-mult: 20.0ms (10.3% of total)

ival-div: 9.0ms (4.6% of total)

ival-sub: 4.0ms (2.1% of total)

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

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

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

const: 2.0ms (1% of total)

series52.0ms (0.6%)

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (/ (fabs x) x) (log (/ 1 x)))>
#<alt (- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))>
#<alt (- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (log (/ 1 (+ 1 (fabs x))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (log (/ 1 x))>
#<alt (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (/ (fabs x) x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (/ 1 (+ 1 (fabs x)))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ (fabs x) x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 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 (/ -1/2 x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))>
#<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 (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<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) (* 1/2 (/ 1 x))) x)))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))>
#<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 (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<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) (* 1/2 (/ 1 x))) x)))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 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) (* (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 (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 (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 (* 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

66 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(log (/ -1/2 x))
14.0ms	x	@	-inf	(log (/ -1/2 x))
6.0ms	x	@	inf	(log (/ -1/2 x))
2.0ms	x	@	0	(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
2.0ms	x	@	-inf	(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))

rewrite428.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3352×	`-lowering-.f32`
3352×	`-lowering-.f64`
2752×	`fma-lowering-fma.f32`
2752×	`fma-lowering-fma.f64`
2312×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	211
1	231	200
2	2184	200
0	9410	200

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 458

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(-.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))) (log.f64 (+.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))) (log.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))))) (log.f64 (neg.f64 (+.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))
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(fabs.f64 x)
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(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
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(fma.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
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(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) x) x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
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(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) x)
(+.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(fma.f64 x (.f64 x #s(literal -1/8 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(fma.f64 x (.f64 (.f64 x #s(literal 1/16 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (.f64 x x))
(.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) x)

simplify535.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

3744×	`-lowering-.f32`
3744×	`-lowering-.f64`
2606×	`+-lowering-+.f64`
2606×	`+-lowering-+.f32`
1552×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	3755
1	1455	3421
2	5346	3342
0	8050	3342

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
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(* -1 (log (/ 1 x)))
(- (/ (fabs x) x) (log (/ 1 x)))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
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(log (/ 1 x))
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(/ 1 (+ 1 (fabs x)))
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(/ 1 x)
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(copysign (log (/ -1/2 x)) x)
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(/ -1/2 x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
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(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(+ (log -1/2) (* -1 (log x)))
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(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
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(/ -1/2 x)
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x
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(* 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 (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(log1p.f64 (fabs.f64 x))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 24 binary64) (.f64 (fabs.f64 x) #s(literal 24 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -720 binary64))) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 90 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal -30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))) (.f64 (.f64 x x) #s(literal -1/720 binary64))) (.f64 #s(literal -1/24 binary64) (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 24 binary64) (*.f64 (fabs.f64 x) #s(literal 24 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(- (/ (fabs x) x) (log (/ 1 x)))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 x x)) (log.f64 x)) (/.f64 (fabs.f64 x) x))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 #s(literal -6 binary64) (+.f64 (.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))))))) (.f64 x (.f64 x x))) (-.f64 (log.f64 x) (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(-.f64 (/.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(-.f64 (/.f64 (+.f64 (fabs.f64 x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(-.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 #s(literal -6 binary64) (+.f64 (.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 x x))))))) x)) (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(log (/ 1 (+ 1 (fabs x))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (fabs.f64 x)))
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 24 binary64) (.f64 (fabs.f64 x) #s(literal 24 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (log1p.f64 (fabs.f64 x)))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 24 binary64) (.f64 (fabs.f64 x) #s(literal 24 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -720 binary64))) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 90 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal -30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))) #s(literal 1/720 binary64))))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(log (/ 1 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 (fabs.f64 x) x))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))
(-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) x) x) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))) (.f64 (/.f64 (+.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 #s(literal -6 binary64) (+.f64 (.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 x x))))))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(log (/ -1 x))
(log.f64 (/.f64 #s(literal -1 binary64) x))
(+ (log (/ -1 x)) (/ (fabs x) x))
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (/.f64 (+.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 #s(literal -6 binary64) (+.f64 (.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) x)) (-.f64 #s(literal 0 binary64) x)) (fabs.f64 x)) x))
(/ 1 (+ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
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(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))
(* 1/16 (pow x 4))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* 1/16 (pow x 4))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))

eval125.0ms (1.4%)

Compiler: Compiled 38990 to 2554 computations (93.4% saved)

prune107.0ms (1.2%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	880	11	891
Fresh	1	9	10
Picked	2	3	5
Done	0	4	4
Total	883	27	910

Accuracy

100.0%

Counts

910 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(copysign.f64 (-.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))) x)
▶	56.7%	(copysign.f64 (neg.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) x)
	7.0%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64)))))))))) x)
✓	56.7%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
	19.8%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
	26.1%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x)
▶	16.9%	(copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) x)
✓	50.2%	(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))) x)
	47.1%	(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
	53.3%	(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
✓	62.8%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	5.1%	(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) x)
✓	26.0%	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
▶	1.8%	(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
	16.1%	(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
	1.7%	(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
	1.8%	(copysign.f64 (log.f64 (-.f64 (-.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))) x)) x)
	7.0%	(copysign.f64 (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))) x)
	26.1%	(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)
✓	7.0%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)
	3.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
✓	56.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
▶	19.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	29.8%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
▶	29.3%	(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
	29.0%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
✓	9.7%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 1437 to 649 computations (54.8% saved)

simplify222.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	1280	(+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))
✓	cost-diff	1664	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))
✓	cost-diff	1664	(log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))))
✓	cost-diff	1664	(copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) x)
✓	cost-diff	0	(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓	cost-diff	256	(.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	cost-diff	256	(log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	cost-diff	256	(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) #s(literal 1 binary64))
✓	cost-diff	128	(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	cost-diff	128	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
✓	cost-diff	256	(/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))
✓	cost-diff	256	(-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)
✓	cost-diff	256	(log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x))
✓	cost-diff	256	(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
✓	cost-diff	12736	(neg.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓	cost-diff	12736	(copysign.f64 (neg.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) x)
✓	cost-diff	12800	(pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	12800	(log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Rules

2250×	`-lowering-.f32`
2250×	`-lowering-.f64`
1840×	`fnmadd-define`
1810×	`+-lowering-+.f64`
1810×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	1099
1	182	886
2	546	822
3	2347	806
4	7560	794
0	8522	794

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(copysign (neg (log (pow (pow (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) -1/2) 2))) x)
(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x))))) x)
(neg (log (pow (pow (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) -1/2) 2)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))))
(log (pow (pow (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) -1/2) 2))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x))))
(pow (pow (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) -1/2) 2)
(/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(pow (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) -1/2)
(pow.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)) #s(literal -1/2 binary64))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(copysign (log (- (/ (- (* x x) (/ 1/4 (* x x))) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))))) x)) x)
(log (- (/ (- (* x x) (/ 1/4 (* x x))) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))
(log.f64 (-.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))))) x))
(- (/ (- (* x x) (/ 1/4 (* x x))) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x)
(-.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))))) x)
(/ (- (* x x) (/ 1/4 (* x x))) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2))))))
(/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))))
(- (* x x) (/ 1/4 (* x x)))
(+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))
(* x x)
(*.f64 x x)
x
(/ 1/4 (* x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))))
(- (* x (* x x)) (/ -1/8 (* x (* x x))))
(+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))
(* x (* x x))
(.f64 x (.f64 x x))
(/ -1/8 (* x (* x x)))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2))))
(+.f64 (.f64 x x) (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))
(/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))
(/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64)))
(+ (* 1/4 (/ x -1/2)) (* x (* x x)))
(.f64 x (+.f64 (.f64 x x) #s(literal -1/2 binary64)))
(* 1/4 (/ x -1/2))
(*.f64 x #s(literal -1/2 binary64))
(/ x -1/2)
(/.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* x x) (/ x -1/2))
(/.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64))
(copysign (log (+ (fabs x) 1)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ (fabs x) 1))
(log1p.f64 (fabs.f64 x))
(+ (fabs x) 1)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
1
#s(literal 1 binary64)
(copysign (log (* x (+ (/ (fabs x) x) (+ 1 (/ 1/2 (* x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))) x)
(log (* x (+ (/ (fabs x) x) (+ 1 (/ 1/2 (* x x))))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* x (+ (/ (fabs x) x) (+ 1 (/ 1/2 (* x x)))))
(+.f64 (fabs.f64 x) (+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
x
(+ (/ (fabs x) x) (+ 1 (/ 1/2 (* x x))))
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(fabs x)
(fabs.f64 x)
(+ 1 (/ 1/2 (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
(copysign (log (+ 1 (/ (+ (* (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))) (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))))) (* x (* x x))) (+ (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))) (- (* x x) (* (* x (* x x)) (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))))) x)
(copysign.f64 (log1p.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) #s(literal 1 binary64)) (.f64 x x)) (-.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))))))))) x)
(log (+ 1 (/ (+ (* (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))) (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))))) (* x (* x x))) (+ (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))) (- (* x x) (* (* x (* x x)) (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))))))
(log1p.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) #s(literal 1 binary64)) (.f64 x x)) (-.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))))))
(/ (+ (* (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))) (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))))) (* x (* x x))) (+ (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))) (- (* x x) (* (* x (* x x)) (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) #s(literal 1 binary64)) (.f64 x x)) (-.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))))))))
(+ (* (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))) (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))))) (* x (* x x)))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))
(* (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))) (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))
(* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))
x
(* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
(+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (* x (+ (* (* x x) 1/16) -1/8)))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))
(* x (+ (* (* x x) 1/16) -1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))
(+ (* (* x x) 1/16) -1/8)
(+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
(* (* x x) 1/16)
(.f64 (.f64 x x) #s(literal 1/16 binary64))
(* x x)
(*.f64 x x)
1/16
#s(literal 1/16 binary64)
-1/8
#s(literal -1/8 binary64)
(* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))
(* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
(* x (* x x))
(.f64 x (.f64 x x))
(+ (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))) (- (* x x) (* (* x (* x x)) (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))
(.f64 x (-.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))))))
(- (* x x) (* (* x (* x x)) (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))))
(* (* x (* x x)) (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))))

localize406.0ms (4.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))))
✓	accuracy	100.0%	(.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x))
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(neg.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓	accuracy	100.0%	(log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(fabs.f64 x)

Results

128.0ms	190×	0	invalid
126.0ms	66×	1	invalid

Compiler

Compiled 1254 to 61 computations (95.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 49.0ms (26.1% of total)

ival-div: 24.0ms (12.8% of total)

ival-add: 20.0ms (10.7% of total)

ival-log: 19.0ms (10.1% of total)

compiled-spec: 19.0ms (10.1% of total)

ival-pow: 16.0ms (8.5% of total)

ival-copysign: 15.0ms (8% of total)

backward-pass: 10.0ms (5.3% of total)

ival-sub: 7.0ms (3.7% of total)

ival-sqrt: 3.0ms (1.6% of total)

ival-fabs: 3.0ms (1.6% of total)

const: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% of total)

series48.0ms (0.5%)

Counts

25 → 300

Calls

Call 1

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

Outputs
#<alt (log (/ 1 (+ 1 (fabs x))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (log (/ 1 x))>
#<alt (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (/ (fabs x) x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (/ 1 (+ 1 (fabs x)))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ (fabs x) x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (/ (fabs x) x) (log (/ 1 x)))>
#<alt (- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))>
#<alt (- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)>
#<alt (copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)>
#<alt (copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)>
#<alt (copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)>
#<alt (copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 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 (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<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 (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 (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))>
#<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 (+ (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 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* x (fabs x))) x)>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)>
#<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))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* x (fabs x))) (pow x 2))>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (/ (fabs x) x))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))>
#<alt 1>
#<alt (+ 1 (/ (fabs x) x))>
#<alt (+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))>
#<alt (copysign (log (+ 1 (+ (/ (* (pow x 6) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 3)) (- (+ (* (pow x 4) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 2)) (pow x 2)) (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (/ (pow x 3) (- (+ (* (pow x 4) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 2)) (pow x 2)) (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))) x)>
#<alt (copysign (log (+ 1 (+ (/ (* (pow x 6) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 3)) (- (+ (* (pow x 4) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 2)) (pow x 2)) (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (/ (pow x 3) (- (+ (* (pow x 4) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 2)) (pow x 2)) (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))) x)>
#<alt (copysign (log (+ 1 (+ (/ (* (pow x 6) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 3)) (- (+ (* (pow x 4) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 2)) (pow x 2)) (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (/ (pow x 3) (- (+ (* (pow x 4) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 2)) (pow x 2)) (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))) x)>
#<alt (copysign (log (+ 1 (+ (/ (* (pow x 6) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 3)) (- (+ (* (pow x 4) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 2)) (pow x 2)) (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (/ (pow x 3) (- (+ (* (pow x 4) (pow (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))) 2)) (pow x 2)) (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))) x)>
#<alt (copysign (log (+ 1 (+ (/ (* (pow x 6) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 3)) (- (+ (* 1/8 (pow x 5)) (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2))) (+ (* 1/16 (pow x 7)) (* 1/2 (pow x 3))))) (/ (pow x 3) (- (+ (* 1/8 (pow x 5)) (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2))) (+ (* 1/16 (pow x 7)) (* 1/2 (pow x 3)))))))) x)>
#<alt (copysign (log (+ 1 (+ (/ (* (pow x 6) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 3)) (- (+ (* 1/8 (pow x 5)) (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2))) (+ (* 1/16 (pow x 7)) (* 1/2 (pow x 3))))) (/ (pow x 3) (- (+ (* 1/8 (pow x 5)) (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2))) (+ (* 1/16 (pow x 7)) (* 1/2 (pow x 3)))))))) x)>
#<alt (copysign (log (+ 1 (+ (/ (* (pow x 6) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 3)) (- (+ (* 1/8 (pow x 5)) (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2))) (+ (* 1/16 (pow x 7)) (* 1/2 (pow x 3))))) (/ (pow x 3) (- (+ (* 1/8 (pow x 5)) (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2))) (+ (* 1/16 (pow x 7)) (* 1/2 (pow x 3)))))))) x)>
#<alt (copysign (log (+ 1 (+ (/ (* (pow x 6) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 3)) (- (+ (* 1/8 (pow x 5)) (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2))) (+ (* 1/16 (pow x 7)) (* 1/2 (pow x 3))))) (/ (pow x 3) (- (+ (* 1/8 (pow x 5)) (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2))) (+ (* 1/16 (pow x 7)) (* 1/2 (pow x 3)))))))) x)>
#<alt (copysign (log (- (+ 1 (/ (* (pow x 6) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 3)) (- (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2)) (* (pow x 3) (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))))))) (* -1 (/ (pow x 3) (- (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2)) (* (pow x 3) (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))))))))) x)>
#<alt (copysign (log (- (+ 1 (/ (* (pow x 6) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 3)) (- (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2)) (* (pow x 3) (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))))))) (* -1 (/ (pow x 3) (- (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2)) (* (pow x 3) (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))))))))) x)>
#<alt (copysign (log (- (+ 1 (/ (* (pow x 6) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 3)) (- (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2)) (* (pow x 3) (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))))))) (* -1 (/ (pow x 3) (- (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2)) (* (pow x 3) (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))))))))) x)>
#<alt (copysign (log (- (+ 1 (/ (* (pow x 6) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 3)) (- (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2)) (* (pow x 3) (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))))))) (* -1 (/ (pow x 3) (- (+ (* (pow x 4) (pow (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))) 2)) (pow x 2)) (* (pow x 3) (- (+ 1/2 (* 1/16 (pow x 4))) (* 1/8 (pow x 2))))))))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<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))) (+ (* 16 (/ 1 (pow x 5))) (/ 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))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (* x (+ 1 (* x (+ 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 5)))) (* 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 5)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* (pow x 2) (+ 1 (* x (- (* x (+ 1/4 (* 1/8 x))) 1/2))))>
#<alt (* 1/256 (pow x 12))>
#<alt (* (pow x 12) (- 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 1/256 (/ 5/64 (pow x 4))) (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 1/256 (/ 5/64 (pow x 4))) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 5))))))>
#<alt (* 1/256 (pow x 12))>
#<alt (* (pow x 12) (- 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 1/256 (/ 5/64 (pow x 4))) (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 1/256 (/ 5/64 (pow x 4))) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 5))))))>
#<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 (* -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 (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 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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

75 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(log (- (/ (- (* x x) (/ 1/4 (* x x))) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))
9.0ms	x	@	-inf	(log (- (/ (- (* x x) (/ 1/4 (* x x))) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))
8.0ms	x	@	inf	(log (- (/ (- (* x x) (/ 1/4 (* x x))) (/ (- (* x (* x x)) (/ -1/8 (* x (* x x)))) (+ (* x x) (/ (+ (* 1/4 (/ x -1/2)) (* x (* x x))) (* (* x x) (/ x -1/2)))))) x))
2.0ms	x	@	-inf	(* 1/4 (/ x -1/2))
1.0ms	x	@	inf	(copysign (log (+ 1 (/ (+ (* (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))) (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))))))) (* x (* x x))) (+ (* x (* (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8))))) (* x (* x (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))) (- (* x x) (* (* x (* x x)) (+ 1/2 (* x (* x (+ (* (* x x) 1/16) -1/8)))))))))) x)

rewrite397.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2678×	`-lowering-.f32`
2678×	`-lowering-.f64`
2148×	`/-lowering-/.f32`
2148×	`/-lowering-/.f64`
1782×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	676
1	446	496
2	4614	486
0	8025	486

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 342

Calls

Call 1

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

Outputs
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 #s(literal -1/4 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1/2 binary64) (log.f64 (.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)))
(copysign.f64 (*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) x)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(-.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64)))))) x)) x)
(log.f64 (-.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64)))))) x))
(+.f64 (log.f64 (-.f64 (.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))) (.f64 x (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))) (.f64 x (+.f64 x (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64))))))))))))
(+.f64 (log.f64 (.f64 (+.f64 x (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64))))))) (-.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64)))))) x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 1/2 binary64))))))))))
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(-.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (fabs.f64 x) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (+.f64 (.f64 (fabs.f64 x) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (.f64 (fabs.f64 x) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (fabs.f64 x) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(.f64 (+.f64 (.f64 (fabs.f64 x) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))) x)

simplify383.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

3632×	`-lowering-.f32`
3632×	`-lowering-.f64`
2762×	`+-lowering-+.f64`
2762×	`+-lowering-+.f32`
1494×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	559	5025
1	1801	4577
2	6243	4476
0	8148	4476

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(log (/ 1 (+ 1 (fabs x))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (/ 1 x))
(+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(log (/ -1 x))
(+ (log (/ -1 x)) (/ (fabs x) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(/ 1 (+ 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(- (/ (fabs x) x) (log (/ 1 x)))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (+ (* -1/2 x) (pow x 3)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (- (/ (* (+ (* -1/2 (/ (- (pow x 3) (* 1/2 x)) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (+ (* 1/8 (/ 1 (pow x 3))) (pow x 3))) x)) x)
(copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)
(copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)
(copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)
(copysign (log (+ (* -1 x) (* -1 (/ (* (+ (* -1/2 (/ (- (* -1/2 x) (* -1 (pow x 3))) (pow x 3))) (pow x 2)) (- (pow x 2) (* 1/4 (/ 1 (pow x 2))))) (- (* -1 (pow x 3)) (* 1/8 (/ 1 (pow x 3)))))))) x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 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)
(/ -1/2 x)
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(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))
(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 (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
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Outputs
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eval234.0ms (2.6%)

Compiler: Compiled 89663 to 3942 computations (95.6% saved)

prune137.0ms (1.5%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1168	8	1176
Fresh	8	7	15
Picked	3	2	5
Done	4	3	7
Total	1183	20	1203

Accuracy

100.0%

Counts

1203 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(copysign.f64 (-.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))) x)
	49.1%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
	49.2%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
	49.0%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
✓	56.7%	(copysign.f64 (neg.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) x)
✓	56.7%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
	26.1%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x)
	55.0%	(copysign.f64 (log1p.f64 x) x)
	5.1%	(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) x)
	17.4%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)) x)
	28.5%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
✓	26.0%	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
	2.7%	(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) x)) x)
	16.1%	(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
	1.7%	(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
	26.1%	(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)
✓	56.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
✓	29.3%	(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
	29.0%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
	49.8%	(copysign.f64 x x)

Compiler

Compiled 1392 to 512 computations (63.2% saved)

regimes34.0ms (0.4%)

Counts

47 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
(copysign.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) x)
(copysign.f64 (-.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))) x)
(copysign.f64 (neg.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)

Outputs

(copysign.f64 (neg.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) x)

(copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Calls

2 calls:

16.0ms	x
11.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes33.0ms (0.4%)

Counts

45 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
(copysign.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) x)
(copysign.f64 (-.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))) x)

Outputs

(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)

(copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Calls

2 calls:

13.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
12.0ms	x

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes29.0ms (0.3%)

Counts

41 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
(copysign.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Outputs

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

(copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Calls

2 calls:

13.0ms	x
10.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

39 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
(copysign.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))) x)

Outputs

(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x)

(copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)

(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) x)

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts

36 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
(copysign.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x)

Outputs

(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x)

(copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)

(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts

35 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
(copysign.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)

Outputs

(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)

(copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)

(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts

27 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)

Outputs

(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x)

(copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)

(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))) x)) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal -1/2 binary64)))))))) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)

Outputs

(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)

(copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)

(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)

Outputs
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)

Outputs
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)

Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
56.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)
(copysign.f64 (log.f64 x) x)

Outputs
(copysign.f64 x x)
(copysign.f64 (log.f64 x) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
56.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.7b remaining (-2.3%)

Threshold costs -0.7b (-2.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x)

Outputs
(copysign.f64 x x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
49.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00023248367118894244	4.826014927755333
0.0ms	-0.11491701519386488	-0.0

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00023248367118894244	4.826014927755333
0.0ms	-0.11491701519386488	-0.0

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00023248367118894244	4.826014927755333
0.0ms	-0.11491701519386488	-0.0

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch70.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.0002324836732831325	62.35248021244561
44.0ms	-15.28120260700809	-0.11517011308111706

Results

56.0ms

256×

valid

Compiler

Compiled 874 to 586 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (37.9% of total)

ival-add: 3.0ms (16.3% of total)

ival-log: 3.0ms (16.3% of total)

ival-copysign: 2.0ms (10.8% of total)

ival-fabs: 2.0ms (10.8% of total)

ival-sqrt: 2.0ms (10.8% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0002324836732831325	62.35248021244561
21.0ms	-15.28120260700809	-0.11517011308111706

Results

28.0ms

256×

valid

Compiler

Compiled 784 to 541 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log: 10.0ms (47.2% of total)

ival-add: 3.0ms (14.2% of total)

ival-copysign: 2.0ms (9.4% of total)

ival-fabs: 2.0ms (9.4% of total)

ival-mult: 2.0ms (9.4% of total)

ival-sqrt: 2.0ms (9.4% of total)

const: 0.0ms (0% of total)

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

bsearch69.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.0002324836732831325	62.35248021244561
41.0ms	-15.28120260700809	-0.11517011308111706

Results

29.0ms

256×

valid

Compiler

Compiled 679 to 464 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (49.9% of total)

ival-add: 3.0ms (13.6% of total)

ival-log: 3.0ms (13.6% of total)

ival-copysign: 2.0ms (9.1% of total)

ival-fabs: 2.0ms (9.1% of total)

ival-sqrt: 2.0ms (9.1% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0002324836732831325	62.35248021244561
28.0ms	-15.28120260700809	-0.11517011308111706

Results

36.0ms

256×

valid

Compiler

Compiled 580 to 401 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 4.0ms (26.5% of total)

ival-add: 3.0ms (19.8% of total)

ival-copysign: 2.0ms (13.2% of total)

ival-fabs: 2.0ms (13.2% of total)

ival-mult: 2.0ms (13.2% of total)

ival-sqrt: 2.0ms (13.2% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.0002324836732831325	62.35248021244561
13.0ms	-15.28120260700809	-0.11517011308111706

Results

25.0ms

256×

valid

Compiler

Compiled 545 to 380 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 7.0ms (37.6% of total)

ival-log: 3.0ms (16.1% of total)

ival-copysign: 2.0ms (10.7% of total)

ival-fabs: 2.0ms (10.7% of total)

ival-mult: 2.0ms (10.7% of total)

ival-sqrt: 2.0ms (10.7% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-15.28120260700809	-0.11517011308111706

Results

14.0ms

112×

valid

Compiler

Compiled 115 to 82 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sqrt: 6.0ms (54.3% of total)

ival-copysign: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

ival-log: 1.0ms (9.1% of total)

ival-fabs: 1.0ms (9.1% of total)

ival-mult: 1.0ms (9.1% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-15.28120260700809	-0.11517011308111706

Results

10.0ms

112×

valid

Compiler

Compiled 115 to 82 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-fabs: 2.0ms (27.3% of total)

ival-copysign: 1.0ms (13.6% of total)

ival-add: 1.0ms (13.6% of total)

ival-log: 1.0ms (13.6% of total)

ival-mult: 1.0ms (13.6% of total)

ival-sqrt: 1.0ms (13.6% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0002324836732831325	62.35248021244561

Results

11.0ms

144×

valid

Compiler

Compiled 116 to 75 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-log: 2.0ms (26.8% of total)

ival-copysign: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

ival-fabs: 1.0ms (13.4% of total)

ival-mult: 1.0ms (13.4% of total)

ival-sqrt: 1.0ms (13.4% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0002324836732831325	62.35248021244561

Results

11.0ms

144×

valid

Compiler

Compiled 116 to 75 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 2.0ms (26.5% of total)

ival-log: 2.0ms (26.5% of total)

ival-copysign: 1.0ms (13.3% of total)

ival-fabs: 1.0ms (13.3% of total)

ival-mult: 1.0ms (13.3% of total)

ival-sqrt: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

440×	`distribute-lft-neg-in_binary64`
260×	`neg-mul-1_binary64`
254×	`neg-sub0_binary64`
216×	`distribute-neg-in_binary64`
202×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	555
1	181	553
2	203	553
3	232	551
4	296	551
5	382	551
6	523	551
7	742	551
8	985	551
9	1243	551
10	1443	551
11	1538	551
12	1556	551

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/18446744073709551616 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/18446744073709551616 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/18446744073709551616 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)))
(if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/18446744073709551616 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/18446744073709551616 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/18446744073709551616 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/18446744073709551616 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/18446744073709551616 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)))
(if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) #s(literal -1 binary64)))))) x) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))) x)))
(if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)) #s(literal -1 binary64)))))) x) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x) #s(literal -1 binary64)))))) x) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

soundness2.3s (25.3%)

Rules

4594×	`+-lowering-+.f64`
4594×	`+-lowering-+.f32`
3786×	`-lowering-.f32`
3786×	`-lowering-.f64`
3744×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	3755
1	1455	3421
2	5346	3342
0	8050	3342
0	39	211
1	231	200
2	2184	200
0	9410	200
0	559	5025
1	1801	4577
2	6243	4476
0	8148	4476
0	147	576
1	447	501
2	1531	489
3	5703	487
0	8709	487
0	305	2189
1	922	2064
2	3257	1911
0	8368	1911
0	9	11
1	14	9
2	15	9
3	16	9
0	16	9
0	10	24
1	45	24
2	351	24
3	4005	24
0	8050	24

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
1×	iter limit
1×	node limit

Compiler

Compiled 1650 to 852 computations (48.4% saved)

preprocess129.0ms (1.4%)

Compiler: Compiled 1198 to 300 computations (75% saved)

analyze0.0ms (0%)

sample439.0ms (4.8%)

preprocess15.0ms (0.2%)

explain229.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize108.0ms (1.2%)

series8.0ms (0.1%)

rewrite230.0ms (2.5%)

simplify209.0ms (2.3%)

eval21.0ms (0.2%)

prune32.0ms (0.4%)

simplify217.0ms (2.4%)

localize177.0ms (1.9%)

series159.0ms (1.7%)

rewrite148.0ms (1.6%)

simplify349.0ms (3.8%)

eval92.0ms (1%)

prune60.0ms (0.7%)

simplify200.0ms (2.2%)

localize322.0ms (3.5%)

series52.0ms (0.6%)

rewrite428.0ms (4.7%)

simplify535.0ms (5.8%)

eval125.0ms (1.4%)

prune107.0ms (1.2%)

simplify222.0ms (2.4%)

localize406.0ms (4.4%)

series48.0ms (0.5%)

rewrite397.0ms (4.3%)

simplify383.0ms (4.2%)

eval234.0ms (2.6%)

prune137.0ms (1.5%)

regimes34.0ms (0.4%)

regimes33.0ms (0.4%)

regimes29.0ms (0.3%)

regimes22.0ms (0.2%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch70.0ms (0.8%)

bsearch43.0ms (0.5%)

bsearch69.0ms (0.8%)

bsearch50.0ms (0.5%)

bsearch38.0ms (0.4%)

bsearch19.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch17.0ms (0.2%)

simplify70.0ms (0.8%)

soundness2.3s (25.3%)

preprocess129.0ms (1.4%)

end0.0ms (0%)

Profiling