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)

sample486.0ms (5.5%)

Results

334.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-asinh: 108.0ms (91.6% of total)

const: 7.0ms (5.9% of total)

backward-pass: 3.0ms (2.5% of total)

Bogosity

preprocess12.0ms (0.1%)

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)))

explain204.0ms (2.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
118	-	1	(0.010828833151504735)	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
73	-	0	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	0	-	`x`
0	-	0	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	0	-	`(fabs.f64 x)`
0	-	0	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
0	-	0	-	`#s(literal 1 binary64)`

Results

67.0ms	112×	2	valid
55.0ms	114×	1	valid
33.0ms	286×	0	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-log: 30.0ms (39.3% of total)

ival-add: 9.0ms (11.8% of total)

backward-pass: 8.0ms (10.5% of total)

ival-copysign: 8.0ms (10.5% of total)

ival-sqrt: 7.0ms (9.2% of total)

ival-mult: 7.0ms (9.2% of total)

ival-fabs: 6.0ms (7.9% of total)

const: 1.0ms (1.3% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.4%	(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)

localize137.0ms (1.6%)

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	99.4%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))

Results

106.0ms	113×	5	exit
15.0ms	143×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-log: 17.0ms (24.5% of total)

compiled-spec: 16.0ms (23.1% of total)

backward-pass: 10.0ms (14.4% of total)

ival-copysign: 7.0ms (10.1% of total)

ival-mult: 7.0ms (10.1% of total)

ival-add: 6.0ms (8.6% of total)

ival-fabs: 4.0ms (5.8% of total)

ival-sqrt: 3.0ms (4.3% of total)

const: 1.0ms (1.4% of total)

series4.0ms (0%)

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	(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
0.0ms	x	@	inf	(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))

rewrite271.0ms (3.1%)

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))

simplify228.0ms (2.6%)

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)

eval20.0ms (0.2%)

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

prune55.0ms (0.6%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	134	27	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	134	28	162

Accuracy

99.7%

Counts

162 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.1%	(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
	54.3%	(copysign.f64 (-.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)))))) x)
▶	5.9%	(copysign.f64 (-.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))))) x)
	5.8%	(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)
	5.9%	(copysign.f64 (-.f64 (log.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))))) (log.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) x)
	13.8%	(copysign.f64 (-.f64 (log.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)))))) (log.f64 (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))))))) x)
	5.9%	(copysign.f64 (-.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)))))) x)
	48.0%	(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)
	47.7%	(copysign.f64 (+.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)))))))))))) x)
	47.8%	(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)
	5.6%	(copysign.f64 (+.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))))) x)
	10.5%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
	58.4%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
▶	61.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	5.9%	(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))) x)
	14.9%	(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)
	14.9%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
	15.2%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
	9.6%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
▶	7.3%	(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)
	4.6%	(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)
✓	58.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
▶	10.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
	20.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	29.2%	(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)
	29.7%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
	28.5%	(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)
▶	10.0%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 1308 to 709 computations (45.8% saved)

simplify209.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	640	(+.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	7040	(log.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	7168	(-.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)))))
✓	cost-diff	7168	(copysign.f64 (-.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))))) x)
✓	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	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	128	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	128	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) 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

1840×	`-lowering-.f32`
1840×	`-lowering-.f64`
1698×	`fma-lowering-fma.f32`
1698×	`fma-lowering-fma.f64`
1392×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	309
1	95	288
2	268	268
3	698	242
4	1487	242
5	2983	242
6	3332	242
7	4795	242
8	7521	242
0	8179	242

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 (+ (fabs x) (+ 1 (* x (* x 1/2))))) x)
(log (+ (fabs x) (+ 1 (* x (* x 1/2)))))
(+ (fabs x) (+ 1 (* x (* x 1/2))))
(fabs x)
x
(+ 1 (* x (* x 1/2)))
1
(* x (* x 1/2))
(* x 1/2)
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
(copysign (- (log (+ (* x (- 0 x)) (+ 1 (* x x)))) (log (- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)
(- (log (+ (* x (- 0 x)) (+ 1 (* x x)))) (log (- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(log (+ (* x (- 0 x)) (+ 1 (* x x))))
(+ (* x (- 0 x)) (+ 1 (* x x)))
(* x (- 0 x))
x
(- 0 x)
0
(+ 1 (* x x))
1
(* x x)
(log (- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(- (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
(sqrt (+ (* 1 1) (* x x)))

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

localize700.0ms (7.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))
✓	accuracy	100.0%	(.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	99.8%	(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%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	99.8%	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
✓	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

546.0ms	127×	5	exit
59.0ms	125×	0	invalid
4.0ms	4×	1	valid

Compiler

Compiled 327 to 39 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 501.0ms

ival-log: 222.0ms (44.3% of total)

backward-pass: 75.0ms (15% of total)

ival-mult: 59.0ms (11.8% of total)

ival-add: 40.0ms (8% of total)

compiled-spec: 40.0ms (8% of total)

ival-copysign: 26.0ms (5.2% of total)

ival-sub: 25.0ms (5% of total)

ival-fabs: 6.0ms (1.2% of total)

ival-sqrt: 5.0ms (1% of total)

const: 2.0ms (0.4% of total)

series367.0ms (4.2%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (copysign (log (+ (fabs x) (+ 1 (* x (* x 1/2))))) x)>
#<alt (log (+ (fabs x) (+ 1 (* x (* x 1/2)))))>
#<alt (+ (fabs x) (+ 1 (* x (* x 1/2))))>
#<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 (copysign (- (log (+ (* x (- 0 x)) (+ 1 (* x x)))) (log (- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)>
#<alt (- (log (+ (* x (- 0 x)) (+ 1 (* x x)))) (log (- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x)))))))>
#<alt (log (+ (* x (- 0 x)) (+ 1 (* x x))))>
#<alt (+ (* x (- 0 x)) (+ 1 (* x x)))>
#<alt (* x 1/2)>
#<alt (* x (* x 1/2))>
#<alt (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))>
#<alt (* (* x x) (+ -1/8 (* (* x x) 1/16)))>
#<alt (log (- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x))))))>
#<alt (- (fabs x) (sqrt (+ (* 1 1) (* x x))))>

Outputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (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 (copysign (- (log (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))) (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (- (log (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))) (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (- (log (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))) (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (- (log (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))) (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)>
#<alt (* -1 (log (- 1 (fabs x))))>
#<alt (- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x))))>
#<alt (- (* (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))))>
#<alt (- (* (pow x 2) (- (* (pow 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))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x))))>
#<alt (log (/ 1 x))>
#<alt (- (/ (fabs x) x) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (log (/ -1 x))>
#<alt (- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x))))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (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)))))>
#<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))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))>
#<alt (+ (* -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))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -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 (- (fabs x) 1)>
#<alt (- (+ (fabs x) (* -1/2 (pow x 2))) 1)>
#<alt (- (+ (fabs x) (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))) 1)>
#<alt (- (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2))) 1)>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2)))))>
#<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 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))>

Calls

66 calls:

Time	Variable		Point	Expression
161.0ms	x	@	0	(log (+ (* x (- 0 x)) (+ 1 (* x x))))
50.0ms	x	@	0	(log (+ 1 (fabs x)))
46.0ms	x	@	-inf	(log (+ 1 (fabs x)))
43.0ms	x	@	-inf	(log x)
20.0ms	x	@	inf	(log (+ 1 (fabs x)))

rewrite356.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3610×	`fma-lowering-fma.f32`
3610×	`fma-lowering-fma.f64`
2088×	`-lowering-.f32`
2088×	`-lowering-.f64`
1982×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	228
1	247	212
2	2608	202
0	8238	202

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 353

Calls

Call 1

Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
(copysign (log x) x)
(log x)
(copysign (log (+ (fabs x) (+ 1 (* x (* x 1/2))))) x)
(log (+ (fabs x) (+ 1 (* x (* x 1/2)))))
(+ (fabs x) (+ 1 (* x (* 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)
(copysign (- (log (+ (* x (- 0 x)) (+ 1 (* x x)))) (log (- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)
(- (log (+ (* x (- 0 x)) (+ 1 (* x x)))) (log (- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(log (+ (* x (- 0 x)) (+ 1 (* x x))))
(+ (* x (- 0 x)) (+ 1 (* x x)))
(* x 1/2)
(* x (* x 1/2))
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(log (- 0 (- (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(- (fabs x) (sqrt (+ (* 1 1) (* x x))))

Outputs
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))))
(+.f64 (log.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))
(-.f64 (log.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (fabs.f64 x))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(copysign.f64 (log.f64 x) x)
(log.f64 x)
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(copysign.f64 (log.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))))) x)
(log.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))))
(+.f64 (log.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 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 (.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fabs.f64 x)))))))
(+.f64 (log.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fabs.f64 x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))))
(-.f64 (log.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x)))) (log.f64 (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fabs.f64 x))))))
(-.f64 (log.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x)))) (log.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
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(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (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)))))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (neg.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (neg.f64 (-.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 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 (neg.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 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (log.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (+.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))) (.f64 #s(literal 0 binary64) (+.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (+.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))))
(-.f64 (log.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (hypot.f64 #s(literal 1 binary64) x))))
(neg.f64 (log.f64 (/.f64 (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(+.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(+.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(+.f64 (+.f64 #s(literal 0 binary64) (fabs.f64 x)) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.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 (.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 (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 #s(literal 0 binary64) (fabs.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (.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))))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 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 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 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 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 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 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 x (.f64 x x)) (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (-.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(pow.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 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.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)))) #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 #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))))

simplify265.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4056×	`-lowering-.f32`
4056×	`-lowering-.f64`
3796×	`+-lowering-+.f64`
3796×	`+-lowering-+.f32`
1870×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	2848
1	1083	2576
2	3746	2524
0	8164	2524

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(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))
(copysign (- (log (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))) (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (- (log (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))) (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (- (log (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))) (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (- (log (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))) (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(* -1 (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) (- (* -1/720 (* (pow x 2) (+ (* 45 (/ 1 (- 1 (fabs x)))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 30 (/ 1 (pow (- 1 (fabs x)) 3))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x))))
(log (/ 1 x))
(- (/ (fabs x) x) (* -1 (log (/ 1 x))))
(- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
(log (/ -1 x))
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
(* 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 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(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))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+ (* -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))) (/ (fabs x) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -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)))
(- (fabs x) 1)
(- (+ (fabs x) (* -1/2 (pow x 2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2))) 1)
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))

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

eval128.0ms (1.5%)

Compiler: Compiled 28640 to 2164 computations (92.4% saved)

prune81.0ms (0.9%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	670	7	677
Fresh	10	12	22
Picked	3	2	5
Done	0	1	1
Total	683	22	705

Accuracy

99.7%

Counts

705 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.1%	(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
	5.9%	(copysign.f64 (-.f64 (log.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))))) (log.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) x)
	13.8%	(copysign.f64 (-.f64 (log.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)))))) (log.f64 (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))))))) x)
	7.5%	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))) x)
	10.5%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
	3.5%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
▶	51.1%	(copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))) x)
▶	48.5%	(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))) x)
✓	61.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	5.9%	(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))) x)
	3.5%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
	14.9%	(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)
	14.9%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
	15.2%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
▶	9.6%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
▶	4.4%	(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x 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)
	5.0%	(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
✓	58.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	29.2%	(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)
	29.7%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
	28.5%	(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)
✓	10.0%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 1045 to 508 computations (51.4% saved)

simplify224.0ms (2.5%)

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 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))
✓	cost-diff	0	(log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))) x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (fabs.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x)
✓	cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
✓	cost-diff	0	(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
✓	cost-diff	1152	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))
✓	cost-diff	1152	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x 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)))))))
✓	cost-diff	1152	(log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x 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))))))))
✓	cost-diff	1152	(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x 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)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(log.f64 (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	0	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))
✓	cost-diff	0	(log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))) x)

Rules

2064×	`fma-lowering-fma.f32`
2064×	`fma-lowering-fma.f64`
2002×	`-lowering-.f32`
2002×	`-lowering-.f64`
1684×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	574
1	155	501
2	430	494
3	1176	471
4	3216	464
5	6730	464
0	8077	464

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x)
(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))
(+ (* x (* x 1/2)) (fabs x))
(* x (* x 1/2))
x
(* x 1/2)
1/2
(fabs x)
(copysign (log (- 0 x)) x)
(log (- 0 x))
(- 0 x)
0
x
(copysign (log (+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))) x)
(log (+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))
(+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
(/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))
(+ 1 (* x (* x x)))
1
(* x (* x x))
x
(* x x)
(+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))
(/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))
(- (* (* x x) (* x (* x (* x x)))) (* x (* x x)))
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))
(+ (* x x) (* x (* x x)))
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))
(+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))
1/2
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(+ -1/8 (* (* x x) 1/16))
-1/8
(* (* x x) 1/16)
1/16
(copysign (- (/ (- 0 (fabs x)) x) (log (/ -1 x))) x)
(- (/ (- 0 (fabs x)) x) (log (/ -1 x)))
(/ (- 0 (fabs x)) x)
(- 0 (fabs x))
0
(fabs x)
x
(log (/ -1 x))
(/ -1 x)
-1
(copysign (log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))))) x)
(log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))))
(+ (fabs x) (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))
(fabs x)
x
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
(* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))
1/2
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(* x x)
(+ -1/8 (* x (* x 1/16)))
-1/8
(* x (* x 1/16))
(* x 1/16)
1/16

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

localize335.0ms (3.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64)))))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))
✓	accuracy	76.9%	(log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))
✓	accuracy	100.0%	(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1 binary64) x))
✓	accuracy	85.1%	(+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))
✓	accuracy	81.4%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))
✓	accuracy	63.2%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
✓	accuracy	56.9%	(log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x 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))))))))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(log.f64 (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	86.4%	(log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))

Results

81.0ms	34×	2	valid
65.0ms	131×	0	invalid
36.0ms	70×	0	valid
29.0ms	21×	1	valid

Compiler

Compiled 691 to 52 computations (92.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-log: 42.0ms (24.1% of total)

ival-mult: 33.0ms (18.9% of total)

compiled-spec: 29.0ms (16.6% of total)

ival-add: 21.0ms (12% of total)

ival-copysign: 15.0ms (8.6% of total)

ival-div: 12.0ms (6.9% of total)

backward-pass: 11.0ms (6.3% of total)

ival-sub: 8.0ms (4.6% of total)

const: 2.0ms (1.1% of total)

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

series43.0ms (0.5%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x)>
#<alt (log (+ 1 (+ (* x (* x 1/2)) (fabs x))))>
#<alt (+ (* x (* x 1/2)) (fabs x))>
#<alt (* x (* x 1/2))>
#<alt (copysign (log (- 0 x)) x)>
#<alt (log (- 0 x))>
#<alt (- 0 x)>
#<alt (copysign (log (+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))) x)>
#<alt (log (+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))>
#<alt (+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))>
#<alt (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))>
#<alt (copysign (- (/ (- 0 (fabs x)) x) (log (/ -1 x))) x)>
#<alt (- (/ (- 0 (fabs x)) x) (log (/ -1 x)))>
#<alt (/ (- 0 (fabs x)) x)>
#<alt (- 0 (fabs x))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))))) x)>
#<alt (log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))))>
#<alt (+ (fabs x) (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))>
#<alt (fabs x)>
#<alt (* x 1/2)>
#<alt (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))>
#<alt (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))>
#<alt (log (/ -1 x))>
#<alt (* (* x x) (+ -1/8 (* x (* x 1/16))))>
#<alt (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))>
#<alt (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))>

Outputs
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log 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 (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (copysign (log (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))))))) (+ (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* 1/8 (pow x 4))))) x)>
#<alt (copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))))))) (+ (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* 1/8 (pow x 4))))) x)>
#<alt (copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))))))) (+ (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* 1/8 (pow x 4))))) x)>
#<alt (copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))))))) (+ (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* 1/8 (pow x 4))))) 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 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (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 (* 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>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)>
#<alt (* -1 (/ (fabs x) x))>
#<alt (/ (+ (* -1 (fabs x)) (* -1 (* x (+ (log -1) (* -1 (log x)))))) x)>
#<alt (/ (+ (* -1 (fabs x)) (* -1 (* x (+ (log -1) (* -1 (log x)))))) x)>
#<alt (/ (+ (* -1 (fabs x)) (* -1 (* x (+ (log -1) (* -1 (log x)))))) x)>
#<alt (* -1 (+ (log -1) (log (/ 1 x))))>
#<alt (- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))>
#<alt (- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))>
#<alt (- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (/ (fabs x) x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (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 (* 1/2 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 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 (* x (+ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* x (+ 1 x))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (+ (log -1) (* -1 (log x)))>
#<alt (+ (log -1) (* -1 (log x)))>
#<alt (+ (log -1) (* -1 (log x)))>
#<alt (+ (log -1) (* -1 (log x)))>
#<alt (+ (log -1) (log (/ 1 x)))>
#<alt (+ (log -1) (log (/ 1 x)))>
#<alt (+ (log -1) (log (/ 1 x)))>
#<alt (+ (log -1) (log (/ 1 x)))>
#<alt (log (/ -1 x))>
#<alt (log (/ -1 x))>
#<alt (log (/ -1 x))>
#<alt (log (/ -1 x))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))>

Calls

78 calls:

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

rewrite357.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

2868×	`-lowering-.f32`
2868×	`-lowering-.f64`
1506×	`fma-lowering-fma.f32`
1506×	`fma-lowering-fma.f64`
1468×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	401
1	395	352
2	3713	340
0	8764	340

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 431

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x)
(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))
(+ (* x (* x 1/2)) (fabs x))
(* x (* x 1/2))
(copysign (log (- 0 x)) x)
(log (- 0 x))
(- 0 x)
(copysign (log (+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))) x)
(log (+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))
(+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
(/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))
(copysign (- (/ (- 0 (fabs x)) x) (log (/ -1 x))) x)
(- (/ (- 0 (fabs x)) x) (log (/ -1 x)))
(/ (- 0 (fabs x)) x)
(- 0 (fabs x))
(copysign (log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))))) x)
(log (+ 1 (+ (fabs x) (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))))
(+ (fabs x) (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))
(fabs x)
(* x 1/2)
(/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))
(+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))
(log (/ -1 x))
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
(* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))

Outputs
(copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(+.f64 (log1p.f64 (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(-.f64 (log1p.f64 (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))))) (log1p.f64 (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))))) (log.f64 (+.f64 (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))))) (log.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (log.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))))
(-.f64 (log.f64 (-.f64 (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (log.f64 (-.f64 (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 x x))) (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(log1p.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (-.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (-.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (-.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (+.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(log.f64 (-.f64 #s(literal 0 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (log.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
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(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 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 x (.f64 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 x (.f64 x #s(literal 1/16 binary64))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 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 x (.f64 x #s(literal 1/16 binary64)))))))) x)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64))))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64)))))))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64))))))) x)

simplify355.0ms (4%)

Algorithm

1×	egg-herbie

Rules

3694×	`+-lowering-+.f64`
3694×	`+-lowering-+.f32`
2726×	`-lowering-.f32`
2726×	`-lowering-.f64`
1588×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	299	3939
1	894	3730
2	3093	3693
3	7139	3678
0	8315	3678

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log 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))))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(copysign (log (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))))))) (+ (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* 1/8 (pow x 4))))) x)
(copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))))))) (+ (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* 1/8 (pow x 4))))) x)
(copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))))))) (+ (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* 1/8 (pow x 4))))) x)
(copysign (log (- (+ (* 1/16 (pow x 6)) (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))))))) (+ (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* 1/8 (pow x 4))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (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))) (+ (* 16 (/ 1 (pow x 5))) (/ 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))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (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 5)))) (* 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 5)))) (* 1/8 (/ 1 (pow x 2)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(copysign (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) x)
(* -1 (/ (fabs x) x))
(/ (+ (* -1 (fabs x)) (* -1 (* x (+ (log -1) (* -1 (log x)))))) x)
(/ (+ (* -1 (fabs x)) (* -1 (* x (+ (log -1) (* -1 (log x)))))) x)
(/ (+ (* -1 (fabs x)) (* -1 (* x (+ (log -1) (* -1 (log x)))))) x)
(* -1 (+ (log -1) (log (/ 1 x))))
(- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))
(- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))
(- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (/ (fabs x) x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* 1/2 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 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 x)))
(* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 x)))
(* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+ (log -1) (* -1 (log x)))
(+ (log -1) (* -1 (log x)))
(+ (log -1) (* -1 (log x)))
(+ (log -1) (* -1 (log x)))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (log (/ 1 x)))
(log (/ -1 x))
(log (/ -1 x))
(log (/ -1 x))
(log (/ -1 x))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 5))
(* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))

Outputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) 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 #s(literal 1 binary64) (fabs.f64 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (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 (.f64 x #s(literal -1/8 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.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 x (.f64 x #s(literal 1/24 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x x)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x x)))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x x))))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fabs.f64 x) x) x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fabs.f64 x) x) x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fabs.f64 x) x) x))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fabs.f64 x) x) x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fabs.f64 x) x) x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fabs.f64 x) x) x))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
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(* (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 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ (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 #s(literal -1/8 binary64) (*.f64 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- 1 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* (pow x 4) (+ 1 (/ 1 x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* (pow x 4) (+ 1 (/ 1 x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+ (log -1) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(log (/ -1 x))
(log.f64 (/.f64 #s(literal -1 binary64) x))
(log (/ -1 x))
(log.f64 (/.f64 #s(literal -1 binary64) x))
(log (/ -1 x))
(log.f64 (/.f64 #s(literal -1 binary64) x))
(log (/ -1 x))
(log.f64 (/.f64 #s(literal -1 binary64) x))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(* 1/16 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.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 (.f64 (.f64 x x) (.f64 x x)) (-.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 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* 1/16 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.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 (.f64 (.f64 x x) (.f64 x x)) (-.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 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.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))))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.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))))))))
(* 1/16 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 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 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.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 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* 1/16 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 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 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.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 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/8 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.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 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.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)))))))
(* 1/16 (pow x 5))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* 1/16 (pow x 5))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))

eval141.0ms (1.6%)

Compiler: Compiled 31425 to 2597 computations (91.7% saved)

prune91.0ms (1%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	792	7	799
Fresh	4	10	14
Picked	4	1	5
Done	0	3	3
Total	800	21	821

Accuracy

99.7%

Counts

821 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.1%	(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
	5.9%	(copysign.f64 (-.f64 (log.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))))) (log.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) x)
	7.5%	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))) x)
	10.5%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
	47.7%	(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)
	47.7%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64)))))))))) x)
	47.6%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
▶	48.5%	(copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) x)) x)
✓	61.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	5.9%	(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))) x)
	14.9%	(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)
	14.9%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
▶	15.2%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
✓	58.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	12.5%	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
	29.2%	(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)
	29.7%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
▶	28.5%	(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)
▶	9.6%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	10.0%	(copysign.f64 (log.f64 x) x)
▶	47.9%	(copysign.f64 x x)

Compiler

Compiled 609 to 370 computations (39.2% saved)

simplify190.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.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)))))))
✓	cost-diff	512	(.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))))))))
✓	cost-diff	512	(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)))))))))
✓	cost-diff	512	(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)
✓	cost-diff	256	(/.f64 (*.f64 x (fabs.f64 x)) x)
✓	cost-diff	256	(-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)
✓	cost-diff	256	(log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x))
✓	cost-diff	256	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	-64	(log.f64 (neg.f64 x))
✓	cost-diff	-64	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	cost-diff	0	(copysign.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) x)
✓	cost-diff	0	(log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) x))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) x)) x)

Rules

2266×	`sum3-define`
1942×	`-lowering-.f32`
1942×	`-lowering-.f64`
1818×	`fnmadd-define`
1462×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	359
1	99	316
2	263	292
3	966	289
4	2543	277
5	4433	277
6	6744	277
0	8071	277

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize319.0ms (3.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.9%	(.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))))))))
✓	accuracy	85.9%	(+.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))))))
✓	accuracy	83.7%	(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)))))))))
✓	accuracy	100.0%	(*.f64 x (fabs.f64 x))
✓	accuracy	100.0%	(log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	87.5%	(/.f64 (*.f64 x (fabs.f64 x)) x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(log.f64 (neg.f64 x))
✓	accuracy	100.0%	(copysign.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/16 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64))))))))
✓	accuracy	100.0%	(log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) x))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))

Results

96.0ms	132×	0	invalid
52.0ms	32×	2	invalid
52.0ms	55×	1	valid
35.0ms	35×	1	invalid
1.0ms	2×	0	valid

Compiler

Compiled 374 to 39 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-mult: 54.0ms (33.5% of total)

ival-log: 20.0ms (12.4% of total)

backward-pass: 19.0ms (11.8% of total)

ival-copysign: 19.0ms (11.8% of total)

compiled-spec: 16.0ms (9.9% of total)

ival-add: 15.0ms (9.3% of total)

ival-div: 12.0ms (7.5% of total)

ival-fabs: 2.0ms (1.2% of total)

ival-sub: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

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

series13.0ms (0.1%)

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (- (+ 1 (+ x (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ x (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ x (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ x (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2)))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)>
#<alt (copysign (log (- (+ 1 (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2)))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)>
#<alt (copysign (log (- (+ 1 (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2)))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)>
#<alt (copysign (log (- (+ 1 (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2)))) (+ (* -1 x) (* 1/8 (pow x 4))))) 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 (* 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 (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log 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 (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (* -1 (/ 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 (+ (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 (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (* x (fabs x))) 4))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* x (+ (* -16 x) (* -8 (fabs x)))) 4))))>
#<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 (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* x (fabs x)))) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* x (+ x (fabs x))))) 1/8) (pow x 3))>
#<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 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 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* x (fabs x)))) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* x (+ x (fabs x))))) 1/8) (pow x 4))>
#<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))) (* 1/8 (/ 1 (pow x 4))))>
#<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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 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 (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* x (fabs x)))) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* x (fabs x)))) 1/8) (pow x 4))>
#<alt (/ (fabs x) x)>
#<alt (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ (fabs x) (* 1/2 (/ 1 x))) (/ 1/8 (pow x 3))) x)>
#<alt (/ (- (+ (fabs x) (* 1/2 (/ 1 x))) (/ 1/8 (pow x 3))) x)>
#<alt (/ (fabs x) x)>
#<alt (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x (fabs x))
1.0ms	x	@	-inf	(copysign (log (+ 1 (+ (* x (* x (+ 1/2 (* x (* x (+ -1/8 (* x (* x 1/16)))))))) x))) x)
0.0ms	x	@	0	(log (* x (+ 1 (+ (/ 1/2 (* x x)) (+ (/ (fabs x) x) (/ -1/8 (* x (* x (* x x)))))))))
0.0ms	x	@	-inf	(log (* x (+ 1 (+ (/ 1/2 (* x x)) (+ (/ (fabs x) x) (/ -1/8 (* x (* x (* x x)))))))))
0.0ms	x	@	inf	(log (- (/ (* x (fabs x)) x) x))

rewrite392.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2796×	`-lowering-.f32`
2796×	`-lowering-.f64`
2764×	`fma-lowering-fma.f32`
2764×	`fma-lowering-fma.f64`
2090×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	259
1	229	227
2	2653	223
0	8876	223

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 347

Calls

Call 1

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

Outputs
(copysign.f64 (log1p.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)))
(+.f64 (log1p.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (-.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) x) #s(literal 1 binary64)))))))
(+.f64 (log1p.f64 (.f64 (neg.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (-.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) x))))))
(-.f64 (log1p.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)))) (log1p.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (-.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)))) (log.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) x)))))
(-.f64 (log1p.f64 (.f64 (neg.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x)))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x)))) #s(literal 1 binary64)) x) (-.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) x) #s(literal 1 binary64)))))))
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(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (fabs.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (-.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (fabs.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x)) (.f64 (-.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/2 binary64))) (.f64 (-.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (fabs.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 (-.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/2 binary64))) (.f64 (-.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (fabs.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) x) (.f64 (-.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (-.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (fabs.f64 x) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (fabs.f64 x) x)) #s(literal 3 binary64)) (/.f64 #s(literal -1/512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (fabs.f64 x) x)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (fabs.f64 x) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2 binary64)))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 (fabs.f64 x) x)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (fabs.f64 x) x)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.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)))))))
(.f64 (+.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)))))) #s(literal 1 binary64))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))))
(.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 (fabs.f64 x) x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify301.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4410×	`-lowering-.f32`
4410×	`-lowering-.f64`
3672×	`+-lowering-+.f64`
3672×	`+-lowering-+.f32`
1404×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	2480
1	974	2334
2	3030	2267
0	8261	2267

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (- (+ 1 (+ x (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ x (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ x (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ x (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2)))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)
(copysign (log (- (+ 1 (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2)))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)
(copysign (log (- (+ 1 (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2)))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)
(copysign (log (- (+ 1 (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2)))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (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))) (+ (* 16 (/ 1 (pow x 5))) (/ 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))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))
(* x (+ 1 (* x (+ 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 5)))) (* 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 5)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log 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))))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (* -1 (/ 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)))))
(+ (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 (/ (pow (fabs x) 2) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))
(fabs x)
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs 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)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(copysign (log (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))) x)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (* x (fabs x))) 4))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* x (+ (* -16 x) (* -8 (fabs x)))) 4))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+ (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 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))
(+ (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))))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* x (fabs x)))) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* x (+ x (fabs x))))) 1/8) (pow x 3))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))
(/ -1/8 (pow x 4))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 4))
(/ (- (* (pow x 2) (+ 1/2 (* x (fabs x)))) 1/8) (pow x 4))
(/ (- (* (pow x 2) (+ 1/2 (* x (+ x (fabs x))))) 1/8) (pow x 4))
1
(+ 1 (/ (fabs x) x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))
1
(+ 1 (/ (fabs x) x))
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 5))
(* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 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)
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(/ -1/8 (pow x 4))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 4))
(/ (- (* (pow x 2) (+ 1/2 (* x (fabs x)))) 1/8) (pow x 4))
(/ (- (* (pow x 2) (+ 1/2 (* x (fabs x)))) 1/8) (pow x 4))
(/ (fabs x) x)
(/ (+ (fabs x) (* 1/2 (/ 1 x))) x)
(/ (- (+ (fabs x) (* 1/2 (/ 1 x))) (/ 1/8 (pow x 3))) x)
(/ (- (+ (fabs x) (* 1/2 (/ 1 x))) (/ 1/8 (pow x 3))) x)
(/ (fabs x) x)
(* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))
(* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))

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

eval94.0ms (1.1%)

Compiler: Compiled 18600 to 2156 computations (88.4% saved)

prune122.0ms (1.4%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	618	10	628
Fresh	7	5	12
Picked	3	2	5
Done	1	3	4
Total	629	20	649

Accuracy

99.7%

Counts

649 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.1%	(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
	5.9%	(copysign.f64 (-.f64 (log.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))))) (log.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) x)
	7.5%	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))) x)
	19.0%	(copysign.f64 (+.f64 (+.f64 (.f64 x (.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 x (.f64 x (*.f64 x (fabs.f64 x)))))) #s(literal -1/2 binary64)) (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x)))) x)
	47.7%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) x))) x)
	47.7%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) x)
	47.6%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
	45.8%	(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))) x)) x)
✓	61.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	53.1%	(copysign.f64 (log1p.f64 x) x)
	5.9%	(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))) x)
	27.9%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
	14.9%	(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)
	14.9%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
	28.6%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	58.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	28.8%	(copysign.f64 (log.f64 (.f64 x (+.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)))) x)
	29.2%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)))) x)
✓	9.6%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	47.9%	(copysign.f64 x x)

Compiler

Compiled 1462 to 523 computations (64.2% saved)

regimes49.0ms (0.6%)

Counts

53 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
16.0ms	x

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.6%	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)

regimes28.0ms (0.3%)

Counts

37 → 3

Calls

Call 1

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

Outputs

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

(copysign.f64 (log.f64 (*.f64 x (+.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)))) x)

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes21.0ms (0.2%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
80.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
81.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
61.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
55.4%	2	`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 x (*.f64 x #s(literal -1/6 binary64))))) 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 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 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) (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x #s(literal -5/112 binary64)))))))))) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
55.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -0.6b remaining (-1.9%)

Threshold costs -0.6b (-1.9%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(copysign.f64 x x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
47.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010828621524629224	3.31926535845662
0.0ms	-0.21178101832157445	-0.0012206285148484864

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch51.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	0.010828833151504735	13.80192908865042
15.0ms	-1389.2975275119354	-0.21336767778242996

Results

38.0ms

256×

valid

Compiler

Compiled 673 to 460 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 21.0ms (65.5% of total)

ival-log: 3.0ms (9.4% of total)

ival-copysign: 2.0ms (6.2% of total)

ival-fabs: 2.0ms (6.2% of total)

ival-mult: 2.0ms (6.2% of total)

ival-sqrt: 2.0ms (6.2% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.010828833151504735	13.80192908865042
29.0ms	-1389.2975275119354	-0.21336767778242996

Results

34.0ms

256×

valid

Compiler

Compiled 625 to 428 computations (31.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 3.0ms (21.6% of total)

ival-log: 3.0ms (21.6% of total)

ival-copysign: 2.0ms (14.4% of total)

ival-fabs: 2.0ms (14.4% of total)

ival-mult: 2.0ms (14.4% of total)

ival-sqrt: 2.0ms (14.4% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.010828833151504735	13.80192908865042
16.0ms	-1389.2975275119354	-0.21336767778242996

Results

21.0ms

256×

valid

Compiler

Compiled 601 to 412 computations (31.4% saved)

Precisions

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

ival-copysign: 3.0ms (20.1% of total)

ival-add: 3.0ms (20.1% of total)

ival-log: 3.0ms (20.1% of total)

ival-fabs: 2.0ms (13.4% of total)

ival-mult: 2.0ms (13.4% of total)

ival-sqrt: 2.0ms (13.4% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.010828833151504735	13.80192908865042

Results

10.0ms

128×

valid

Compiler

Compiled 185 to 132 computations (28.6% saved)

Precisions

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

ival-copysign: 1.0ms (14.4% of total)

ival-add: 1.0ms (14.4% of total)

ival-log: 1.0ms (14.4% of total)

ival-fabs: 1.0ms (14.4% of total)

ival-mult: 1.0ms (14.4% of total)

ival-sqrt: 1.0ms (14.4% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.010828833151504735	13.80192908865042
16.0ms	-1389.2975275119354	-0.21336767778242996

Results

22.0ms

256×

valid

Compiler

Compiled 585 to 404 computations (30.9% saved)

Precisions

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

ival-add: 3.0ms (19.5% of total)

ival-log: 3.0ms (19.5% of total)

ival-fabs: 3.0ms (19.5% of total)

ival-copysign: 2.0ms (13% of total)

ival-mult: 2.0ms (13% of total)

ival-sqrt: 2.0ms (13% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-1389.2975275119354	-0.21336767778242996

Results

26.0ms

128×

valid

Compiler

Compiled 121 to 84 computations (30.6% saved)

Precisions

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

ival-copysign: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

ival-log: 1.0ms (14.2% of total)

ival-fabs: 1.0ms (14.2% of total)

ival-mult: 1.0ms (14.2% of total)

ival-sqrt: 1.0ms (14.2% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.010828833151504735	13.80192908865042

Results

10.0ms

128×

valid

Compiler

Compiled 265 to 180 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-copysign: 1.0ms (15.4% of total)

ival-add: 1.0ms (15.4% of total)

ival-log: 1.0ms (15.4% of total)

ival-fabs: 1.0ms (15.4% of total)

ival-mult: 1.0ms (15.4% of total)

ival-sqrt: 1.0ms (15.4% 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	0.010828833151504735	13.80192908865042

Results

13.0ms

128×

valid

Compiler

Compiled 265 to 180 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 5.0ms (49.6% of total)

ival-copysign: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

ival-fabs: 1.0ms (9.9% of total)

ival-mult: 1.0ms (9.9% of total)

ival-sqrt: 1.0ms (9.9% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
18×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	372
1	122	372
2	125	372
3	126	372

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 -3602879701896397/18014398509481984 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 5764607523034235/288230376151711744 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.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)))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.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 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x))
(if (<=.f64 x #s(literal -2 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal -1/2 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 2 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64)))))))))) 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 -3602879701896397/18014398509481984 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 5764607523034235/288230376151711744 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.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)))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.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 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x))
(if (<=.f64 x #s(literal -2 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal -2 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal -1/2 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal -1/2 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 2 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64)))))))))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

soundness1.8s (20.2%)

Rules

4410×	`-lowering-.f32`
4410×	`-lowering-.f64`
3786×	`-lowering-.f32`
3786×	`-lowering-.f64`
3694×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	9
2	15	9
3	16	9
0	16	9
0	299	3939
1	894	3730
2	3093	3693
3	7139	3678
0	8315	3678
0	40	228
1	247	212
2	2608	202
0	8238	202
0	147	576
1	447	501
2	1531	489
3	5703	487
0	8709	487
0	53	401
1	395	352
2	3713	340
0	8764	340
0	334	2480
1	974	2334
2	3030	2267
0	8261	2267

Stop Event

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

Compiler

Compiled 1050 to 534 computations (49.1% saved)

preprocess105.0ms (1.2%)

Compiler: Compiled 834 to 226 computations (72.9% saved)

analyze0.0ms (0%)

sample486.0ms (5.5%)

preprocess12.0ms (0.1%)

explain204.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize137.0ms (1.6%)

series4.0ms (0%)

rewrite271.0ms (3.1%)

simplify228.0ms (2.6%)

eval20.0ms (0.2%)

prune55.0ms (0.6%)

simplify209.0ms (2.4%)

localize700.0ms (7.9%)

series367.0ms (4.2%)

rewrite356.0ms (4%)

simplify265.0ms (3%)

eval128.0ms (1.5%)

prune81.0ms (0.9%)

simplify224.0ms (2.5%)

localize335.0ms (3.8%)

series43.0ms (0.5%)

rewrite357.0ms (4%)

simplify355.0ms (4%)

eval141.0ms (1.6%)

prune91.0ms (1%)

simplify190.0ms (2.2%)

localize319.0ms (3.6%)

series13.0ms (0.1%)

rewrite392.0ms (4.5%)

simplify301.0ms (3.4%)

eval94.0ms (1.1%)

prune122.0ms (1.4%)

regimes49.0ms (0.6%)

regimes28.0ms (0.3%)

regimes12.0ms (0.1%)

regimes21.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch51.0ms (0.6%)

bsearch47.0ms (0.5%)

bsearch35.0ms (0.4%)

bsearch21.0ms (0.2%)

bsearch34.0ms (0.4%)

bsearch32.0ms (0.4%)

bsearch16.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify13.0ms (0.2%)

soundness1.8s (20.2%)

preprocess105.0ms (1.2%)

end0.0ms (0%)

Profiling