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)

sample524.0ms (5.8%)

Results

375.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-asinh: 95.0ms (90.9% of total)

const: 7.0ms (6.7% of total)

backward-pass: 3.0ms (2.9% of total)

Bogosity

preprocess16.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain220.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	1	(-0.015598077727842581)	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
66	-	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

65.0ms	112×	2	valid
50.0ms	128×	1	valid
37.0ms	272×	0	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-log: 33.0ms (36.7% of total)

backward-pass: 11.0ms (12.2% of total)

ival-copysign: 11.0ms (12.2% of total)

ival-add: 9.0ms (10% of total)

ival-mult: 9.0ms (10% of total)

ival-fabs: 8.0ms (8.9% of total)

ival-sqrt: 7.0ms (7.8% of total)

const: 1.0ms (1.1% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(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	16	29
2	17	29
0	17	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)

localize146.0ms (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%	(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	99.8%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))

Results

114.0ms	120×	5	exit
17.0ms	136×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

backward-pass: 18.0ms (23.9% of total)

ival-log: 17.0ms (22.5% of total)

compiled-spec: 14.0ms (18.6% of total)

ival-fabs: 7.0ms (9.3% of total)

ival-mult: 6.0ms (8% of total)

ival-copysign: 5.0ms (6.6% of total)

ival-add: 5.0ms (6.6% of total)

ival-sqrt: 3.0ms (4% of total)

const: 1.0ms (1.3% of total)

series5.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite263.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1990×	`-lowering-.f32`
1990×	`-lowering-.f64`
1844×	`sum5-define`
1464×	`log-lowering-log.f64`
1464×	`log-lowering-log.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	46	24
2	355	24
3	4020	24
0	8155	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 112

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 x x) (+.f64 #s(literal 1 binary64) (-.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 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.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 #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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))))
(+.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x 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 (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))))) (log.f64 (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.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 (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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) 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 (.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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x 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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))
(.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))))
(.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))))
(.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (*.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x 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 x x) (+.f64 #s(literal 1 binary64) (-.f64 (.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))

simplify253.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	576
1	447	477
2	1534	465
3	5731	465
0	8739	465

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 (.f64 x 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 x (.f64 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 (.f64 x 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 (log.f64 x) (+.f64 (/.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 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (.f64 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 #s(literal 0 binary64) (/.f64 (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 (.f64 x 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 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))) x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) x)) 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 (.f64 x 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 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.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 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.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 x (/.f64 (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 #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)))
(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)

eval49.0ms (0.5%)

Compiler: Compiled 5142 to 632 computations (87.7% saved)

prune57.0ms (0.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	142	18	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	19	161

Accuracy

100.0%

Counts

161 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.4%	(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)
	5.6%	(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)
	50.6%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
	50.1%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
	10.1%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
▶	63.1%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	12.7%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
	28.1%	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
	9.1%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
	7.5%	(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)
	4.4%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
✓	56.3%	(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 (.f64 x x) #s(literal 1/2 binary64))))) x)
	20.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	27.5%	(copysign.f64 (log.f64 (.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)))) x)
▶	27.9%	(copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))) x)
▶	28.4%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
▶	27.9%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
▶	9.6%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 660 to 399 computations (39.5% saved)

simplify323.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	640	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	640	(log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	640	(copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓	cost-diff	384	(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	cost-diff	384	(log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	cost-diff	384	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
✓	cost-diff	256	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
✓	cost-diff	256	(log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))))
✓	cost-diff	256	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(copysign.f64 (log.f64 x) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(log1p.f64 (fabs.f64 x))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)

Rules

4694×	`-lowering-.f32`
4694×	`-lowering-.f64`
3490×	`fma-define`
2596×	`fma-lowering-fma.f32`
2596×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	271
1	69	254
2	168	247
3	496	220
4	1375	208
5	2047	208
6	3218	208
7	4083	208
8	4569	208
9	5202	208
10	6009	208
11	6797	208
12	7796	208
13	7919	208
14	7960	208
15	7972	208
0	8311	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize213.0ms (2.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
✓	accuracy	100.0%	(log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 x) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)

Results

95.0ms	190×	0	invalid
67.0ms	66×	0	valid

Compiler

Compiled 306 to 29 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-log: 14.0ms (24.9% of total)

ival-copysign: 10.0ms (17.8% of total)

ival-mult: 10.0ms (17.8% of total)

ival-div: 7.0ms (12.4% of total)

ival-add: 6.0ms (10.7% of total)

compiled-spec: 6.0ms (10.7% of total)

ival-fabs: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

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

series159.0ms (1.8%)

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

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

Calls

66 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(log x)
31.0ms	x	@	-inf	(log x)
30.0ms	x	@	0	(log (+ 1 (fabs x)))
22.0ms	x	@	inf	(log (+ 1 (fabs x)))
16.0ms	x	@	-inf	(log (+ 1 (fabs x)))

rewrite124.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`-lowering-.f32`
1082×	`-lowering-.f64`
946×	`/-lowering-/.f32`
946×	`/-lowering-/.f64`
528×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	207
1	159	187
0	1945	187

Stop Event

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

Counts

22 → 206

Calls

Call 1

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

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

simplify272.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4128×	`-lowering-.f32`
4128×	`-lowering-.f64`
1712×	`+-lowering-+.f64`
1712×	`+-lowering-+.f32`
1612×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	2295
1	738	2073
2	2340	1966
3	7594	1966
0	8211	1966

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 (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(copysign (log (* x (+ 1 (/ (fabs x) x)))) x)
(log (fabs x))
(+ (log (fabs x)) (/ x (fabs x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(fabs x)
(+ x (fabs x))
(+ x (fabs x))
(+ x (fabs x))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(/ (fabs x) x)
(/ (+ x (fabs x)) x)
(/ (+ x (fabs x)) x)
(/ (+ x (fabs x)) x)
1
(+ 1 (/ (fabs x) x))
(+ 1 (/ (fabs x) x))
(+ 1 (/ (fabs x) x))
1
(+ 1 (/ (fabs x) x))
(+ 1 (/ (fabs x) x))
(+ 1 (/ (fabs x) x))
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(* -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))))
(/ 1/2 x)
(/ (+ 1/2 (* x (fabs x))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* x (fabs x))) (pow x 2))
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))
1
(+ 1 (/ (fabs x) x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))
1
(+ 1 (/ (fabs x) x))
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) 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 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

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

eval91.0ms (1%)

Compiler: Compiled 15746 to 1663 computations (89.4% saved)

prune55.0ms (0.6%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	627	4	631
Fresh	1	12	13
Picked	3	2	5
Done	0	1	1
Total	631	19	650

Accuracy

100.0%

Counts

650 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.4%	(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)
▶	5.6%	(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)
▶	50.6%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
	50.1%	(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)
✓	63.1%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	16.3%	(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 x (fabs.f64 x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
	26.5%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
	17.1%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)) x)
	27.2%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
	12.7%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
▶	28.1%	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
▶	9.1%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
	7.5%	(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)
▶	4.4%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
✓	56.3%	(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 (.f64 x x) #s(literal 1/2 binary64))))) x)
	20.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	27.5%	(copysign.f64 (log.f64 (.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)))) x)
✓	9.6%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 625 to 382 computations (38.9% saved)

simplify211.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	640	(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	640	(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)))))
✓	cost-diff	640	(-.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))))))
✓	cost-diff	640	(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)
✓	cost-diff	0	(+.f64 (fabs.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(+.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))))))
✓	cost-diff	128	(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)))))))
✓	cost-diff	128	(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)
✓	cost-diff	256	(*.f64 x (/.f64 (fabs.f64 x) x))
✓	cost-diff	256	(-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)
✓	cost-diff	256	(log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x))
✓	cost-diff	256	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) 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	(fabs.f64 x)
✓	cost-diff	0	(log1p.f64 (fabs.f64 x))
✓	cost-diff	0	(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
✓	cost-diff	0	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)

Rules

2280×	`fma-lowering-fma.f32`
2280×	`fma-lowering-fma.f64`
1986×	`sum3-define`
1932×	`sum4-define`
1840×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	92	267
2	183	233
3	446	217
4	745	214
5	1052	214
6	2757	214
7	5553	214
0	8643	214

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize599.0ms (6.6%)

Localize:

Found 19 expressions of interest:

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

Results

383.0ms	52×	5	exit
127.0ms	203×	0	invalid
1.0ms	1×	0	valid

Compiler

Compiled 319 to 37 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 386.0ms

ival-log: 173.0ms (44.9% of total)

backward-pass: 59.0ms (15.3% of total)

ival-mult: 42.0ms (10.9% of total)

compiled-spec: 35.0ms (9.1% of total)

ival-copysign: 23.0ms (6% of total)

ival-add: 17.0ms (4.4% of total)

ival-div: 16.0ms (4.1% of total)

ival-sub: 14.0ms (3.6% of total)

ival-fabs: 4.0ms (1% of total)

ival-sqrt: 2.0ms (0.5% of total)

const: 1.0ms (0.3% of total)

series60.0ms (0.7%)

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (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 (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 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log -1/8) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 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 (* -1/8 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<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 (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 (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) (+ (* 30 (/ 1 (pow (- 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 45 (/ 1 (- 1 (fabs x)))))))) (* -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 (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 (- 1 (fabs x))>
#<alt (- (+ 1 (* 1/2 (pow x 2))) (fabs x))>
#<alt (- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))>
#<alt (- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))>
#<alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ (fabs x) x))))>
#<alt (* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (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>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>

Calls

66 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log (- 0 x))
12.0ms	x	@	inf	(copysign (- 0 (log (/ (- (sqrt (+ (* 1 1) (* x x))) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x)
8.0ms	x	@	inf	(log (- 0 x))
1.0ms	x	@	0	(- 0 (log (/ (- (sqrt (+ (* 1 1) (* x x))) (fabs x)) (+ (* x x) (- 1 (* x x))))))
1.0ms	x	@	inf	(+ (log (+ 1 (fabs x))) (/ (* (* x x) 1/2) (+ (fabs x) 1)))

rewrite338.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2160×	`fma-lowering-fma.f32`
2160×	`fma-lowering-fma.f64`
2060×	`-lowering-.f32`
2060×	`-lowering-.f64`
1490×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	193
1	241	156
2	2417	127
0	8846	127

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 437

Calls

Call 1

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

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

simplify319.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4248×	`-lowering-.f32`
4248×	`-lowering-.f64`
3376×	`+-lowering-+.f64`
3376×	`+-lowering-+.f32`
1478×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	2614
1	1097	2268
2	3793	2217
0	8366	2217

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(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 (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 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 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 (* -1/8 (pow x 2))))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(+ 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 (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)
(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) (+ (* 30 (/ 1 (pow (- 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 45 (/ 1 (- 1 (fabs x)))))))) (* -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))))
(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)))
(- 1 (fabs x))
(- (+ 1 (* 1/2 (pow x 2))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))
x
(* x (+ 1 (* -1 (/ (fabs x) x))))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))
(* -1 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (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
1
1
1
1
1
1
1
1
1
1
1

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

eval195.0ms (2.1%)

Compiler: Compiled 24288 to 3401 computations (86% saved)

prune168.0ms (1.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1021	14	1035
Fresh	9	2	11
Picked	5	0	5
Done	1	2	3
Total	1036	18	1054

Accuracy

100.0%

Counts

1054 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.0%	(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
	11.3%	(copysign.f64 (-.f64 #s(literal 0 binary64) (+.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x))) (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x x))))) (log.f64 (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (*.f64 x x))))) x)
▶	5.9%	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) x)
▶	49.3%	(copysign.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) x)
	13.9%	(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) x)
	4.5%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))))))))) x)
	48.1%	(copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) x)
✓	63.1%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	4.6%	(copysign.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)) x)
	26.5%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
	27.2%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
	28.1%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
▶	4.4%	(copysign.f64 (log.f64 (+.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x) #s(literal 1 binary64))) x)
	4.4%	(copysign.f64 (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) x)) x)
	31.7%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
	3.1%	(copysign.f64 (log.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x)
▶	9.1%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	9.6%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 705 to 367 computations (47.9% saved)

simplify153.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	640	(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	640	(log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	cost-diff	640	(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))))
✓	cost-diff	640	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) x)
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x)
✓	cost-diff	0	(+.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x) #s(literal 1 binary64))
✓	cost-diff	128	(log.f64 (+.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x) #s(literal 1 binary64)))
✓	cost-diff	128	(copysign.f64 (log.f64 (+.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x) #s(literal 1 binary64))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 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	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	cost-diff	0	(copysign.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) x)

Rules

2982×	`sum3-define`
2108×	`fma-define`
1998×	`fma-lowering-fma.f32`
1998×	`fma-lowering-fma.f64`
1586×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	262
1	91	248
2	184	218
3	440	208
4	700	208
5	892	208
6	1501	208
7	3779	208
8	5765	208
0	8034	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize428.0ms (4.7%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))))
✓	accuracy	100.0%	(+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	100.0%	(fabs.f64 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%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x))

Results

219.0ms	52×	5	exit
132.0ms	203×	0	invalid
1.0ms	1×	0	valid

Compiler

Compiled 301 to 38 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-log: 48.0ms (20.8% of total)

ival-copysign: 41.0ms (17.7% of total)

compiled-spec: 33.0ms (14.3% of total)

backward-pass: 31.0ms (13.4% of total)

ival-mult: 26.0ms (11.2% of total)

ival-div: 23.0ms (9.9% of total)

ival-add: 17.0ms (7.4% of total)

ival-sub: 7.0ms (3% of total)

ival-sqrt: 2.0ms (0.9% of total)

ival-fabs: 2.0ms (0.9% of total)

const: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

series17.0ms (0.2%)

Counts

26 → 312

Calls

Call 1

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

Outputs
#<alt (copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)>
#<alt (copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)>
#<alt (copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)>
#<alt (copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)>
#<alt (copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)>
#<alt (copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)>
#<alt (copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)>
#<alt (copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)>
#<alt (copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)>
#<alt (copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)>
#<alt (copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)>
#<alt (copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))>
#<alt (* 1/2 x)>
#<alt (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (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 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (- (+ 1 (+ x (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ x (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ x (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ x (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)>
#<alt (copysign (log (- (+ 1 (* 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 (* -1/16 x))) 1/6))))>
#<alt (+ (log -1/8) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2)))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 3))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2)))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 3))))) (* 4 (/ 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 (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))) 1/8))>
#<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 (* -1/8 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)>
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)>
#<alt (copysign (neg (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x)))) x)>
#<alt (copysign (neg (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x)))) x)>
#<alt (copysign (neg (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x)))) x)>
#<alt (copysign (neg (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x)))) 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 (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))>
#<alt (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))>
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/6 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (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 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>

Calls

78 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(- 0 (log (/ (- (sqrt (+ (* 1 1) (* x x))) x) (+ (* x x) (- 1 (* x x))))))
1.0ms	x	@	inf	(- 0 (log (/ (- (sqrt (+ (* 1 1) (* x x))) x) (+ (* x x) (- 1 (* x x))))))
1.0ms	x	@	inf	(/ (* 1/2 (* x x)) (+ 1 (fabs x)))
1.0ms	x	@	-inf	(/ (* 1/2 (* x x)) (+ 1 (fabs x)))
0.0ms	x	@	0	(- 0 (log (/ (- (sqrt (+ (* 1 1) (* x x))) x) (+ (* x x) (- 1 (* x x))))))

rewrite371.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3724×	`-lowering-.f32`
3724×	`-lowering-.f64`
2118×	`fma-lowering-fma.f32`
2118×	`fma-lowering-fma.f64`
2050×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	212
1	234	168
2	2127	166
0	8968	166

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 495

Calls

Call 1

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

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

simplify328.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4886×	`+-lowering-+.f64`
4886×	`+-lowering-+.f32`
3388×	`-lowering-.f32`
3388×	`-lowering-.f64`
1432×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	2700
1	1123	2317
2	3367	2283
0	8371	2283

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)
(copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)
(copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)
(copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))
(* 1/2 x)
(* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
(* 1/2 x)
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(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 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(* 1/2 (/ (pow x 2) (+ 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 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 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 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 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 (fabs x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (- (+ 1 (+ x (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ x (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ x (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ x (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (+ (* -1 x) (* 1/8 (pow x 4))))) x)
(copysign (log (- (+ 1 (* 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 (* -1/16 x))) 1/6))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2)))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 3))))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2)))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 3))))) (* 4 (/ 1 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))) 1/8))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))
(* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) x))) x)
(copysign (neg (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x)))) x)
(copysign (neg (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x)))) x)
(copysign (neg (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x)))) x)
(copysign (neg (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x)))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(+ (log 1/2) (log (/ 1 x)))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
1
1
1
1
1
1
1
1
1
1
1
1

Outputs
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (+ 1 x)) (* 1/2 (/ (pow x 2) (+ 1 x)))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) x)
(copysign (+ (log (- 1 (* -1 x))) (* 1/2 (/ (pow x 2) (- 1 (* -1 x))))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) 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) (- (* 1/4 x) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/4 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -3/10 binary64))))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))))
(* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))
(.f64 x (+.f64 (/.f64 (log.f64 x) x) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))
(.f64 x (+.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) x)))
(* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/2 binary64))) x)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x)))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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))
(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)
(-.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)
(-.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)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(copysign (log (+ 1 (+ x (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign.f64 (log1p.f64 (.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 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
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(.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.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 (- (* 1/3 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) 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))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* 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 x (.f64 x #s(literal -1/8 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 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
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)

eval137.0ms (1.5%)

Compiler: Compiled 23822 to 3073 computations (87.1% saved)

prune113.0ms (1.2%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	914	19	933
Fresh	6	5	11
Picked	4	1	5
Done	1	1	2
Total	925	26	951

Accuracy

100.0%

Counts

951 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) x)
	5.2%	(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x)
	5.2%	(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) x)
	5.1%	(copysign.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))) x)
	6.0%	(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) x)
	11.3%	(copysign.f64 (-.f64 #s(literal 0 binary64) (+.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x))) (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 x x))))) (log.f64 (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (*.f64 x x))))) x)
	26.6%	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))) x)
	31.8%	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
	26.5%	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))))) x)
	26.4%	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) x)
	26.6%	(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) x)
	5.8%	(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))))) (log.f64 (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) x)
	5.1%	(copysign.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) x)
	6.0%	(copysign.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x x)) x)
	50.0%	(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)
	50.1%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
	50.0%	(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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x)
	6.2%	(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))))) x)
	12.0%	(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x)
	48.1%	(copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) x)
	26.5%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
	27.2%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
	31.7%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
✓	9.1%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	9.6%	(copysign.f64 (log.f64 x) x)
	50.5%	(copysign.f64 x x)

Compiler

Compiled 1464 to 584 computations (60.1% saved)

regimes37.0ms (0.4%)

Counts

57 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x)

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

Calls

2 calls:

17.0ms	x
15.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

35 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x)

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

33 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x)

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

27 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.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 (*.f64 x 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
99.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) 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 (*.f64 x 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
99.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) 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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x)

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
81.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
64.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
57.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Accuracy

Total -29.6b remaining (-93.4%)

Threshold costs -29.6b (-93.4%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(copysign.f64 x x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
50.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4754943099429815e-5	0.300634535227115
0.0ms	-3.6851032468727256	-0.01559744529495538

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.475494311443444e-5	0.30518365890838833
17.0ms	-19.912070981437754	-0.015598077727842581

Results

22.0ms

256×

valid

Compiler

Compiled 721 to 460 computations (36.2% saved)

Precisions

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

ival-log: 4.0ms (27% of total)

ival-add: 3.0ms (20.3% of total)

ival-copysign: 2.0ms (13.5% of total)

ival-fabs: 2.0ms (13.5% of total)

ival-mult: 2.0ms (13.5% of total)

ival-sqrt: 2.0ms (13.5% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.30518365890838833	645.9410449569538
18.0ms	-19.912070981437754	-0.015598077727842581

Results

23.0ms

256×

valid

Compiler

Compiled 849 to 532 computations (37.3% saved)

Precisions

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

ival-fabs: 4.0ms (25.9% of total)

ival-add: 3.0ms (19.4% of total)

ival-log: 3.0ms (19.4% of total)

ival-copysign: 2.0ms (12.9% of total)

ival-mult: 2.0ms (12.9% of total)

ival-sqrt: 2.0ms (12.9% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.30518365890838833	645.9410449569538
17.0ms	-19.912070981437754	-0.015598077727842581

Results

22.0ms

256×

valid

Compiler

Compiled 753 to 492 computations (34.7% saved)

Precisions

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

ival-add: 4.0ms (27.3% of total)

ival-log: 3.0ms (20.5% of total)

ival-copysign: 2.0ms (13.7% of total)

ival-fabs: 2.0ms (13.7% of total)

ival-mult: 2.0ms (13.7% of total)

ival-sqrt: 2.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.30518365890838833	645.9410449569538
21.0ms	-19.912070981437754	-0.015598077727842581

Results

21.0ms

256×

valid

Compiler

Compiled 657 to 444 computations (32.4% saved)

Precisions

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

ival-add: 3.0ms (22.2% of total)

ival-log: 3.0ms (22.2% of total)

ival-copysign: 2.0ms (14.8% of total)

ival-fabs: 2.0ms (14.8% of total)

ival-mult: 2.0ms (14.8% of total)

ival-sqrt: 2.0ms (14.8% 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
16.0ms	0.30518365890838833	645.9410449569538
16.0ms	-19.912070981437754	-0.015598077727842581

Results

23.0ms

256×

valid

Compiler

Compiled 609 to 412 computations (32.3% saved)

Precisions

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

ival-add: 3.0ms (21.1% of total)

ival-log: 3.0ms (21.1% of total)

ival-copysign: 2.0ms (14.1% of total)

ival-fabs: 2.0ms (14.1% of total)

ival-mult: 2.0ms (14.1% of total)

ival-sqrt: 2.0ms (14.1% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.30518365890838833	645.9410449569538
17.0ms	-19.912070981437754	-0.015598077727842581

Results

23.0ms

256×

valid

Compiler

Compiled 561 to 380 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 5.0ms (32.1% of total)

ival-log: 3.0ms (19.3% of total)

ival-copysign: 2.0ms (12.8% of total)

ival-fabs: 2.0ms (12.8% of total)

ival-mult: 2.0ms (12.8% of total)

ival-sqrt: 2.0ms (12.8% of total)

const: 0.0ms (0% of total)

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

bsearch88.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	0.30518365890838833	645.9410449569538
48.0ms	-19.912070981437754	-0.015598077727842581

Results

21.0ms

256×

valid

Compiler

Compiled 537 to 356 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 3.0ms (22.4% of total)

ival-log: 3.0ms (22.4% of total)

ival-copysign: 2.0ms (14.9% of total)

ival-fabs: 2.0ms (14.9% of total)

ival-mult: 2.0ms (14.9% of total)

ival-sqrt: 2.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.30518365890838833	645.9410449569538
19.0ms	-19.912070981437754	-0.015598077727842581

Results

25.0ms

256×

valid

Compiler

Compiled 521 to 340 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 6.0ms (36.3% of total)

ival-add: 3.0ms (18.1% of total)

ival-copysign: 2.0ms (12.1% of total)

ival-fabs: 2.0ms (12.1% of total)

ival-mult: 2.0ms (12.1% of total)

ival-sqrt: 2.0ms (12.1% 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
15.0ms	0.30518365890838833	645.9410449569538

Results

11.0ms

128×

valid

Compiler

Compiled 265 to 172 computations (35.1% saved)

Precisions

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

ival-copysign: 1.0ms (14.9% of total)

ival-add: 1.0ms (14.9% of total)

ival-log: 1.0ms (14.9% of total)

ival-fabs: 1.0ms (14.9% of total)

ival-mult: 1.0ms (14.9% of total)

ival-sqrt: 1.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

56×	`+-commutative_binary64`
48×	`*-commutative_binary64`
34×	`sub-neg_binary64`
32×	`neg-mul-1_binary64`
20×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	544
1	155	544
2	175	544
3	188	544
4	200	544
5	219	544
6	237	544
7	247	544
8	251	544

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 -2 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/147573952589676412928 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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))))) x) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))) x)))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x))) x)))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) x) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 (.f64 x 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 -5/4 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x #s(literal -2 binary64)))) x) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 (.f64 x 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 -5/4 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x #s(literal -2 binary64)))) x) (if (<=.f64 x #s(literal 5/4 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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -1823957849085051/1125899906842624 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5/4 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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -1823957849085051/1125899906842624 binary64)) (copysign.f64 (log.f64 (neg.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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.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 (*.f64 x 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 -2 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/147573952589676412928 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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))))) x) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 2 binary64))))) x) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 2 binary64))))) 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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))) x)))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x))) x)))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) x) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 (.f64 x 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 -5/4 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x #s(literal -2 binary64)))) x) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 (.f64 x 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 -5/4 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x #s(literal -2 binary64)))) x) (if (<=.f64 x #s(literal 5/4 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 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -1823957849085051/1125899906842624 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5/4 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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -1823957849085051/1125899906842624 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (if (<=.f64 x #s(literal 5/4 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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -1823957849085051/1125899906842624 binary64)) (copysign.f64 (log.f64 (neg.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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 x) x)))
(if (<=.f64 x #s(literal -1823957849085051/1125899906842624 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.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 (*.f64 x x) #s(literal -5/112 binary64))))))))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

soundness2.3s (24.8%)

Rules

4886×	`+-lowering-+.f64`
4886×	`+-lowering-+.f32`
4128×	`-lowering-.f32`
4128×	`-lowering-.f64`
3786×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	15	9
2	16	9
3	17	9
0	17	9
0	249	2295
1	738	2073
2	2340	1966
3	7594	1966
0	8211	1966
0	147	576
1	447	477
2	1534	465
3	5731	465
0	8739	465
0	368	2700
1	1123	2317
2	3367	2283
0	8371	2283
0	39	193
1	241	156
2	2417	127
0	8846	127
0	10	24
1	46	24
2	355	24
3	4020	24
0	8155	24

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 1388 to 680 computations (51% saved)

preprocess102.0ms (1.1%)

Compiler: Compiled 1184 to 260 computations (78% saved)

Iter	Nodes	Cost
0	111	544
1	155	544
2	175	544
3	188	544
4	200	544
5	219	544
6	237	544
7	247	544
8	251	544

Iter	Nodes	Cost
0	111	544
1	155	544
2	175	544
3	188	544
4	200	544
5	219	544
6	237	544
7	247	544
8	251	544

analyze0.0ms (0%)

sample524.0ms (5.8%)

preprocess16.0ms (0.2%)

explain220.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize146.0ms (1.6%)

series5.0ms (0.1%)

rewrite263.0ms (2.9%)

simplify253.0ms (2.8%)

eval49.0ms (0.5%)

prune57.0ms (0.6%)

simplify323.0ms (3.5%)

localize213.0ms (2.3%)

series159.0ms (1.8%)

rewrite124.0ms (1.4%)

simplify272.0ms (3%)

eval91.0ms (1%)

prune55.0ms (0.6%)

simplify211.0ms (2.3%)

localize599.0ms (6.6%)

series60.0ms (0.7%)

rewrite338.0ms (3.7%)

simplify319.0ms (3.5%)

eval195.0ms (2.1%)

prune168.0ms (1.8%)

simplify153.0ms (1.7%)

localize428.0ms (4.7%)

series17.0ms (0.2%)

rewrite371.0ms (4.1%)

simplify328.0ms (3.6%)

eval137.0ms (1.5%)

prune113.0ms (1.2%)

regimes37.0ms (0.4%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch36.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch36.0ms (0.4%)

bsearch39.0ms (0.4%)

bsearch35.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch88.0ms (1%)

bsearch42.0ms (0.5%)

bsearch19.0ms (0.2%)

simplify22.0ms (0.2%)

soundness2.3s (24.8%)

preprocess102.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	111	544
1	155	544
2	175	544
3	188	544
4	200	544
5	219	544
6	237	544
7	247	544
8	251	544