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)

sample480.0ms (5.7%)

Results

342.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-asinh: 89.0ms (89.7% of total)

const: 7.0ms (7.1% of total)

backward-pass: 3.0ms (3% of total)

Bogosity

preprocess17.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain243.0ms (2.9%)

FPErrors

Click to see full error table

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

Results

80.0ms	104×	2	valid
52.0ms	142×	1	valid
38.0ms	266×	0	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-log: 35.0ms (41.2% of total)

backward-pass: 10.0ms (11.8% of total)

ival-add: 10.0ms (11.8% of total)

ival-copysign: 8.0ms (9.4% of total)

ival-sqrt: 7.0ms (8.2% of total)

ival-mult: 7.0ms (8.2% of total)

ival-fabs: 7.0ms (8.2% of total)

const: 1.0ms (1.2% 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
▶	54.6%	(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 (0.1%)

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 (1.7%)

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	99.9%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))

Results

103.0ms	125×	5	exit
18.0ms	131×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

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

ival-log: 22.0ms (26.3% of total)

compiled-spec: 18.0ms (21.5% of total)

backward-pass: 17.0ms (20.4% of total)

ival-add: 7.0ms (8.4% of total)

ival-mult: 7.0ms (8.4% of total)

ival-copysign: 5.0ms (6% of total)

ival-fabs: 4.0ms (4.8% of total)

ival-sqrt: 3.0ms (3.6% of total)

const: 1.0ms (1.2% of total)

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite238.0ms (2.8%)

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))))))))
(-.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 0 binary64) (-.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))

simplify254.0ms (3%)

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)

eval21.0ms (0.3%)

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

prune36.0ms (0.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	147	13	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	14	161

Accuracy

100.0%

Counts

161 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(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)
	51.6%	(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)
▶	9.8%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
▶	54.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
▶	64.6%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	27.5%	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
	9.4%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
	6.8%	(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)
✓	54.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
▶	9.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) x)
	19.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	28.0%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
▶	9.3%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 384 to 243 computations (36.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
✓	cost-diff	192	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	192	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
✓	cost-diff	128	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	cost-diff	128	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) x)
✓	cost-diff	0	(/.f64 (fabs.f64 x) x)
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
✓	cost-diff	0	(copysign.f64 (+.f64 (log.f64 x) (/.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

44×	`+-lowering-+.f64`
44×	`+-lowering-+.f32`
42×	`fma-lowering-fma.f32`
42×	`fma-lowering-fma.f64`
34×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	139
1	48	131
2	71	127
3	100	127
4	120	127
5	141	127
6	149	127
0	149	127

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize314.0ms (3.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
✓	accuracy	85.6%	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(/.f64 (fabs.f64 x) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) 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

161.0ms	54×	5	exit
87.0ms	136×	0	invalid
25.0ms	66×	0	valid

Compiler

Compiled 151 to 24 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-log: 41.0ms (28.7% of total)

compiled-spec: 29.0ms (20.3% of total)

backward-pass: 21.0ms (14.7% of total)

ival-copysign: 15.0ms (10.5% of total)

ival-add: 12.0ms (8.4% of total)

ival-mult: 9.0ms (6.3% of total)

ival-div: 7.0ms (4.9% of total)

ival-fabs: 3.0ms (2.1% of total)

ival-neg: 2.0ms (1.4% of total)

ival-sqrt: 2.0ms (1.4% of total)

const: 1.0ms (0.7% of total)

series141.0ms (1.7%)

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
32.0ms	x	@	0	(log (+ 1 (fabs x)))
31.0ms	x	@	-inf	(log x)
26.0ms	x	@	inf	(log (+ 1 (fabs x)))
19.0ms	x	@	-inf	(log (+ 1 (fabs x)))
13.0ms	x	@	0	(log x)

rewrite391.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3158×	`/-lowering-/.f32`
3158×	`/-lowering-/.f64`
2370×	`-lowering-.f32`
2370×	`-lowering-.f64`
2018×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	104
1	134	97
2	1162	90
0	8778	90

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 313

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

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

simplify339.0ms (4%)

Algorithm

1×	egg-herbie

Rules

4728×	`-lowering-.f32`
4728×	`-lowering-.f64`
4100×	`+-lowering-+.f64`
4100×	`+-lowering-+.f32`
1628×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	2402
1	936	2055
2	3334	2007
0	9602	2007

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval108.0ms (1.3%)

Compiler: Compiled 20038 to 1689 computations (91.6% saved)

prune92.0ms (1.1%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	568	11	579
Fresh	2	6	8
Picked	3	2	5
Done	0	1	1
Total	573	20	593

Accuracy

100.0%

Counts

593 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.8%	(copysign.f64 (/.f64 (fabs.f64 x) x) x)
	2.7%	(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
	11.3%	(copysign.f64 (-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))) x)
	2.7%	(copysign.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (log.f64 x)) x)
	51.6%	(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)
▶	9.8%	(copysign.f64 (+.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) x)
	3.2%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
	4.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) x)
▶	54.5%	(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x))) x)
✓	64.6%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	4.0%	(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) x)
▶	3.2%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
	27.5%	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
▶	9.4%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
	4.6%	(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
	6.8%	(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)
✓	54.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	28.0%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
✓	9.3%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 1109 to 450 computations (59.4% saved)

simplify204.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (fabs.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 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	0	(log.f64 x)
✓	cost-diff	6464	(pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))
✓	cost-diff	6464	(+.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
✓	cost-diff	6464	(copysign.f64 (+.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) x)
✓	cost-diff	1152	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))
✓	cost-diff	1152	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))
✓	cost-diff	1152	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))))
✓	cost-diff	1152	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 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	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x))
✓	cost-diff	0	(log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x))) x)

Rules

2030×	`-lowering-.f32`
2030×	`-lowering-.f64`
1828×	`fma-lowering-fma.f32`
1828×	`fma-lowering-fma.f64`
1596×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	310
1	106	291
2	264	281
3	763	262
4	2285	256
5	5430	256
0	8360	256

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (* (* x x) 1/2) (fabs x)))) x)
(log (+ 1 (+ (* (* x x) 1/2) (fabs x))))
(+ (* (* x x) 1/2) (fabs x))
(* (* x x) 1/2)
(* x x)
x
1/2
(fabs x)
(copysign (log (- 0 x)) x)
(log (- 0 x))
(- 0 x)
0
x
(copysign (log (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) x)
(log (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))))
(/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))
(+ 1 (* x (* x x)))
1
(* x (* x x))
x
(* x x)
(+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))
(/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))
(- (* (* x x) (* (* x x) (* x x))) (* x (* x x)))
(* (* x x) (* (* x x) (* x x)))
(* (* x x) (* x x))
(+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))
(+ (* x x) (* x (* x x)))
(copysign (+ (log x) (pow 1 3/2)) x)
(+ (log x) (pow 1 3/2))
(log x)
x
(pow 1 3/2)
1
3/2
(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

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

localize299.0ms (3.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	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%	(fabs.f64 x)
✓	accuracy	100.0%	(pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(copysign.f64 (+.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) x)
✓	accuracy	100.0%	(+.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x 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 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)))
✓	accuracy	100.0%	(fabs.f64 x)

Results

196.0ms

256×

invalid

Compiler

Compiled 465 to 40 computations (91.4% saved)

Precisions

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

ival-mult: 33.0ms (37.7% of total)

ival-log: 14.0ms (16% of total)

ival-add: 12.0ms (13.7% of total)

ival-copysign: 11.0ms (12.6% of total)

compiled-spec: 6.0ms (6.9% of total)

ival-div: 3.0ms (3.4% of total)

ival-sub: 3.0ms (3.4% of total)

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

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

const: 1.0ms (1.1% of total)

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

series44.0ms (0.5%)

Counts

24 → 276

Calls

Call 1

Inputs
#<alt (copysign (log (+ 1 (+ (* (* x x) 1/2) (fabs x)))) x)>
#<alt (log (+ 1 (+ (* (* x x) 1/2) (fabs x))))>
#<alt (+ (* (* x x) 1/2) (fabs x))>
#<alt (* (* x x) 1/2)>
#<alt (copysign (log (- 0 x)) x)>
#<alt (log (- 0 x))>
#<alt (- 0 x)>
#<alt (copysign (log (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) x)>
#<alt (log (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))))>
#<alt (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))>
#<alt (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))>
#<alt (copysign (+ (log x) (pow 1 3/2)) x)>
#<alt (+ (log x) (pow 1 3/2))>
#<alt (pow 1 3/2)>
#<alt (log 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 (fabs x)>
#<alt (* x x)>
#<alt (* x (* x x))>
#<alt (* (* x x) (* x x))>
#<alt (* x (* x (+ 1/2 (* (* x x) -1/8))))>

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

Calls

69 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(log (- 0 x))
8.0ms	x	@	inf	(log (- 0 x))
6.0ms	x	@	inf	(+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))
5.0ms	x	@	inf	(log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8))))))
1.0ms	x	@	-inf	(copysign (log (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) x)

rewrite514.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5158×	`-lowering-.f32`
5158×	`-lowering-.f64`
2692×	`/-lowering-/.f32`
2692×	`/-lowering-/.f64`
2294×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	221
1	273	203
2	2667	189
0	10575	189

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 409

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (* (* x x) 1/2) (fabs x)))) x)
(log (+ 1 (+ (* (* x x) 1/2) (fabs x))))
(+ (* (* x x) 1/2) (fabs x))
(* (* x x) 1/2)
(copysign (log (- 0 x)) x)
(log (- 0 x))
(- 0 x)
(copysign (log (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))) x)
(log (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))))
(/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x)))))))
(+ 1 (/ (- (* (* x x) (* (* x x) (* x x))) (* x (* x x))) (+ (* (* x x) (* x x)) (+ (* x x) (* x (* x x))))))
(copysign (+ (log x) (pow 1 3/2)) x)
(+ (log x) (pow 1 3/2))
(pow 1 3/2)
(log 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 x)
(* x (* x x))
(* (* x x) (* x x))
(* x (* x (+ 1/2 (* (* x x) -1/8))))

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

simplify300.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3998×	`-lowering-.f32`
3998×	`-lowering-.f64`
2804×	`+-lowering-+.f64`
2804×	`+-lowering-+.f32`
1728×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2653
1	759	2336
2	2428	2297
0	8519	2297

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

Outputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (.f64 (.f64 x x) #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 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (*.f64 x x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (.f64 x x)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (.f64 x x)))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (.f64 x x)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (.f64 x x)) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (.f64 x x)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.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))
(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))))
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(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (.f64 x x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 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)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (.f64 x x) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) (/.f64 #s(literal -4 binary64) (.f64 x x))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 #s(literal 4 binary64) (log.f64 x))) (+.f64 (/.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -4 binary64) (.f64 x x))))
(- (+ (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))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (/.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 (.f64 (fabs.f64 x) #s(literal -23040 binary64)) #s(literal -38400 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) (/.f64 #s(literal -4 binary64) (.f64 x x))))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)) (+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (/.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -4 binary64) (.f64 x x)))))
(- (+ (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))))
(+.f64 (.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (.f64 (+.f64 (.f64 (fabs.f64 x) #s(literal -23040 binary64)) #s(literal -38400 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal -1/8 binary64)) (/.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x x)))))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 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 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (.f64 x (.f64 x (*.f64 x x))))))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (.f64 x (.f64 x (*.f64 x x))))))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 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 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (.f64 x (.f64 x (*.f64 x x))))))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (.f64 x (.f64 x (*.f64 x x))))))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(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)
(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))
(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)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 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 x (.f64 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 x (.f64 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 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 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 x (.f64 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 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))

eval212.0ms (2.5%)

Compiler: Compiled 54433 to 5412 computations (90.1% saved)

prune163.0ms (1.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1346	7	1353
Fresh	7	5	12
Picked	5	0	5
Done	0	3	3
Total	1358	15	1373

Accuracy

100.0%

Counts

1373 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.7%	(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
	11.3%	(copysign.f64 (-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))) x)
▶	9.8%	(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
▶	54.5%	(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) x)
	49.8%	(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)
	49.8%	(copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
✓	64.6%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	4.4%	(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))) x)
	27.5%	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
	6.8%	(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)
✓	54.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
▶	28.0%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
	9.4%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	9.3%	(copysign.f64 (log.f64 x) x)
▶	51.9%	(copysign.f64 x x)

Compiler

Compiled 457 to 254 computations (44.4% saved)

simplify212.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	640	(+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
✓	cost-diff	640	(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
✓	cost-diff	896	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
✓	cost-diff	896	(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(+.f64 (log.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
✓	cost-diff	0	(copysign.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)) x)
✓	cost-diff	0	(log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) x)

Rules

3774×	`-lowering-.f32`
3774×	`-lowering-.f64`
2770×	`/-lowering-/.f32`
2770×	`/-lowering-/.f64`
2144×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	61	116
2	111	104
3	214	104
4	339	104
5	1084	104
6	2275	104
7	3844	104
8	6008	104
9	7696	104
0	8042	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize204.0ms (2.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
✓	accuracy	78.4%	(/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(+.f64 (log.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(copysign.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)
✓	accuracy	85.6%	(log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))

Results

51.0ms	67×	0	valid
49.0ms	136×	0	invalid
44.0ms	26×	5	exit
22.0ms	27×	1	valid

Compiler

Compiled 188 to 25 computations (86.7% saved)

Precisions

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

ival-log: 16.0ms (21.3% of total)

ival-copysign: 12.0ms (16% of total)

backward-pass: 10.0ms (13.3% of total)

compiled-spec: 10.0ms (13.3% of total)

ival-mult: 9.0ms (12% of total)

ival-div: 8.0ms (10.6% of total)

ival-add: 8.0ms (10.6% of total)

ival-fabs: 2.0ms (2.7% of total)

const: 1.0ms (1.3% of total)

series12.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/8 x) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (+ 1/8 (* -1/20 x))) 1/6))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))) (/ 4/3 (pow x 3)))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 4)))))) (/ 4/3 (pow x 3)))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) 2) x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) (+ 2 (/ 2 (pow x 3)))) x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (+ 1 (log x))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 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 (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (copysign (+ 1 (log x)) x)>
#<alt (+ 1 (log x))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (/ 1 (+ 1 (log x)))>
#<alt (/ 1 (+ 1 (log x)))>
#<alt (/ 1 (+ 1 (log x)))>
#<alt (/ 1 (+ 1 (log x)))>
#<alt (/ 1 (+ 1 (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (+ 1 (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (+ 1 (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (+ 1 (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (+ 1 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (/ 1 (+ 1 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (/ 1 (+ 1 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (/ 1 (+ 1 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (log x))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (* -1 (log (/ 1 x))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ 1 (+ (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 (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>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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 (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

60 calls:

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

rewrite292.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2918×	`-lowering-.f32`
2918×	`-lowering-.f64`
2812×	`/-lowering-/.f32`
2812×	`/-lowering-/.f64`
1906×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	99
1	143	97
2	982	86
0	8927	86

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 539

Calls

Call 1

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

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

simplify283.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2306×	`-lowering-.f32`
2306×	`-lowering-.f64`
1808×	`fma-lowering-fma.f32`
1808×	`fma-lowering-fma.f64`
1376×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1474
1	442	1340
2	1219	1252
3	4538	1251
0	8167	1251

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/8 x) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/8 (* -1/20 x))) 1/6))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))) (/ 4/3 (pow x 3)))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 4)))))) (/ 4/3 (pow x 3)))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) 2) x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) (+ 2 (/ 2 (pow x 3)))) x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(+ 1 (log x))
(+ 1 (log x))
(+ 1 (log x))
(+ 1 (log x))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 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 (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(copysign (+ 1 (log x)) x)
(+ 1 (log x))
(+ 1 (log x))
(+ 1 (log x))
(+ 1 (log x))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(/ 1 (+ 1 (log x)))
(/ 1 (+ 1 (log x)))
(/ 1 (+ 1 (log x)))
(/ 1 (+ 1 (log x)))
(/ 1 (+ 1 (* -1 (log (/ 1 x)))))
(/ 1 (+ 1 (* -1 (log (/ 1 x)))))
(/ 1 (+ 1 (* -1 (log (/ 1 x)))))
(/ 1 (+ 1 (* -1 (log (/ 1 x)))))
(/ 1 (+ 1 (+ (log -1) (* -1 (log (/ -1 x))))))
(/ 1 (+ 1 (+ (log -1) (* -1 (log (/ -1 x))))))
(/ 1 (+ 1 (+ (log -1) (* -1 (log (/ -1 x))))))
(/ 1 (+ 1 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ 1 (log x))
(+ 1 (log x))
(+ 1 (log x))
(+ 1 (log x))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (* -1 (log (/ 1 x))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ 1 (+ (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))
(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
1
1
1
1
1
1
1
1
1
1
1
(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)
(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 (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
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(+ x (fabs x))
(+.f64 x (fabs.f64 x))
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 x (fabs.f64 x))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 x (fabs.f64 x))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 x (fabs.f64 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)
1
#s(literal 1 binary64)
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
1
#s(literal 1 binary64)
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (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
#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)
(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))
(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)

eval131.0ms (1.5%)

Compiler: Compiled 17050 to 2800 computations (83.6% saved)

prune100.0ms (1.2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	910	4	914
Fresh	1	6	7
Picked	3	2	5
Done	1	2	3
Total	915	14	929

Accuracy

100.0%

Counts

929 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.8%	(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) #s(literal 1 binary64)))) x)
	11.3%	(copysign.f64 (-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))) x)
✓	9.8%	(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
	51.5%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
	49.8%	(copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
✓	64.6%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	56.8%	(copysign.f64 (log1p.f64 x) x)
	4.4%	(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))) x)
	27.5%	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
	6.8%	(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)
✓	54.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	28.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
	9.4%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	51.9%	(copysign.f64 x x)

Compiler

Compiled 960 to 299 computations (68.9% saved)

regimes26.0ms (0.3%)

Counts

37 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (log.f64 x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 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 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (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 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)

Outputs

(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

31 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (log.f64 x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 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 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))) x)

Outputs

(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Counts

28 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (log.f64 x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 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 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) x)

Outputs

(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

24 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (log.f64 x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
81.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (log.f64 x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
64.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (+.f64 (log.f64 x) #s(literal 1 binary64)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (log.f64 x)) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) x)

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
64.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
58.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
58.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.4b remaining (-1.4%)

Threshold costs -0.4b (-1.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(copysign.f64 x x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
51.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2914807081922917e-6	0.1886301086601971
0.0ms	-19.585664580931624	-0.0006460340093701414

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch58.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	0.18975071841882268	126008459.02020957
19.0ms	-160293553.31117567	-0.0006460340543084757

Results

44.0ms

304×

valid

Compiler

Compiled 589 to 374 computations (36.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 22.0ms (63.2% of total)

ival-log: 3.0ms (8.6% of total)

ival-copysign: 2.0ms (5.7% of total)

ival-fabs: 2.0ms (5.7% of total)

ival-mult: 2.0ms (5.7% of total)

ival-sqrt: 2.0ms (5.7% 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
19.0ms	0.18975071841882268	126008459.02020957
19.0ms	-160293553.31117567	-0.0006460340543084757

Results

28.0ms

304×

valid

Compiler

Compiled 570 to 355 computations (37.7% saved)

Precisions

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

ival-log: 6.0ms (32.6% of total)

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

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

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

ival-fabs: 2.0ms (10.9% of total)

ival-sqrt: 2.0ms (10.9% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.18975071841882268	126008459.02020957

Results

13.0ms

144×

valid

Compiler

Compiled 161 to 111 computations (31.1% saved)

Precisions

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

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

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-160293553.31117567	-0.0006460340543084757

Results

15.0ms

160×

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

Precisions

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

ival-log: 3.0ms (29.4% of total)

ival-copysign: 2.0ms (19.6% of total)

ival-add: 2.0ms (19.6% of total)

ival-fabs: 1.0ms (9.8% of total)

ival-mult: 1.0ms (9.8% of total)

ival-sqrt: 1.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.18975071841882268	126008459.02020957

Results

12.0ms

144×

valid

Compiler

Compiled 188 to 129 computations (31.4% saved)

Precisions

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

ival-log: 2.0ms (27.6% of total)

ival-copysign: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

ival-fabs: 1.0ms (13.8% of total)

ival-mult: 1.0ms (13.8% of total)

ival-sqrt: 1.0ms (13.8% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.18975071841882268	126008459.02020957

Results

12.0ms

144×

valid

Compiler

Compiled 188 to 129 computations (31.4% saved)

Precisions

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

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

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

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

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

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

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

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
12×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	227
1	93	227
2	96	227
3	97	227

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 -10 binary64)) (copysign.f64 (log.f64 (-.f64 (.f64 x (/.f64 (fabs.f64 x) 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 4722366482869645/2361183241434822606848 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (copysign.f64 (log.f64 (-.f64 (.f64 x (/.f64 (fabs.f64 x) x)) x)) x) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 x #s(literal -5224175567749775/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (.f64 x (/.f64 (fabs.f64 x) x)) x)) x) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 2 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 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 -10 binary64)) (copysign.f64 (log.f64 (-.f64 (.f64 x (/.f64 (fabs.f64 x) 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 4722366482869645/2361183241434822606848 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (copysign.f64 (log.f64 (-.f64 (.f64 x (/.f64 (fabs.f64 x) x)) x)) x) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (copysign.f64 (log.f64 (-.f64 (.f64 x (/.f64 (fabs.f64 x) x)) x)) x) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -5224175567749775/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (.f64 x (/.f64 (fabs.f64 x) x)) x)) x) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 x #s(literal -5224175567749775/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (.f64 x (/.f64 (fabs.f64 x) x)) x)) x) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))
(if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 2 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

soundness2.2s (26.1%)

Rules

5158×	`-lowering-.f32`
5158×	`-lowering-.f64`
3998×	`-lowering-.f32`
3998×	`-lowering-.f64`
3786×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	99
1	143	97
2	982	86
0	8927	86
0	26	104
1	134	97
2	1162	90
0	8778	90
0	40	221
1	273	203
2	2667	189
0	10575	189
0	257	2653
1	759	2336
2	2428	2297
0	8519	2297
0	9	11
1	15	9
2	16	9
3	17	9
0	17	9
0	160	1474
1	442	1340
2	1219	1252
3	4538	1251
0	8167	1251
0	147	576
1	447	477
2	1534	465
3	5731	465
0	8739	465

Stop Event

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

Compiler

Compiled 760 to 437 computations (42.5% saved)

preprocess140.0ms (1.7%)

Compiler: Compiled 526 to 188 computations (64.3% saved)

analyze0.0ms (0%)

sample480.0ms (5.7%)

preprocess17.0ms (0.2%)

explain243.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize146.0ms (1.7%)

series4.0ms (0%)

rewrite238.0ms (2.8%)

simplify254.0ms (3%)

eval21.0ms (0.3%)

prune36.0ms (0.4%)

simplify10.0ms (0.1%)

localize314.0ms (3.7%)

series141.0ms (1.7%)

rewrite391.0ms (4.6%)

simplify339.0ms (4%)

eval108.0ms (1.3%)

prune92.0ms (1.1%)

simplify204.0ms (2.4%)

localize299.0ms (3.5%)

series44.0ms (0.5%)

rewrite514.0ms (6.1%)

simplify300.0ms (3.6%)

eval212.0ms (2.5%)

prune163.0ms (1.9%)

simplify212.0ms (2.5%)

localize204.0ms (2.4%)

series12.0ms (0.1%)

rewrite292.0ms (3.5%)

simplify283.0ms (3.3%)

eval131.0ms (1.5%)

prune100.0ms (1.2%)

regimes26.0ms (0.3%)

regimes13.0ms (0.1%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes15.0ms (0.2%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch58.0ms (0.7%)

bsearch42.0ms (0.5%)

bsearch20.0ms (0.2%)

bsearch24.0ms (0.3%)

bsearch23.0ms (0.3%)

bsearch21.0ms (0.3%)

simplify11.0ms (0.1%)

soundness2.2s (26.1%)

preprocess140.0ms (1.7%)

end0.0ms (0%)

Profiling