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)

sample396.0ms (4.4%)

Results

262.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-asinh: 86.0ms (90% of total)

const: 7.0ms (7.3% of total)

backward-pass: 3.0ms (3.1% of total)

Bogosity

preprocess14.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	9	11
1	14	9
2	15	9
3	16	9
0	16	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain170.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
117	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
70	-	-	`(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

50.0ms	100×	2	valid
41.0ms	286×	0	valid
33.0ms	126×	1	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-log: 28.0ms (38.4% of total)

ival-add: 9.0ms (12.3% of total)

ival-sqrt: 8.0ms (11% of total)

ival-copysign: 8.0ms (11% of total)

backward-pass: 7.0ms (9.6% of total)

ival-mult: 7.0ms (9.6% of total)

ival-fabs: 6.0ms (8.2% of total)

const: 1.0ms (1.4% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify6.0ms (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	15	29
2	16	29
0	16	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize143.0ms (1.6%)

Localize:

Found 4 expressions of interest:

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

Results

109.0ms	116×	5	exit
17.0ms	140×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

compiled-spec: 59.0ms (37.7% of total)

ival-mult: 52.0ms (33.2% of total)

ival-log: 16.0ms (10.2% of total)

backward-pass: 10.0ms (6.4% of total)

ival-fabs: 6.0ms (3.8% of total)

ival-copysign: 5.0ms (3.2% of total)

ival-add: 5.0ms (3.2% of total)

ival-sqrt: 3.0ms (1.9% of total)

const: 1.0ms (0.6% 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))))

rewrite325.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify230.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval33.0ms (0.4%)

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

prune42.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	147	14	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	15	162

Accuracy

100.0%

Counts

162 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.3%	(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
	48.5%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
	47.9%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
▶	10.2%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
	58.7%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
▶	61.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	17.1%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
	9.8%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
✓	58.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
▶	10.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
	21.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	28.7%	(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
	29.3%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
▶	28.7%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
▶	9.7%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 412 to 261 computations (36.7% saved)

simplify282.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
✓	cost-diff	640	(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	640	(log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))))
✓	cost-diff	640	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	128	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	128	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
✓	cost-diff	0	(/.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

4598×	`-lowering-.f32`
4598×	`-lowering-.f64`
1916×	`/-lowering-/.f32`
1916×	`/-lowering-/.f64`
1506×	`fma-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	30	250
1	65	221
2	146	217
3	445	217
4	1038	199
5	1941	199
6	2343	197
7	3206	197
8	4249	197
9	4817	197
10	5478	197
11	6280	197
12	7231	197
13	7744	197
14	7996	197
0	8024	197

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize173.0ms (1.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	86.0%	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(/.f64 (fabs.f64 x) x)
✓	accuracy	100.0%	(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 x) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)

Results

72.0ms	186×	0	invalid
55.0ms	70×	0	valid

Compiler

Compiled 270 to 30 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 46.0ms (48.9% of total)

ival-log: 12.0ms (12.8% of total)

ival-copysign: 10.0ms (10.6% of total)

ival-add: 10.0ms (10.6% of total)

ival-div: 7.0ms (7.4% of total)

compiled-spec: 6.0ms (6.4% of total)

ival-fabs: 2.0ms (2.1% of total)

const: 1.0ms (1.1% of total)

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

series171.0ms (1.9%)

Counts

20 → 240

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

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

Calls

60 calls:

Time	Variable		Point	Expression
66.0ms	x	@	-inf	(log x)
31.0ms	x	@	0	(log (+ 1 (fabs x)))
21.0ms	x	@	inf	(log (+ 1 (fabs x)))
14.0ms	x	@	0	(log x)
14.0ms	x	@	-inf	(log (+ 1 (fabs x)))

rewrite367.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2756×	`/-lowering-/.f32`
2756×	`/-lowering-/.f64`
2184×	`fma-lowering-fma.f32`
2184×	`fma-lowering-fma.f64`
2178×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	183
1	174	160
2	2193	146
0	9006	146

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 354

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

simplify320.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3530×	`-lowering-.f32`
3530×	`-lowering-.f64`
2398×	`fma-lowering-fma.f32`
2398×	`fma-lowering-fma.f64`
1802×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	1975
1	647	1881
2	1963	1831
3	6526	1831
0	8230	1831

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

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

eval111.0ms (1.2%)

Compiler: Compiled 23874 to 2450 computations (89.7% saved)

prune101.0ms (1.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	720	9	729
Fresh	6	3	9
Picked	3	2	5
Done	0	1	1
Total	729	15	744

Accuracy

100.0%

Counts

744 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.2%	(copysign.f64 (/.f64 (fabs.f64 x) x) x)
	10.3%	(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
	47.2%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
	5.5%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) x)
	4.1%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
▶	51.6%	(copysign.f64 (log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fabs.f64 x))) x)
✓	61.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	4.1%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
▶	28.0%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
	17.1%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
▶	9.8%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
▶	5.5%	(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
✓	58.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	9.3%	(copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) x) (.f64 x (.f64 x x)))))) x)
✓	9.7%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 777 to 314 computations (59.6% saved)

simplify217.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1728×	`sum4-define`
1682×	`fma-lowering-fma.f32`
1682×	`fma-lowering-fma.f64`
1676×	`-lowering-.f32`
1676×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	549
1	83	469
2	201	456
3	560	414
4	1957	401
5	5009	401
0	8065	401

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize344.0ms (3.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	84.3%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
✓	accuracy	77.6%	(log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	84.3%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
✓	accuracy	77.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
✓	accuracy	99.9%	(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
✓	accuracy	84.1%	(log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x 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 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	100.0%	(log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fabs.f64 x)))
✓	accuracy	100.0%	(fabs.f64 x)

Results

98.0ms	192×	0	invalid
70.0ms	26×	2	valid
41.0ms	37×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 753 to 35 computations (95.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-log: 47.0ms (27.7% of total)

ival-copysign: 33.0ms (19.5% of total)

ival-sub: 24.0ms (14.2% of total)

ival-div: 14.0ms (8.3% of total)

ival-add: 14.0ms (8.3% of total)

ival-mult: 13.0ms (7.7% of total)

compiled-spec: 13.0ms (7.7% of total)

backward-pass: 8.0ms (4.7% of total)

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

const: 1.0ms (0.6% of total)

series39.0ms (0.4%)

Counts

24 → 288

Calls

Call 1

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

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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (- (+ (log -1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<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 (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)>
#<alt (copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)>
#<alt (copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)>
#<alt (copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)>
#<alt (copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) 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 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* 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) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (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 (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 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)>

Calls

72 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(log (- 0 x))
8.0ms	x	@	inf	(log (- 0 x))
7.0ms	x	@	inf	(log (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))))
1.0ms	x	@	0	(+ (/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))) (* 1/2 (* x x)))
1.0ms	x	@	-inf	(/ (+ 1 (* x (* x x))) (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))

rewrite467.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5100×	`-lowering-.f32`
5100×	`-lowering-.f64`
2968×	`/-lowering-/.f32`
2968×	`/-lowering-/.f64`
2326×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	356
1	241	301
2	2509	289
0	10895	289

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 466

Calls

Call 1

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

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

simplify397.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

4774×	`-lowering-.f32`
4774×	`-lowering-.f64`
3206×	`+-lowering-+.f64`
3206×	`+-lowering-+.f32`
1718×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	3467
1	855	2931
2	2515	2831
0	8247	2831

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 1/2) (log (/ 1 x)))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(- (+ (log -1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/ -1/8 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))
1/2
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
1/2
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(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 (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)
(copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)
(copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)
(copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) 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))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(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)
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 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)

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 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (*.f64 x x)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (.f64 x x)) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #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 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (.f64 x x)) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) #s(literal 8/3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (*.f64 x x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (.f64 x x)) (.f64 #s(literal -2 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (.f64 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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (.f64 x x)) (+.f64 (.f64 #s(literal -2 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) #s(literal 8/3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(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 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) #s(literal 1 binary64))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) #s(literal 1 binary64))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) #s(literal 1 binary64))))
(* 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 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) #s(literal 1 binary64))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) #s(literal 1 binary64))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) #s(literal 1 binary64))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
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(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
(copysign (log (+ (* 1/2 (pow x 2)) (+ (/ 1 (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4)))))) (/ (pow x 3) (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
(copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
(copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
(copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
(copysign (log (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) (* -1 (/ (pow x 3) (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))))) x)
(copysign.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/8 x) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/8 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/8 (* -1/20 x))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 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 x))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 #s(literal 2 binary64) x))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))) (/ 4/3 (pow x 3)))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4/3 binary64) (.f64 x x))) 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 x)) (* 2 (/ 1 (pow x 4)))))) (/ 4/3 (pow x 3)))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4/3 binary64) (.f64 x x))) x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(+ (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 x))))
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) 2) x))))
(+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 x x))) x)))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) (+ 2 (/ 2 (pow x 3)))) x))))
(+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4/3 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(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)
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #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))
(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)))

eval367.0ms (4.1%)

Compiler: Compiled 104167 to 6947 computations (93.3% saved)

prune284.0ms (3.2%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	2151	6	2157
Fresh	4	3	7
Picked	3	2	5
Done	0	3	3
Total	2158	14	2172

Accuracy

100.0%

Counts

2172 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.3%	(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
	47.7%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
▶	47.8%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
✓	51.6%	(copysign.f64 (log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fabs.f64 x))) x)
✓	61.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	28.0%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
	27.8%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
▶	17.1%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
✓	58.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
▶	28.0%	(copysign.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))) x)
	9.3%	(copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) x) (.f64 x (.f64 x x)))))) x)
▶	9.8%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	9.7%	(copysign.f64 (log.f64 x) x)
▶	48.5%	(copysign.f64 x x)

Compiler

Compiled 292 to 185 computations (36.6% saved)

simplify156.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f64 (*.f64 x (fabs.f64 x)) x)
✓	cost-diff	256	(-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)
✓	cost-diff	256	(log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x))
✓	cost-diff	256	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
✓	cost-diff	128	(log.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
✓	cost-diff	128	(copysign.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))) x)
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	-64	(log.f64 (neg.f64 x))
✓	cost-diff	-64	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	cost-diff	0	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
✓	cost-diff	0	(copysign.f64 x x)

Rules

3132×	`fnmadd-define`
1598×	`fmsub-define`
1530×	`-lowering-.f32`
1530×	`-lowering-.f64`
1490×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	153
1	60	144
2	115	123
3	275	123
4	428	123
5	710	123
6	1929	123
7	6089	123
0	8360	123

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize135.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (fabs.f64 x))
✓	accuracy	100.0%	(log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	90.2%	(/.f64 (*.f64 x (fabs.f64 x)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
✓	accuracy	99.9%	(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
✓	accuracy	84.1%	(log.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(log.f64 (neg.f64 x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	100.0%	(copysign.f64 x x)

Results

81.0ms	192×	0	invalid
21.0ms	64×	0	valid

Compiler

Compiled 155 to 28 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 37.0ms (51.1% of total)

ival-copysign: 10.0ms (13.8% of total)

ival-log: 7.0ms (9.7% of total)

ival-div: 6.0ms (8.3% of total)

ival-add: 4.0ms (5.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (5.5% of total)

ival-fabs: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

series17.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (copysign x x)>
#<alt (copysign (* x (+ 1 (* x (* x -1/6)))) x)>
#<alt (* x (+ 1 (* x (* x -1/6))))>
#<alt (+ 1 (* x (* x -1/6)))>
#<alt (* x (* x -1/6))>
#<alt (copysign (log (neg x)) x)>
#<alt (log (neg x))>
#<alt (neg x)>
#<alt (copysign (log (* (/ 1 x) (+ 1/2 (/ -1/8 (* x x))))) x)>
#<alt (log (* (/ 1 x) (+ 1/2 (/ -1/8 (* x x)))))>
#<alt (* (/ 1 x) (+ 1/2 (/ -1/8 (* x x))))>
#<alt (/ 1 x)>
#<alt (copysign (log (- (/ (* x (fabs x)) x) x)) x)>
#<alt (log (- (/ (* x (fabs x)) x) x))>
#<alt (- (/ (* x (fabs x)) x) x)>
#<alt (/ (* x (fabs x)) x)>
#<alt (* x -1/6)>
#<alt (/ -1/8 (* x x))>
#<alt (* x x)>
#<alt (fabs x)>
#<alt (* x (fabs x))>

Outputs
#<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 (* x (+ 1 (* -1/6 (pow x 2)))) x)>
#<alt (copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)>
#<alt (copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)>
#<alt (copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (- (+ (log -1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (* -1 (/ x (fabs x))))>
#<alt (+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (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 (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>

Calls

63 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(copysign (* x (+ 1 (* x (* x -1/6)))) x)
0.0ms	x	@	-inf	(* x (fabs x))
0.0ms	x	@	0	(* x (+ 1 (* x (* x -1/6))))
0.0ms	x	@	inf	(log (- (/ (* x (fabs x)) x) x))
0.0ms	x	@	inf	(* x (+ 1 (* x (* x -1/6))))

rewrite312.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3486×	`/-lowering-/.f32`
3486×	`/-lowering-/.f64`
3454×	`-lowering-.f32`
3454×	`-lowering-.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	136
1	122	122
2	1038	103
0	8829	103

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 599

Calls

Call 1

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

Outputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))) x)
(+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (+.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))))) (+.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))) (neg.f64 (+.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 x (fabs.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (.f64 (.f64 x (fabs.f64 x)) x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 x (fabs.f64 x)) x) x)
(/.f64 (neg.f64 (.f64 (.f64 x (fabs.f64 x)) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (fabs.f64 x)) x))) x)
(*.f64 x (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x (fabs.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fabs.f64 x)))))
(.f64 (.f64 x (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) x)
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (fabs.f64 x))))
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (/.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 x (fabs.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (.f64 (*.f64 x (fabs.f64 x)) x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 x (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))

simplify239.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2146×	`-lowering-.f32`
2146×	`-lowering-.f64`
1946×	`fma-lowering-fma.f32`
1946×	`fma-lowering-fma.f64`
1518×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	1572
1	450	1491
2	1341	1424
3	4564	1414
0	8279	1414

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(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 (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(copysign (log (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) x)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 1/2) (log (/ 1 x)))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(- (+ (log -1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (* -1 (/ x (fabs x))))
(+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))
(fabs x)
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(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)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))

Outputs
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign x x)
(copysign.f64 x x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+ 1 (* -1/6 (pow x 2)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+ 1 (* -1/6 (pow x 2)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 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)
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eval110.0ms (1.2%)

Compiler: Compiled 16449 to 2868 computations (82.6% saved)

prune85.0ms (0.9%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	848	3	851
Fresh	2	2	4
Picked	2	3	5
Done	1	4	5
Total	853	12	865

Accuracy

100.0%

Counts

865 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
	5.0%	(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
✓	61.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	28.0%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
	27.8%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
	29.6%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	58.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
✓	28.0%	(copysign.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))) x)
	9.3%	(copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) x) (.f64 x (.f64 x x)))))) x)
✓	9.8%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	9.7%	(copysign.f64 (log.f64 x) x)
✓	48.5%	(copysign.f64 x x)

Compiler

Compiled 759 to 253 computations (66.7% saved)

regimes24.0ms (0.3%)

Counts

34 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign.f64 (log.f64 (.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 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) 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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) 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 (fabs.f64 x) x)) x)

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

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

Calls

2 calls:

11.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
9.0ms	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)

regimes14.0ms (0.2%)

Counts

28 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign.f64 (log.f64 (.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 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) 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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) x)

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

27 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign.f64 (log.f64 (.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 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) 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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts

26 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign.f64 (log.f64 (.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 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) 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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
(copysign.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign.f64 (log.f64 (.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 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) 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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
79.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x)
(copysign.f64 (log.f64 (.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 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) 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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #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 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) x)

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
81.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
80.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)

Outputs

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

(copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)
(copysign.f64 (log.f64 x) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -28.0b remaining (-85%)

Threshold costs -28b (-85%)

Counts

5 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x)
(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x)

Outputs
(copysign.f64 x x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.273905087707265e-7	1.4050443942415753
0.0ms	-19.17744641355217	-7.888489314220376e-6

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.2739050884103616e-7	1.9151757556960365
20.0ms	-106568575.04021883	-7.888489314533524e-6

Results

26.0ms

304×

valid

Compiler

Compiled 615 to 386 computations (37.2% saved)

Precisions

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

ival-add: 5.0ms (27.2% of total)

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

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

ival-copysign: 2.0ms (10.9% 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)

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.2739050884103616e-7	1.9151757556960365
18.0ms	-106568575.04021883	-7.888489314533524e-6

Results

31.0ms

304×

valid

Compiler

Compiled 525 to 341 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-fabs: 9.0ms (38.2% of total)

ival-add: 3.0ms (12.7% of total)

ival-log: 3.0ms (12.7% of total)

ival-copysign: 2.0ms (8.5% of total)

ival-mult: 2.0ms (8.5% of total)

ival-sqrt: 2.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

bsearch74.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.2739050884103616e-7	1.9151757556960365
54.0ms	-106568575.04021883	-7.888489314533524e-6

Results

60.0ms

304×

valid

Compiler

Compiled 480 to 314 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-copysign: 39.0ms (74.5% of total)

ival-add: 3.0ms (5.7% of total)

ival-log: 3.0ms (5.7% of total)

ival-mult: 3.0ms (5.7% of total)

ival-fabs: 2.0ms (3.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.2739050884103616e-7	1.9151757556960365

Results

15.0ms

144×

valid

Compiler

Compiled 206 to 147 computations (28.6% saved)

Precisions

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

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

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

ival-copysign: 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)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.2739050884103616e-7	1.9151757556960365
21.0ms	-106568575.04021883	-7.888489314533524e-6

Results

31.0ms

304×

valid

Compiler

Compiled 460 to 304 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log: 6.0ms (26% of total)

ival-fabs: 6.0ms (26% of total)

ival-add: 3.0ms (13% of total)

ival-copysign: 2.0ms (8.7% of total)

ival-mult: 2.0ms (8.7% of total)

ival-sqrt: 2.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.2739050884103616e-7	1.9151757556960365
18.0ms	-106568575.04021883	-7.888489314533524e-6

Results

27.0ms

304×

valid

Compiler

Compiled 406 to 268 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-copysign: 6.0ms (30.2% of total)

ival-add: 3.0ms (15.1% of total)

ival-log: 3.0ms (15.1% of total)

ival-mult: 3.0ms (15.1% of total)

ival-fabs: 2.0ms (10.1% of total)

ival-sqrt: 2.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.9151757556960365	264.8127655585612
22.0ms	-106568575.04021883	-7.888489314533524e-6

Results

21.0ms

272×

valid

Compiler

Compiled 486 to 345 computations (29% saved)

Precisions

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

ival-add: 3.0ms (20.6% of total)

ival-log: 3.0ms (20.6% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.9151757556960365	264.8127655585612

Results

12.0ms

112×

valid

Compiler

Compiled 94 to 61 computations (35.1% saved)

Precisions

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

ival-fabs: 5.0ms (51.1% of total)

ival-copysign: 1.0ms (10.2% of total)

ival-add: 1.0ms (10.2% of total)

ival-log: 1.0ms (10.2% of total)

ival-mult: 1.0ms (10.2% of total)

ival-sqrt: 1.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
24×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	328
1	134	328
2	137	328
3	138	328

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 (fabs.f64 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 944473296573929/2361183241434822606848 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -2 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 3 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x) (copysign.f64 (log.f64 x) x)))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 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 944473296573929/2361183241434822606848 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 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 944473296573929/2361183241434822606848 binary64)) (copysign.f64 (+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (copysign.f64 (+.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (copysign.f64 (+.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (+.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) x))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) x) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (+.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))) x) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)) x)))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -2 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 3 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x) (copysign.f64 (log.f64 x) x)))
(if (<=.f64 x #s(literal -2 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (if (<=.f64 x #s(literal 3 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))))))))) x) (copysign.f64 (log.f64 x) x)))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

soundness2.4s (26.8%)

Rules

5100×	`-lowering-.f32`
5100×	`-lowering-.f64`
4774×	`-lowering-.f32`
4774×	`-lowering-.f64`
3786×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	356
1	241	301
2	2509	289
0	10895	289
0	9	11
1	14	9
2	15	9
3	16	9
0	16	9
0	147	576
1	447	501
2	1531	489
3	5703	487
0	8709	487
0	305	3467
1	855	2931
2	2515	2831
0	8247	2831
0	228	1975
1	647	1881
2	1963	1831
3	6526	1831
0	8230	1831
0	30	183
1	174	160
2	2193	146
0	9006	146
0	27	136
1	122	122
2	1038	103
0	8829	103

Stop Event

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

Compiler

Compiled 1091 to 615 computations (43.6% saved)

preprocess87.0ms (1%)

Compiler: Compiled 732 to 246 computations (66.4% saved)

analyze0.0ms (0%)

sample396.0ms (4.4%)

preprocess14.0ms (0.2%)

explain170.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize143.0ms (1.6%)

series4.0ms (0%)

rewrite325.0ms (3.6%)

simplify230.0ms (2.6%)

eval33.0ms (0.4%)

prune42.0ms (0.5%)

simplify282.0ms (3.1%)

localize173.0ms (1.9%)

series171.0ms (1.9%)

rewrite367.0ms (4.1%)

simplify320.0ms (3.6%)

eval111.0ms (1.2%)

prune101.0ms (1.1%)

simplify217.0ms (2.4%)

localize344.0ms (3.8%)

series39.0ms (0.4%)

rewrite467.0ms (5.2%)

simplify397.0ms (4.4%)

eval367.0ms (4.1%)

prune284.0ms (3.2%)

simplify156.0ms (1.7%)

localize135.0ms (1.5%)

series17.0ms (0.2%)

rewrite312.0ms (3.5%)

simplify239.0ms (2.7%)

eval110.0ms (1.2%)

prune85.0ms (0.9%)

regimes24.0ms (0.3%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch43.0ms (0.5%)

bsearch45.0ms (0.5%)

bsearch74.0ms (0.8%)

bsearch22.0ms (0.2%)

bsearch44.0ms (0.5%)

bsearch41.0ms (0.5%)

bsearch37.0ms (0.4%)

bsearch17.0ms (0.2%)

simplify12.0ms (0.1%)

soundness2.4s (26.8%)

preprocess87.0ms (1%)

end0.0ms (0%)

Profiling