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)

sample494.0ms (5.8%)

Results

335.0ms

8256×

valid

Precisions

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

ival-asinh: 89.0ms (89.8% of total)

const: 8.0ms (8.1% of total)

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

Bogosity

preprocess18.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain246.0ms (2.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
68	-	-	`(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

99.0ms	100×	2	valid
51.0ms	150×	1	valid
45.0ms	262×	0	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-log: 68.0ms (53.3% of total)

backward-pass: 15.0ms (11.8% of total)

ival-sqrt: 13.0ms (10.2% of total)

ival-add: 9.0ms (7.1% of total)

ival-copysign: 8.0ms (6.3% of total)

ival-fabs: 8.0ms (6.3% of total)

ival-mult: 7.0ms (5.5% of total)

const: 1.0ms (0.8% 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
▶	53.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	16	29
2	17	29
0	17	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize173.0ms (2%)

Localize:

Found 4 expressions of interest:

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

Results

141.0ms	127×	5	exit
16.0ms	129×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

compiled-spec: 38.0ms (31.9% of total)

ival-add: 28.0ms (23.5% of total)

ival-log: 19.0ms (15.9% of total)

backward-pass: 16.0ms (13.4% of total)

ival-mult: 6.0ms (5% of total)

ival-copysign: 5.0ms (4.2% of total)

ival-fabs: 4.0ms (3.4% of total)

ival-sqrt: 3.0ms (2.5% of total)

const: 1.0ms (0.8% 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	(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
0.0ms	x	@	-inf	(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)

rewrite260.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify253.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval21.0ms (0.2%)

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

prune29.0ms (0.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	146	14	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	14	161

Accuracy

100.0%

Counts

161 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
▶	9.5%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
	53.5%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
▶	65.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	15.4%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
	28.2%	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
	9.4%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
▶	8.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) x)
	18.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
▶	27.4%	(copysign.f64 (log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x)
	26.8%	(copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))) x)
	27.1%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
	26.5%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
▶	9.0%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 380 to 250 computations (34.2% saved)

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x))))
✓	cost-diff	0	(copysign.f64 (log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x)
✓	cost-diff	384	(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) x)
✓	cost-diff	128	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	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

1656×	`sum3-define`
1542×	`fma-lowering-fma.f32`
1542×	`fma-lowering-fma.f64`
1464×	`fmsub-define`
1424×	`fnmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	217
1	53	213
2	93	209
3	196	206
4	625	194
5	2140	194
6	5324	194
0	8072	194

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

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

localize260.0ms (3.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	97.8%	(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))
✓	accuracy	84.9%	(log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x))))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	77.0%	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(/.f64 (fabs.f64 x) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
✓	accuracy	100.0%	(copysign.f64 (log.f64 x) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)

Results

110.0ms	193×	0	invalid
49.0ms	26×	2	valid
38.0ms	36×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 239 to 31 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-log: 30.0ms (26.5% of total)

ival-copysign: 22.0ms (19.5% of total)

compiled-spec: 18.0ms (15.9% of total)

ival-add: 11.0ms (9.7% of total)

ival-div: 10.0ms (8.8% of total)

backward-pass: 9.0ms (8% of total)

ival-mult: 7.0ms (6.2% of total)

ival-sub: 3.0ms (2.7% of total)

ival-fabs: 3.0ms (2.7% of total)

const: 1.0ms (0.9% of total)

series149.0ms (1.8%)

Counts

19 → 228

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

Calls

57 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	(log x)
32.0ms	x	@	0	(log (+ 1 (fabs x)))
29.0ms	x	@	-inf	(log (+ 1 (fabs x)))
21.0ms	x	@	inf	(log (+ 1 (fabs x)))
12.0ms	x	@	0	(log x)

rewrite384.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4806×	`-lowering-.f32`
4806×	`-lowering-.f64`
2968×	`/-lowering-/.f32`
2968×	`/-lowering-/.f64`
2564×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	150
1	173	147
2	1752	130
0	9836	130

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 375

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

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

simplify322.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

3378×	`-lowering-.f32`
3378×	`-lowering-.f64`
2466×	`fma-lowering-fma.f32`
2466×	`fma-lowering-fma.f64`
2190×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	1995
1	642	1785
2	2064	1719
3	7057	1719
0	8119	1719

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

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

eval150.0ms (1.8%)

Compiler: Compiled 18009 to 2776 computations (84.6% saved)

prune81.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	801	7	808
Fresh	3	6	9
Picked	5	0	5
Done	0	0	0
Total	809	13	822

Accuracy

100.0%

Counts

822 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.5%	(copysign.f64 (+.f64 (/.f64 x x) (log.f64 x)) x)
	34.1%	(copysign.f64 (log1p.f64 (/.f64 (*.f64 x x) x)) x)
	54.9%	(copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x)
▶	56.9%	(copysign.f64 (log1p.f64 x) x)
	8.6%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))) x)
	15.4%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
	28.2%	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
	9.4%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
▶	10.7%	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
	26.8%	(copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))) x)
▶	27.1%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
▶	26.5%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
	27.4%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x)

Compiler

Compiled 346 to 218 computations (37% saved)

simplify266.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3798×	`-lowering-.f32`
3798×	`-lowering-.f64`
2498×	`/-lowering-/.f32`
2498×	`/-lowering-/.f64`
2092×	`fma-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	152
1	48	148
2	86	130
3	203	127
4	362	121
5	582	121
6	1141	120
7	2411	120
8	3039	120
9	4051	120
10	5241	120
11	7692	120
0	8482	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize300.0ms (3.5%)

Localize:

Found 17 expressions of interest:

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

Results

158.0ms	62×	5	exit
59.0ms	130×	0	invalid
25.0ms	64×	0	valid

Compiler

Compiled 171 to 26 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-log: 50.0ms (39.6% of total)

backward-pass: 23.0ms (18.2% of total)

ival-add: 16.0ms (12.7% of total)

ival-copysign: 14.0ms (11.1% of total)

ival-div: 7.0ms (5.5% of total)

ival-mult: 7.0ms (5.5% of total)

compiled-spec: 6.0ms (4.7% of total)

ival-fabs: 2.0ms (1.6% of total)

const: 1.0ms (0.8% of total)

series8.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite375.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4040×	`/-lowering-/.f32`
4040×	`/-lowering-/.f64`
2678×	`-lowering-.f32`
2678×	`-lowering-.f64`
2006×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	120
1	135	115
2	1376	99
0	8387	99

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 482

Calls

Call 1

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

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

simplify229.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4162×	`-lowering-.f32`
4162×	`-lowering-.f64`
1644×	`+-lowering-+.f64`
1644×	`+-lowering-+.f32`
1620×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	1758
1	695	1562
2	2120	1373
0	8009	1373

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval117.0ms (1.4%)

Compiler: Compiled 15423 to 2784 computations (81.9% saved)

prune77.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	753	3	756
Fresh	1	7	8
Picked	4	1	5
Done	0	0	0
Total	758	11	769

Accuracy

100.0%

Counts

769 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x)
✓	56.9%	(copysign.f64 (log1p.f64 x) x)
	8.6%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))) x)
▶	25.8%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
▶	15.4%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x) x)) x)
	28.2%	(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
	9.4%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
▶	26.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)))) x)
	26.8%	(copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))) x)
	27.4%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x)
▶	52.3%	(copysign.f64 x x)

Compiler

Compiled 277 to 175 computations (36.8% saved)

simplify210.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1924×	`-lowering-.f32`
1924×	`-lowering-.f64`
1766×	`fma-lowering-fma.f32`
1766×	`fma-lowering-fma.f64`
1492×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	167
1	48	147
2	94	140
3	152	137
4	273	137
5	563	137
6	2169	137
7	7134	137
0	8510	137

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize202.0ms (2.4%)

Localize:

Found 16 expressions of interest:

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

Results

74.0ms	194×	0	invalid
62.0ms	62×	1	invalid

Compiler

Compiled 168 to 25 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-log: 19.0ms (24.4% of total)

ival-copysign: 15.0ms (19.3% of total)

ival-add: 10.0ms (12.8% of total)

compiled-spec: 10.0ms (12.8% of total)

ival-div: 8.0ms (10.3% of total)

ival-mult: 7.0ms (9% of total)

backward-pass: 5.0ms (6.4% of total)

ival-sub: 2.0ms (2.6% of total)

const: 1.0ms (1.3% of total)

ival-fabs: 1.0ms (1.3% of total)

series57.0ms (0.7%)

Counts

19 → 228

Calls

Call 1

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

Outputs
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)>
#<alt (copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/8 x) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (+ 1/8 (* -1/20 x))) 1/6))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))) (/ 4/3 (pow x 3)))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 4)))))) (/ 4/3 (pow x 3)))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) 2) x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) (+ 2 (/ 2 (pow x 3)))) x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* x (fabs x))) x)>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* x (fabs x))) x)>
#<alt (/ (+ 1/2 (* x (fabs x))) x)>
#<alt (/ (+ 1/2 (* x (fabs x))) x)>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (/ 1 x)))>
#<alt (+ (fabs x) (* 1/2 (/ 1 x)))>
#<alt (+ (fabs x) (* 1/2 (/ 1 x)))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (/ 1 x)))>
#<alt (+ (fabs x) (* 1/2 (/ 1 x)))>
#<alt (+ (fabs x) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt -1/2>
#<alt (- (* x (fabs x)) 1/2)>
#<alt (- (* x (fabs x)) 1/2)>
#<alt (- (* x (fabs x)) 1/2)>
#<alt (* x (fabs x))>
#<alt (* x (- (fabs x) (* 1/2 (/ 1 x))))>
#<alt (* x (- (fabs x) (* 1/2 (/ 1 x))))>
#<alt (* x (- (fabs x) (* 1/2 (/ 1 x))))>
#<alt (* x (fabs x))>
#<alt (* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (* 1/2 x)>
#<alt (* 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 (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>

Calls

57 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	(log (/ 1/2 x))
13.0ms	x	@	0	(log (/ 1/2 x))
13.0ms	x	@	-inf	(log (/ 1/2 x))
1.0ms	x	@	inf	(log (+ 1 (+ (* x (* x 1/2)) x)))
0.0ms	x	@	0	(log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x))

rewrite445.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3498×	`/-lowering-/.f32`
3498×	`/-lowering-/.f64`
3236×	`-lowering-.f32`
3236×	`-lowering-.f64`
1694×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	134
1	134	119
2	1338	119
0	8261	119

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 306

Calls

Call 1

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

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

simplify305.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4640×	`-lowering-.f32`
4640×	`-lowering-.f64`
2836×	`+-lowering-+.f64`
2836×	`+-lowering-+.f32`
1304×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	1821
1	784	1632
2	2544	1562
0	8334	1562

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ x (* 1/2 (pow x 2))))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)
(copysign (log (- (+ 1 (* 1/2 (pow x 2))) (* -1 x))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/8 x) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/8 (* -1/20 x))) 1/6))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))) (/ 4/3 (pow x 3)))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 4)))))) (/ 4/3 (pow x 3)))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) 2) x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 4/3 (/ 1 (pow x 2))) (+ 2 (/ 2 (pow x 3)))) x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))
(/ 1/2 x)
(/ (+ 1/2 (* x (fabs x))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(/ 1/2 x)
(/ (+ 1/2 (* x (fabs x))) x)
(/ (+ 1/2 (* x (fabs x))) x)
(/ (+ 1/2 (* x (fabs x))) x)
(fabs x)
(+ (fabs x) (* 1/2 (/ 1 x)))
(+ (fabs x) (* 1/2 (/ 1 x)))
(+ (fabs x) (* 1/2 (/ 1 x)))
(fabs x)
(+ (fabs x) (* 1/2 (/ 1 x)))
(+ (fabs x) (* 1/2 (/ 1 x)))
(+ (fabs x) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
-1/2
(- (* x (fabs x)) 1/2)
(- (* x (fabs x)) 1/2)
(- (* x (fabs x)) 1/2)
(* x (fabs x))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(* x (- (fabs x) (* 1/2 (/ 1 x))))
(* x (fabs x))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1 (fabs x)) (* 1/2 (/ 1 x)))))
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* 1/2 x)
(* 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)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))

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

eval77.0ms (0.9%)

Compiler: Compiled 20375 to 1774 computations (91.3% saved)

prune59.0ms (0.7%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	576	5	581
Fresh	1	4	5
Picked	2	3	5
Done	0	1	1
Total	579	13	592

Accuracy

100.0%

Counts

592 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.6%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
✓	54.9%	(copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x)
✓	56.9%	(copysign.f64 (log1p.f64 x) x)
	8.6%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))) x)
✓	25.8%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
	9.4%	(copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x)
	27.9%	(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
	28.2%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	9.4%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
	8.4%	(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 x #s(literal 1/2 binary64)))))) x)) x)
	26.8%	(copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))) x)
	27.4%	(copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x)
✓	52.3%	(copysign.f64 x x)

Compiler

Compiled 555 to 251 computations (54.8% saved)

regimes21.0ms (0.2%)

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

10.0ms	(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)

regimes22.0ms (0.3%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
100.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

15 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
87.4%	4	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.1%	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 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
58.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
58.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.5b remaining (-1.6%)

Threshold costs -0.5b (-1.6%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(copysign.f64 x x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
52.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.5530702493248825e-8	7.542306414774847
0.0ms	-7.731433709964337	-4.2103990401121804e-7

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch73.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	5.553070242342735e-8	943.0873923284815
21.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

55.0ms

304×

valid

Compiler

Compiled 582 to 398 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add: 32.0ms (71% of total)

ival-log: 3.0ms (6.7% of total)

ival-mult: 3.0ms (6.7% of total)

ival-copysign: 2.0ms (4.4% of total)

ival-fabs: 2.0ms (4.4% of total)

ival-sqrt: 2.0ms (4.4% of total)

const: 0.0ms (0% of total)

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

bsearch56.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.553070242342735e-8	943.0873923284815
29.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

27.0ms

304×

valid

Compiler

Compiled 492 to 335 computations (31.9% saved)

Precisions

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

ival-mult: 4.0ms (22.5% of total)

ival-add: 3.0ms (16.9% of total)

ival-log: 3.0ms (16.9% of total)

ival-copysign: 2.0ms (11.3% of total)

ival-fabs: 2.0ms (11.3% of total)

ival-sqrt: 2.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.553070242342735e-8	943.0873923284815
19.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

29.0ms

304×

valid

Compiler

Compiled 456 to 308 computations (32.5% saved)

Precisions

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

ival-copysign: 3.0ms (17.5% of total)

ival-add: 3.0ms (17.5% of total)

ival-log: 3.0ms (17.5% of total)

ival-fabs: 2.0ms (11.6% of total)

ival-mult: 2.0ms (11.6% of total)

ival-sqrt: 2.0ms (11.6% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.553070242342735e-8	943.0873923284815
19.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

29.0ms

304×

valid

Compiler

Compiled 406 to 278 computations (31.5% saved)

Precisions

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

ival-add: 4.0ms (20.2% of total)

ival-fabs: 4.0ms (20.2% of total)

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

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

ival-mult: 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)

bsearch60.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.553070242342735e-8	943.0873923284815
18.0ms	-1139.4333277093995	-4.2103990395837493e-7
17.0ms	-3.2410587292306473e+103	-1.9687627618585806e+100

Results

39.0ms

432×

valid

Compiler

Compiled 695 to 459 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 6.0ms (23.5% of total)

ival-log: 5.0ms (19.6% of total)

ival-copysign: 4.0ms (15.7% of total)

ival-mult: 4.0ms (15.7% of total)

ival-fabs: 3.0ms (11.8% of total)

ival-sqrt: 3.0ms (11.8% of total)

const: 1.0ms (3.9% of total)

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

bsearch52.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.553070242342735e-8	943.0873923284815
28.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

37.0ms

304×

valid

Compiler

Compiled 415 to 287 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 14.0ms (51.6% of total)

ival-log: 3.0ms (11.1% of total)

ival-copysign: 2.0ms (7.4% of total)

ival-fabs: 2.0ms (7.4% of total)

ival-mult: 2.0ms (7.4% of total)

ival-sqrt: 2.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.553070242342735e-8	943.0873923284815
19.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

28.0ms

304×

valid

Compiler

Compiled 434 to 306 computations (29.5% saved)

Precisions

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

ival-log: 4.0ms (23.4% of total)

ival-copysign: 3.0ms (17.5% of total)

ival-add: 3.0ms (17.5% of total)

ival-mult: 3.0ms (17.5% of total)

ival-fabs: 2.0ms (11.7% of total)

ival-sqrt: 2.0ms (11.7% 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	5.553070242342735e-8	943.0873923284815
20.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

30.0ms

304×

valid

Compiler

Compiled 416 to 297 computations (28.6% saved)

Precisions

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

ival-add: 6.0ms (29.8% of total)

ival-log: 4.0ms (19.9% of total)

ival-copysign: 3.0ms (14.9% of total)

ival-mult: 3.0ms (14.9% of total)

ival-fabs: 2.0ms (9.9% of total)

ival-sqrt: 2.0ms (9.9% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

14.0ms

144×

valid

Compiler

Compiled 143 to 102 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 2.0ms (22.5% of total)

ival-mult: 2.0ms (22.5% of total)

ival-copysign: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

ival-fabs: 1.0ms (11.3% of total)

ival-sqrt: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	5.553070242342735e-8	943.0873923284815

Results

36.0ms

160×

valid

Compiler

Compiled 127 to 82 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log: 25.0ms (79.4% of total)

ival-add: 2.0ms (6.4% of total)

ival-copysign: 1.0ms (3.2% of total)

ival-fabs: 1.0ms (3.2% of total)

ival-mult: 1.0ms (3.2% of total)

ival-sqrt: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	5.553070242342735e-8	943.0873923284815

Results

17.0ms

160×

valid

Compiler

Compiled 127 to 82 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 5.0ms (42.7% of total)

ival-log: 2.0ms (17.1% of total)

ival-copysign: 1.0ms (8.5% of total)

ival-fabs: 1.0ms (8.5% of total)

ival-mult: 1.0ms (8.5% of total)

ival-sqrt: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative_binary64`
22×	`*-commutative_binary64`
8×	`sub-neg_binary64`
2×	`sub0-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	427
1	155	427
2	160	427
3	161	427

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 -5 binary64)) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))) x)))
(if (<=.f64 x #s(literal -3/4 binary64)) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)))) x)))
(if (<=.f64 x #s(literal -3512807709348987/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))) x) (if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))))
(if (<=.f64 x #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x) (if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -4278419646001971/2251799813685248 binary64)) (copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) 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 5674535530486825/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -1/2 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))) x)))
(if (<=.f64 x #s(literal -3/4 binary64)) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)))) x)))
(if (<=.f64 x #s(literal -3/4 binary64)) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) x)))) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 x #s(literal -3512807709348987/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)))) x)))
(if (<=.f64 x #s(literal -3512807709348987/4503599627370496 binary64)) (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))) x) (if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))))
(if (<=.f64 x #s(literal -5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))) x) (if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))))
(if (<=.f64 x #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x) (if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x) (if (<=.f64 x #s(literal 3/2 binary64)) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -4278419646001971/2251799813685248 binary64)) (copysign.f64 (log.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) 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 5674535530486825/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal -1/2 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

soundness2.0s (23.8%)

Rules

4806×	`-lowering-.f32`
4806×	`-lowering-.f64`
4640×	`-lowering-.f32`
4640×	`-lowering-.f64`
4162×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	150
1	173	147
2	1752	130
0	9836	130
0	236	1995
1	642	1785
2	2064	1719
3	7057	1719
0	8119	1719
0	147	576
1	447	477
2	1534	465
3	5731	465
0	8739	465
0	261	1821
1	784	1632
2	2544	1562
0	8334	1562
0	232	1758
1	695	1562
2	2120	1373
0	8009	1373
0	9	11
1	15	9
2	16	9
3	17	9
0	17	9

Stop Event

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

Compiler

Compiled 1267 to 705 computations (44.4% saved)

preprocess152.0ms (1.8%)

Compiler: Compiled 930 to 284 computations (69.5% saved)

analyze0.0ms (0%)

sample494.0ms (5.8%)

preprocess18.0ms (0.2%)

explain246.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize173.0ms (2%)

series4.0ms (0%)

rewrite260.0ms (3%)

simplify253.0ms (3%)

eval21.0ms (0.2%)

prune29.0ms (0.3%)

simplify146.0ms (1.7%)

localize260.0ms (3.1%)

series149.0ms (1.8%)

rewrite384.0ms (4.5%)

simplify322.0ms (3.8%)

eval150.0ms (1.8%)

prune81.0ms (1%)

simplify266.0ms (3.1%)

localize300.0ms (3.5%)

series8.0ms (0.1%)

rewrite375.0ms (4.4%)

simplify229.0ms (2.7%)

eval117.0ms (1.4%)

prune77.0ms (0.9%)

simplify210.0ms (2.5%)

localize202.0ms (2.4%)

series57.0ms (0.7%)

rewrite445.0ms (5.2%)

simplify305.0ms (3.6%)

eval77.0ms (0.9%)

prune59.0ms (0.7%)

regimes21.0ms (0.2%)

regimes22.0ms (0.3%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch73.0ms (0.9%)

bsearch56.0ms (0.7%)

bsearch43.0ms (0.5%)

bsearch43.0ms (0.5%)

bsearch60.0ms (0.7%)

bsearch52.0ms (0.6%)

bsearch42.0ms (0.5%)

bsearch44.0ms (0.5%)

bsearch20.0ms (0.2%)

bsearch44.0ms (0.5%)

bsearch24.0ms (0.3%)

simplify17.0ms (0.2%)

soundness2.0s (23.8%)

preprocess152.0ms (1.8%)

end0.0ms (0%)

Profiling