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)

sample427.0ms (5.6%)

Results

289.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-asinh: 81.0ms (89% of total)

const: 7.0ms (7.7% of total)

backward-pass: 3.0ms (3.3% of total)

Bogosity

preprocess13.0ms (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)))

explain224.0ms (2.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
57	-	-	`(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

105.0ms	154×	2	valid
34.0ms	106×	1	valid
25.0ms	252×	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: 71.0ms (55.7% of total)

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

ival-copysign: 10.0ms (7.8% of total)

ival-mult: 10.0ms (7.8% of total)

backward-pass: 8.0ms (6.3% of total)

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

ival-fabs: 6.0ms (4.7% 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
▶	52.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify5.0ms (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)

localize125.0ms (1.6%)

Localize:

Found 4 expressions of interest:

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

Results

95.0ms	130×	5	exit
15.0ms	126×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

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

ival-log: 42.0ms (44.7% of total)

compiled-spec: 14.0ms (14.9% of total)

backward-pass: 11.0ms (11.7% of total)

ival-fabs: 7.0ms (7.5% of total)

ival-mult: 6.0ms (6.4% of total)

ival-copysign: 5.0ms (5.3% of total)

ival-add: 5.0ms (5.3% of total)

ival-sqrt: 3.0ms (3.2% of total)

const: 1.0ms (1.1% 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)

rewrite301.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify289.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval20.0ms (0.3%)

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

prune28.0ms (0.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	147	13	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	13	161

Accuracy

100.0%

Counts

161 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(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)
	53.1%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
▶	8.9%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
▶	66.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	15.7%	(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)
	9.2%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
▶	3.6%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
▶	9.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) x)
	18.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	25.6%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
	24.8%	(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)
▶	8.5%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 364 to 230 computations (36.8% saved)

simplify30.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

268×	`fma-define`
216×	`fma-lowering-fma.f32`
216×	`fma-lowering-fma.f64`
144×	`sum3-define`
112×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	173
1	55	163
2	120	155
3	288	155
4	421	155
5	456	155
0	456	155

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize224.0ms (2.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	74.7%	(log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	74.7%	(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

62.0ms	43×	2	valid
55.0ms	187×	0	invalid
27.0ms	26×	1	valid

Compiler

Compiled 196 to 27 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-log: 45.0ms (37.4% of total)

compiled-spec: 18.0ms (15% of total)

ival-copysign: 15.0ms (12.5% of total)

ival-add: 14.0ms (11.7% of total)

ival-mult: 12.0ms (10% of total)

backward-pass: 8.0ms (6.7% of total)

ival-div: 4.0ms (3.3% of total)

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

const: 1.0ms (0.8% of total)

series159.0ms (2.1%)

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(log (+ 1 (fabs x)))
31.0ms	x	@	0	(log (+ 1 (fabs x)))
29.0ms	x	@	-inf	(log x)
22.0ms	x	@	inf	(log (+ 1 (fabs x)))
13.0ms	x	@	inf	(log x)

rewrite372.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3438×	`-lowering-.f32`
3438×	`-lowering-.f64`
2942×	`/-lowering-/.f32`
2942×	`/-lowering-/.f64`
2204×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	129
1	144	122
2	1415	113
0	8935	113

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 405

Calls

Call 1

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

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

simplify247.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
3122×	`+-lowering-+.f64`
3122×	`+-lowering-+.f32`
1430×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	1962
1	503	1725
2	1736	1687
3	6059	1680
0	8541	1680

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

Outputs
(copysign (log (+ 1 (fabs x))) 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)
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(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 (+.f64 #s(literal -64/3 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -32 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x))))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)) (+.f64 (log.f64 #s(literal -1/8 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal -1/8 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x)))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)) (+.f64 (+.f64 (/.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 (+.f64 #s(literal -64/3 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -32 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (log.f64 #s(literal -1/8 binary64))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))

eval94.0ms (1.2%)

Compiler: Compiled 18561 to 2307 computations (87.6% saved)

prune93.0ms (1.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	726	4	730
Fresh	2	6	8
Picked	3	2	5
Done	0	0	0
Total	731	12	743

Accuracy

100.0%

Counts

743 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.4%	(copysign.f64 (/.f64 (fabs.f64 x) x) x)
	8.9%	(copysign.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (log.f64 x)) x)
▶	56.8%	(copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))) x)
	51.2%	(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
✓	66.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	15.7%	(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)
▶	9.2%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
▶	18.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
▶	25.6%	(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
	24.8%	(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)
✓	8.5%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 249 to 163 computations (34.5% saved)

simplify404.0ms (5.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1766×	`-lowering-.f32`
1766×	`-lowering-.f64`
1634×	`/-lowering-/.f32`
1634×	`/-lowering-/.f64`
1340×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	186
1	58	165
2	104	146
3	256	143
4	584	143
5	1309	143
6	5111	143
0	8350	143

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize128.0ms (1.7%)

Localize:

Found 19 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 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
✓	accuracy	100.0%	(log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(log.f64 (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(.f64 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))) (fabs.f64 x)))
✓	accuracy	100.0%	(fabs.f64 x)

Results

87.0ms

256×

invalid

Compiler

Compiled 190 to 30 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-log: 17.0ms (25.4% of total)

ival-add: 12.0ms (18% of total)

ival-copysign: 10.0ms (15% of total)

compiled-spec: 8.0ms (12% of total)

ival-mult: 7.0ms (10.5% of total)

ival-div: 6.0ms (9% of total)

ival-fabs: 3.0ms (4.5% of total)

ival-sub: 2.0ms (3% of total)

const: 1.0ms (1.5% of total)

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

series35.0ms (0.5%)

Counts

22 → 264

Calls

Call 1

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

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

66 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(log (- 0 x))
8.0ms	x	@	inf	(log (- 0 x))
0.0ms	x	@	0	(log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x))
0.0ms	x	@	-inf	(* (+ (fabs x) (/ -1/2 x)) x)
0.0ms	x	@	inf	(log (- (/ (* (+ (fabs x) (/ -1/2 x)) x) x) x))

rewrite148.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`-lowering-.f32`
664×	`-lowering-.f64`
650×	`/-lowering-/.f32`
650×	`/-lowering-/.f64`
412×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	159
1	152	138
0	1511	138

Stop Event

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

Counts

22 → 197

Calls

Call 1

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

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

simplify243.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3966×	`-lowering-.f32`
3966×	`-lowering-.f64`
2316×	`+-lowering-+.f64`
2316×	`+-lowering-+.f32`
1062×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	1992
1	760	1829
2	2588	1696
3	7984	1696
0	8009	1696

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

eval72.0ms (0.9%)

Compiler: Compiled 7721 to 1231 computations (84.1% saved)

prune52.0ms (0.7%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	515	6	521
Fresh	2	3	5
Picked	3	2	5
Done	0	2	2
Total	520	13	533

Accuracy

100.0%

Counts

533 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.4%	(copysign.f64 (/.f64 (fabs.f64 x) x) x)
✓	56.8%	(copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))) x)
▶	51.2%	(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
	9.1%	(copysign.f64 (log1p.f64 (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)
✓	66.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	26.9%	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
▶	27.7%	(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)
✓	18.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
▶	25.6%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
	24.8%	(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)
▶	9.2%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	8.5%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 217 to 141 computations (35% saved)

simplify209.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2792×	`sum5-define`
1750×	`sum4-define`
1616×	`fmsub-define`
1584×	`fnmsub-define`
1582×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	150
1	56	142
2	138	142
3	289	142
4	501	142
5	896	142
6	1537	142
7	2806	142
8	3445	142
9	4948	142
10	7301	142
11	7419	142
0	8499	142

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize115.0ms (1.5%)

Localize:

Found 18 expressions of interest:

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

Results

68.0ms

256×

invalid

Compiler

Compiled 163 to 26 computations (84% saved)

Precisions

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

ival-copysign: 10.0ms (22.1% of total)

ival-log: 9.0ms (19.9% of total)

ival-add: 6.0ms (13.3% of total)

ival-mult: 6.0ms (13.3% of total)

compiled-spec: 5.0ms (11.1% of total)

ival-div: 4.0ms (8.9% of total)

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

ival-sub: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

series7.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite419.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3404×	`-lowering-.f32`
3404×	`-lowering-.f64`
2818×	`/-lowering-/.f32`
2818×	`/-lowering-/.f64`
2348×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	118
1	138	112
2	1309	112
0	8449	112

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 317

Calls

Call 1

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

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

simplify276.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3708×	`+-lowering-+.f64`
3708×	`+-lowering-+.f32`
3328×	`-lowering-.f32`
3328×	`-lowering-.f64`
1596×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	1877
1	884	1674
2	3009	1601
0	8394	1601

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

Outputs
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(log (+ 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 #s(literal 1 binary64) (fabs.f64 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/720 binary64) (.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))))))))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) (/.f64 #s(literal -4 binary64) (.f64 x x))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) (+.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 #s(literal 4 binary64) (log.f64 x))) (+.f64 (/.f64 (.f64 #s(literal 1/720 binary64) (+.f64 (.f64 (fabs.f64 x) #s(literal -23040 binary64)) #s(literal -38400 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1/720 binary64) (+.f64 (.f64 (fabs.f64 x) #s(literal -23040 binary64)) #s(literal -38400 binary64))) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))))
(* -1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
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(/ (fabs x) x)
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(copysign (log (+ x (fabs x))) x)
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(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
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(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)
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(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)
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(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))) x) (+.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)))
(/ -1/2 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 x))) 1/2) x)
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
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(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 x)
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(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
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(/ -1/2 x)
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(/ (- (* x (fabs x)) 1/2) x)
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(fabs x)
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(- (fabs x) (* 1/2 (/ 1 x)))
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(- (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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))

eval124.0ms (1.6%)

Compiler: Compiled 25970 to 1972 computations (92.4% saved)

prune63.0ms (0.8%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	639	3	642
Fresh	0	4	4
Picked	1	4	5
Done	2	2	4
Total	642	13	655

Accuracy

100.0%

Counts

655 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.4%	(copysign.f64 (/.f64 (fabs.f64 x) x) x)
	9.4%	(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
	11.3%	(copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))) x)
	11.3%	(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))))))) x)
	9.1%	(copysign.f64 (log1p.f64 (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)
✓	66.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	26.9%	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
✓	27.7%	(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)
✓	25.6%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
	24.8%	(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)
✓	9.2%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	8.5%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 730 to 229 computations (68.6% saved)

regimes21.0ms (0.3%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
8.0ms	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)

regimes9.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.2%)

Counts

21 → 3

Calls

Call 1

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

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))) (fabs.f64 x))) x)

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
83.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
44.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
35.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
17.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
8.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.215383680465535e-12	10.698525192646356
0.0ms	-11.287993298908383	-7.768394366505617e-5

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch54.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.215468592301559e-12	22145.243490470817
20.0ms	-39928.51934855787	-7.768394374322041e-5

Results

27.0ms

304×

valid

Compiler

Compiled 571 to 394 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log: 7.0ms (36.5% of total)

ival-add: 3.0ms (15.6% of total)

ival-copysign: 2.0ms (10.4% of total)

ival-fabs: 2.0ms (10.4% of total)

ival-mult: 2.0ms (10.4% of total)

ival-sqrt: 2.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

bsearch58.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.215468592301559e-12	22145.243490470817
25.0ms	-39928.51934855787	-7.768394374322041e-5

Results

32.0ms

304×

valid

Compiler

Compiled 471 to 324 computations (31.2% saved)

Precisions

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

ival-copysign: 3.0ms (18.8% of total)

ival-add: 3.0ms (18.8% of total)

ival-log: 3.0ms (18.8% of total)

ival-mult: 3.0ms (18.8% of total)

ival-fabs: 2.0ms (12.5% of total)

ival-sqrt: 2.0ms (12.5% of total)

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	5.215468592301559e-12	22145.243490470817
16.0ms	-39928.51934855787	-7.768394374322041e-5

Results

32.0ms

304×

valid

Compiler

Compiled 357 to 248 computations (30.5% saved)

Precisions

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

ival-add: 11.0ms (45.9% of total)

ival-log: 3.0ms (12.5% of total)

ival-copysign: 2.0ms (8.3% of total)

ival-fabs: 2.0ms (8.3% of total)

ival-mult: 2.0ms (8.3% of total)

ival-sqrt: 2.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.215468592301559e-12	22145.243490470817
18.0ms	-39928.51934855787	-7.768394374322041e-5

Results

27.0ms

304×

valid

Compiler

Compiled 321 to 221 computations (31.2% saved)

Precisions

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

ival-fabs: 4.0ms (22.1% of total)

ival-add: 3.0ms (16.6% of total)

ival-log: 3.0ms (16.6% of total)

ival-mult: 3.0ms (16.6% of total)

ival-copysign: 2.0ms (11.1% of total)

ival-sqrt: 2.0ms (11.1% of total)

const: 0.0ms (0% of total)

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

bsearch61.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	5.215468592301559e-12	22145.243490470817
19.0ms	-39928.51934855787	-7.768394374322041e-5

Results

48.0ms

304×

valid

Compiler

Compiled 312 to 221 computations (29.2% saved)

Precisions

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

ival-add: 3.0ms (18.6% of total)

ival-log: 3.0ms (18.6% of total)

ival-mult: 3.0ms (18.6% of total)

ival-copysign: 2.0ms (12.4% of total)

ival-fabs: 2.0ms (12.4% of total)

ival-sqrt: 2.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-39928.51934855787	-7.768394374322041e-5

Results

11.0ms

144×

valid

Compiler

Compiled 152 to 111 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log: 2.0ms (25.6% of total)

ival-copysign: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

ival-fabs: 1.0ms (12.8% of total)

ival-mult: 1.0ms (12.8% of total)

ival-sqrt: 1.0ms (12.8% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.215468592301559e-12	22145.243490470817
18.0ms	-39928.51934855787	-7.768394374322041e-5

Results

27.0ms

304×

valid

Compiler

Compiled 1821 to 486 computations (73.3% saved)

Precisions

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

ival-log: 5.0ms (28.4% of total)

ival-add: 3.0ms (17% of total)

ival-mult: 3.0ms (17% of total)

ival-copysign: 2.0ms (11.4% of total)

ival-fabs: 2.0ms (11.4% of total)

ival-sqrt: 2.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

bsearch121.0ms (1.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
111.0ms	-1.7375640135035569e-304	2.5754556453137396e-300

Results

105.0ms

160×

valid

Compiler

Compiled 157 to 112 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-log: 42.0ms (45.3% of total)

backward-pass: 18.0ms (19.4% of total)

ival-mult: 13.0ms (14% of total)

ival-add: 6.0ms (6.5% of total)

ival-copysign: 5.0ms (5.4% of total)

ival-sqrt: 4.0ms (4.3% of total)

ival-fabs: 3.0ms (3.2% of total)

const: 0.0ms (0% of total)

bsearch95.0ms (1.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
91.0ms	-1.7375640135035569e-304	2.5754556453137396e-300

Results

84.0ms

160×

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-log: 38.0ms (53.7% of total)

backward-pass: 9.0ms (12.7% of total)

ival-add: 6.0ms (8.5% of total)

ival-sqrt: 5.0ms (7.1% of total)

ival-copysign: 5.0ms (7.1% of total)

ival-mult: 4.0ms (5.6% of total)

ival-fabs: 4.0ms (5.6% of total)

const: 0.0ms (0% of total)

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative_binary64`
40×	`*-commutative_binary64`
22×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	393
1	130	393
2	149	393
3	164	393
4	181	393
5	189	393
6	193	393
7	194	393

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -1 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))) (fabs.f64 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)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 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 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 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 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (copysign.f64 (log1p.f64 (fabs.f64 x)) x))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) (copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))) x) (copysign.f64 (log.f64 x) x)))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x) (copysign.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)))
(if (<=.f64 x #s(literal -1 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))) (fabs.f64 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)))
(if (<=.f64 x #s(literal -1 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 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) 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)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) (copysign.f64 (log1p.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 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 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 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 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (copysign.f64 (log1p.f64 (fabs.f64 x)) x))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) (copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))) x) (copysign.f64 (log.f64 x) x)))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) (copysign.f64 (log1p.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (.f64 x (*.f64 x x))))))) x) (copysign.f64 (log.f64 x) x)))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

soundness1.9s (25.2%)

Rules

4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
3966×	`-lowering-.f32`
3966×	`-lowering-.f64`
3786×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	159
1	152	138
0	1511	138
0	27	129
1	144	122
2	1415	113
0	8935	113
0	9	11
1	15	9
2	16	9
3	17	9
0	17	9
0	175	1962
1	503	1725
2	1736	1687
3	6059	1680
0	8541	1680
0	264	1992
1	760	1829
2	2588	1696
3	7984	1696
0	8009	1696
0	147	576
1	447	477
2	1534	465
3	5731	465
0	8739	465
0	27	118
1	138	112
2	1309	112
0	8449	112

Stop Event

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

Compiler

Compiled 1028 to 533 computations (48.2% saved)

preprocess133.0ms (1.7%)

Compiler: Compiled 858 to 230 computations (73.2% saved)

analyze0.0ms (0%)

sample427.0ms (5.6%)

preprocess13.0ms (0.2%)

explain224.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize125.0ms (1.6%)

series4.0ms (0%)

rewrite301.0ms (3.9%)

simplify289.0ms (3.8%)

eval20.0ms (0.3%)

prune28.0ms (0.4%)

simplify30.0ms (0.4%)

localize224.0ms (2.9%)

series159.0ms (2.1%)

rewrite372.0ms (4.9%)

simplify247.0ms (3.2%)

eval94.0ms (1.2%)

prune93.0ms (1.2%)

simplify404.0ms (5.3%)

localize128.0ms (1.7%)

series35.0ms (0.5%)

rewrite148.0ms (1.9%)

simplify243.0ms (3.2%)

eval72.0ms (0.9%)

prune52.0ms (0.7%)

simplify209.0ms (2.7%)

localize115.0ms (1.5%)

series7.0ms (0.1%)

rewrite419.0ms (5.5%)

simplify276.0ms (3.6%)

eval124.0ms (1.6%)

prune63.0ms (0.8%)

regimes21.0ms (0.3%)

regimes9.0ms (0.1%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch54.0ms (0.7%)

bsearch58.0ms (0.8%)

bsearch45.0ms (0.6%)

bsearch40.0ms (0.5%)

bsearch61.0ms (0.8%)

bsearch18.0ms (0.2%)

bsearch41.0ms (0.5%)

bsearch121.0ms (1.6%)

bsearch95.0ms (1.2%)

simplify28.0ms (0.4%)

soundness1.9s (25.2%)

preprocess133.0ms (1.7%)

end0.0ms (0%)

Profiling