Metrics for Rust f32::asinh

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
100%	99.6%	0%	0.4%	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)

sample1.0s (11.3%)

Results

861.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 592.0ms

ival-asinh: 583.0ms (98.4% of total)

const: 7.0ms (1.2% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess12.0ms (0.1%)

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.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

Call 2

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

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

explain216.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
128	-	-	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
50	-	-	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	-	-	`x`
0	-	-	`(fabs.f32 x)`
0	-	-	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	-	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	-	`(*.f32 x x)`
0	-	-	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
0	-	-	`#s(literal 1 binary32)`

Results

89.0ms	370×	0	valid
49.0ms	142×	1	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-fabs: 26.0ms (40.1% of total)

ival-log: 12.0ms (18.5% of total)

ival-add: 7.0ms (10.8% of total)

ival-copysign: 5.0ms (7.7% of total)

ival-mult: 5.0ms (7.7% of total)

ival-sqrt: 5.0ms (7.7% of total)

backward-pass: 4.0ms (6.2% of total)

const: 1.0ms (1.5% 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
▶	60.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(fabs.f32 x)
✓	cost-diff	(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
✓	cost-diff	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
✓	cost-diff	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) 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.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(fabs x)
(fabs.f32 x)
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)

localize204.0ms (2.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
✓	accuracy	89.4%	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))

Results

113.0ms	171×	0	valid
77.0ms	85×	5	exit

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-log: 27.0ms (41.6% of total)

compiled-spec: 11.0ms (16.9% of total)

backward-pass: 10.0ms (15.4% of total)

ival-add: 4.0ms (6.2% of total)

ival-mult: 4.0ms (6.2% of total)

ival-sqrt: 3.0ms (4.6% of total)

ival-copysign: 3.0ms (4.6% of total)

ival-fabs: 3.0ms (4.6% of total)

const: 0.0ms (0% 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	@	0	(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
0.0ms	x	@	inf	(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))

rewrite119.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`sum5-define`
676×	`sum4-define`
468×	`sum3-define`
202×	`fma-define`
182×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	22	24
2	34	24
3	54	24
4	117	24
5	230	24
6	661	24
7	2134	24
8	2190	24
9	2232	24
10	2276	24
0	2451	24

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

4 → 18

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.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(+.f32 (hypot.f32 #s(literal 1 binary32) x) (fabs.f32 x))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) x))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(fma.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) x) (fabs.f32 x))
(fma.f32 (hypot.f32 #s(literal 1 binary32) x) #s(literal 1 binary32) (fabs.f32 x))
(fma.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (fabs.f32 x))
(fma.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (fabs.f32 x))
(*.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(*.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))

simplify316.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3784×	`-lowering-.f32`
3784×	`-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	5709	465
0	8716	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.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(+ (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))
(+ (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)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x (.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 #s(literal 1/720 binary32) (.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32)))))))))))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 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))))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (.f32 x x)) (+.f32 (log.f32 x) (.f32 (.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (.f32 x (.f32 x #s(literal 2 binary32))))) (/.f32 #s(literal 1/6 binary32) (.f32 x (*.f32 x x)))))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (.f32 x (.f32 x #s(literal 2 binary32))))) x)) (+.f32 #s(literal -1/2 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32)))) (neg.f32 x)) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)

eval6.0ms (0.1%)

Compiler: Compiled 858 to 204 computations (76.2% saved)

prune20.0ms (0.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	50	16	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	17	67

Accuracy

100.0%

Counts

67 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.0%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
	55.9%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
▶	13.1%	(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
	14.1%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
▶	69.5%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	31.6%	(copysign.f32 (log.f32 (-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)) x)
▶	17.1%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
	12.5%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
✓	60.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
	21.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
	31.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
	30.2%	(copysign.f32 (log.f32 (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))) x)
	25.9%	(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
	24.9%	(copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
▶	29.6%	(copysign.f32 (log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))) x)
	14.1%	(copysign.f32 (log.f32 (neg.f32 x)) x)
▶	12.3%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 488 to 315 computations (35.5% saved)

simplify160.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 (fabs.f32 x) #s(literal 1 binary32))
✓	cost-diff	0	(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
✓	cost-diff	64	(log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))
✓	cost-diff	64	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
✓	cost-diff	128	(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)))
✓	cost-diff	160	(neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))
✓	cost-diff	160	(log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)))))
✓	cost-diff	160	(copysign.f32 (log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))) x)
✓	cost-diff	0	(/.f32 (fabs.f32 x) x)
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
✓	cost-diff	0	(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(copysign.f32 (log.f32 x) x)
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(log1p.f32 (fabs.f32 x))
✓	cost-diff	0	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)

Rules

1874×	`fma-define`
1778×	`fma-lowering-fma.f32`
1778×	`fma-lowering-fma.f64`
1640×	`sum3-define`
1612×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	245
1	77	233
2	240	226
3	658	225
4	1755	210
5	4596	210
0	8234	210

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
x
(copysign (log x) x)
(log x)
x
(copysign (+ (log x) (/ (fabs x) x)) x)
(+ (log x) (/ (fabs x) x))
(log x)
x
(/ (fabs x) x)
(fabs x)
(copysign (log (neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x))))) x)
(log (neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x)))))
(neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x))))
(* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x)))
x
(- 1 (/ (+ (fabs x) (/ -1/2 x)) x))
1
(/ (+ (fabs x) (/ -1/2 x)) x)
(+ (fabs x) (/ -1/2 x))
(fabs x)
(/ -1/2 x)
-1/2
(copysign (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))) x)
(log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))
(+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
(+ (fabs x) 1)
(fabs x)
x
1
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))
(* x x)
(+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))
1/2
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(+ -1/8 (* (* x x) 1/16))
-1/8
(* (* x x) 1/16)
1/16

Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(log x)
(log.f32 x)
x
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(+ (log x) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(log x)
(log.f32 x)
x
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
(fabs x)
(fabs.f32 x)
(copysign (log (neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(log (neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x)))))
(log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))
(neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x))))
(-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)
(* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x)))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (fabs.f32 x) x))
x
(- 1 (/ (+ (fabs x) (/ -1/2 x)) x))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x))
1
#s(literal 1 binary32)
(/ (+ (fabs x) (/ -1/2 x)) x)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)
(+ (fabs x) (/ -1/2 x))
(+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(fabs x)
(fabs.f32 x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
(copysign (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
(log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))
(log1p.f32 (+.f32 (fabs.f32 x) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))
(+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))
(+ (fabs x) 1)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
1
#s(literal 1 binary32)
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))
(* x x)
(*.f32 x x)
(+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))
(+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))
1/2
#s(literal 1/2 binary32)
(* (* x x) (+ -1/8 (* (* x x) 1/16)))
(.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))
(+ -1/8 (* (* x x) 1/16))
(+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))
-1/8
#s(literal -1/8 binary32)
(* (* x x) 1/16)
(.f32 (.f32 x x) #s(literal 1/16 binary32))
1/16
#s(literal 1/16 binary32)

localize196.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 (.f32 x x) #s(literal 1/16 binary32))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	100.0%	(log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)))
✓	accuracy	100.0%	(neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))
✓	accuracy	100.0%	(log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(/.f32 (fabs.f32 x) x)
✓	accuracy	100.0%	(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(copysign.f32 (log.f32 x) x)
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
✓	accuracy	100.0%	(log1p.f32 (fabs.f32 x))
✓	accuracy	100.0%	(fabs.f32 x)

Results

147.0ms

256×

invalid

Compiler

Compiled 269 to 33 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-sub: 24.0ms (29.2% of total)

ival-log: 12.0ms (14.6% of total)

ival-copysign: 11.0ms (13.4% of total)

ival-mult: 10.0ms (12.2% of total)

ival-add: 9.0ms (11% of total)

ival-div: 6.0ms (7.3% of total)

compiled-spec: 6.0ms (7.3% of total)

ival-fabs: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

series146.0ms (1.6%)

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 (neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x))))) x)>
#<alt (log (neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x)))))>
#<alt (neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x))))>
#<alt (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x)))>
#<alt (copysign (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))) x)>
#<alt (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))>
#<alt (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))>
#<alt (+ (fabs x) 1)>
#<alt (* x x)>
#<alt (* (* x x) 1/16)>

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 (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) 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 (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) 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 (- (* -1 x) (* -1 (fabs x)))) 1/2) x)>
#<alt (/ (- (* x (- (* -1 x) (* -1 (fabs 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) x)) (/ 1/2 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (fabs x) x)) (/ 1/2 (pow x 2))))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1 (* x (fabs x)))) x)>
#<alt (/ (+ 1/2 (* x (+ x (* -1 (fabs x))))) x)>
#<alt (/ (+ 1/2 (* x (+ x (* -1 (fabs x))))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* x (+ 1 (+ (* -1 (/ (fabs x) x)) (/ 1/2 (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1 (/ (fabs x) x)) (/ 1/2 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (fabs x) x) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 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 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/16) (* -6 (log (/ 1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (log 1/16) (* -6 (log (/ -1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 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 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))>
#<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 (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>

Calls

54 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(log x)
27.0ms	x	@	0	(log (+ 1 (fabs x)))
23.0ms	x	@	inf	(log (+ 1 (fabs x)))
21.0ms	x	@	inf	(log x)
19.0ms	x	@	-inf	(log (+ 1 (fabs x)))

rewrite206.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`sum5-define`
1656×	`-lowering-.f32`
1656×	`-lowering-.f64`
1146×	`fma-lowering-fma.f32`
1146×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	159
1	96	150
2	354	146
3	1177	130
4	4383	130
0	8089	130

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 332

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 (neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x))))) x)
(log (neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x)))))
(neg (* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x))))
(* x (- 1 (/ (+ (fabs x) (/ -1/2 x)) x)))
(copysign (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))) x)
(log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16)))))))
(+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* (* x x) 1/16))))))
(+ (fabs x) 1)
(* x x)
(* (* x x) 1/16)

Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log1p.f32 (fabs.f32 x))
(+.f32 (log1p.f32 (fabs.f32 x)) #s(literal 0 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(neg.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(exp.f32 (log.f32 (fabs.f32 x)))
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (fabs.f32 x))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (-.f32 (neg.f32 x) #s(literal 0 binary32)))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(pow.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 #s(literal 1 binary32) x)))
(/.f32 (fabs.f32 x) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(copysign.f32 (log.f32 x) x)
(neg.f32 (-.f32 #s(literal 0 binary32) (log.f32 x)))
(+.f32 (log.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 x))
(+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 x)))
(-.f32 (log.f32 x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log.f32 x)))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(*.f32 #s(literal 1 binary32) (log.f32 x))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (log.f32 x)))
(log.f32 x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(fma.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x) (log.f32 x))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) x) (log.f32 x))
(fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32) (log.f32 x))
(fma.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 #s(literal -1 binary32) x) (log.f32 x))
(fma.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x) (log.f32 x))
(fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) x) (log.f32 x))
(fma.f32 (/.f32 #s(literal -1 binary32) x) (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (log.f32 x))
(-.f32 (log.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) x))
(-.f32 (/.f32 (fabs.f32 x) x) (-.f32 #s(literal 0 binary32) (log.f32 x)))
(-.f32 #s(literal 0 binary32) (-.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) x) (log.f32 x)))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) x))
(exp.f32 (log.f32 (/.f32 (fabs.f32 x) x)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fabs.f32 x) x)) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32)) (/.f32 (fabs.f32 x) x))
(pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32))
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(-.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 #s(literal 0 binary32) (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))
(-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) (neg.f32 x))
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(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (log.f32 x)))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 x))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (log.f32 x))))
(/.f32 x (/.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 x x) #s(literal 1 binary32))
(/.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) x))
(/.f32 (*.f32 x (neg.f32 x)) #s(literal -1 binary32))
(/.f32 (*.f32 (neg.f32 x) x) #s(literal -1 binary32))
(/.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (neg.f32 x))) (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 #s(literal -1 binary32))))
(.f32 #s(literal 1 binary32) (.f32 x x))
(*.f32 x x)
(.f32 (.f32 x x) #s(literal 1 binary32))
(*.f32 (neg.f32 x) (neg.f32 x))
(.f32 #s(literal -1 binary32) (.f32 (neg.f32 x) x))
(*.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 #s(literal -1 binary32))) (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (neg.f32 x))))
(neg.f32 (.f32 (neg.f32 x) (.f32 x #s(literal 1/16 binary32))))
(neg.f32 (.f32 (.f32 x #s(literal 1/16 binary32)) (neg.f32 x)))
(/.f32 (.f32 x (.f32 x #s(literal 1/16 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x #s(literal 1/16 binary32)) (/.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 (neg.f32 x) (.f32 x #s(literal 1/16 binary32))) #s(literal -1 binary32))
(/.f32 (.f32 (.f32 x #s(literal 1/16 binary32)) (neg.f32 x)) #s(literal -1 binary32))
(.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/16 binary32))))
(.f32 x (.f32 x #s(literal 1/16 binary32)))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(.f32 (.f32 x (*.f32 x #s(literal 1/16 binary32))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (neg.f32 x) (*.f32 x #s(literal 1/16 binary32))))
(.f32 (.f32 x #s(literal 1/16 binary32)) x)
(.f32 (.f32 (*.f32 x #s(literal 1/16 binary32)) #s(literal -1 binary32)) (neg.f32 x))

simplify253.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

5066×	`-lowering-.f32`
5066×	`-lowering-.f64`
3882×	`+-lowering-+.f64`
3882×	`+-lowering-+.f32`
1512×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	2006
1	798	1785
2	2791	1705
0	8782	1705

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 (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)
(copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)
(copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)
(copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) 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 (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)
(copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)
(copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) x))))) x)
(copysign (log (neg (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ (fabs x) 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 (- (* -1 x) (* -1 (fabs x)))) 1/2) x)
(/ (- (* x (- (* -1 x) (* -1 (fabs 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) x)) (/ 1/2 (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (fabs x) x)) (/ 1/2 (pow x 2))))))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (* x (fabs x)))) x)
(/ (+ 1/2 (* x (+ x (* -1 (fabs x))))) x)
(/ (+ 1/2 (* x (+ x (* -1 (fabs x))))) x)
x
(* x (+ 1 (* -1 (/ (fabs x) x))))
(* x (+ 1 (+ (* -1 (/ (fabs x) x)) (/ 1/2 (pow x 2)))))
(* x (+ 1 (+ (* -1 (/ (fabs x) x)) (/ 1/2 (pow x 2)))))
x
(* -1 (* x (- (/ (fabs x) x) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)) 1)))
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 1/2 (pow x 2))))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (+ (* 1/16 (pow x 6)) (* 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 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 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 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(+ 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)
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))

Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
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(+ (log 1/16) (* -6 (log (/ -1 x))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -6 binary32)))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (+.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -6 binary32)) (/.f32 #s(literal -2 binary32) (.f32 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (+.f32 (/.f32 #s(literal 6 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -6 binary32)) (/.f32 #s(literal -2 binary32) (.f32 x x)))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 1/720 (/ (+ 9600 (* 11520 (+ 1 (fabs x)))) (pow x 6))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -6 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 6 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (+.f32 #s(literal 88/3 binary32) (.f32 #s(literal 1/720 binary32) (.f32 (fabs.f32 x) #s(literal 11520 binary32)))) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (log.f32 #s(literal 1/16 binary32)) (/.f32 #s(literal -2 binary32) (.f32 x x)))))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))
(* 1/16 (pow x 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* 1/16 (pow x 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (fabs x) (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 6 binary32))))) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(* 1/16 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/16 binary32))

eval72.0ms (0.8%)

Compiler: Compiled 13056 to 2107 computations (83.9% saved)

prune128.0ms (1.4%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	731	8	739
Fresh	3	8	11
Picked	1	4	5
Done	0	1	1
Total	735	21	756

Accuracy

100.0%

Counts

756 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.8%	(copysign.f32 (/.f32 (fabs.f32 x) x) x)
▶	57.0%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
	55.9%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
✓	13.1%	(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
	8.3%	(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
	56.6%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x)
✓	69.5%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	29.6%	(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x)) (/.f32 #s(literal 1 binary32) x))) x)
	28.8%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
	30.0%	(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
✓	17.1%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
	12.5%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
✓	60.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
	31.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
▶	21.6%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))) x)
▶	30.2%	(copysign.f32 (log.f32 (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))) x)
	25.9%	(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
	24.9%	(copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
▶	8.0%	(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
▶	14.1%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	12.3%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 541 to 356 computations (34.2% saved)

simplify113.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 x)
✓	cost-diff	160	(.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))
✓	cost-diff	160	(log.f32 (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x))))
✓	cost-diff	160	(copysign.f32 (log.f32 (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))) x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
✓	cost-diff	64	(log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))))
✓	cost-diff	64	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))) x)
✓	cost-diff	0	(pow.f32 x #s(literal 6 binary32))
✓	cost-diff	0	(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
✓	cost-diff	0	(log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))
✓	cost-diff	0	(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
✓	cost-diff	0	(neg.f32 x)
✓	cost-diff	0	(log.f32 (neg.f32 x))
✓	cost-diff	0	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(log1p.f32 (fabs.f32 x))
✓	cost-diff	0	(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
✓	cost-diff	0	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)

Rules

1308×	`sum5-define`
1258×	`sum3-define`
1180×	`sum4-define`
1070×	`fmsub-define`
1068×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	262
1	71	256
2	134	256
3	319	253
4	1110	241
5	4467	241
0	8106	241

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(copysign (+ (log (+ 1 (fabs x))) (/ (* (* x x) 1/2) (+ (fabs x) 1))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(+ (log (+ 1 (fabs x))) (/ (* (* x x) 1/2) (+ (fabs x) 1)))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(/ (* (* x x) 1/2) (+ (fabs x) 1))
(/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(* (* x x) 1/2)
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* x x)
(*.f32 x x)
1/2
#s(literal 1/2 binary32)
(+ (fabs x) 1)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
1
#s(literal 1 binary32)
(copysign (log (neg x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(log (neg x))
(log.f32 (neg.f32 x))
(neg x)
(neg.f32 x)
x
(copysign (log (* 1/16 (pow x 6))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(log (* 1/16 (pow x 6)))
(log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))
(* 1/16 (pow x 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
1/16
#s(literal 1/16 binary32)
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
x
6
#s(literal 6 binary32)
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(+ 1 (+ (fabs x) (* x (* x 1/2))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
1
#s(literal 1 binary32)
(+ (fabs x) (* x (* x 1/2)))
(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fabs x)
(fabs.f32 x)
x
(* x (* x 1/2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(copysign (log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x))) x)
(log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x)))
(* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x))
(neg x)
(neg.f32 x)
x
(- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)) x))
1
#s(literal 1 binary32)
(/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)
(- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x))
(+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fabs x)
(fabs.f32 x)
(/ (+ 1/2 (/ -1/8 (* x x))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(+ 1/2 (/ -1/8 (* x x)))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))
1/2
#s(literal 1/2 binary32)
(/ -1/8 (* x x))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
-1/8
#s(literal -1/8 binary32)
(* x x)
(*.f32 x x)

localize230.0ms (2.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
✓	accuracy	100.0%	(.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))
✓	accuracy	100.0%	(log.f32 (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x))))
✓	accuracy	99.6%	(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(*.f32 x #s(literal 1/2 binary32))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	99.9%	(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
✓	accuracy	88.3%	(log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))))
✓	accuracy	100.0%	(pow.f32 x #s(literal 6 binary32))
✓	accuracy	100.0%	(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
✓	accuracy	99.1%	(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
✓	accuracy	78.1%	(log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))
✓	accuracy	100.0%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	accuracy	100.0%	(neg.f32 x)
✓	accuracy	100.0%	(log.f32 (neg.f32 x))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(log1p.f32 (fabs.f32 x))
✓	accuracy	100.0%	(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
✓	accuracy	89.1%	(/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))

Results

137.0ms	187×	0	invalid
39.0ms	69×	0	valid

Compiler

Compiled 288 to 37 computations (87.2% saved)

Precisions

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

ival-log: 16.0ms (21.8% of total)

ival-copysign: 11.0ms (15% of total)

ival-mult: 10.0ms (13.6% of total)

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

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

compiled-spec: 7.0ms (9.5% of total)

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

ival-sub: 3.0ms (4.1% of total)

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

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

const: 1.0ms (1.4% of total)

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

series58.0ms (0.6%)

Counts

22 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(log (* 1/16 (pow x 6)))
11.0ms	x	@	inf	(log (neg x))
7.0ms	x	@	0	(log (neg x))
6.0ms	x	@	inf	(log (* 1/16 (pow x 6)))
4.0ms	x	@	0	(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))

rewrite514.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2652×	`-lowering-.f32`
2652×	`-lowering-.f64`
2028×	`/-lowering-/.f32`
2028×	`/-lowering-/.f64`
1568×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	181
1	108	175
2	389	172
3	1848	160
0	8665	160

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 395

Calls

Call 1

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

Outputs
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x x) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) #s(literal -1/2 binary32))))) x)
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x x) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) #s(literal -1/2 binary32)))))
(+.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) #s(literal -1/2 binary32)))) (log1p.f32 (fabs.f32 x)))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) #s(literal -1/2 binary32)))) (log1p.f32 (fabs.f32 x)))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) #s(literal -1/2 binary32)))) #s(literal 1 binary32) (log1p.f32 (fabs.f32 x)))
(fma.f32 (neg.f32 x) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal -1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x (.f32 x #s(literal 1/2 binary32))) (log1p.f32 (fabs.f32 x)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal -2 binary32) (/.f32 (fabs.f32 x) #s(literal 1/2 binary32)))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal -1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fabs.f32 x))) (.f32 x (.f32 x #s(literal -1/2 binary32))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 x #s(literal -1/2 binary32)) (/.f32 x (-.f32 #s(literal -1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 x (-.f32 #s(literal -1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x x) (-.f32 #s(literal -2 binary32) (/.f32 (fabs.f32 x) #s(literal 1/2 binary32)))))
(-.f32 #s(literal 0 binary32) (-.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal -2 binary32) (/.f32 (fabs.f32 x) #s(literal 1/2 binary32)))) (log1p.f32 (fabs.f32 x))))
(log1p.f32 (fabs.f32 x))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log1p.f32 (fabs.f32 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (-.f32 #s(literal -1 binary32) (fabs.f32 x))))
(-.f32 (log1p.f32 (fabs.f32 x)) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log.f32 (-.f32 #s(literal -1 binary32) (fabs.f32 x))) (log.f32 #s(literal -1 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(neg.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(neg.f32 (/.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+.f32 (fabs.f32 x) #s(literal 0 binary32))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) #s(literal 0 binary32))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 #s(literal 1 binary32) x)))
(/.f32 (fabs.f32 x) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(*.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(copysign.f32 (log.f32 (neg.f32 x)) x)
(+.f32 (log.f32 (neg.f32 x)) #s(literal 0 binary32))
(+.f32 (log.f32 x) (log.f32 #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (log.f32 (neg.f32 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(log.f32 (neg.f32 x))
(neg.f32 x)
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(-.f32 (neg.f32 x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) x)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x))
(/.f32 x #s(literal -1 binary32))
(/.f32 (neg.f32 x) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(*.f32 x #s(literal -1 binary32))
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (log.f32 x)))
(+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32)))
(fma.f32 #s(literal 6 binary32) (log.f32 x) (log.f32 #s(literal 1/16 binary32)))
(fma.f32 (log.f32 x) #s(literal 6 binary32) (log.f32 #s(literal 1/16 binary32)))
(log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))
(*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))
(exp.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 6 binary32))) (log.f32 x)))
(pow.f32 x #s(literal 6 binary32))
(pow.f32 (exp.f32 #s(literal 6 binary32)) (log.f32 x))
(*.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))
(*.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 x) #s(literal 6 binary32)))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 6 binary32)) #s(literal 1 binary32))
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))))
(neg.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (-.f32 #s(literal -1 binary32) (fabs.f32 x))))
(neg.f32 (+.f32 (-.f32 #s(literal -1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal -1/2 binary32)))))
(+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(+.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(+.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (fabs.f32 x))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(fma.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 (neg.f32 x) (*.f32 x #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 (neg.f32 (*.f32 x x)) #s(literal -1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal -1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 #s(literal -1 binary32) (fabs.f32 x)))
(-.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal -1/2 binary32))))
(-.f32 #s(literal 0 binary32) (-.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(-.f32 #s(literal 0 binary32) (-.f32 (-.f32 #s(literal -1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 0 binary32)) (.f32 x (.f32 x #s(literal -1/2 binary32))))
(.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (*.f32 x #s(literal 1/2 binary32))))))
(.f32 #s(literal -1 binary32) (+.f32 (.f32 x (*.f32 x #s(literal -1/2 binary32))) (-.f32 #s(literal -1 binary32) (fabs.f32 x))))
(.f32 #s(literal -1 binary32) (+.f32 (-.f32 #s(literal -1 binary32) (fabs.f32 x)) (.f32 x (*.f32 x #s(literal -1/2 binary32)))))
(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(+.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x))
(fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32) (fabs.f32 x))
(fma.f32 (neg.f32 x) (*.f32 x #s(literal -1/2 binary32)) (fabs.f32 x))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) x (fabs.f32 x))
(fma.f32 (neg.f32 (*.f32 x x)) #s(literal -1/2 binary32) (fabs.f32 x))
(fma.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal -1/2 binary32))) (fabs.f32 x))
(fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 x x)) (fabs.f32 x))
(fma.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 x) (fabs.f32 x))
(-.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal -1/2 binary32))))
(-.f32 #s(literal 0 binary32) (-.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (fabs.f32 x)))
(.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)) x)
(+.f32 (log.f32 (neg.f32 x)) (log1p.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)) x)))
(+.f32 (log1p.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)) x)) (log.f32 (neg.f32 x)))
(+.f32 (log.f32 x) (log.f32 (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 x (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)))))
(+.f32 (log.f32 (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32))) (log.f32 x))
(+.f32 (log.f32 (+.f32 x (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)))) (log.f32 #s(literal -1 binary32)))
(log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x))
(neg.f32 (+.f32 x (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x))))
(neg.f32 (.f32 (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x) #s(literal -1 binary32)) (neg.f32 x)))
(+.f32 (neg.f32 x) (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
(+.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) (neg.f32 x))
(+.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal 0 binary32))
(+.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x) (fma.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x) x (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x))))
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(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x (/.f32 #s(literal -1/8 binary32) x))))
(fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/8 binary32) (.f32 x x)) (.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) (neg.f32 x)) (/.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) (neg.f32 x)))
(-.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) (neg.f32 x)) (/.f32 #s(literal 1/2 binary32) (neg.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) #s(literal 1 binary32))
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))))
(/.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))))
(/.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))) x) (/.f32 x (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 x)) (.f32 x (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))))) (.f32 x x))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))))) (neg.f32 x)) (/.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))) (.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) x))) (/.f32 x (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))) (neg.f32 (*.f32 x x)))
(.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x))
(.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
(.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))
(.f32 (/.f32 #s(literal -1 binary32) x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))))
(.f32 (/.f32 #s(literal -1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x))

simplify311.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3678×	`-lowering-.f32`
3678×	`-lowering-.f64`
2512×	`fma-lowering-fma.f32`
2512×	`fma-lowering-fma.f64`
2166×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	2420
1	644	2179
2	2061	2097
3	7060	2097
0	8201	2097

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

Outputs
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
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(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)

eval72.0ms (0.8%)

Compiler: Compiled 13893 to 2291 computations (83.5% saved)

prune115.0ms (1.3%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	766	9	775
Fresh	2	9	11
Picked	1	4	5
Done	0	5	5
Total	769	27	796

Accuracy

100.0%

Counts

796 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.8%	(copysign.f32 (/.f32 (fabs.f32 x) x) x)
▶	8.3%	(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
✓	57.0%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
	55.9%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
✓	13.1%	(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
	12.9%	(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
	56.6%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x)
▶	61.0%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
✓	69.5%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	11.9%	(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
▶	6.9%	(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
▶	28.8%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
	30.4%	(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)) x)
	30.0%	(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
	21.6%	(copysign.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal -1/2 binary32))))) x)
✓	17.1%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
	12.5%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
✓	60.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
	31.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
✓	21.6%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))) x)
	15.8%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
	25.9%	(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
▶	24.9%	(copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
	14.0%	(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
✓	8.0%	(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
✓	14.1%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	12.3%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 623 to 406 computations (34.8% saved)

simplify271.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
✓	cost-diff	192	(.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
✓	cost-diff	192	(log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x))))))
✓	cost-diff	192	(copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(*.f32 #s(literal 6 binary32) (log.f32 x))
✓	cost-diff	0	(+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32)))
✓	cost-diff	0	(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
✓	cost-diff	0	(.f32 x (.f32 x x))
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))
✓	cost-diff	0	(log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x))))
✓	cost-diff	0	(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
✓	cost-diff	0	(log.f32 (/.f32 #s(literal -1/2 binary32) x))
✓	cost-diff	0	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
✓	cost-diff	0	(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
✓	cost-diff	0	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)

Rules

4294×	`-lowering-.f32`
4294×	`-lowering-.f64`
2042×	`/-lowering-/.f32`
2042×	`/-lowering-/.f64`
1940×	`fma-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	34	180
1	66	173
2	114	173
3	254	173
4	411	158
5	634	158
6	758	157
7	1144	157
8	2030	157
9	3280	157
10	4188	157
11	5690	157
12	7477	157
0	8486	157

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(+ (fabs x) (* x (* x 1/2)))
(fabs x)
x
(* x (* x 1/2))
(* x 1/2)
1/2
(copysign (log (/ -1/2 x)) x)
(log (/ -1/2 x))
(/ -1/2 x)
-1/2
x
(copysign (log (/ 1/8 (* x (* x x)))) x)
(log (/ 1/8 (* x (* x x))))
(/ 1/8 (* x (* x x)))
1/8
(* x (* x x))
x
(* x x)
(copysign (+ (* 6 (log x)) (log 1/16)) x)
(+ (* 6 (log x)) (log 1/16))
(* 6 (log x))
6
(log x)
x
(log 1/16)
1/16
(copysign (log (* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x)))))) x)
(log (* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x))))))
(* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x)))))
x
(+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x))))
1
(+ (/ (fabs x) x) (/ 1/2 (* x x)))
(/ (fabs x) x)
(fabs x)
(/ 1/2 (* x x))
1/2
(* x x)

Outputs
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(log1p.f32 (+.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x)))
(+ (fabs x) (* x (* x 1/2)))
(+.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(* x (* x 1/2))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(log (/ -1/2 x))
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
x
(copysign (log (/ 1/8 (* x (* x x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(log (/ 1/8 (* x (* x x))))
(log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x))))
(/ 1/8 (* x (* x x)))
(/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))
1/8
#s(literal 1/8 binary32)
(* x (* x x))
(.f32 x (.f32 x x))
x
(* x x)
(*.f32 x x)
(copysign (+ (* 6 (log x)) (log 1/16)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
(+ (* 6 (log x)) (log 1/16))
(+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32)))
(* 6 (log x))
(*.f32 #s(literal 6 binary32) (log.f32 x))
6
#s(literal 6 binary32)
(log x)
(log.f32 x)
x
(log 1/16)
(log.f32 #s(literal 1/16 binary32))
1/16
#s(literal 1/16 binary32)
(copysign (log (* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 x (fabs.f32 x)) (/.f32 #s(literal 1/2 binary32) x))) x)
(log (* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x))))))
(log.f32 (+.f32 (+.f32 x (fabs.f32 x)) (/.f32 #s(literal 1/2 binary32) x)))
(* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x)))))
(+.f32 (+.f32 x (fabs.f32 x)) (/.f32 #s(literal 1/2 binary32) x))
x
(+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x))))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))
1
#s(literal 1 binary32)
(+ (/ (fabs x) x) (/ 1/2 (* x x)))
(/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)
(/ (fabs x) x)
(/.f32 (fabs.f32 x) x)
(fabs x)
(fabs.f32 x)
(/ 1/2 (* x x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
1/2
#s(literal 1/2 binary32)
(* x x)
(*.f32 x x)

localize173.0ms (1.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	100.0%	(log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x))))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32)))
✓	accuracy	100.0%	(*.f32 #s(literal 6 binary32) (log.f32 x))
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log.f32 #s(literal 1/16 binary32))
✓	accuracy	100.0%	(/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))
✓	accuracy	100.0%	(.f32 x (.f32 x x))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x))))
✓	accuracy	100.0%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	100.0%	(.f32 x (.f32 x #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(*.f32 x #s(literal 1/2 binary32))
✓	accuracy	100.0%	(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
✓	accuracy	100.0%	(fabs.f32 x)

Results

132.0ms

256×

invalid

Compiler

Compiled 204 to 34 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-log: 17.0ms (26.3% of total)

ival-copysign: 10.0ms (15.4% of total)

ival-mult: 10.0ms (15.4% of total)

ival-div: 9.0ms (13.9% of total)

compiled-spec: 8.0ms (12.4% of total)

ival-add: 7.0ms (10.8% of total)

ival-fabs: 2.0ms (3.1% of total)

const: 1.0ms (1.5% of total)

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

series151.0ms (1.7%)

Counts

23 → 264

Calls

Call 1

Inputs
#<alt (copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)>
#<alt (log (+ 1 (+ (fabs x) (* x (* x 1/2)))))>
#<alt (+ (fabs x) (* x (* x 1/2)))>
#<alt (fabs x)>
#<alt (copysign (log (/ -1/2 x)) x)>
#<alt (log (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (copysign (log (/ 1/8 (* x (* x x)))) x)>
#<alt (log (/ 1/8 (* x (* x x))))>
#<alt (/ 1/8 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (copysign (+ (* 6 (log x)) (log 1/16)) x)>
#<alt (+ (* 6 (log x)) (log 1/16))>
#<alt (* 6 (log x))>
#<alt (log x)>
#<alt (copysign (log (* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x)))))) x)>
#<alt (log (* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x))))))>
#<alt (* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x)))))>
#<alt (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x))))>
#<alt (* x 1/2)>
#<alt (* x (* x 1/2))>
#<alt (* x x)>
#<alt (log 1/16)>

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

Calls

66 calls:

Time	Variable		Point	Expression
76.0ms	x	@	0	(log (/ 1/8 (* x (* x x))))
13.0ms	x	@	-inf	(log (/ -1/2 x))
13.0ms	x	@	-inf	(log (/ 1/8 (* x (* x x))))
12.0ms	x	@	0	(log (/ -1/2 x))
9.0ms	x	@	-inf	(* x (* x x))

rewrite274.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4352×	`/-lowering-/.f32`
4352×	`/-lowering-/.f64`
2848×	`-lowering-.f32`
2848×	`-lowering-.f64`
1954×	`frac-add`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	147
1	106	140
2	462	140
3	2667	125
0	8545	125

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 591

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(+ (fabs x) (* x (* x 1/2)))
(fabs x)
(copysign (log (/ -1/2 x)) x)
(log (/ -1/2 x))
(/ -1/2 x)
(copysign (log (/ 1/8 (* x (* x x)))) x)
(log (/ 1/8 (* x (* x x))))
(/ 1/8 (* x (* x x)))
(* x (* x x))
(copysign (+ (* 6 (log x)) (log 1/16)) x)
(+ (* 6 (log x)) (log 1/16))
(* 6 (log x))
(log x)
(copysign (log (* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x)))))) x)
(log (* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x))))))
(* x (+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x)))))
(+ 1 (+ (/ (fabs x) x) (/ 1/2 (* x x))))
(* x 1/2)
(* x (* x 1/2))
(* x x)
(log 1/16)

Outputs
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))
(log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))))
(+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(+.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) x (fabs.f32 x))
(fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32) (fabs.f32 x))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))
(fma.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x)) (.f32 x (.f32 x #s(literal 1/2 binary32))))
(-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (neg.f32 (fabs.f32 x)))
(neg.f32 (neg.f32 (fabs.f32 x)))
(neg.f32 (*.f32 (/.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x))
(neg.f32 (*.f32 x (/.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1 binary32)))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 (-.f32 x #s(literal 0 binary32))))
(fabs.f32 (-.f32 (neg.f32 x) #s(literal 0 binary32)))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (fabs.f32 x)))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 x (fabs.f32 x))) (/.f32 (neg.f32 x) (/.f32 x (fabs.f32 x))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (/.f32 x (fabs.f32 x)))) (/.f32 x (neg.f32 (/.f32 x (fabs.f32 x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (fabs.f32 x)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (/.f32 x (fabs.f32 x))) (neg.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (neg.f32 (*.f32 x (fabs.f32 x)))))
(/.f32 x (/.f32 x (fabs.f32 x)))
(/.f32 (fabs.f32 x) #s(literal 1 binary32))
(/.f32 (neg.f32 x) (neg.f32 (/.f32 x (fabs.f32 x))))
(/.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32))
(/.f32 (*.f32 x (fabs.f32 x)) x)
(/.f32 (neg.f32 (*.f32 x (fabs.f32 x))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (*.f32 x (fabs.f32 x)))) x)
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(*.f32 x (/.f32 (fabs.f32 x) x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 (/.f32 (fabs.f32 x) x) x)
(.f32 (neg.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal -1 binary32) x) x))
(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (fabs.f32 x)))
(*.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x)))
(.f32 (.f32 x (fabs.f32 x)) (/.f32 #s(literal 1 binary32) x))
(.f32 (neg.f32 (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1 binary32) x))
(.f32 (.f32 x (/.f32 #s(literal 1 binary32) x)) (fabs.f32 x))
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(neg.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) #s(literal 0 binary32))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (log.f32 x)))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1 binary32) (log.f32 x) (log.f32 #s(literal -1/2 binary32)))
(-.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) #s(literal 0 binary32))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 x #s(literal -1/2 binary32))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 x)))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 x)) (log.f32 #s(literal -2 binary32)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 x #s(literal 1/2 binary32))))
(*.f32 (log.f32 (/.f32 x #s(literal -1/2 binary32))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 x #s(literal -1/2 binary32))))
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
(neg.f32 (/.f32 #s(literal 1/2 binary32) x))
(exp.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)))
(pow.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32))
(pow.f32 (/.f32 x #s(literal -1/2 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) (neg.f32 x))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))
(/.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 2 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) x))
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))
(copysign.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) x)) x)
(neg.f32 (log.f32 (/.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))))
(+.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) x)) #s(literal 0 binary32))
(+.f32 (log.f32 #s(literal 1/8 binary32)) (*.f32 (log.f32 x) #s(literal -3 binary32)))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) x)))
(+.f32 (log.f32 #s(literal -1/8 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x x)))))
(+.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) x)) (*.f32 (log.f32 x) #s(literal -2 binary32)))
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(fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) x) (.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (fabs.f32 x)))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(fma.f32 (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32))
(fma.f32 (-.f32 (neg.f32 x) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) #s(literal -1/2 binary32))) #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 x #s(literal 1/2 binary32)) (neg.f32 (.f32 x (.f32 x (fabs.f32 x))))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) x) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal -1/2 binary32) (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1 binary32) (.f32 x x)) #s(literal 1 binary32))
(fma.f32 (/.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) x)) (.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) #s(literal 1 binary32))
(fma.f32 (+.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) x))) (/.f32 #s(literal 1 binary32) (.f32 x (/.f32 x (/.f32 (fabs.f32 x) x)))) #s(literal 1 binary32))
(fma.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x)) (.f32 x x)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (*.f32 x (/.f32 x (/.f32 (fabs.f32 x) x))))) #s(literal 1 binary32))
(fma.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (fabs.f32 x) x))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x))))) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x x))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) x) (neg.f32 (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(fma.f32 (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x)))) x) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) x) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(fma.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fabs.f32 x))) (/.f32 #s(literal -1 binary32) x) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))))
(fma.f32 (.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 x (fabs.f32 x)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) x) #s(literal 1 binary32))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))
(neg.f32 (*.f32 x #s(literal -1/2 binary32)))
(.f32 #s(literal 1 binary32) (.f32 x #s(literal 1/2 binary32)))
(*.f32 x #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) x)
(.f32 (.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/2 binary32) (neg.f32 x))
(*.f32 (neg.f32 x) #s(literal -1/2 binary32))
(.f32 #s(literal -1 binary32) (.f32 x #s(literal -1/2 binary32)))
(.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/2 binary32))))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 1/2 binary32)) x)
(.f32 (.f32 x (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32))
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(neg.f32 (*.f32 x (neg.f32 x)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 x))
(-.f32 #s(literal 0 binary32) (*.f32 x (neg.f32 x)))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 x (/.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 x x) #s(literal 1 binary32))
(/.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) x))
(/.f32 (*.f32 x (neg.f32 x)) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))
(.f32 #s(literal 1 binary32) (.f32 x x))
(*.f32 x x)
(.f32 (.f32 x x) #s(literal 1 binary32))
(*.f32 (neg.f32 x) (neg.f32 x))
(.f32 #s(literal -1 binary32) (.f32 x (neg.f32 x)))
(log.f32 #s(literal 1/16 binary32))

simplify308.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
2076×	`fma-lowering-fma.f32`
2076×	`fma-lowering-fma.f64`
1772×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	2135
1	610	1899
2	1912	1870
3	6284	1868
0	8119	1868

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

Outputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
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(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (log.f32 x)))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (log.f32 x)))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (log.f32 x)))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (log.f32 x)))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (log.f32 x)))
(+ (log 1/16) (* 6 (+ (log -1) (* -1 (log (/ -1 x))))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+ (log 1/16) (* 6 (+ (log -1) (* -1 (log (/ -1 x))))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+ (log 1/16) (* 6 (+ (log -1) (* -1 (log (/ -1 x))))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+ (log 1/16) (* 6 (+ (log -1) (* -1 (log (/ -1 x))))))
(+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 #s(literal 6 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(* 6 (log x))
(*.f32 #s(literal 6 binary32) (log.f32 x))
(* 6 (log x))
(*.f32 #s(literal 6 binary32) (log.f32 x))
(* 6 (log x))
(*.f32 #s(literal 6 binary32) (log.f32 x))
(* 6 (log x))
(*.f32 #s(literal 6 binary32) (log.f32 x))
(* -6 (log (/ 1 x)))
(*.f32 #s(literal 6 binary32) (log.f32 x))
(* -6 (log (/ 1 x)))
(*.f32 #s(literal 6 binary32) (log.f32 x))
(* -6 (log (/ 1 x)))
(*.f32 #s(literal 6 binary32) (log.f32 x))
(* -6 (log (/ 1 x)))
(*.f32 #s(literal 6 binary32) (log.f32 x))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f32 #s(literal 6 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f32 #s(literal 6 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f32 #s(literal 6 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f32 #s(literal 6 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))) x)
(+ (log 1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 x (.f32 (fabs.f32 x) #s(literal 2 binary32))) (log.f32 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 x (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) #s(literal -2 binary32)))) (*.f32 (fabs.f32 x) #s(literal 2 binary32)))) (log.f32 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(+.f32 (.f32 x (+.f32 (.f32 (fabs.f32 x) #s(literal 2 binary32)) (.f32 x (+.f32 (.f32 (.f32 (fabs.f32 x) (+.f32 #s(literal -24 binary32) (.f32 (.f32 x x) #s(literal 16 binary32)))) (.f32 x #s(literal 1/6 binary32))) (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) #s(literal -2 binary32))))))) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 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))))
(+.f32 (/.f32 (.f32 (/.f32 #s(literal 1/6 binary32) x) (.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (.f32 x (.f32 x #s(literal 2 binary32)))))) (.f32 x x)) (+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (.f32 x x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (.f32 (.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (.f32 x (.f32 x #s(literal 2 binary32))))) (/.f32 #s(literal 1/6 binary32) x)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)) x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* x (fabs x))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (fabs.f32 x))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 x (fabs.f32 x)))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 x (fabs.f32 x)))) x)
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ (+ 1/2 (* x (fabs x))) (pow x 2))
(/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (fabs.f32 x))) x) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 x (fabs.f32 x)))) (.f32 x x))
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 x (fabs.f32 x)))) (.f32 x x))
1
#s(literal 1 binary32)
(+ 1 (/ (fabs x) x))
(+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
1
#s(literal 1 binary32)
(+ 1 (/ (fabs x) x))
(+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)

eval86.0ms (1%)

Compiler: Compiled 16148 to 3009 computations (81.4% saved)

prune174.0ms (1.9%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	930	6	936
Fresh	4	9	13
Picked	2	3	5
Done	2	7	9
Total	938	25	963

Accuracy

100.0%

Counts

963 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.8%	(copysign.f32 (/.f32 (fabs.f32 x) x) x)
✓	57.0%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
	55.9%	(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
	42.1%	(copysign.f32 (log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (.f32 x (fabs.f32 x)))) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)
	56.6%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x)
✓	61.0%	(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
	40.5%	(copysign.f32 (log1p.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
	16.7%	(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
✓	69.5%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	11.9%	(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
	23.2%	(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
✓	6.9%	(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
✓	28.8%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
	30.4%	(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)) x)
	30.0%	(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
	21.6%	(copysign.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal -1/2 binary32))))) x)
	25.4%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)
✓	17.1%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
	12.5%	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
✓	60.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
	31.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
✓	21.6%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))) x)
	17.0%	(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
✓	14.1%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	12.3%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 855 to 417 computations (51.2% saved)

regimes24.0ms (0.3%)

Counts

41 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal -1/2 binary32))))) x)
(copysign.f32 (log1p.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x)) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (.f32 x (fabs.f32 x)))) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign.f32 (log.f32 (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

Calls

2 calls:

12.0ms	x
10.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes23.0ms (0.3%)

Counts

40 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal -1/2 binary32))))) x)
(copysign.f32 (log1p.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x)) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (.f32 x (fabs.f32 x)))) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign.f32 (log.f32 (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)

Calls

2 calls:

10.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
10.0ms	x

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes28.0ms (0.3%)

Counts

37 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal -1/2 binary32))))) x)
(copysign.f32 (log1p.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x)) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (.f32 x (fabs.f32 x)))) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign.f32 (log.f32 (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32)))))))) x)

Outputs

(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x)

(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

35 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal -1/2 binary32))))) x)
(copysign.f32 (log1p.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x)) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (.f32 x (fabs.f32 x)))) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))))))) x)
(copysign.f32 (log.f32 (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)) x)))) x)

Outputs

(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)

(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes34.0ms (0.4%)

Counts

30 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 x (.f32 x #s(literal -1/2 binary32))))) x)
(copysign.f32 (log1p.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x))))) x)
(copysign.f32 (log.f32 (.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))) x)

Outputs

(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)

(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)

(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)

Calls

1 calls:

32.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

23 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)

Outputs

(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x)

(copysign.f32 (log1p.f32 (fabs.f32 x)) x)

(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)
(copysign.f32 (log.f32 (-.f32 (*.f32 x (/.f32 (fabs.f32 x) x)) x)) x)

Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
95.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)

Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(copysign.f32 (+.f32 (log.f32 #s(literal 1/16 binary32)) (*.f32 (log.f32 x) #s(literal 6 binary32))) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) (log.f32 #s(literal 1/16 binary32))) x)

Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)
(copysign.f32 (/.f32 (fabs.f32 x) x) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (.f32 x (.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(copysign.f32 (log.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) x)
(copysign.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 x (.f32 x x)))) x)

Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
52.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)

Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log.f32 x) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
41.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)

Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 x) x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
26.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)

Outputs
(copysign.f32 (log.f32 x) x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
12.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03627703711390495	0.4377122223377228
0.0ms	-0.06375685334205627	-0.002881305990740657

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03627703711390495	0.4377122223377228
0.0ms	-0.06375685334205627	-0.002881305990740657

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.45182377099990845	1.9824153184890747
0.0ms	-1.7991445064544678	-0.06380005925893784

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.45182377099990845	1.9824153184890747
0.0ms	-1.7991445064544678	-0.06380005925893784

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.45182377099990845	1.9824153184890747
0.0ms	-1.7991445064544678	-0.06380005925893784

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.45182377099990845	1.9824153184890747
0.0ms	-1.7991445064544678	-0.06380005925893784

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.45182377099990845	1.9824153184890747
0.0ms	-1.7991445064544678	-0.06380005925893784

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.45182377099990845	1.9824153184890747
0.0ms	-1.7991445064544678	-0.06380005925893784

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.45182377099990845	1.9824153184890747
0.0ms	-1.7991445064544678	-0.06380005925893784

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-9.988357362814793e-40	4.677572108974776e-39

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-9.988357362814793e-40	4.677572108974776e-39

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-9.988357362814793e-40	4.677572108974776e-39

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative_binary32`
20×	`*-commutative_binary32`
6×	`sub-neg_binary32`
4×	`if-if-or-not_binary32`
2×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	453
1	142	453
2	146	453
3	147	453

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/268435456 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/268435456 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)))
(if (<=.f32 x #s(literal -89203/178405961588244985132285746181186892047843328 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x))
(if (<=.f32 x #s(literal -89203/178405961588244985132285746181186892047843328 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (copysign.f32 (log.f32 x) x))
(if (<=.f32 x #s(literal -89203/178405961588244985132285746181186892047843328 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (log.f32 x) x)

Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/268435456 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/268435456 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -13421773/268435456 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal 1/16 binary32))))))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal -1/8 binary32)))))))) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (*.f32 x x) #s(literal 1/16 binary32))))))))) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (*.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/2 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))) x)))
(if (<=.f32 x #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 x #s(literal 1/2 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x)))
(if (<=.f32 x #s(literal -89203/178405961588244985132285746181186892047843328 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (copysign.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) x))
(if (<=.f32 x #s(literal -89203/178405961588244985132285746181186892047843328 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (copysign.f32 (log.f32 x) x))
(if (<=.f32 x #s(literal -89203/178405961588244985132285746181186892047843328 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (log.f32 x) x)

soundness2.6s (29.1%)

Rules

5066×	`-lowering-.f32`
5066×	`-lowering-.f64`
4352×	`/-lowering-/.f32`
4352×	`/-lowering-/.f64`
3882×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	181
1	108	175
2	389	172
3	1848	160
0	8665	160
0	268	2006
1	798	1785
2	2791	1705
0	8782	1705
0	225	2135
1	610	1899
2	1912	1870
3	6284	1868
0	8119	1868
0	147	576
1	447	477
2	1534	465
3	5709	465
0	8716	465
0	9	11
1	15	9
2	16	9
3	17	9
0	17	9
0	33	159
1	96	150
2	354	146
3	1177	130
4	4383	130
0	8089	130
0	34	147
1	106	140
2	462	140
3	2667	125
0	8545	125

Stop Event

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

Compiler

Compiled 1306 to 678 computations (48.1% saved)

preprocess260.0ms (2.9%)

Compiler: Compiled 1008 to 248 computations (75.4% saved)

analyze0.0ms (0%)

sample1.0s (11.3%)

preprocess12.0ms (0.1%)

explain216.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize204.0ms (2.3%)

series4.0ms (0%)

rewrite119.0ms (1.3%)

simplify316.0ms (3.5%)

eval6.0ms (0.1%)

prune20.0ms (0.2%)

simplify160.0ms (1.8%)

localize196.0ms (2.2%)

series146.0ms (1.6%)

rewrite206.0ms (2.3%)

simplify253.0ms (2.8%)

eval72.0ms (0.8%)

prune128.0ms (1.4%)

simplify113.0ms (1.3%)

localize230.0ms (2.6%)

series58.0ms (0.6%)

rewrite514.0ms (5.7%)

simplify311.0ms (3.5%)

eval72.0ms (0.8%)

prune115.0ms (1.3%)

simplify271.0ms (3%)

localize173.0ms (1.9%)

series151.0ms (1.7%)

rewrite274.0ms (3%)

simplify308.0ms (3.4%)

eval86.0ms (1%)

prune174.0ms (1.9%)

regimes24.0ms (0.3%)

regimes23.0ms (0.3%)

regimes28.0ms (0.3%)

regimes11.0ms (0.1%)

regimes34.0ms (0.4%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

soundness2.6s (29.1%)

preprocess260.0ms (2.9%)

end0.0ms (0%)

Profiling