Metrics for Rust f64::asinh

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-asinh: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

sample576.0ms (5.9%)

Results

345.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-asinh: 105.0ms (92.1% of total)

const: 7.0ms (6.1% of total)

backward-pass: 3.0ms (2.6% of total)

Bogosity

preprocess13.0ms (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	14	9
2	15	9
3	16	9
0	16	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain210.0ms (2.1%)

FPErrors

Click to see full error table

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

Results

72.0ms	144×	1	valid
60.0ms	126×	2	valid
26.0ms	242×	0	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-log: 37.0ms (36.5% of total)

backward-pass: 25.0ms (24.6% of total)

ival-add: 9.0ms (8.9% of total)

ival-copysign: 8.0ms (7.9% of total)

ival-sqrt: 7.0ms (6.9% of total)

ival-mult: 7.0ms (6.9% of total)

ival-fabs: 7.0ms (6.9% of total)

const: 1.0ms (1% 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
▶	50.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
▶	29.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	21	65
0	21	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize258.0ms (2.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	99.7%	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	79.8%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

210.0ms	135×	5	exit
22.0ms	121×	0	valid

Compiler

Compiled 80 to 14 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-log: 63.0ms (35.1% of total)

ival-add: 32.0ms (17.8% of total)

backward-pass: 29.0ms (16.2% of total)

compiled-spec: 23.0ms (12.8% of total)

ival-copysign: 10.0ms (5.6% of total)

ival-mult: 10.0ms (5.6% of total)

ival-sqrt: 8.0ms (4.5% of total)

ival-fabs: 4.0ms (2.2% of total)

const: 1.0ms (0.6% of total)

series5.0ms (0.1%)

Counts

8 → 96

Calls

Call 1

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

24 calls:

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

rewrite280.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2410×	`-lowering-.f32`
2410×	`-lowering-.f64`
1896×	`/-lowering-/.f32`
1896×	`/-lowering-/.f64`
1588×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	73	49
2	460	49
3	5649	49
0	8402	49

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 210

Calls

Call 1

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

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

simplify290.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4210×	`-lowering-.f32`
4210×	`-lowering-.f64`
2106×	`sum3-define`
1798×	`fma-lowering-fma.f32`
1798×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	1263
1	507	1104
2	1738	1076
3	6587	1071
0	8055	1071

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

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

eval55.0ms (0.6%)

Compiler: Compiled 8885 to 794 computations (91.1% saved)

prune33.0ms (0.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	307	15	322
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	307	17	324

Accuracy

100.0%

Counts

324 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(copysign.f64 (-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))) x)
	56.5%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
	56.1%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
	50.5%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
▶	67.4%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	13.4%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))) x) x)) x)
	8.3%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
	4.9%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
✓	50.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	24.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) x))) x)
	10.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
▶	24.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))) x)
▶	25.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
✓	29.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
▶	26.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
	18.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
▶	8.9%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 467 to 298 computations (36.2% saved)

simplify312.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	512	(+.f64 (fabs.f64 x) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	512	(log.f64 (+.f64 (fabs.f64 x) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	512	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))) x)
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	cost-diff	256	(+.f64 (fabs.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	cost-diff	256	(log.f64 (+.f64 (fabs.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	cost-diff	256	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) x)
✓	cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) x))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(copysign.f64 (log.f64 x) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(log1p.f64 (fabs.f64 x))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)

Rules

5726×	`-lowering-.f32`
5726×	`-lowering-.f64`
3222×	`cube-prod`
2902×	`fma-define`
2192×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	233
1	62	213
2	148	212
3	373	181
4	920	181
5	1339	181
6	2232	181
7	3759	181
8	4203	181
9	4820	181
10	5606	181
11	5935	181
12	6110	181
13	6503	181
14	6529	181
15	6561	181
16	7356	181
0	8090	181

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

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

localize144.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(log.f64 (+.f64 (fabs.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) x)
✓	accuracy	100.0%	(log.f64 (+.f64 (fabs.f64 x) x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 x) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)

Results

65.0ms	195×	0	invalid
20.0ms	61×	0	valid

Compiler

Compiled 256 to 28 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-add: 16.0ms (26.3% of total)

ival-log: 14.0ms (23% of total)

ival-copysign: 10.0ms (16.4% of total)

ival-mult: 9.0ms (14.8% of total)

compiled-spec: 6.0ms (9.9% of total)

ival-div: 4.0ms (6.6% of total)

ival-fabs: 2.0ms (3.3% of total)

const: 1.0ms (1.6% of total)

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

series131.0ms (1.3%)

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(log (+ 1 (fabs x)))
23.0ms	x	@	inf	(log x)
22.0ms	x	@	inf	(log (+ 1 (fabs x)))
18.0ms	x	@	-inf	(log (+ 1 (fabs x)))
14.0ms	x	@	0	(log x)

rewrite305.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2832×	`/-lowering-/.f32`
2832×	`/-lowering-/.f64`
2644×	`-lowering-.f32`
2644×	`-lowering-.f64`
1866×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	178
1	144	156
2	1640	136
0	8338	136

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 333

Calls

Call 1

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

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

simplify284.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5428×	`-lowering-.f32`
5428×	`-lowering-.f64`
2212×	`+-lowering-+.f64`
2212×	`+-lowering-+.f32`
1864×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	2051
1	746	1919
2	2420	1825
0	8465	1825

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval95.0ms (1%)

Compiler: Compiled 16997 to 2192 computations (87.1% saved)

prune93.0ms (0.9%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	664	8	672
Fresh	0	10	10
Picked	2	3	5
Done	0	2	2
Total	666	23	689

Accuracy

100.0%

Counts

689 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(copysign.f64 (-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)))) x)
▶	19.6%	(copysign.f64 (-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))) x)
▶	56.5%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
	56.1%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
▶	4.2%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
	50.5%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))) x)
✓	67.4%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	1.4%	(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 x (.f64 x x))))) (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 x (.f64 x x)))))) (.f64 x x)) (-.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 x (*.f64 x x))))) (fabs.f64 x)))) x)
	4.2%	(copysign.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))) x)
	24.9%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
	13.4%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))) x) x)) x)
▶	8.3%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
	24.6%	(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) (+.f64 x (fabs.f64 x)))) x)
	24.5%	(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) x)
	4.9%	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) x)
	25.7%	(copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x)
✓	50.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	24.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) x))) x)
▶	10.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
✓	29.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
✓	26.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
	18.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
✓	8.9%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 886 to 424 computations (52.1% saved)

simplify212.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	1152	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
✓	cost-diff	1152	(log1p.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))
✓	cost-diff	1152	(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))
✓	cost-diff	1152	(copysign.f64 (-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	128	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	128	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) x)
✓	cost-diff	1152	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
✓	cost-diff	1152	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))
✓	cost-diff	1152	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
✓	cost-diff	1152	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(log.f64 (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	0	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(log1p.f64 (fabs.f64 x))
✓	cost-diff	0	(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
✓	cost-diff	0	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)

Rules

1976×	`-lowering-.f32`
1976×	`-lowering-.f64`
1864×	`fma-lowering-fma.f32`
1864×	`fma-lowering-fma.f64`
1744×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	516
1	90	438
2	213	422
3	599	387
4	2075	372
5	5593	372
0	8247	372

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

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

localize455.0ms (4.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log1p.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x))))))
✓	accuracy	99.3%	(log1p.f64 (.f64 x (.f64 x x)))
✓	accuracy	99.2%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	99.3%	(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
✓	accuracy	99.3%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	99.2%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(log.f64 (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)

Results

234.0ms	62×	5	exit
96.0ms	192×	0	invalid
4.0ms	2×	2	valid

Compiler

Compiled 703 to 38 computations (94.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-log: 67.0ms (26% of total)

compiled-spec: 50.0ms (19.4% of total)

backward-pass: 36.0ms (14% of total)

ival-add: 32.0ms (12.4% of total)

ival-mult: 26.0ms (10.1% of total)

ival-copysign: 20.0ms (7.8% of total)

ival-div: 12.0ms (4.7% of total)

ival-sub: 8.0ms (3.1% of total)

ival-fabs: 3.0ms (1.2% of total)

ival-neg: 3.0ms (1.2% of total)

const: 2.0ms (0.8% of total)

series48.0ms (0.5%)

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 (- 0 x)) x)>
#<alt (log (- 0 x))>
#<alt (- 0 x)>
#<alt (log (/ (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x)))))>
#<alt (/ (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))>
#<alt (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))>
#<alt (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))>
#<alt (copysign (log (+ (fabs x) (+ 1 (* x (* x 1/2))))) x)>
#<alt (log (+ (fabs x) (+ 1 (* x (* x 1/2)))))>
#<alt (+ (fabs x) (+ 1 (* x (* x 1/2))))>
#<alt (copysign (- (log (+ 1 (* x (* x x)))) (log (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) x)>
#<alt (- (log (+ 1 (* x (* x x)))) (log (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))))>
#<alt (log (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))>
#<alt (* x 1/2)>
#<alt (* x (* x 1/2))>
#<alt (neg (log (/ (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))) (+ 1 (* x (* x x))))))>
#<alt (* x x)>
#<alt (log (+ 1 (* 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 (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/3 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))) 1))>
#<alt (log (/ 1 x))>
#<alt (- (log (/ 1 x)) (/ 1 x))>
#<alt (- (+ (log (/ 1 x)) (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ (log (/ 1 x)) (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))>
#<alt (+ (log -1) (log (/ -1 x)))>
#<alt (- (+ (log -1) (log (/ -1 x))) (/ 1 x))>
#<alt (+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))))>
#<alt (+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)>
#<alt (copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)>
#<alt (copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)>
#<alt (copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)>
#<alt (copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)>
#<alt (copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)>
#<alt (copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)>
#<alt (copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)>
#<alt (copysign (- (log (- 1 (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) x)>
#<alt (copysign (- (log (- 1 (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) x)>
#<alt (copysign (- (log (- 1 (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) x)>
#<alt (copysign (- (log (- 1 (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (* -2 (log (/ 1 x))))>
#<alt (- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))>
#<alt (- (+ (* -3 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))>
#<alt (- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 x))) (/ 1 x))) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (* -2 (log (/ -1 x))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* 2/3 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (+ 2/3 (* 1/4 x))))) 1))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (- (* -2 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (- (* -2 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 x))) 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 x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (/ 1 x) (log (/ 1 x)))>
#<alt (- (/ 1 x) (+ (log (/ 1 x)) (/ 1/2 (pow x 2))))>
#<alt (- (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) (+ (log (/ 1 x)) (/ 1/2 (pow x 2))))>
#<alt (* -1 (+ (log -1) (log (/ -1 x))))>
#<alt (- (/ 1 x) (+ (log -1) (log (/ -1 x))))>
#<alt (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (+ (log -1) (log (/ -1 x))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (+ (log -1) (log (/ -1 x))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* -1/2 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 3) (- (* 1/3 (pow x 3)) 1/2))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 3) (- (* (pow x 3) (+ 1/3 (* -1/4 (pow x 3)))) 1/2))))>
#<alt (* -3 (log (/ 1 x)))>
#<alt (+ (* -3 (log (/ 1 x))) (/ 1 (pow x 3)))>
#<alt (- (+ (* -3 (log (/ 1 x))) (/ 1 (pow x 3))) (/ 1/2 (pow x 6)))>
#<alt (- (+ (* -3 (log (/ 1 x))) (+ (/ 1 (pow x 3)) (* 1/3 (/ 1 (pow x 9))))) (/ 1/2 (pow x 6)))>
#<alt (+ (log -1) (* -3 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -3 (log (/ -1 x))) (/ 1 (pow x 3))))>
#<alt (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1) (pow x 3)))))>
#<alt (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1) (pow x 3)))))>

Calls

66 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log (- 0 x))
8.0ms	x	@	0	(log (- 0 x))
2.0ms	x	@	0	(log (+ 1 (* x (* x x))))
1.0ms	x	@	0	(copysign (- (log (+ 1 (* x (* x x)))) (log (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) x)
1.0ms	x	@	inf	(+ (log (+ 1 (fabs x))) (/ (* x (* x 1/2)) (+ (fabs x) 1)))

rewrite505.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4910×	`-lowering-.f32`
4910×	`-lowering-.f64`
2728×	`/-lowering-/.f32`
2728×	`/-lowering-/.f64`
2364×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	263
1	255	228
2	2618	106
0	11098	106

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 565

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

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

simplify361.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3856×	`+-lowering-+.f64`
3856×	`+-lowering-+.f32`
3712×	`-lowering-.f32`
3712×	`-lowering-.f64`
1642×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	2753
1	965	2533
2	2961	2477
0	8151	2477

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)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/3 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))) 1))
(log (/ 1 x))
(- (log (/ 1 x)) (/ 1 x))
(- (+ (log (/ 1 x)) (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ (log (/ 1 x)) (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))
(+ (log -1) (log (/ -1 x)))
(- (+ (log -1) (log (/ -1 x))) (/ 1 x))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- x 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)
(copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)
(copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)
(copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)
(copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)
(copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)
(copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)
(copysign (- (log (+ 1 (pow x 3))) (log (- (+ 1 (/ (pow x 6) (+ (pow x 2) (+ (pow x 3) (pow x 4))))) (/ (pow x 3) (+ (pow x 2) (+ (pow x 3) (pow x 4))))))) x)
(copysign (- (log (- 1 (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) x)
(copysign (- (log (- 1 (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) x)
(copysign (- (log (- 1 (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) x)
(copysign (- (log (- 1 (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))
(- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (* -2 (log (/ 1 x))))
(- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))
(- (+ (* -3 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))
(- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))
(- (+ (log -1) (+ (* -3 (log (/ -1 x))) (/ 1 x))) (* -2 (log (/ -1 x))))
(- (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (* -2 (log (/ -1 x))))
(- (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (* -2 (log (/ -1 x))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* 2/3 x))) 1))
(* x (- (* x (+ 1/2 (* x (+ 2/3 (* 1/4 x))))) 1))
(* -2 (log (/ 1 x)))
(- (* -2 (log (/ 1 x))) (/ 1 x))
(- (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 x))
(* -2 (log (/ -1 x)))
(- (* -2 (log (/ -1 x))) (/ 1 x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 x))) 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))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(- (/ 1 x) (log (/ 1 x)))
(- (/ 1 x) (+ (log (/ 1 x)) (/ 1/2 (pow x 2))))
(- (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) (+ (log (/ 1 x)) (/ 1/2 (pow x 2))))
(* -1 (+ (log -1) (log (/ -1 x))))
(- (/ 1 x) (+ (log -1) (log (/ -1 x))))
(- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (+ (log -1) (log (/ -1 x))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (+ (log -1) (log (/ -1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 3))))
(* (pow x 3) (+ 1 (* (pow x 3) (- (* 1/3 (pow x 3)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 3) (- (* (pow x 3) (+ 1/3 (* -1/4 (pow x 3)))) 1/2))))
(* -3 (log (/ 1 x)))
(+ (* -3 (log (/ 1 x))) (/ 1 (pow x 3)))
(- (+ (* -3 (log (/ 1 x))) (/ 1 (pow x 3))) (/ 1/2 (pow x 6)))
(- (+ (* -3 (log (/ 1 x))) (+ (/ 1 (pow x 3)) (* 1/3 (/ 1 (pow x 9))))) (/ 1/2 (pow x 6)))
(+ (log -1) (* -3 (log (/ -1 x))))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (/ 1 (pow x 3))))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1) (pow x 3)))))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1) (pow x 3)))))

Outputs
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
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(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
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(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
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(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
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(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
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(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
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(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
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(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x))))
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(log (+ 1 (fabs x)))
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(log (+ 1 (fabs x)))
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(log (+ 1 (fabs x)))
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(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
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(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
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(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
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(fabs.f64 x)
(fabs x)
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(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
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(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (- (* x (+ 1/2 (* -1/3 x))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* x (- (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x #s(literal 1/4 binary64))))))))
(log (/ 1 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(- (log (/ 1 x)) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 x))
(- (+ (log (/ 1 x)) (/ 1/2 (pow x 2))) (/ 1 x))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (log.f64 x))
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(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (log.f64 x))
(+ (log -1) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -1) (log (/ -1 x))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
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(copysign.f64 (-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))))) x)
(copysign (- (log (- 1 (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (/ (pow x 3) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3))))) (/ (pow x 6) (- (+ (pow x 2) (pow x 4)) (* -1 (pow x 3)))))))) x)
(copysign.f64 (-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
(- (* -3 (log (/ 1 x))) (* -2 (log (/ 1 x))))
(log.f64 x)
(- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -3 (log (/ 1 x))) (/ 1 x)) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -3 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (log.f64 x)))
(- (+ (log -1) (* -3 (log (/ -1 x)))) (* -2 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -1) (+ (* -3 (log (/ -1 x))) (/ 1 x))) (* -2 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (* -2 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (* -2 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (- (* x (+ 1/2 (* 2/3 x))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2/3 binary64))))))
(* x (- (* x (+ 1/2 (* x (+ 2/3 (* 1/4 x))))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 2/3 binary64)))))))
(* -2 (log (/ 1 x)))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(- (* -2 (log (/ 1 x))) (/ 1 x))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal -1 binary64) x))
(- (+ (* -2 (log (/ 1 x))) (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 x))
(+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -2 (log (/ -1 x)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(- (* -2 (log (/ -1 x))) (/ 1 x))
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 x))) x))) x)))
(-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) x)) x)) x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(- (/ 1 x) (log (/ 1 x)))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) (+ (log (/ 1 x)) (/ 1/2 (pow x 2))))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) (+ (log (/ 1 x)) (/ 1/2 (pow x 2))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (log.f64 x)))
(* -1 (+ (log -1) (log (/ -1 x))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (/ 1 x) (+ (log -1) (log (/ -1 x))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (+ (log -1) (log (/ -1 x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (+ (log -1) (log (/ -1 x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (* -1/2 (pow x 3))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64)))))
(* (pow x 3) (+ 1 (* (pow x 3) (- (* 1/3 (pow x 3)) 1/2))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))))
(* (pow x 3) (+ 1 (* (pow x 3) (- (* (pow x 3) (+ 1/3 (* -1/4 (pow x 3)))) 1/2))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64))))))))))
(* -3 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(+ (* -3 (log (/ 1 x))) (/ 1 (pow x 3)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(- (+ (* -3 (log (/ 1 x))) (/ 1 (pow x 3))) (/ 1/2 (pow x 6)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(- (+ (* -3 (log (/ 1 x))) (+ (/ 1 (pow x 3)) (* 1/3 (/ 1 (pow x 9))))) (/ 1/2 (pow x 6)))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (*.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 9 binary64))))
(+ (log -1) (* -3 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (/ 1 (pow x 3))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1) (pow x 3)))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1) (pow x 3)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))))

eval294.0ms (3%)

Compiler: Compiled 63753 to 5645 computations (91.1% saved)

prune230.0ms (2.3%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1645	8	1653
Fresh	5	8	13
Picked	5	0	5
Done	2	3	5
Total	1657	19	1676

Accuracy

100.0%

Counts

1676 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
▶	6.6%	(copysign.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
	11.2%	(copysign.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) x)
▶	59.3%	(copysign.f64 (log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) x)
▶	60.4%	(copysign.f64 (log1p.f64 x) x)
	1.4%	(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 x (.f64 x x))))) (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 x (.f64 x x)))))) (.f64 x x)) (-.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 x (*.f64 x x))))) (fabs.f64 x)))) x)
	6.5%	(copysign.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) x)
	24.9%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
	13.4%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))) x) x)) x)
	24.6%	(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) (+.f64 x (fabs.f64 x)))) x)
	24.5%	(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) x)
	25.7%	(copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x)
	10.1%	(copysign.f64 (log.f64 (+.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1 binary64))) x)
✓	50.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
▶	24.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) x))) x)
✓	29.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
✓	26.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
	8.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	56.3%	(copysign.f64 x x)

Compiler

Compiled 645 to 315 computations (51.2% saved)

simplify187.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2572×	`fnmadd-define`
1618×	`fmsub-define`
1602×	`sum3-define`
1560×	`fnmsub-define`
1400×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	128
1	49	123
2	83	123
3	146	123
4	193	123
5	318	123
6	822	123
7	1209	123
8	1993	123
9	3317	123
10	5495	123
11	6934	123
12	7167	123
13	7305	123
14	7371	123
15	7375	123
0	7375	123

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize502.0ms (5.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	accuracy	99.6%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(log.f64 (+.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) x)))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	100.0%	(log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))
✓	accuracy	100.0%	(copysign.f64 x x)
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 x) x)
✓	accuracy	100.0%	(log1p.f64 x)

Results

372.0ms	60×	5	exit
54.0ms	192×	0	invalid
1.0ms	3×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions

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

ival-log: 36.0ms (28.1% of total)

compiled-spec: 24.0ms (18.7% of total)

backward-pass: 22.0ms (17.2% of total)

ival-copysign: 15.0ms (11.7% of total)

ival-add: 13.0ms (10.1% of total)

ival-mult: 11.0ms (8.6% of total)

ival-div: 3.0ms (2.3% of total)

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

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

const: 1.0ms (0.8% of total)

series8.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite239.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2450×	`-lowering-.f32`
2450×	`-lowering-.f64`
2348×	`/-lowering-/.f32`
2348×	`/-lowering-/.f64`
1622×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	137	103
2	1308	95
0	10338	95

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 384

Calls

Call 1

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

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

simplify289.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4750×	`-lowering-.f32`
4750×	`-lowering-.f64`
3286×	`+-lowering-+.f64`
3286×	`+-lowering-+.f32`
1938×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	1806
1	747	1675
2	2255	1626
0	8562	1626

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval82.0ms (0.8%)

Compiler: Compiled 11705 to 1909 computations (83.7% saved)

prune74.0ms (0.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	657	3	660
Fresh	4	7	11
Picked	3	2	5
Done	2	1	3
Total	666	13	679

Accuracy

100.0%

Counts

679 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	(copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x)
	11.2%	(copysign.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) x)
✓	60.4%	(copysign.f64 (log1p.f64 x) x)
	1.4%	(copysign.f64 (log.f64 (/.f64 (-.f64 (.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 x (.f64 x x))))) (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 x (.f64 x x)))))) (.f64 x x)) (-.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 x (*.f64 x x))))) (fabs.f64 x)))) x)
	13.4%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))) x) x)) x)
	23.2%	(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x)
	24.6%	(copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) (+.f64 x (fabs.f64 x)))) x)
	24.5%	(copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) x)
	25.7%	(copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x)
✓	50.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
	24.9%	(copysign.f64 (log.f64 (+.f64 x x)) x)
	8.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	56.3%	(copysign.f64 x x)

Compiler

Compiled 813 to 278 computations (65.8% saved)

regimes25.0ms (0.3%)

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

11.0ms	x
10.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
62.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
62.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.4b remaining (-1.6%)

Threshold costs -0.4b (-1.6%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(copysign.f64 x x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
56.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00013975277410518345	1.5846948405934345
0.0ms	-14.199752939096093	-0.00022089139984484907

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.00013975277456022188	2.3363961498030656
18.0ms	-734250.6677821883	-0.00022089140164111118

Results

26.0ms

272×

valid

Compiler

Compiled 480 to 332 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 3.0ms (20.9% of total)

ival-log: 3.0ms (20.9% of total)

ival-copysign: 2.0ms (13.9% of total)

ival-fabs: 2.0ms (13.9% of total)

ival-mult: 2.0ms (13.9% of total)

ival-sqrt: 2.0ms (13.9% of total)

const: 0.0ms (0% of total)

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

bsearch68.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.00013975277456022188	2.3363961498030656
45.0ms	-734250.6677821883	-0.00022089140164111118

Results

49.0ms

272×

valid

Compiler

Compiled 432 to 300 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 30.0ms (70.5% of total)

ival-add: 3.0ms (7.1% of total)

ival-log: 3.0ms (7.1% of total)

ival-copysign: 2.0ms (4.7% of total)

ival-fabs: 2.0ms (4.7% of total)

ival-sqrt: 2.0ms (4.7% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.00013975277456022188	2.3363961498030656
18.0ms	-734250.6677821883	-0.00022089140164111118

Results

25.0ms

272×

valid

Compiler

Compiled 456 to 316 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 3.0ms (21.2% of total)

ival-log: 3.0ms (21.2% of total)

ival-copysign: 2.0ms (14.1% of total)

ival-fabs: 2.0ms (14.1% of total)

ival-mult: 2.0ms (14.1% of total)

ival-sqrt: 2.0ms (14.1% of total)

const: 0.0ms (0% of total)

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

bsearch61.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.00013975277456022188	2.3363961498030656
35.0ms	-734250.6677821883	-0.00022089140164111118

Results

49.0ms

272×

valid

Compiler

Compiled 392 to 268 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 21.0ms (64.6% of total)

ival-log: 3.0ms (9.2% of total)

ival-copysign: 2.0ms (6.2% of total)

ival-fabs: 2.0ms (6.2% of total)

ival-mult: 2.0ms (6.2% of total)

ival-sqrt: 2.0ms (6.2% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.00013975277456022188	2.3363961498030656
18.0ms	-734250.6677821883	-0.00022089140164111118

Results

26.0ms

272×

valid

Compiler

Compiled 383 to 268 computations (30% saved)

Precisions

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

ival-log: 7.0ms (37.6% of total)

ival-add: 3.0ms (16.1% of total)

ival-copysign: 2.0ms (10.8% of total)

ival-fabs: 2.0ms (10.8% of total)

ival-mult: 2.0ms (10.8% of total)

ival-sqrt: 2.0ms (10.8% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.00013975277456022188	2.3363961498030656
18.0ms	-734250.6677821883	-0.00022089140164111118

Results

25.0ms

272×

valid

Compiler

Compiled 365 to 250 computations (31.5% saved)

Precisions

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

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

ival-sqrt: 4.0ms (22.7% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-734250.6677821883	-0.00022089140164111118

Results

12.0ms

144×

valid

Compiler

Compiled 134 to 93 computations (30.6% saved)

Precisions

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

ival-log: 2.0ms (25.8% of total)

ival-copysign: 1.0ms (12.9% of total)

ival-add: 1.0ms (12.9% of total)

ival-fabs: 1.0ms (12.9% of total)

ival-mult: 1.0ms (12.9% of total)

ival-sqrt: 1.0ms (12.9% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.00013975277456022188	2.3363961498030656

Results

10.0ms

128×

valid

Compiler

Compiled 169 to 116 computations (31.4% saved)

Precisions

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

ival-copysign: 1.0ms (15.1% of total)

ival-add: 1.0ms (15.1% of total)

ival-log: 1.0ms (15.1% of total)

ival-fabs: 1.0ms (15.1% of total)

ival-mult: 1.0ms (15.1% of total)

ival-sqrt: 1.0ms (15.1% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.00013975277456022188	2.3363961498030656

Results

10.0ms

128×

valid

Compiler

Compiled 169 to 116 computations (31.4% saved)

Precisions

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

ival-copysign: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

ival-log: 1.0ms (15.3% of total)

ival-fabs: 1.0ms (15.3% of total)

ival-mult: 1.0ms (15.3% of total)

ival-sqrt: 1.0ms (15.3% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
14×	`*-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-mul-1_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	319
1	123	319
2	131	319
3	135	319

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x #s(literal -3715469692580659/1125899906842624 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x #s(literal -7/2 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 2 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x))) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x #s(literal -3715469692580659/1125899906842624 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x #s(literal -3715469692580659/1125899906842624 binary64)) (copysign.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x #s(literal -7/2 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x #s(literal -7/2 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 2 binary64)) (copysign.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

soundness2.7s (27.8%)

Rules

5428×	`-lowering-.f32`
5428×	`-lowering-.f64`
4910×	`-lowering-.f32`
4910×	`-lowering-.f64`
4750×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	2753
1	965	2533
2	2961	2477
0	8151	2477
0	37	263
1	255	228
2	2618	106
0	11098	106
0	28	178
1	144	156
2	1640	136
0	8338	136
0	25	108
1	137	103
2	1308	95
0	10338	95
0	253	1806
1	747	1675
2	2255	1626
0	8562	1626
0	256	2051
1	746	1919
2	2420	1825
0	8465	1825
0	167	1263
1	507	1104
2	1738	1076
3	6587	1071
0	8055	1071
0	9	11
1	14	9
2	15	9
3	16	9
0	16	9

Stop Event

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

Compiler

Compiled 809 to 423 computations (47.7% saved)

preprocess82.0ms (0.8%)

Compiler: Compiled 738 to 230 computations (68.8% saved)

analyze0.0ms (0%)

sample576.0ms (5.9%)

preprocess13.0ms (0.1%)

explain210.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize258.0ms (2.6%)

series5.0ms (0.1%)

rewrite280.0ms (2.9%)

simplify290.0ms (3%)

eval55.0ms (0.6%)

prune33.0ms (0.3%)

simplify312.0ms (3.2%)

localize144.0ms (1.5%)

series131.0ms (1.3%)

rewrite305.0ms (3.1%)

simplify284.0ms (2.9%)

eval95.0ms (1%)

prune93.0ms (0.9%)

simplify212.0ms (2.2%)

localize455.0ms (4.6%)

series48.0ms (0.5%)

rewrite505.0ms (5.1%)

simplify361.0ms (3.7%)

eval294.0ms (3%)

prune230.0ms (2.3%)

simplify187.0ms (1.9%)

localize502.0ms (5.1%)

series8.0ms (0.1%)

rewrite239.0ms (2.4%)

simplify289.0ms (2.9%)

eval82.0ms (0.8%)

prune74.0ms (0.8%)

regimes25.0ms (0.3%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch38.0ms (0.4%)

bsearch68.0ms (0.7%)

bsearch37.0ms (0.4%)

bsearch61.0ms (0.6%)

bsearch38.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch21.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch17.0ms (0.2%)

simplify14.0ms (0.1%)

soundness2.7s (27.8%)

preprocess82.0ms (0.8%)

end0.0ms (0%)

Profiling