Metrics for neg log

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

const: 0.0ms (0% of total)

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

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

sample801.0ms (28.1%)

Results

548.0ms	8256×	0	valid
1.0ms	15×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-log: 109.0ms (35.4% of total)

ival-div: 96.0ms (31.2% of total)

ival-sub: 49.0ms (15.9% of total)

ival-neg: 42.0ms (13.6% of total)

const: 10.0ms (3.2% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess17.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

68×	`sum3-define`
36×	`fmsub-define`
36×	`sub-neg`
32×	`fma-define`
22×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	29	19
2	50	17
3	76	17
4	123	17
5	156	17
6	174	17
7	194	17
8	211	17
9	213	17
0	6	6
1	14	6
2	17	6
3	19	6
4	25	6
5	29	6
6	35	6
7	38	6
0	38	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(neg (log (- (/ 1 x) 1)))

Outputs
(neg (log (- (/ 1 x) 1)))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))

Call 2

Inputs
(neg (log (- (/ 1 x) 1)))
(neg (log (- (/ 1 (neg x)) 1)))
(neg (neg (log (- (/ 1 (neg x)) 1))))

Outputs
(neg (log (- (/ 1 x) 1)))
(neg (log (+ (recip x) -1)))
(neg (log (- (/ 1 (neg x)) 1)))
(neg (log (- -1 (recip x))))
(neg (neg (log (- (/ 1 (neg x)) 1))))
(log (- -1 (recip x)))

explain114.0ms (4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`

Results

86.0ms

512×

valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sub: 19.0ms (56.4% of total)

ival-log: 7.0ms (20.8% of total)

ival-div: 5.0ms (14.8% of total)

ival-neg: 3.0ms (8.9% of total)

const: 1.0ms (3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	cost-diff	0	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	14	19
2	17	19
3	19	19
4	25	19
5	29	19
6	35	19
7	38	19
0	38	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg (log (- (/ 1 x) 1)))
(log (- (/ 1 x) 1))
(- (/ 1 x) 1)
(/ 1 x)
1
x

Outputs
(neg (log (- (/ 1 x) 1)))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(log (- (/ 1 x) 1))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(- (/ 1 x) 1)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize54.0ms (1.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	accuracy	99.6%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Results

35.0ms

256×

valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log: 16.0ms (74.4% of total)

ival-div: 3.0ms (13.9% of total)

ival-sub: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.6% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log (- (/ 1 x) 1))>
#<alt (- (/ 1 x) 1)>
#<alt (/ 1 x)>
#<alt (neg (log (- (/ 1 x) 1)))>

Outputs
#<alt (* -1 (log x))>
#<alt (+ (* -1 x) (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))>
#<alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 x))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 x))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<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 (log x)>
#<alt (- x (* -1 (log x)))>
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))>
#<alt (* -1 (log -1))>
#<alt (- (/ 1 x) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (/ 1 x) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log (- (/ 1 x) 1))
0.0ms	x	@	0	(neg (log (- (/ 1 x) 1)))
0.0ms	x	@	inf	(log (- (/ 1 x) 1))
0.0ms	x	@	-inf	(log (- (/ 1 x) 1))
0.0ms	x	@	0	(/ 1 x)

rewrite291.0ms (10.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`/-lowering-/.f32`
1804×	`/-lowering-/.f64`
1532×	`-lowering-.f32`
1532×	`-lowering-.f64`
1138×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	35	17
2	243	17
3	2623	17
0	9524	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 295

Calls

Call 1

Inputs
(log (- (/ 1 x) 1))
(- (/ 1 x) 1)
(/ 1 x)
(neg (log (- (/ 1 x) 1)))

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

simplify194.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1944×	`+-lowering-+.f64`
1944×	`+-lowering-+.f32`
1862×	`sum5-define`
1506×	`sum3-define`
1458×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	285
1	209	255
2	510	253
3	1273	242
4	3352	242
0	8209	242

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))

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

eval54.0ms (1.9%)

Compiler: Compiled 8462 to 1102 computations (87% saved)

prune35.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	341	2	343
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	341	3	344

Accuracy

100.0%

Counts

344 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(+.f64 x (log.f64 x))
✓	99.6%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	98.6%	(log.f64 x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(log.f64 x)
✓	cost-diff	(+.f64 x (log.f64 x))
✓	cost-diff	(log.f64 x)

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`log-lowering-log.f64`
2×	`log-lowering-log.f32`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	10
1	4	10
0	4	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log x)
x
(+ x (log x))
x
(log x)

Outputs
(log x)
(log.f64 x)
x
(+ x (log x))
(+.f64 x (log.f64 x))
x
(log x)
(log.f64 x)

localize25.0ms (0.9%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(+.f64 x (log.f64 x))
✓	accuracy	100.0%	(log.f64 x)

Results

19.0ms

256×

valid

Compiler

Compiled 12 to 4 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log: 3.0ms (56.9% of total)

ival-add: 2.0ms (38% of total)

const: 0.0ms (0% of total)

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

series56.0ms (1.9%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (log x)>
#<alt (+ x (log x))>

Outputs
#<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 (log x)>
#<alt (+ x (log x))>
#<alt (+ x (log x))>
#<alt (+ x (log x))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))>
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))>
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))>

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log x)
21.0ms	x	@	-inf	(log x)
6.0ms	x	@	inf	(log x)
0.0ms	x	@	inf	(+ x (log x))
0.0ms	x	@	-inf	(+ x (log x))

rewrite325.0ms (11.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2576×	`/-lowering-/.f32`
2576×	`/-lowering-/.f64`
2334×	`-lowering-.f32`
2334×	`-lowering-.f64`
2168×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
1	17	6
2	142	6
3	1439	6
0	8274	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 133

Calls

Call 1

Inputs
(log x)
(+ x (log x))

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

simplify138.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1768×	`fnmadd-define`
1694×	`sum3-define`
1554×	`fma-define`
1168×	`sum4-define`
1132×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	124
1	56	117
2	135	111
3	420	105
4	1374	99
5	3571	89
0	8255	89

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(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))))
(log x)
(+ x (log x))
(+ x (log x))
(+ x (log x))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))

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

eval28.0ms (1%)

Compiler: Compiled 4964 to 441 computations (91.1% saved)

prune18.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	172	4	176

Accuracy

100.0%

Counts

176 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(+.f64 x (log.f64 x))
✓	99.6%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	98.6%	(log.f64 x)
▶	2.3%	x

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize9.0ms (0.3%)

Results

5.0ms

256×

valid

Compiler

Compiled 3 to 2 computations (33.3% saved)

Precisions

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

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite9.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(+.f64 x (log.f64 x))
✓	99.6%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	98.6%	(log.f64 x)
✓	2.3%	x

Compiler

Compiled 33 to 20 computations (39.4% saved)

regimes13.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.6%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.6%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes2.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(log.f64 x)
(+.f64 x (log.f64 x))

Outputs
(+.f64 x (log.f64 x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(log.f64 x)

Outputs
(log.f64 x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
2.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`neg-mul-1_binary64`
8×	`unsub-neg_binary64`
8×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	17	14
2	22	14
3	28	14
4	35	14
5	44	14

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 x (log.f64 x))
(log.f64 x)
x

soundness575.0ms (20.2%)

Rules

1944×	`+-lowering-+.f64`
1944×	`+-lowering-+.f32`
1862×	`sum5-define`
1768×	`fnmadd-define`
1694×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	124
1	56	117
2	135	111
3	420	105
4	1374	99
5	3571	89
0	8255	89
0	75	285
1	209	255
2	510	253
3	1273	242
4	3352	242
0	8209	242

Stop Event

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess58.0ms (2%)

Compiler: Compiled 48 to 32 computations (33.3% saved)

neg log

analyze4.0ms (0.1%)

sample801.0ms (28.1%)

preprocess17.0ms (0.6%)

explain114.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize54.0ms (1.9%)

series2.0ms (0.1%)

rewrite291.0ms (10.2%)

simplify194.0ms (6.8%)

eval54.0ms (1.9%)

prune35.0ms (1.2%)

simplify5.0ms (0.2%)

localize25.0ms (0.9%)

series56.0ms (1.9%)

rewrite325.0ms (11.4%)

simplify138.0ms (4.8%)

eval28.0ms (1%)

prune18.0ms (0.6%)

simplify3.0ms (0.1%)

localize9.0ms (0.3%)

series0.0ms (0%)

rewrite9.0ms (0.3%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (0.5%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

simplify8.0ms (0.3%)

soundness575.0ms (20.2%)

preprocess58.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	19
1	29	19
2	50	17
3	76	17
4	123	17
5	156	17
6	174	17
7	194	17
8	211	17
9	213	17
0	6	6
1	14	6
2	17	6
3	19	6
4	25	6
5	29	6
6	35	6
7	38	6
0	38	6

Iter	Nodes	Cost
0	12	19
1	29	19
2	50	17
3	76	17
4	123	17
5	156	17
6	174	17
7	194	17
8	211	17
9	213	17
0	6	6
1	14	6
2	17	6
3	19	6
4	25	6
5	29	6
6	35	6
7	38	6
0	38	6

Iter	Nodes	Cost
0	12	19
1	29	19
2	50	17
3	76	17
4	123	17
5	156	17
6	174	17
7	194	17
8	211	17
9	213	17
0	6	6
1	14	6
2	17	6
3	19	6
4	25	6
5	29	6
6	35	6
7	38	6
0	38	6