Metrics for Jmat.Real.lambertw, estimator

analyze2.0ms (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%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

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)

sample613.0ms (23.5%)

Results

459.0ms	8256×	0	valid
0.0ms	11×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-log: 209.0ms (76.5% of total)

ival-sub: 55.0ms (20.1% of total)

const: 7.0ms (2.6% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess36.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

244×	`fnmadd-define`
234×	`sum3-define`
176×	`fmsub-define`
168×	`fnmsub-define`
160×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	19	23
2	41	22
3	82	22
4	169	22
5	354	22
6	534	22
7	696	22
8	786	22
9	892	22
10	970	22
11	976	22
0	4	6
1	6	6
2	11	6
3	18	6
4	28	6
5	60	6
6	119	6
7	208	6
8	291	6
9	397	6
10	475	6
11	481	6
0	481	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (log x) (log (log x)))

Outputs
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Call 2

Inputs
(- (log x) (log (log x)))
(- (log (neg x)) (log (log (neg x))))
(neg (- (log (neg x)) (log (log (neg x)))))

Outputs
(- (log x) (log (log x)))
(- (log (neg x)) (log (log (neg x))))
(neg (- (log (neg x)) (log (log (neg x)))))
(- (log (log (neg x))) (log (neg x)))

explain61.0ms (2.3%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
-	-	`x`
-	-	`(log.f64 x)`
-	-	`(log.f64 (log.f64 x))`

Results

34.0ms

512×

valid

Compiler

Compiled 35 to 14 computations (60% saved)

Precisions

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

ival-log: 12.0ms (72.2% of total)

ival-sub: 4.0ms (24.1% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	6	12
2	11	12
3	18	12
4	28	12
5	60	12
6	119	12
7	208	12
8	291	12
9	397	12
10	475	12
11	481	12
0	481	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (log x) (log (log x)))
(log x)
x
(log (log x))

Outputs
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log x)
(log.f64 x)
x
(log (log x))
(log.f64 (log.f64 x))

localize23.0ms (0.9%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.9%	(log.f64 (log.f64 x))
✓	accuracy	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Results

16.0ms

256×

valid

Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions

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

ival-log: 7.0ms (78.9% of total)

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

const: 0.0ms (0% of total)

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

series121.0ms (4.6%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	x	@	-inf	(- (log x) (log (log x)))
48.0ms	x	@	0	(- (log x) (log (log x)))
23.0ms	x	@	inf	(- (log x) (log (log x)))
0.0ms	x	@	0	(log x)
0.0ms	x	@	-inf	(log x)

rewrite296.0ms (11.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2644×	`/-lowering-/.f32`
2644×	`/-lowering-/.f64`
2430×	`-lowering-.f32`
2430×	`-lowering-.f64`
2118×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	21	10
2	154	10
3	1554	10
0	8713	10

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 221

Calls

Call 1

Inputs
(- (log x) (log (log x)))
(log x)
(log (log x))

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

simplify53.0ms (2%)

Algorithm

1×	egg-herbie

Rules

568×	`sum5-define`
474×	`fnmadd-define`
444×	`sum4-define`
426×	`sum3-define`
392×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	228
1	37	212
2	73	212
3	152	212
4	351	212
5	644	212
6	1274	212
7	1843	212
8	2066	212
9	2092	212
0	2092	212

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

eval39.0ms (1.5%)

Compiler: Compiled 12851 to 722 computations (94.4% saved)

prune27.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	271	2	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	272	2	274

Accuracy

100.0%

Counts

274 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(/.f64 (log.f64 x) x)
✓	cost-diff	0	(log.f64 (/.f64 (log.f64 x) x))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(/.f64 x (log.f64 x))
✓	cost-diff	0	(log.f64 (/.f64 x (log.f64 x)))

Rules

8×	`sum3-define`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`log-lowering-log.f64`
6×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	11	30
2	13	30
3	15	30
4	21	30
5	25	30
6	31	30
7	34	30
0	34	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (/ x (log x)))
(/ x (log x))
x
(log x)
(neg (log (/ (log x) x)))
(log (/ (log x) x))
(/ (log x) x)
(log x)
x

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

localize40.0ms (1.6%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
✓	accuracy	100.0%	(log.f64 (/.f64 (log.f64 x) x))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.6%	(/.f64 (log.f64 x) x)
✓	accuracy	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.5%	(/.f64 x (log.f64 x))

Results

28.0ms

256×

valid

Compiler

Compiled 32 to 8 computations (75% saved)

Precisions

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

ival-log: 9.0ms (64.3% of total)

ival-div: 4.0ms (28.6% of total)

ival-neg: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

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

series143.0ms (5.5%)

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
58.0ms	x	@	-inf	(log (/ (log x) x))
26.0ms	x	@	-inf	(log (/ x (log x)))
25.0ms	x	@	inf	(log (/ x (log x)))
17.0ms	x	@	0	(log (/ x (log x)))
8.0ms	x	@	0	(log (/ (log x) x))

rewrite259.0ms (9.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3570×	`-lowering-.f32`
3570×	`-lowering-.f64`
3058×	`/-lowering-/.f32`
3058×	`/-lowering-/.f64`
1568×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	26	25
2	135	25
3	929	25
0	8949	25

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 787

Calls

Call 1

Inputs
(log (/ x (log x)))
(/ x (log x))
(log x)
(log (/ (log x) x))
(/ (log x) x)
(neg (log (/ (log x) x)))

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

simplify106.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

930×	`fnmadd-define`
690×	`sum3-define`
636×	`fnmsub-define`
636×	`fmsub-define`
620×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	40	556
1	96	500
2	190	496
3	381	496
4	831	496
5	1441	496
6	2580	456
7	3363	456
8	3909	456
9	3930	456
10	3949	456
11	3957	456
0	3957	456

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

eval98.0ms (3.8%)

Compiler: Compiled 18838 to 1790 computations (90.5% saved)

prune332.0ms (12.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	903	0	903
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	903	2	905

Accuracy

100.0%

Counts

905 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

regimes5.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

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

Calls

3 calls:

2.0ms	(log.f64 x)
2.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
100.0%	1	`(log.f64 x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes1.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))

Outputs
(log.f64 (/.f64 x (log.f64 x)))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	13	11
3	14	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))

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

soundness302.0ms (11.6%)

Rules

2644×	`/-lowering-/.f32`
2644×	`/-lowering-/.f64`
2430×	`-lowering-.f32`
2430×	`-lowering-.f64`
2118×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	21	10
2	154	10
3	1554	10
0	8713	10

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 26 to 17 computations (34.6% saved)

preprocess24.0ms (0.9%)

Compiler: Compiled 40 to 24 computations (40% saved)

Jmat.Real.lambertw, estimator

analyze2.0ms (0.1%)

sample613.0ms (23.5%)

preprocess36.0ms (1.4%)

explain61.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.5%)

localize23.0ms (0.9%)

series121.0ms (4.6%)

rewrite296.0ms (11.3%)

simplify53.0ms (2%)

eval39.0ms (1.5%)

prune27.0ms (1%)

simplify5.0ms (0.2%)

localize40.0ms (1.6%)

series143.0ms (5.5%)

rewrite259.0ms (9.9%)

simplify106.0ms (4.1%)

eval98.0ms (3.8%)

prune332.0ms (12.7%)

regimes5.0ms (0.2%)

regimes1.0ms (0.1%)

simplify10.0ms (0.4%)

soundness302.0ms (11.6%)

preprocess24.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	23
1	19	23
2	41	22
3	82	22
4	169	22
5	354	22
6	534	22
7	696	22
8	786	22
9	892	22
10	970	22
11	976	22
0	4	6
1	6	6
2	11	6
3	18	6
4	28	6
5	60	6
6	119	6
7	208	6
8	291	6
9	397	6
10	475	6
11	481	6
0	481	6

Iter	Nodes	Cost
0	4	12
1	6	12
2	11	12
3	18	12
4	28	12
5	60	12
6	119	12
7	208	12
8	291	12
9	397	12
10	475	12
11	481	12
0	481	12

Iter	Nodes	Cost
0	9	23
1	19	23
2	41	22
3	82	22
4	169	22
5	354	22
6	534	22
7	696	22
8	786	22
9	892	22
10	970	22
11	976	22
0	4	6
1	6	6
2	11	6
3	18	6
4	28	6
5	60	6
6	119	6
7	208	6
8	291	6
9	397	6
10	475	6
11	481	6
0	481	6

Iter	Nodes	Cost
0	4	12
1	6	12
2	11	12
3	18	12
4	28	12
5	60	12
6	119	12
7	208	12
8	291	12
9	397	12
10	475	12
11	481	12
0	481	12

Iter	Nodes	Cost
0	9	23
1	19	23
2	41	22
3	82	22
4	169	22
5	354	22
6	534	22
7	696	22
8	786	22
9	892	22
10	970	22
11	976	22
0	4	6
1	6	6
2	11	6
3	18	6
4	28	6
5	60	6
6	119	6
7	208	6
8	291	6
9	397	6
10	475	6
11	481	6
0	481	6

Iter	Nodes	Cost
0	4	12
1	6	12
2	11	12
3	18	12
4	28	12
5	60	12
6	119	12
7	208	12
8	291	12
9	397	12
10	475	12
11	481	12
0	481	12