Metrics for Jmat.Real.lambertw, estimator

analyze3.0ms (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-log: 1.0ms (137.1% of total)

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

const: 0.0ms (0% of total)

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

sample691.0ms (28.8%)

Results

521.0ms	8256×	0	valid
1.0ms	15×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-log: 232.0ms (77.7% of total)

ival-sub: 55.0ms (18.4% of total)

const: 8.0ms (2.7% of total)

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

Bogosity

preprocess37.0ms (1.6%)

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)))

explain76.0ms (3.2%)

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

52.0ms

512×

valid

Compiler

Compiled 35 to 14 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 16.0ms (81.1% of total)

ival-sub: 3.0ms (15.2% of total)

const: 1.0ms (5.1% 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
▶	99.5%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify13.0ms (0.6%)

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))

localize34.0ms (1.4%)

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	99.5%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Results

27.0ms

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 (80.5% of total)

ival-sub: 2.0ms (23% of total)

const: 0.0ms (0% of total)

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

series132.0ms (5.5%)

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
60.0ms	x	@	0	(- (log x) (log (log x)))
50.0ms	x	@	-inf	(- (log x) (log (log x)))
21.0ms	x	@	inf	(- (log x) (log (log x)))
0.0ms	x	@	0	(log x)
0.0ms	x	@	inf	(log x)

rewrite305.0ms (12.7%)

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	156	10
3	1565	10
0	8745	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 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (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 (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (pow.f64 (+.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 (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 4 binary64)) (+.f64 (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)))))
(.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 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (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)))))
(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))

simplify54.0ms (2.3%)

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))))

eval53.0ms (2.2%)

Compiler: Compiled 12851 to 721 computations (94.4% saved)

prune26.0ms (1.1%)

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
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))))
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (log.f64 x))
✓	cost-diff	0	(log.f64 (/.f64 x (log.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 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

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	36
1	13	36
2	16	36
3	18	36
4	19	36
0	19	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize50.0ms (2.1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.6%	(/.f64 x (log.f64 x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))
✓	accuracy	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.6%	(/.f64 x (log.f64 x))

Results

38.0ms

256×

valid

Compiler

Compiled 43 to 8 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 9.0ms (58.7% of total)

ival-div: 6.0ms (39.1% of total)

const: 0.0ms (0% of total)

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

series68.0ms (2.8%)

Counts

5 → 60

Calls

Call 1

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

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log (/ x (log x)))
21.0ms	x	@	-inf	(log (/ x (log x)))
17.0ms	x	@	0	(log (/ x (log x)))
1.0ms	x	@	-inf	(/ 1 (log (/ x (log x))))
1.0ms	x	@	inf	(/ 1 (log (/ x (log x))))

rewrite209.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2660×	`-lowering-.f32`
2660×	`-lowering-.f64`
2124×	`/-lowering-/.f32`
2124×	`/-lowering-/.f64`
1852×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	36	22
2	153	22
3	754	22
0	8642	22

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 797

Calls

Call 1

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

simplify75.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

576×	`fnmadd-define`
460×	`sum3-define`
416×	`fma-lowering-fma.f32`
416×	`fma-lowering-fma.f64`
388×	`fnmsub-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	28	504
1	50	448
2	79	448
3	176	448
4	406	448
5	715	448
6	1115	416
7	1616	404
8	2019	404
9	2197	404
10	2270	404
11	2292	404
0	2292	404

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

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

eval157.0ms (6.5%)

Compiler: Compiled 27307 to 2170 computations (92.1% saved)

prune103.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1299	0	1299
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	1299	2	1301

Accuracy

100.0%

Counts

1301 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes7.0ms (0.3%)

Accuracy

Total -0.4b remaining (-9900%)

Threshold costs -0.4b (-9900%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(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)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness281.0ms (11.7%)

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	156	10
3	1565	10
0	8745	10

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 12 to 8 computations (33.3% saved)

preprocess16.0ms (0.7%)

Compiler: Compiled 26 to 16 computations (38.5% saved)

Jmat.Real.lambertw, estimator

analyze3.0ms (0.1%)

sample691.0ms (28.8%)

preprocess37.0ms (1.6%)

explain76.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.6%)

localize34.0ms (1.4%)

series132.0ms (5.5%)

rewrite305.0ms (12.7%)

simplify54.0ms (2.3%)

eval53.0ms (2.2%)

prune26.0ms (1.1%)

simplify5.0ms (0.2%)

localize50.0ms (2.1%)

series68.0ms (2.8%)

rewrite209.0ms (8.7%)

simplify75.0ms (3.1%)

eval157.0ms (6.5%)

prune103.0ms (4.3%)

regimes7.0ms (0.3%)

simplify7.0ms (0.3%)

soundness281.0ms (11.7%)

preprocess16.0ms (0.7%)

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