Metrics for Jmat.Real.lambertw, estimator

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

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 6 computations (25% saved)

sample898.0ms (24.6%)

Memory

29.8MiB live, 1 310.7MiB allocated; 313ms collecting garbage

Samples

577.0ms	8 256×	0	valid
1.0ms	15×	0	invalid

Precisions

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

ival-log: 252.0ms (81.8% of total)

ival-sub: 43.0ms (14% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 4.0ms (1.3% of total)

adjust: 3.0ms (1% of total)

Bogosity

explain69.0ms (1.9%)

Memory

7.1MiB live, 142.3MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

29.0ms

512×

valid

Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions

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

ival-log: 11.0ms (78.2% of total)

ival-sub: 2.0ms (14.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess31.0ms (0.9%)

Memory

-52.1MiB live, 16.6MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	4	6
0	7	6
0	7	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 (log.f64 x))
cost-diff	0	(log.f64 x)
cost-diff	0	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	7	12
0	7	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.5%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 x)
accuracy	0.03515625	(log.f64 (log.f64 x))
accuracy	0.2578125	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Samples

12.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-log: 6.0ms (85.2% of total)

ival-sub: 1.0ms (14.2% of total)

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

adjust: 0.0ms (0% of total)

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

series171.0ms (4.7%)

Memory

24.4MiB live, 207.4MiB allocated; 49ms collecting garbage

Counts

3 → 9

Calls

Call 1

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

Outputs
(- (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))))
(- (+ (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)))))

Calls

3 calls:

Time	Variable		Point	Expression
71.0ms	x	@	-inf	((- (log x) (log (log x))) (log x) (log (log x)))
67.0ms	x	@	0	((- (log x) (log (log x))) (log x) (log (log x)))
34.0ms	x	@	inf	((- (log x) (log (log x))) (log x) (log (log x)))

simplify28.0ms (0.8%)

Memory

-40.7MiB live, 5.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	31	53
2	47	53
3	70	53
4	72	53
0	72	53

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 9

Calls

Call 1

Inputs
(- (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))))
(- (+ (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)))))

Outputs
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log x)
(log.f64 x)
(log (log 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.f64 x)
(log (* -1 (log (/ 1 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))))
(-.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))))

rewrite140.0ms (3.8%)

Memory

29.3MiB live, 212.9MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	10
1	22	10
2	130	10
3	1232	10
0	9362	10

Stop Event

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

Counts

3 → 297

Calls

Call 1

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

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

eval40.0ms (1.1%)

Memory: -3.6MiB live, 85.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 12 357 to 732 computations (94.1% saved)

prune6.0ms (0.2%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	317	3	320
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	4	321

Accuracy

100.0%

Counts

321 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))
▶	25.1%	(log.f64 (*.f64 (log.f64 x) x))

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))))
cost-diff	0	(log.f64 x)
cost-diff	0	(-.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))
cost-diff	5	(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (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)))
cost-diff	0	(log.f64 x)
cost-diff	0	(*.f64 (log.f64 x) x)
cost-diff	0	(log.f64 (*.f64 (log.f64 x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	56
0	19	41
1	26	41
2	50	41
3	83	41
4	102	41
5	117	41
6	132	41
0	132	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)
(-.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))
(log.f64 x)
x
(log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))

Outputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)
(-.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(log.f64 x)
(sqrt.f64 (log.f64 x))

localize38.0ms (1%)

Memory

-18.3MiB live, 40.5MiB allocated; 8ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))))
accuracy	0.11328125	(sqrt.f64 (log.f64 x))
accuracy	0.2578125	(-.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))
accuracy	0.4990425293053261	(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
accuracy	0.0	(log.f64 (/.f64 x (log.f64 x)))
accuracy	0.0	(log.f64 x)
accuracy	0.24609375	(/.f64 x (log.f64 x))
accuracy	0.0	(log.f64 x)
accuracy	0.23828125	(*.f64 (log.f64 x) x)
accuracy	0.48427118719377177	(log.f64 (*.f64 (log.f64 x) x))

Samples

29.0ms

256×

valid

Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions

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

ival-log: 10.0ms (46.5% of total)

ival-sqrt: 6.0ms (27.9% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

series283.0ms (7.8%)

Memory

-22.7MiB live, 251.4MiB allocated; 58ms collecting garbage

Counts

9 → 24

Calls

Call 1

Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))
(log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))))
(sqrt.f64 (log.f64 x))

Outputs
(+ (log x) (log (log x)))
(* x (log x))
(log x)
(+ (log x) (log (/ 1 (log x))))
(/ x (log x))
(- (log x) (log (log x)))
(log (log x))
(sqrt (log x))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(log (* -1 (log (/ 1 x))))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
115.0ms	x	@	-inf	((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x)) (* (sqrt (log x)) (sqrt (log x))) (- (log x) (log (* (sqrt (log x)) (sqrt (log x))))) (log (* (sqrt (log x)) (sqrt (log x)))) (sqrt (log x)))
115.0ms	x	@	0	((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x)) (* (sqrt (log x)) (sqrt (log x))) (- (log x) (log (* (sqrt (log x)) (sqrt (log x))))) (log (* (sqrt (log x)) (sqrt (log x)))) (sqrt (log x)))
52.0ms	x	@	inf	((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x)) (* (sqrt (log x)) (sqrt (log x))) (- (log x) (log (* (sqrt (log x)) (sqrt (log x))))) (log (* (sqrt (log x)) (sqrt (log x)))) (sqrt (log x)))

Time

Variable

Point

Expression

115.0ms

-inf

((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x)) (* (sqrt (log x)) (sqrt (log x))) (- (log x) (log (* (sqrt (log x)) (sqrt (log x))))) (log (* (sqrt (log x)) (sqrt (log x)))) (sqrt (log x)))

115.0ms

((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x)) (* (sqrt (log x)) (sqrt (log x))) (- (log x) (log (* (sqrt (log x)) (sqrt (log x))))) (log (* (sqrt (log x)) (sqrt (log x)))) (sqrt (log x)))

52.0ms

inf

((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x)) (* (sqrt (log x)) (sqrt (log x))) (- (log x) (log (* (sqrt (log x)) (sqrt (log x))))) (log (* (sqrt (log x)) (sqrt (log x)))) (sqrt (log x)))

simplify23.0ms (0.6%)

Memory

25.2MiB live, 25.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	45	171
1	95	160
2	195	160
3	321	159
4	471	159
5	725	159
6	837	149
7	1230	149
8	1234	149
9	1235	149
0	1235	149

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

rewrite65.0ms (1.8%)

Memory

-15.2MiB live, 29.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
0	19	33
1	54	33
0	292	33

Stop Event

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

Counts

9 → 92

Calls

Call 1

Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))
(log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))))
(sqrt.f64 (log.f64 x))

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

eval15.0ms (0.4%)

Memory: 25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 147 to 445 computations (79.3% saved)

prune6.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	158	4	162

Accuracy

100.0%

Counts

162 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x)))))
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	25.1%	(log.f64 (*.f64 (log.f64 x) x))

Compiler

Compiled 25 to 19 computations (24% saved)

simplify25.0ms (0.7%)

Memory

-48.4MiB live, 6.6MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (sqrt.f64 (log.f64 x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x))))
cost-diff	0	(log.f64 x)
cost-diff	1	(-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
0	12	26
1	20	26
2	30	26
3	38	26
4	47	26
5	51	26
6	52	26
0	52	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x)))))
(log.f64 x)
x
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))

Outputs
(-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x)))))
(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))
(log.f64 x)
x
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x))))
(*.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))

localize27.0ms (0.7%)

Memory

4.5MiB live, 46.0MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 x)
accuracy	0.09375	(log.f64 (sqrt.f64 (log.f64 x)))
accuracy	0.11328125	(sqrt.f64 (log.f64 x))
accuracy	0.2578125	(-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x)))))

Samples

16.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 5.0ms (48.4% of total)

ival-mult: 2.0ms (19.3% of total)

ival-sqrt: 2.0ms (19.3% of total)

ival-sub: 1.0ms (9.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series92.0ms (2.5%)

Memory

38.2MiB live, 125.6MiB allocated; 11ms collecting garbage

Counts

5 → 15

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x)))))
(log.f64 x)
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))

Outputs
(- (log x) (* 2 (log (sqrt (log x)))))
(log x)
(* 2 (log (sqrt (log x))))
(log (sqrt (log x)))
(sqrt (log x))
(- (* -1 (log (/ 1 x))) (* 2 (log (* (sqrt (log (/ 1 x))) (sqrt -1)))))
(* -1 (log (/ 1 x)))
(* 2 (log (* (sqrt (log (/ 1 x))) (sqrt -1))))
(log (* (sqrt (log (/ 1 x))) (sqrt -1)))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* 2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x)))))))
(log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

48.0ms

-inf

((- (log x) (* 2 (log (sqrt (log x))))) (log x) (* 2 (log (sqrt (log x)))) (log (sqrt (log x))) (sqrt (log x)))

24.0ms

inf

((- (log x) (* 2 (log (sqrt (log x))))) (log x) (* 2 (log (sqrt (log x)))) (log (sqrt (log x))) (sqrt (log x)))

20.0ms

((- (log x) (* 2 (log (sqrt (log x))))) (log x) (* 2 (log (sqrt (log x)))) (log (sqrt (log x))) (sqrt (log x)))

simplify11.0ms (0.3%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	126
1	56	118
2	105	118
3	189	118
4	257	118
5	312	118
6	362	118
7	370	118
8	374	118
0	374	115

Stop Event

1×	iter limit
1×	saturated

Counts

15 → 15

Calls

Call 1

Inputs
(- (log x) (* 2 (log (sqrt (log x)))))
(log x)
(* 2 (log (sqrt (log x))))
(log (sqrt (log x)))
(sqrt (log x))
(- (* -1 (log (/ 1 x))) (* 2 (log (* (sqrt (log (/ 1 x))) (sqrt -1)))))
(* -1 (log (/ 1 x)))
(* 2 (log (* (sqrt (log (/ 1 x))) (sqrt -1))))
(log (* (sqrt (log (/ 1 x))) (sqrt -1)))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* 2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x)))))))
(log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))

Outputs
(- (log x) (* 2 (log (sqrt (log x)))))
(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))
(log x)
(log.f64 x)
(* 2 (log (sqrt (log x))))
(*.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal 2 binary64))
(log (sqrt (log x)))
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt (log x))
(sqrt.f64 (log.f64 x))
(- (* -1 (log (/ 1 x))) (* 2 (log (* (sqrt (log (/ 1 x))) (sqrt -1)))))
(fma.f64 #s(literal -2 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 x))))) (log.f64 x))
(* -1 (log (/ 1 x)))
(log.f64 x)
(* 2 (log (* (sqrt (log (/ 1 x))) (sqrt -1))))
(.f64 (log.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64))
(log (* (sqrt (log (/ 1 x))) (sqrt -1)))
(log.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 x)))))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))))
(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))
(log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))
(log.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))

rewrite60.0ms (1.7%)

Memory

-41.3MiB live, 61.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	12	14
1	37	14
2	220	5
0	3513	5

Stop Event

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

Counts

5 → 5

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x)))))
(log.f64 x)
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))

Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)

eval1.0ms (0%)

Memory: 2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 287 to 76 computations (73.5% saved)

prune2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	17	5	22

Accuracy

100.0%

Counts

22 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	26.8%	(-.f64 (log.f64 x) #s(literal 0 binary64))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
▶	99.6%	#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x)))
▶	14.1%	#s(literal 1 binary64)

Compiler

Compiled 34 to 27 computations (20.6% saved)

simplify7.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 x)
cost-diff	2	(-.f64 (log.f64 x) #s(literal 0 binary64))
cost-diff	0	(sqrt.f64 (log.f64 x))
cost-diff	0	(log.f64 (sqrt.f64 (log.f64 x)))
cost-diff	0	(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))
cost-diff	0	#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
0	23	43
1	31	43
2	45	43
3	68	43
4	87	43
5	113	43
6	156	43
7	200	43
8	227	43
0	227	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))
#s(literal -2 binary64)
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))
(log.f64 x)
x
(-.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)
x
#s(literal 0 binary64)

Outputs
#s(literal 1 binary64)
#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x)))
#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal -2 binary64) (log.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal -2 binary64) (log.f64 x))
#s(literal -2 binary64)
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))
(log.f64 x)
x
(-.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)
(log.f64 x)
x
#s(literal 0 binary64)

localize35.0ms (0.9%)

Memory

12.3MiB live, 57.5MiB allocated; 5ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (log.f64 x) #s(literal 0 binary64))
accuracy	0.0	(log.f64 x)
accuracy	0.0	#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x)))
accuracy	0.09375	(log.f64 (sqrt.f64 (log.f64 x)))
accuracy	0.11328125	(sqrt.f64 (log.f64 x))
accuracy	0.2578125	(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))

Samples

26.0ms

256×

valid

Compiler

Compiled 40 to 15 computations (62.5% saved)

Precisions

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

ival-mult: 6.0ms (32.7% of total)

ival-log: 5.0ms (27.2% of total)

ival-add: 2.0ms (10.9% of total)

ival-sub: 2.0ms (10.9% of total)

ival-sqrt: 2.0ms (10.9% of total)

exact: 1.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

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

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

series51.0ms (1.4%)

Memory

8.6MiB live, 102.4MiB allocated; 16ms collecting garbage

Counts

6 → 15

Calls

Call 1

Inputs
#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)

Outputs
(- (log x) (* 2 (log (sqrt (log x)))))
(+ (log x) (* -2 (log (sqrt (log x)))))
(log (sqrt (log x)))
(sqrt (log x))
(log x)
(- (* -1 (log (/ 1 x))) (* 2 (log (* (sqrt (log (/ 1 x))) (sqrt -1)))))
(+ (* -2 (log (* (sqrt (log (/ 1 x))) (sqrt -1)))) (* -1 (log (/ 1 x))))
(log (* (sqrt (log (/ 1 x))) (sqrt -1)))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(* -1 (log (/ 1 x)))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))))
(+ (log -1) (+ (* -2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (log (/ -1 x)))))
(log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))

Calls

3 calls:

Time

Variable

Point

Expression

20.0ms

inf

((- (log x) (* 2 (log (sqrt (log x))))) (+ (* -2 (log (sqrt (log x)))) (log x)) (log (sqrt (log x))) (sqrt (log x)) (- (log x) 0) (log x))

17.0ms

((- (log x) (* 2 (log (sqrt (log x))))) (+ (* -2 (log (sqrt (log x)))) (log x)) (log (sqrt (log x))) (sqrt (log x)) (- (log x) 0) (log x))

14.0ms

-inf

((- (log x) (* 2 (log (sqrt (log x))))) (+ (* -2 (log (sqrt (log x)))) (log x)) (log (sqrt (log x))) (sqrt (log x)) (- (log x) 0) (log x))

simplify15.0ms (0.4%)

Memory

-31.5MiB live, 12.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	143
1	71	132
2	138	132
3	247	132
4	296	132
5	350	132
6	396	132
7	406	132
8	408	132
0	408	126

Stop Event

1×	iter limit
1×	saturated

Counts

15 → 15

Calls

Call 1

Inputs
(- (log x) (* 2 (log (sqrt (log x)))))
(+ (log x) (* -2 (log (sqrt (log x)))))
(log (sqrt (log x)))
(sqrt (log x))
(log x)
(- (* -1 (log (/ 1 x))) (* 2 (log (* (sqrt (log (/ 1 x))) (sqrt -1)))))
(+ (* -2 (log (* (sqrt (log (/ 1 x))) (sqrt -1)))) (* -1 (log (/ 1 x))))
(log (* (sqrt (log (/ 1 x))) (sqrt -1)))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(* -1 (log (/ 1 x)))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))))
(+ (log -1) (+ (* -2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (log (/ -1 x)))))
(log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))

Outputs
(- (log x) (* 2 (log (sqrt (log x)))))
(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))
(+ (log x) (* -2 (log (sqrt (log x)))))
(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))
(log (sqrt (log x)))
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt (log x))
(sqrt.f64 (log.f64 x))
(log x)
(log.f64 x)
(- (* -1 (log (/ 1 x))) (* 2 (log (* (sqrt (log (/ 1 x))) (sqrt -1)))))
(fma.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 x))))) #s(literal -2 binary64) (log.f64 x))
(+ (* -2 (log (* (sqrt (log (/ 1 x))) (sqrt -1)))) (* -1 (log (/ 1 x))))
(fma.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 x))))) #s(literal -2 binary64) (log.f64 x))
(log (* (sqrt (log (/ 1 x))) (sqrt -1)))
(log.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 x)))))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 x))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))))
(fma.f64 (log.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (* -2 (log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (log (/ -1 x)))))
(fma.f64 (log.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (sqrt (+ (log -1) (* -1 (log (/ -1 x))))))
(log.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))
(sqrt.f64 (-.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)))

rewrite36.0ms (1%)

Memory

14.1MiB live, 59.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
0	22	36
1	70	33
0	527	33

Stop Event

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

Counts

6 → 58

Calls

Call 1

Inputs
#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x))
(log.f64 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)

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

eval6.0ms (0.2%)

Memory: 20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 397 to 216 computations (84.5% saved)

prune7.0ms (0.2%)

Memory

-34.3MiB live, 12.5MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	61	5	66

Accuracy

100.0%

Counts

66 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
	26.8%	(log.f64 x)
✓	99.6%	#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x)))
✓	14.1%	#s(literal 1 binary64)

Compiler

Compiled 93 to 53 computations (43% saved)

regimes9.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(log.f64 x)
(-.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 (*.f64 (log.f64 x) x))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
#s(approx (- (log x) (* 2 (log (sqrt (log x))))) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 x)))
(-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))

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

Calls

3 calls:

3.0ms	x
3.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
3.0ms	(log.f64 x)

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(log.f64 x)
(-.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 (*.f64 (log.f64 x) x))

Outputs
(log.f64 x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
26.8%	1	`(log.f64 x)`
26.8%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
26.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes23.0ms (0.6%)

Memory

-54.6MiB live, 8.7MiB allocated; 35ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

3 calls:

20.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms	(log.f64 x)
1.0ms	x

Results

Accuracy	Segments	Branch
14.1%	1	`(log.f64 x)`
14.1%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
14.1%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	7	8

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations1.4s (37.6%)

Memory

-13.8MiB live, 420.7MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	39
0	22	36
1	70	33
0	527	33
0	10	49
0	19	33
1	54	33
0	292	33
0	7	24
0	12	14
1	37	14
2	220	5
0	3513	5
0	4	11
0	7	10
1	22	10
2	130	10
3	1232	10
0	9362	10

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 8 to 5 computations (37.5% saved)

preprocess14.0ms (0.4%)

Memory: 20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 28 to 18 computations (35.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	27	126
1	56	118
2	105	118
3	189	118
4	257	118
5	312	118
6	362	118
7	370	118
8	374	118
0	374	115

Iter	Nodes	Cost
0	16	46
0	23	43
1	31	43
2	45	43
3	68	43
4	87	43
5	113	43
6	156	43
7	200	43
8	227	43
0	227	43

Iter	Nodes	Cost
0	35	143
1	71	132
2	138	132
3	247	132
4	296	132
5	350	132
6	396	132
7	406	132
8	408	132
0	408	126

Iter	Nodes	Cost
0	27	126
1	56	118
2	105	118
3	189	118
4	257	118
5	312	118
6	362	118
7	370	118
8	374	118
0	374	115

Iter	Nodes	Cost
0	16	46
0	23	43
1	31	43
2	45	43
3	68	43
4	87	43
5	113	43
6	156	43
7	200	43
8	227	43
0	227	43

Iter	Nodes	Cost
0	35	143
1	71	132
2	138	132
3	247	132
4	296	132
5	350	132
6	396	132
7	406	132
8	408	132
0	408	126

start0.0ms (0%)

analyze1.0ms (0%)

sample898.0ms (24.6%)

explain69.0ms (1.9%)

preprocess31.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.5%)

series171.0ms (4.7%)

simplify28.0ms (0.8%)

rewrite140.0ms (3.8%)

eval40.0ms (1.1%)

prune6.0ms (0.2%)

simplify5.0ms (0.1%)

localize38.0ms (1%)

series283.0ms (7.8%)

simplify23.0ms (0.6%)

rewrite65.0ms (1.8%)

eval15.0ms (0.4%)

prune6.0ms (0.2%)

simplify25.0ms (0.7%)

localize27.0ms (0.7%)

series92.0ms (2.5%)

simplify11.0ms (0.3%)

rewrite60.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify7.0ms (0.2%)

localize35.0ms (0.9%)

series51.0ms (1.4%)

simplify15.0ms (0.4%)

rewrite36.0ms (1%)

eval6.0ms (0.2%)

prune7.0ms (0.2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.2%)

regimes23.0ms (0.6%)

simplify9.0ms (0.2%)

derivations1.4s (37.6%)

preprocess14.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	126
1	56	118
2	105	118
3	189	118
4	257	118
5	312	118
6	362	118
7	370	118
8	374	118
0	374	115

Iter	Nodes	Cost
0	16	46
0	23	43
1	31	43
2	45	43
3	68	43
4	87	43
5	113	43
6	156	43
7	200	43
8	227	43
0	227	43

Iter	Nodes	Cost
0	35	143
1	71	132
2	138	132
3	247	132
4	296	132
5	350	132
6	396	132
7	406	132
8	408	132
0	408	126