Metrics for Jmat.Real.lambertw, estimator

analyze1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

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)

sample928.0ms (14.2%)

Memory

-1.2MiB live, 835.2MiB allocated

Samples

714.0ms	8 256×	0	valid
1.0ms	16×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-log: 317.0ms (68.5% of total)

ival-sub: 137.0ms (29.6% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess28.0ms (0.4%)

Memory

-23.8MiB live, 35.6MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
34×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	14	17
2	33	16
3	61	16
4	106	16
5	152	16
6	169	16
7	177	16
0	4	6
0	7	6
1	9	6
2	14	6
3	20	6
4	28	6
5	43	6
6	76	6
7	101	6
8	143	6
9	158	6
10	166	6
0	166	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)))

explain61.0ms (0.9%)

Memory

21.9MiB live, 100.1MiB allocated

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

26.0ms

512×

valid

Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions

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

ival-log: 12.0ms (78% of total)

ival-sub: 2.0ms (13% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify9.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

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

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	7	12
1	9	12
2	14	12
3	20	12
4	28	12
5	43	12
6	76	12
7	101	12
8	143	12
9	158	12
10	166	12
0	166	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))

localize20.0ms (0.3%)

Memory

-4.9MiB live, 34.2MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-log: 7.0ms (80.4% of total)

ival-sub: 1.0ms (11.5% of total)

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

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

series138.0ms (2.1%)

Memory

-3.8MiB live, 190.9MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (-.f64 (log.f64 x) (log.f64 (log.f64 x)))>
#<alt (log.f64 x)>
#<alt (log.f64 (log.f64 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
61.0ms	x	@	-inf	(- (log x) (log (log x)))
49.0ms	x	@	0	(- (log x) (log (log x)))
27.0ms	x	@	inf	(- (log x) (log (log x)))
0.0ms	x	@	0	(log x)
0.0ms	x	@	-inf	(log (log x))

rewrite256.0ms (3.9%)

Memory

-11.5MiB live, 462.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 954×	`lower-fma.f64`
4 954×	`lower-fma.f32`
3 078×	`lower-/.f64`
3 078×	`lower-/.f32`
2 794×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	10
1	24	10
2	150	10
3	1399	10
0	9715	10

Stop Event

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

Counts

3 → 249

Calls

Call 1

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

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

simplify25.0ms (0.4%)

Memory

11.1MiB live, 49.4MiB allocated

Algorithm

1×	egg-herbie

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
160×	`lower-*.f64`
160×	`lower-*.f32`
136×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	228
1	34	212
2	60	212
3	125	212
4	243	212
5	342	212
6	442	212
7	486	212
8	493	212
0	493	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))))

eval73.0ms (1.1%)

Memory: -9.9MiB live, 67.0MiB allocated
Compiler: Compiled 9 031 to 693 computations (92.3% saved)

prune50.0ms (0.8%)

Memory

-2.3MiB live, 117.9MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	303	20	323
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	303	21	324

Accuracy

100.0%

Counts

324 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 x (log.f64 x)))) (.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 2 binary64))))
	98.2%	(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (.f64 x (log.f64 x)))) (.f64 (log.f64 (.f64 x (log.f64 x))) (/.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
	98.1%	(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (.f64 x (log.f64 x)))) (.f64 (neg.f64 (log.f64 (.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
	98.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
	98.0%	(/.f64 (-.f64 (log.f64 (.f64 x (log.f64 x))) (.f64 (/.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (.f64 x (log.f64 x)))))
	99.0%	(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (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 x) (log.f64 (log.f64 x)))))))
	25.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
	99.1%	(-.f64 (/.f64 (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 x) (log.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
▶	98.3%	(-.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)))))
	99.1%	(-.f64 (/.f64 (/.f64 (pow.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 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (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 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
	99.3%	(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) (log.f64 (log.f64 x)))
▶	99.5%	(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
▶	98.1%	(-.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x)))) (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 2 binary64))))
	99.0%	(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (log.f64 x)))
▶	99.6%	(-.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
	99.6%	(-.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))))
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
	99.6%	(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
	98.1%	(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
	97.7%	(.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x)))))))))
▶	25.0%	(log.f64 (*.f64 x (log.f64 x)))

Compiler

Compiled 1 219 to 506 computations (58.5% saved)

simplify165.0ms (2.5%)

Memory

7.4MiB live, 329.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x))))
✓	cost-diff	13824	(-.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x)))) (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 2 binary64))))
✓	cost-diff	19904	(/.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
✓	cost-diff	19904	(/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
✓	cost-diff	13824	(-.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)))))
✓	cost-diff	0	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
✓	cost-diff	192	(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
✓	cost-diff	13568	(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (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) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	cost-diff	192	(+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))
✓	cost-diff	26432	(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))

Rules

3 768×	`lower-*.f32`
3 762×	`lower-*.f64`
3 466×	`lower-fma.f64`
3 466×	`lower-fma.f32`
1 870×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	303
0	48	289
1	78	289
2	183	245
3	513	225
4	1457	221
5	3849	221
0	8153	221

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.8%)

Memory

5.5MiB live, 241.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(log.f64 (*.f64 x (log.f64 x)))
✓	accuracy	99.2%	(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
✓	accuracy	99.2%	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	accuracy	99.0%	(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
✓	accuracy	99.4%	(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
✓	accuracy	99.2%	(log.f64 (*.f64 x (log.f64 x)))
✓	accuracy	99.2%	(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
✓	accuracy	99.2%	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	accuracy	99.9%	(log.f64 (log.f64 x))
✓	accuracy	99.6%	(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
✓	accuracy	99.2%	(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))
✓	accuracy	99.2%	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.6%	(*.f64 x (log.f64 x))
✓	accuracy	99.2%	(log.f64 (*.f64 x (log.f64 x)))
✓	accuracy	99.6%	(-.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	accuracy	99.3%	(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	accuracy	99.2%	(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
✓	accuracy	98.8%	(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))

Samples

61.0ms

256×

valid

Compiler

Compiled 305 to 28 computations (90.8% saved)

Precisions

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

ival-log: 12.0ms (28.1% of total)

ival-div: 9.0ms (21.1% of total)

ival-pow2: 7.0ms (16.4% of total)

ival-mult: 5.0ms (11.7% of total)

ival-sub: 5.0ms (11.7% of total)

ival-pow: 3.0ms (7% of total)

ival-add: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.9%)

Memory

20.7MiB live, 94.6MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))>
#<alt (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))>
#<alt (-.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))))>
#<alt (log.f64 x)>
#<alt (log.f64 (*.f64 x (log.f64 x)))>
#<alt (*.f64 x (log.f64 x))>
#<alt (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))>
#<alt (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))>
#<alt (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))>
#<alt (pow.f64 (log.f64 x) #s(literal 2 binary64))>
#<alt (-.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)))))>
#<alt (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))>
#<alt (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))>
#<alt (/.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))>
#<alt (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x)))) (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (log.f64 x))))>
#<alt (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))>
#<alt (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))>
#<alt (log.f64 (log.f64 x))>
#<alt (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))>

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

Calls

60 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(log (* x (log x)))
16.0ms	x	@	0	(log (* x (log x)))
7.0ms	x	@	inf	(log (* x (log x)))
2.0ms	x	@	-inf	(- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x)))))
1.0ms	x	@	inf	(- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x)))))

rewrite489.0ms (7.5%)

Memory

1.8MiB live, 517.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 906×	`lower-fma.f64`
4 906×	`lower-fma.f32`
3 048×	`lower-/.f32`
3 036×	`lower-/.f64`
2 556×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	216
0	48	170
1	220	122
2	2211	110
0	9409	110

Stop Event

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

Counts

20 → 1 655

Calls

Call 1

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

Outputs
(log.f64 (log.f64 x))
(+.f64 (log.f64 (log.f64 x)) #s(literal 0 binary64))
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(+.f64 (log.f64 (log.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x))) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x)))))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x))))) (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x))))))
(exp.f64 (+.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x))))) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x))))))
(exp.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x)))))))
(-.f64 (log.f64 (log.f64 x)) (/.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))))
(-.f64 (log.f64 (log.f64 x)) (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64))) (log.f64 (pow.f64 (log.f64 x) #s(literal 5 binary64))))
(-.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64))) (log.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))))
(-.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(-.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 x) #s(literal 0 binary64)))) (.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x)) (.f64 (neg.f64 (log.f64 x)) #s(literal 0 binary64)))) (log.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 (log.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(-.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 5 binary64))) (log.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (log.f64 (log.f64 x)))
(fma.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 x)) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log.f64 (log.f64 x))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (log.f64 x)))))))
(pow.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 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 x)) (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (.f64 (log.f64 x) (log.f64 (.f64 x (log.f64 x)))) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x)))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (.f64 x (log.f64 x))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 (.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (*.f64 x (log.f64 x))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 (.f64 x (log.f64 x)))) (log.f64 (log.f64 (.f64 x (log.f64 x))))))
(fma.f64 (log.f64 x) (log.f64 (.f64 x (log.f64 x))) (.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))
(fma.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 x) (.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 x)) (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 x)) (-.f64 (.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 (log.f64 x))) (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 (log.f64 x)))) (.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 x)) (.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 (.f64 x (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x)))) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 x) (log.f64 (.f64 x (log.f64 x)))) (.f64 (log.f64 x) (log.f64 (.f64 x (log.f64 x)))) (-.f64 (pow.f64 (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x)))) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 (.f64 x (log.f64 x)))) (.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))))
(pow.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 binary64))
(pow.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (*.f64 x (log.f64 x)))))
(.f64 (log.f64 (.f64 x (log.f64 x))) (log.f64 (*.f64 x (log.f64 x))))
(.f64 (neg.f64 (log.f64 (.f64 x (log.f64 x)))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))

simplify393.0ms (6%)

Memory

11.9MiB live, 446.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 960×	`lower-fma.f64`
11 960×	`lower-fma.f32`
3 084×	`lower-*.f64`
3 084×	`lower-*.f32`
3 038×	`lower--.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	53	2800
1	135	2632
2	360	2592
3	858	2592
4	2401	2592
5	4519	2512
0	8141	2512

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

eval857.0ms (13.1%)

Memory: -66.5MiB live, 1 034.2MiB allocated
Compiler: Compiled 145 374 to 8 860 computations (93.9% saved)

prune412.0ms (6.3%)

Memory

6.9MiB live, 848.4MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	4 524	1	4 525
Fresh	15	0	15
Picked	4	1	5
Done	0	1	1
Total	4 543	3	4 546

Accuracy

100.0%

Counts

4 546 → 3

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)))
✓	25.0%	(log.f64 (*.f64 x (log.f64 x)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

4×	`lift-log.f64`
4×	`lower-log.f32`
2×	`lift-/.f64`
2×	`lower-/.f32`

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

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

localize21.0ms (0.3%)

Memory

-5.9MiB live, 31.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-log: 8.0ms (79.7% of total)

ival-div: 2.0ms (19.9% of total)

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

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

series97.0ms (1.5%)

Memory

15.0MiB live, 130.2MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (log.f64 (/.f64 x (log.f64 x)))>
#<alt (/.f64 x (log.f64 x))>
#<alt (log.f64 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))))>

Calls

9 calls:

Time	Variable		Point	Expression
58.0ms	x	@	-inf	(log (/ x (log x)))
21.0ms	x	@	inf	(log (/ x (log x)))
16.0ms	x	@	0	(log (/ x (log x)))
0.0ms	x	@	0	(/ x (log x))
0.0ms	x	@	-inf	(/ x (log x))

rewrite298.0ms (4.6%)

Memory

16.4MiB live, 326.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 778×	`lower-*.f64`
3 778×	`lower-*.f32`
3 560×	`lower-fma.f64`
3 560×	`lower-fma.f32`
2 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	11
1	17	11
2	77	11
3	407	11
4	3200	11
0	10747	11

Stop Event

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

Counts

3 → 668

Calls

Call 1

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

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

simplify45.0ms (0.7%)

Memory

-14.6MiB live, 58.2MiB allocated

Algorithm

1×	egg-herbie

Rules

352×	`lower-fma.f64`
352×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
136×	`lower-+.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	25	244
1	42	220
2	65	220
3	150	220
4	321	220
5	501	220
6	672	204
7	842	200
8	881	200
9	892	200
10	893	200
0	893	200

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

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))))

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

eval103.0ms (1.6%)

Memory: -39.9MiB live, 151.4MiB allocated
Compiler: Compiled 15 640 to 1 670 computations (89.3% saved)

prune312.0ms (4.8%)

Memory

18.5MiB live, 144.2MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	703	1	704
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	703	4	707

Accuracy

100.0%

Counts

707 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	30.6%	(log.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (log.f64 x))))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	25.0%	(log.f64 (*.f64 x (log.f64 x)))

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify181.0ms (2.8%)

Memory

-2.6MiB live, 188.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(log.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (log.f64 x))))
✓	cost-diff	1280	(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (log.f64 x)))

Rules

5 506×	`lower-*.f32`
5 500×	`lower-*.f64`
1 958×	`cube-prod`
1 844×	`lower-/.f32`
1 842×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	42
0	13	36
1	26	36
2	65	28
3	144	24
4	238	24
5	1055	24
6	1278	24
7	1607	24
8	2656	24
9	4900	24
10	7192	24
0	8041	24

Stop Event

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

Calls

Call 1

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

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

localize31.0ms (0.5%)

Memory

-0.7MiB live, 41.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (log.f64 x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) (log.f64 x))
✓	accuracy	34.2%	(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (log.f64 x)))

Samples

22.0ms

256×

valid

Compiler

Compiled 44 to 9 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 9.0ms (57.3% of total)

ival-mult: 5.0ms (31.8% of total)

ival-div: 2.0ms (12.7% of total)

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

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (log.f64 x)))>
#<alt (log.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (log.f64 x))))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (.f64 (.f64 x x) (log.f64 x))>

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

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x (* x x))
0.0ms	x	@	-inf	(* (* x x) (log x))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(* (* x x) (log x))
0.0ms	x	@	inf	(* x (* x x))

rewrite234.0ms (3.6%)

Memory

-20.2MiB live, 382.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 594×	`lower-fma.f64`
3 594×	`lower-fma.f32`
3 130×	`lower-*.f32`
3 124×	`lower-*.f64`
2 952×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	39
0	13	33
1	39	25
2	224	21
3	1958	21
0	8481	21

Stop Event

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

Counts

5 → 552

Calls

Call 1

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

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

simplify86.0ms (1.3%)

Memory

19.0MiB live, 96.1MiB allocated

Algorithm

1×	egg-herbie

Rules

888×	`lower-fma.f64`
888×	`lower-fma.f32`
632×	`lower-*.f64`
632×	`lower-*.f32`
322×	`associate-r`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	33	364
1	66	340
2	130	340
3	287	340
4	542	340
5	1053	340
6	1781	324
7	2146	320
8	2189	320
9	2196	320
10	2197	320
11	2197	320
0	2197	320

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

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

eval81.0ms (1.2%)

Memory: 24.0MiB live, 172.2MiB allocated
Compiler: Compiled 16 385 to 2 058 computations (87.4% saved)

prune88.0ms (1.4%)

Memory

-47.2MiB live, 204.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	708	1	709
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	709	4	713

Accuracy

100.0%

Counts

713 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
	100.0%	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	25.0%	(log.f64 (*.f64 x (log.f64 x)))

Compiler

Compiled 643 to 130 computations (79.8% saved)

regimes22.0ms (0.3%)

Memory

3.7MiB live, 42.9MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
7.0ms	(log.f64 x)
6.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 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)

regimes5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
2.0ms	(log.f64 x)
1.0ms	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)

regimes4.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (*.f64 x (log.f64 x)))

Outputs
(log.f64 (*.f64 x (log.f64 x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
25.0%	1	`x`
25.0%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
25.0%	1	`(log.f64 x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify12.0ms (0.2%)

Memory

-26.1MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	14	16
2	16	16
3	17	16

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness764.0ms (11.7%)

Memory

7.9MiB live, 403.8MiB allocated

Rules

4 954×	`lower-fma.f64`
4 954×	`lower-fma.f32`
4 906×	`lower-fma.f64`
4 906×	`lower-fma.f32`
3 778×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	11
1	17	11
2	77	11
3	407	11
4	3200	11
0	10747	11
0	4	11
0	7	10
1	24	10
2	150	10
3	1399	10
0	9715	10
0	26	216
0	48	170
1	220	122
2	2211	110
0	9409	110
0	7	39
0	13	33
1	39	25
2	224	21
3	1958	21
0	8481	21

Stop Event

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

Compiler

Compiled 35 to 21 computations (40% saved)

preprocess51.0ms (0.8%)

Memory: 8.8MiB live, 46.8MiB allocated
Compiler: Compiled 48 to 26 computations (45.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	17
1	14	17
2	33	16
3	61	16
4	106	16
5	152	16
6	169	16
7	177	16
0	4	6
0	7	6
1	9	6
2	14	6
3	20	6
4	28	6
5	43	6
6	76	6
7	101	6
8	143	6
9	158	6
10	166	6
0	166	6

Iter	Nodes	Cost
0	4	12
0	7	12
1	9	12
2	14	12
3	20	12
4	28	12
5	43	12
6	76	12
7	101	12
8	143	12
9	158	12
10	166	12
0	166	12

Iter	Nodes	Cost
0	18	228
1	34	212
2	60	212
3	125	212
4	243	212
5	342	212
6	442	212
7	486	212
8	493	212
0	493	212

Iter	Nodes	Cost
0	25	244
1	42	220
2	65	220
3	150	220
4	321	220
5	501	220
6	672	204
7	842	200
8	881	200
9	892	200
10	893	200
0	893	200

Iter	Nodes	Cost
0	6	17
1	14	17
2	33	16
3	61	16
4	106	16
5	152	16
6	169	16
7	177	16
0	4	6
0	7	6
1	9	6
2	14	6
3	20	6
4	28	6
5	43	6
6	76	6
7	101	6
8	143	6
9	158	6
10	166	6
0	166	6

Iter	Nodes	Cost
0	4	12
0	7	12
1	9	12
2	14	12
3	20	12
4	28	12
5	43	12
6	76	12
7	101	12
8	143	12
9	158	12
10	166	12
0	166	12

Iter	Nodes	Cost
0	18	228
1	34	212
2	60	212
3	125	212
4	243	212
5	342	212
6	442	212
7	486	212
8	493	212
0	493	212

Iter	Nodes	Cost
0	25	244
1	42	220
2	65	220
3	150	220
4	321	220
5	501	220
6	672	204
7	842	200
8	881	200
9	892	200
10	893	200
0	893	200

analyze1.0ms (0%)

sample928.0ms (14.2%)

preprocess28.0ms (0.4%)

explain61.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize20.0ms (0.3%)

series138.0ms (2.1%)

rewrite256.0ms (3.9%)

simplify25.0ms (0.4%)

eval73.0ms (1.1%)

prune50.0ms (0.8%)

simplify165.0ms (2.5%)

localize119.0ms (1.8%)

series57.0ms (0.9%)

rewrite489.0ms (7.5%)

simplify393.0ms (6%)

eval857.0ms (13.1%)

prune412.0ms (6.3%)

simplify4.0ms (0.1%)

localize21.0ms (0.3%)

series97.0ms (1.5%)

rewrite298.0ms (4.6%)

simplify45.0ms (0.7%)

eval103.0ms (1.6%)

prune312.0ms (4.8%)

simplify181.0ms (2.8%)

localize31.0ms (0.5%)

series3.0ms (0%)

rewrite234.0ms (3.6%)

simplify86.0ms (1.3%)

eval81.0ms (1.2%)

prune88.0ms (1.4%)

regimes22.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify12.0ms (0.2%)

soundness764.0ms (11.7%)

preprocess51.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
1	14	17
2	33	16
3	61	16
4	106	16
5	152	16
6	169	16
7	177	16
0	4	6
0	7	6
1	9	6
2	14	6
3	20	6
4	28	6
5	43	6
6	76	6
7	101	6
8	143	6
9	158	6
10	166	6
0	166	6

Iter	Nodes	Cost
0	4	12
0	7	12
1	9	12
2	14	12
3	20	12
4	28	12
5	43	12
6	76	12
7	101	12
8	143	12
9	158	12
10	166	12
0	166	12

Iter	Nodes	Cost
0	18	228
1	34	212
2	60	212
3	125	212
4	243	212
5	342	212
6	442	212
7	486	212
8	493	212
0	493	212

Iter	Nodes	Cost
0	25	244
1	42	220
2	65	220
3	150	220
4	321	220
5	501	220
6	672	204
7	842	200
8	881	200
9	892	200
10	893	200
0	893	200