Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (63%)

Results

1.1s	8256×	body	256	valid
1.0ms	18×	body	256	invalid

Bogosity

preprocess238.0ms (13.9%)

Algorithm

2×	egg-herbie

Rules

2524×	`fma-neg`
1468×	`fma-def`
1306×	`associate-+r+`
864×	`associate--r-`
850×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	9	19
2	14	19
3	22	19
4	31	19
5	48	19
6	100	19
7	144	19
8	217	19
9	487	19
10	1379	19
11	2877	19
12	4532	19
13	4974	19
14	5162	19
15	5217	19
16	5227	19
17	5227	19
18	6339	19
19	6347	19
20	6399	19
21	6399	19
22	7533	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify233.0ms (13.6%)

Algorithm

1×	egg-herbie

Rules

2524×	`fma-neg`
1468×	`fma-def`
1306×	`associate-+r+`
864×	`associate--r-`
850×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	9	19
2	14	19
3	22	19
4	31	19
5	48	19
6	100	19
7	144	19
8	217	19
9	487	19
10	1379	19
11	2877	19
12	4532	19
13	4974	19
14	5162	19
15	5217	19
16	5227	19
17	5227	19
18	6339	19
19	6347	19
20	6399	19
21	6399	19
22	7533	19

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

99.5%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	99.5%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	99.9%	(log.f64 (log.f64 x))
✓	99.5%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 13 to 4 computations (69.2% saved)

series89.0ms (5.2%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
36.0ms	x	@	-inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
16.0ms	x	@	inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms	x	@	-inf	(log.f64 (log.f64 x))
0.0ms	x	@	0	(log.f64 (log.f64 x))

rewrite65.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`add-sqr-sqrt`
1550×	`*-un-lft-identity`
1448×	`add-cube-cbrt`
1430×	`add-cbrt-cube`
1416×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	143	24
2	1901	24

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
((((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))) (((x +.f64 (log.f64 x) (.f64 (neg.f64 (log.f64 (log.f64 x))) 1)))) (((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x)))))) (((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))))) (((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x)))))) (((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x)))) (((x .f64 (log.f64 (/.f64 x (log.f64 x))) 1))) (((x .f64 1 (log.f64 (/.f64 x (log.f64 x)))))) (((x .f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))) (((x .f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))) (((x .f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))) (((x .f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (.f64 x (log.f64 x))))))) (((x .f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))))))) (((x .f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x))))))) (((x /.f64 1 (/.f64 (log.f64 (.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)))))) (((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)))))) (((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (.f64 x (log.f64 x)))))) (((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x)))))))) (((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))))) (((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (.f64 x (log.f64 x))))))) (((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))))))) (((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1))) (((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))) (((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3))) (((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3))) (((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2)))) (((x log.f64 (/.f64 x (log.f64 x))))) (((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)))) (((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))))) (((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))))) (((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)))) (((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1)))) (((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))) (((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))))) (((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))))))
((((x +.f64 0 (log.f64 (log.f64 x))))) (((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x)))))) (((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))))) (((x -.f64 (+.f64 1 (log.f64 (log.f64 x))) 1))) (((x .f64 (log.f64 (log.f64 x)) 1))) (((x .f64 1 (log.f64 (log.f64 x))))) (((x .f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))))) (((x .f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)))) (((x .f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))))) (((x pow.f64 (log.f64 (log.f64 x)) 1))) (((x pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2))) (((x pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3))) (((x pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3))) (((x sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)))) (((x cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)))) (((x expm1.f64 (log1p.f64 (log.f64 (log.f64 x)))))) (((x exp.f64 (log.f64 (log.f64 (log.f64 x)))))) (((x exp.f64 (.f64 (log.f64 (log.f64 (log.f64 x))) 1)))) (((x log1p.f64 (-.f64 (log.f64 x) 1)))))

Outputs

((((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))) (((x +.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1)))) (((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x)))))) (((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))))) (((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x)))))) (((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x)))) (((x *.f64 (log.f64 (/.f64 x (log.f64 x))) 1))) (((x *.f64 1 (log.f64 (/.f64 x (log.f64 x)))))) (((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))) (((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))) (((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))) (((x *.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x))))))) (((x *.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))))) (((x *.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x))))))) (((x /.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)))))) (((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)))))) (((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x)))))) (((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))) (((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))))) (((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x))))))) (((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))))) (((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1))) (((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))) (((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3))) (((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3))) (((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2)))) (((x log.f64 (/.f64 x (log.f64 x))))) (((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)))) (((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))))) (((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))))) (((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)))) (((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1)))) (((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))) (((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))))) (((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))))))

((((x +.f64 0 (log.f64 (log.f64 x))))) (((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x)))))) (((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))))) (((x -.f64 (+.f64 1 (log.f64 (log.f64 x))) 1))) (((x *.f64 (log.f64 (log.f64 x)) 1))) (((x *.f64 1 (log.f64 (log.f64 x))))) (((x *.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))))) (((x *.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)))) (((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))))) (((x pow.f64 (log.f64 (log.f64 x)) 1))) (((x pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2))) (((x pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3))) (((x pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3))) (((x sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)))) (((x cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)))) (((x expm1.f64 (log1p.f64 (log.f64 (log.f64 x)))))) (((x exp.f64 (log.f64 (log.f64 (log.f64 x)))))) (((x exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) 1)))) (((x log1p.f64 (-.f64 (log.f64 x) 1)))))

Details

analyze2.0ms (0.1%)

sample1.1s (63%)

preprocess238.0ms (13.9%)

simplify233.0ms (13.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.4%)

series89.0ms (5.2%)

rewrite65.0ms (3.8%)

end0.0ms (0%)

Profiling