Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	23.7%	76.3%	0%	0%	0%	0
0%	0%	23.7%	76.3%	0%	0%	0%	1
50%	11.9%	11.9%	76.3%	0%	0%	0%	2
75%	17.8%	5.9%	76.3%	0%	0%	0%	3
87.5%	20.8%	3%	76.3%	0%	0%	0%	4
93.8%	22.2%	1.5%	76.3%	0%	0%	0%	5
96.9%	23%	0.7%	76.3%	0%	0%	0%	6
98.4%	23.3%	0.4%	76.3%	0%	0%	0%	7
98.4%	23.3%	0.4%	76.3%	0%	0%	0%	8
98.8%	23.4%	0.3%	76.3%	0%	0%	0%	9
99%	23.5%	0.2%	76.3%	0%	0%	0%	10
99.1%	23.5%	0.2%	76.3%	0%	0%	0%	11
99.2%	23.5%	0.2%	76.3%	0%	0%	0%	12

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample3.9s (63.7%)

Results

2.2s	4275×	body	1024	valid
1.1s	2211×	body	512	valid
332.0ms	469×	body	2048	valid
196.0ms	1301×	body	256	valid

Bogosity

preprocess265.0ms (4.4%)

Algorithm

2×	egg-herbie

Rules

876×	`fma-def_binary64`
833×	`fma-neg_binary64`
800×	`associate--l+_binary64`
746×	`associate--r+_binary64`
437×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	26	18
2	62	18
3	145	18
4	332	17
5	679	17
6	1178	17
7	2051	17
8	2734	17
9	3161	17
10	5133	17
11	5856	17
12	6144	17
13	6170	17
14	6178	17
15	6178	17
16	6396	17
17	6652	17
18	6668	17
19	6674	17
20	6680	17
21	6680	17
22	6680	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)

Outputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify243.0ms (4%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-def_binary64`
833×	`fma-neg_binary64`
800×	`associate--l+_binary64`
746×	`associate--r+_binary64`
437×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	26	18
2	62	18
3	145	18
4	332	17
5	679	17
6	1178	17
7	2051	17
8	2734	17
9	3161	17
10	5133	17
11	5856	17
12	6144	17
13	6170	17
14	6178	17
15	6178	17
16	6396	17
17	6652	17
18	6668	17
19	6674	17
20	6680	17
21	6680	17
22	6680	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)

Outputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))

eval1.0ms (0%)

Compiler: Compiled 27 to 17 computations (37% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

44.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	63.0b	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
▶	44.2b	(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.9b	(-.f64 (log1p.f64 n) (log.f64 n))
	0.9b	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
	0.0b	(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
✓	0.0b	(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
✓	0.9b	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
✓	3.9b	(-.f64 (log1p.f64 n) (log.f64 n))

Compiler

Compiled 31 to 10 computations (67.7% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	n	@	inf	(-.f64 (log1p.f64 n) (log.f64 n))
1.0ms	n	@	-inf	(-.f64 (log1p.f64 n) (log.f64 n))
1.0ms	n	@	0	(-.f64 (log1p.f64 n) (log.f64 n))
1.0ms	n	@	inf	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
0.0ms	n	@	-inf	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)

rewrite85.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`prod-diff_binary64`
515×	`unpow-prod-down_binary64`
394×	`log-prod_binary64`
354×	`fma-def_binary64`
233×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	37
1	171	37
2	2418	37

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

Inputs
(-.f64 (log1p.f64 n) (log.f64 n))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (neg.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (.f64 (neg.f64 (log.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (neg.f64 (log.f64 n)) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 -1 (log.f64 n) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 n)) 2)) (cbrt.f64 (log.f64 n)) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 n)) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 n) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n 1) n)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 n 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 n 1) n))) (log.f64 (sqrt.f64 (/.f64 (+.f64 n 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log1p.f64 n) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2)) (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (/.f64 1 (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (/.f64 1 (+.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 n) (log.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))) (-.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 n) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))) 1) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2))) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2)) (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 n) (log.f64 n)) (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (+.f64 (log1p.f64 n) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))) (neg.f64 (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))) (neg.f64 (+.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (neg.f64 (log.f64 n)) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 n)) 2) (.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (neg.f64 (log.f64 n)) 2)) (-.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2)) (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log1p.f64 n) (log.f64 n)) (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 n 1) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 n 1) n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 n 1) (+.f64 1 (-.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 n 1) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 (log.f64 n))) (+.f64 n 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 n) (+.f64 n 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 n 1) n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 n) 1 (neg.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 n) 1 (.f64 (neg.f64 (log.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1 (fma.f64 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Outputs

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n) 1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (+.f64 -1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 1 (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 n n)) (*.f64 (cbrt.f64 n) (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2) (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) 2) (cbrt.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (+.f64 -1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (sqrt.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (+.f64 -1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) (*.f64 (sqrt.f64 n) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) (+.f64 -1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2))) (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))))))

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

818×	`sub-neg_binary64`
508×	`fma-neg_binary64`
389×	`fma-def_binary64`
338×	`associate-l_binary64`
337×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	589
1	260	535
2	747	531
3	2435	525
4	7387	525

Stop Event

1×	node limit

Counts

229 → 240

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 n))
(+.f64 n (*.f64 -1 (log.f64 n)))
(+.f64 (.f64 -1/2 (pow.f64 n 2)) (+.f64 n (.f64 -1 (log.f64 n))))
(+.f64 (.f64 1/3 (pow.f64 n 3)) (+.f64 (.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n)))))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 1 n) (.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 1 n) (.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 1 n) (.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 1 n) (.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
-1
(-.f64 (.f64 -1 (.f64 n (log.f64 n))) 1)
(-.f64 (+.f64 (pow.f64 n 2) (.f64 -1 (.f64 n (log.f64 n)))) 1)
(-.f64 (+.f64 (pow.f64 n 2) (+.f64 (.f64 -1/2 (pow.f64 n 3)) (.f64 -1 (*.f64 n (log.f64 n))))) 1)
(/.f64 -1/2 n)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/5 (/.f64 1 (pow.f64 n 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))))
(/.f64 -1/2 n)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/5 (/.f64 1 (pow.f64 n 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))))
-1
(-.f64 (.f64 n (+.f64 1 (.f64 -1 (log.f64 n)))) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 n 2)) (.f64 n (+.f64 1 (*.f64 -1 (log.f64 n))))) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/2 (pow.f64 n 2)) (.f64 n (+.f64 1 (.f64 -1 (log.f64 n)))))) 1)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))

Outputs
(*.f64 -1 (log.f64 n))
(neg.f64 (log.f64 n))
(+.f64 n (*.f64 -1 (log.f64 n)))
(+.f64 n (neg.f64 (log.f64 n)))
(-.f64 n (log.f64 n))
(+.f64 (.f64 -1/2 (pow.f64 n 2)) (+.f64 n (.f64 -1 (log.f64 n))))
(fma.f64 -1/2 (*.f64 n n) (+.f64 n (neg.f64 (log.f64 n))))
(-.f64 (fma.f64 -1/2 (*.f64 n n) n) (log.f64 n))
(fma.f64 -1/2 (*.f64 n n) (-.f64 n (log.f64 n)))
(fma.f64 n (*.f64 n -1/2) (-.f64 n (log.f64 n)))
(+.f64 (.f64 1/3 (pow.f64 n 3)) (+.f64 (.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n)))))
(fma.f64 1/3 (pow.f64 n 3) (fma.f64 -1/2 (*.f64 n n) (+.f64 n (neg.f64 (log.f64 n)))))
(fma.f64 1/3 (pow.f64 n 3) (-.f64 (fma.f64 -1/2 (*.f64 n n) n) (log.f64 n)))
(fma.f64 1/3 (pow.f64 n 3) (fma.f64 -1/2 (*.f64 n n) (-.f64 n (log.f64 n))))
(fma.f64 n (*.f64 n -1/2) (fma.f64 1/3 (pow.f64 n 3) (-.f64 n (log.f64 n))))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n)))
(-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n))
(+.f64 (/.f64 1 n) (/.f64 -1/2 (*.f64 n n)))
(-.f64 (+.f64 (/.f64 1 n) (.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n))))
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))
(-.f64 (+.f64 (/.f64 1 n) (.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4)))))
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (+.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/4 (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 -1/2 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 4)))))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 -1/4 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/3 (pow.f64 n 3)))))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n)))
(-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n))
(+.f64 (/.f64 1 n) (/.f64 -1/2 (*.f64 n n)))
(-.f64 (+.f64 (/.f64 1 n) (.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n))))
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))
(-.f64 (+.f64 (/.f64 1 n) (.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4)))))
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (+.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/4 (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 -1/2 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 4)))))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 -1/4 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/3 (pow.f64 n 3)))))
-1
(-.f64 (.f64 -1 (.f64 n (log.f64 n))) 1)
(fma.f64 -1 (*.f64 n (log.f64 n)) -1)
(fma.f64 (neg.f64 n) (log.f64 n) -1)
(-.f64 -1 (*.f64 n (log.f64 n)))
(-.f64 (+.f64 (pow.f64 n 2) (.f64 -1 (.f64 n (log.f64 n)))) 1)
(+.f64 (.f64 n n) (fma.f64 -1 (.f64 n (log.f64 n)) -1))
(fma.f64 n n (fma.f64 (neg.f64 n) (log.f64 n) -1))
(+.f64 -1 (*.f64 n (-.f64 n (log.f64 n))))
(fma.f64 n (-.f64 n (log.f64 n)) -1)
(-.f64 (+.f64 (pow.f64 n 2) (+.f64 (.f64 -1/2 (pow.f64 n 3)) (.f64 -1 (*.f64 n (log.f64 n))))) 1)
(+.f64 (.f64 n n) (-.f64 (fma.f64 -1/2 (pow.f64 n 3) (neg.f64 (.f64 n (log.f64 n)))) 1))
(+.f64 -1 (-.f64 (fma.f64 n n (.f64 -1/2 (pow.f64 n 3))) (.f64 n (log.f64 n))))
(+.f64 -1 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 n (-.f64 n (log.f64 n)))))
(fma.f64 -1/2 (pow.f64 n 3) (fma.f64 n (-.f64 n (log.f64 n)) -1))
(/.f64 -1/2 n)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))
(-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))
(+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/5 (/.f64 1 (pow.f64 n 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))))
(+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 (/.f64 1/5 (pow.f64 n 4)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))))
(+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/5 (pow.f64 n 4)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3)))) (/.f64 1/5 (pow.f64 n 4)))
(/.f64 -1/2 n)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))
(-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))
(+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/5 (/.f64 1 (pow.f64 n 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))))
(+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 (/.f64 1/5 (pow.f64 n 4)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))))
(+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/5 (pow.f64 n 4)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3)))) (/.f64 1/5 (pow.f64 n 4)))
-1
(-.f64 (.f64 n (+.f64 1 (.f64 -1 (log.f64 n)))) 1)
(fma.f64 n (+.f64 (neg.f64 (log.f64 n)) 1) -1)
(fma.f64 n (-.f64 1 (log.f64 n)) -1)
(-.f64 n (fma.f64 n (log.f64 n) 1))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 n 2)) (.f64 n (+.f64 1 (*.f64 -1 (log.f64 n))))) 1)
(+.f64 (.f64 (.f64 n n) 1/2) (fma.f64 n (+.f64 (neg.f64 (log.f64 n)) 1) -1))
(fma.f64 (*.f64 n n) 1/2 (fma.f64 n (-.f64 1 (log.f64 n)) -1))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 n (*.f64 n 1/2) -1))
(fma.f64 n (+.f64 (-.f64 1 (log.f64 n)) (*.f64 n 1/2)) -1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/2 (pow.f64 n 2)) (.f64 n (+.f64 1 (.f64 -1 (log.f64 n)))))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (.f64 n n) (.f64 n (+.f64 (neg.f64 (log.f64 n)) 1)))) -1)
(fma.f64 (pow.f64 n 3) -1/6 (fma.f64 (*.f64 n n) 1/2 (fma.f64 n (-.f64 1 (log.f64 n)) -1)))
(fma.f64 (pow.f64 n 3) -1/6 (fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 n (*.f64 n 1/2) -1)))
(fma.f64 (pow.f64 n 3) -1/6 (fma.f64 n (+.f64 (-.f64 1 (log.f64 n)) (*.f64 n 1/2)) -1))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(neg.f64 (neg.f64 (log.f64 n)))
(log.f64 n)
(+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (/.f64 1/2 n) (neg.f64 (neg.f64 (log.f64 n))))
(+.f64 (log.f64 n) (/.f64 1/2 n))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n))))
(-.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n)))
(-.f64 (log.f64 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (/.f64 1/2 n)))
(-.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n)))))
(+.f64 (-.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n))) (/.f64 1/12 (pow.f64 n 3)))
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 -1/6 (*.f64 n n))))
(+.f64 (/.f64 1/2 n) (-.f64 (log.f64 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (/.f64 1/12 (pow.f64 n 3)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 n)))
(log.f64 n)
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n)))))
(+.f64 (/.f64 1/2 n) (neg.f64 (neg.f64 (log.f64 n))))
(+.f64 (log.f64 n) (/.f64 1/2 n))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n))))
(-.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n)))
(-.f64 (log.f64 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (/.f64 1/2 n)))
(-.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n)))))
(+.f64 (-.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n))) (/.f64 1/12 (pow.f64 n 3)))
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 -1/6 (*.f64 n n))))
(+.f64 (/.f64 1/2 n) (-.f64 (log.f64 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (/.f64 1/12 (pow.f64 n 3)))))

localize24.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	4.4b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
	0.3b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
	0.3b	(*.f64 n (log.f64 n))
✓	0.3b	(*.f64 n (log.f64 n))
✓	0.3b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
✓	4.4b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

Compiler

Compiled 52 to 31 computations (40.4% saved)

series57.0ms (0.9%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	n	@	0	(*.f64 n (log.f64 n))
11.0ms	n	@	-inf	(*.f64 n (log.f64 n))
7.0ms	n	@	inf	(*.f64 n (log.f64 n))
1.0ms	n	@	0	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
1.0ms	n	@	-inf	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite99.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`fma-def_binary64`
483×	`log-prod_binary64`
353×	`pow-prod-down_binary64`
349×	`exp-prod_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	199	32
2	2737	32

Stop Event

1×	node limit

Counts

3 → 248

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(*.f64 n (log.f64 n))

Outputs
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(-.f64 (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (.f64 n (log.f64 n)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n))) (-.f64 (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (.f64 n (log.f64 n)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (.f64 n (log.f64 n)) 3)) (fma.f64 (.f64 n (log.f64 n)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n))) (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (.f64 n (log.f64 n)) 2)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (.f64 n (log.f64 n)) 3))) (neg.f64 (fma.f64 (.f64 n (log.f64 n)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n))) 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 n n)) 2)) (log.f64 (cbrt.f64 (pow.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 n n))) (log.f64 (sqrt.f64 (pow.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (log.f64 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 n (log.f64 n)))) 2)) (cbrt.f64 (log.f64 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 n (log.f64 n))))) (sqrt.f64 (log.f64 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 n n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (log.f64 n)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 n (log.f64 n)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 3) 1/3))))))

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

565×	`associate--l+_binary64`
437×	`associate-+l+_binary64`
393×	`fma-def_binary64`
364×	`times-frac_binary64`
349×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	568
1	256	450
2	792	433
3	2914	419
4	7005	419

Stop Event

1×	node limit

Counts

280 → 288

Calls

Call 1

Inputs
(*.f64 n (-.f64 1 (log.f64 n)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/12 (pow.f64 n 4)) (.f64 1/2 (pow.f64 n 2)))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 n)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
(+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 n (.f64 1/2 (pow.f64 n 2))))
(+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2)))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (.f64 n (log.f64 (/.f64 1 n)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(.f64 n (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n)))))
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))))
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (.f64 n (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))) (.f64 1/2 (/.f64 1 n))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (.f64 n (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))) (.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))

Outputs
(*.f64 n (-.f64 1 (log.f64 n)))
(-.f64 n (*.f64 n (log.f64 n)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2)))
(fma.f64 n (-.f64 1 (log.f64 n)) (.f64 1/2 (.f64 n n)))
(fma.f64 n (-.f64 1 (log.f64 n)) (.f64 n (.f64 n 1/2)))
(.f64 n (+.f64 (-.f64 1 (log.f64 n)) (.f64 n 1/2)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (.f64 1/2 (.f64 n n))))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 1/2 (.f64 n n) (.f64 -1/6 (pow.f64 n 3))))
(fma.f64 n (-.f64 1 (log.f64 n)) (.f64 (.f64 n n) (+.f64 1/2 (*.f64 n -1/6))))
(.f64 n (+.f64 (-.f64 1 (log.f64 n)) (.f64 n (+.f64 1/2 (*.f64 n -1/6)))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/12 (pow.f64 n 4)) (.f64 1/2 (pow.f64 n 2)))))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (.f64 1/2 (.f64 n n)))))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (.f64 n n) (.f64 1/12 (pow.f64 n 4)))))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 1/12 (pow.f64 n 4) (.f64 (.f64 n n) (+.f64 1/2 (*.f64 n -1/6)))))
(fma.f64 n (-.f64 1 (log.f64 n)) (.f64 (.f64 n n) (+.f64 1/2 (.f64 n (+.f64 -1/6 (.f64 n 1/12))))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 n))))
(+.f64 1 (log.f64 n))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 n)))))
(+.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/2 n))
(+.f64 1 (+.f64 (log.f64 n) (/.f64 1/2 n)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n))))
(+.f64 1 (+.f64 (/.f64 1/2 n) (-.f64 (log.f64 n) (/.f64 1/6 (*.f64 n n)))))
(+.f64 (+.f64 1 (log.f64 n)) (+.f64 (/.f64 1/2 n) (/.f64 (/.f64 -1/6 n) n)))
(+.f64 (log.f64 n) (+.f64 1 (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n)))))
(+.f64 1 (-.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/12 (pow.f64 n 3))) (/.f64 1/6 (*.f64 n n))))
(+.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 1/12 (pow.f64 n 3))) (log.f64 n)) (/.f64 1/2 n)) (/.f64 -1/6 (*.f64 n n)))
(+.f64 (log.f64 n) (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 1 (/.f64 (/.f64 -1/6 n) n))))
(+.f64 (log.f64 n) (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 1 (/.f64 -1/6 (*.f64 n n)))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 n))))
(+.f64 1 (log.f64 n))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))))
(+.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/2 n))
(+.f64 1 (+.f64 (log.f64 n) (/.f64 1/2 n)))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n))))
(+.f64 1 (+.f64 (/.f64 1/2 n) (-.f64 (log.f64 n) (/.f64 1/6 (*.f64 n n)))))
(+.f64 (+.f64 1 (log.f64 n)) (+.f64 (/.f64 1/2 n) (/.f64 (/.f64 -1/6 n) n)))
(+.f64 (log.f64 n) (+.f64 1 (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n)))))
(+.f64 1 (-.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/12 (pow.f64 n 3))) (/.f64 1/6 (*.f64 n n))))
(+.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 1/12 (pow.f64 n 3))) (log.f64 n)) (/.f64 1/2 n)) (/.f64 -1/6 (*.f64 n n)))
(+.f64 (log.f64 n) (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 1 (/.f64 (/.f64 -1/6 n) n))))
(+.f64 (log.f64 n) (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 1 (/.f64 -1/6 (*.f64 n n)))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
(+.f64 n (.f64 1/2 (.f64 n n)))
(fma.f64 1/2 (*.f64 n n) n)
(fma.f64 n (*.f64 n 1/2) n)
(+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 n (.f64 1/2 (pow.f64 n 2))))
(fma.f64 -1/6 (pow.f64 n 3) (+.f64 n (.f64 1/2 (.f64 n n))))
(fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) n))
(fma.f64 n (*.f64 n 1/2) (fma.f64 -1/6 (pow.f64 n 3) n))
(+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2)))))
(fma.f64 -1/6 (pow.f64 n 3) (+.f64 n (fma.f64 1/12 (pow.f64 n 4) (.f64 1/2 (.f64 n n)))))
(+.f64 n (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (.f64 n n) (.f64 1/12 (pow.f64 n 4)))))
(fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (fma.f64 1/2 (*.f64 n n) n)))
(+.f64 n (.f64 (.f64 n n) (+.f64 1/2 (.f64 n (+.f64 -1/6 (.f64 n 1/12))))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))
(+.f64 1 (.f64 -1 (+.f64 (neg.f64 (log.f64 n)) (.f64 n (neg.f64 (log.f64 n))))))
(+.f64 1 (+.f64 (log.f64 n) (*.f64 n (log.f64 n))))
(+.f64 (log.f64 n) (fma.f64 n (log.f64 n) 1))
(fma.f64 (+.f64 n 1) (log.f64 n) 1)
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (.f64 n (log.f64 (/.f64 1 n)))))))
(+.f64 1 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (*.f64 n (neg.f64 (log.f64 n)))))))
(+.f64 1 (+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (*.f64 n (log.f64 n)))))
(+.f64 1 (-.f64 (/.f64 1/2 n) (*.f64 (-.f64 -1 n) (log.f64 n))))
(+.f64 1 (fma.f64 (+.f64 n 1) (log.f64 n) (/.f64 1/2 n)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (.f64 n (neg.f64 (log.f64 n)))))) (/.f64 1/6 (.f64 n n))))
(+.f64 1 (+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 (.f64 n (log.f64 n)) (/.f64 1/6 (.f64 n n)))))
(+.f64 (log.f64 n) (+.f64 1 (+.f64 (/.f64 1/2 n) (fma.f64 n (log.f64 n) (/.f64 (/.f64 -1/6 n) n)))))
(+.f64 (/.f64 1/2 n) (-.f64 (fma.f64 (+.f64 n 1) (log.f64 n) 1) (/.f64 1/6 (*.f64 n n))))
(.f64 n (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n)))))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))))
(+.f64 1 (.f64 -1 (+.f64 (neg.f64 (log.f64 n)) (.f64 n (neg.f64 (log.f64 n))))))
(+.f64 1 (+.f64 (log.f64 n) (*.f64 n (log.f64 n))))
(+.f64 (log.f64 n) (fma.f64 n (log.f64 n) 1))
(fma.f64 (+.f64 n 1) (log.f64 n) 1)
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (.f64 n (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))) (.f64 1/2 (/.f64 1 n))))))
(+.f64 1 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (*.f64 n (neg.f64 (log.f64 n)))))))
(+.f64 1 (+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (*.f64 n (log.f64 n)))))
(+.f64 1 (-.f64 (/.f64 1/2 n) (*.f64 (-.f64 -1 n) (log.f64 n))))
(+.f64 1 (fma.f64 (+.f64 n 1) (log.f64 n) (/.f64 1/2 n)))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (.f64 n (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))) (.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (.f64 n (neg.f64 (log.f64 n)))))) (/.f64 1/6 (.f64 n n))))
(+.f64 1 (+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 (.f64 n (log.f64 n)) (/.f64 1/6 (.f64 n n)))))
(+.f64 (log.f64 n) (+.f64 1 (+.f64 (/.f64 1/2 n) (fma.f64 n (log.f64 n) (/.f64 (/.f64 -1/6 n) n)))))
(+.f64 (/.f64 1/2 n) (-.f64 (fma.f64 (+.f64 n 1) (log.f64 n) 1) (/.f64 1/6 (*.f64 n n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))

eval531.0ms (8.7%)

Compiler: Compiled 11897 to 5378 computations (54.8% saved)

prune82.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	527	1	528
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	529	1	530

Error

Counts

530 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log.f64 n)

Compiler

Compiled 3 to 2 computations (33.3% saved)

localize3.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(log.f64 n)

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -63.0b remaining (-∞%)

Threshold costs -63.0b (-∞%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 n)
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))

Outputs
(log.f64 n)

Calls

3 calls:

3.0ms	n
2.0ms	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
2.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

Results

Error	Segments	Branch
0b	1	`n`
0b	1	`(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)`
0b	1	`(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))`

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 n)

Outputs
(log.f64 n)

Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness611.0ms (10%)

Algorithm

2×	egg-herbie

Rules

876×	`fma-def_binary64`
833×	`fma-neg_binary64`
818×	`sub-neg_binary64`
800×	`associate--l+_binary64`
746×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	26	18
2	62	18
3	145	18
4	332	17
5	679	17
6	1178	17
7	2051	17
8	2734	17
9	3161	17
10	5133	17
11	5856	17
12	6144	17
13	6170	17
14	6178	17
15	6178	17
16	6396	17
17	6652	17
18	6668	17
19	6674	17
20	6680	17
21	6680	17
22	6680	17
0	85	589
1	260	535
2	747	531
3	2435	525
4	7387	525

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 375 to 280 computations (25.3% saved)

end15.0ms (0.2%)

Compiler: Compiled 3 to 2 computations (33.3% saved)

Details

analyze7.0ms (0.1%)

sample3.9s (63.7%)

preprocess265.0ms (4.4%)

simplify243.0ms (4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize14.0ms (0.2%)

series5.0ms (0.1%)

rewrite85.0ms (1.4%)

simplify75.0ms (1.2%)

localize24.0ms (0.4%)

series57.0ms (0.9%)

rewrite99.0ms (1.6%)

simplify73.0ms (1.2%)

eval531.0ms (8.7%)

prune82.0ms (1.3%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes9.0ms (0.1%)

simplify2.0ms (0%)

soundness611.0ms (10%)

end15.0ms (0.2%)

Profiling