Details

analyze3.0ms (0%)

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%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
75%	37.5%	12.5%	0%	12.5%	37.5%	0%	4
87.5%	43.7%	6.2%	0%	12.5%	37.5%	0%	5
93.8%	46.9%	3.1%	0%	12.5%	37.5%	0%	6
96.9%	48.4%	1.6%	0%	12.5%	37.5%	0%	7
98.4%	49.2%	0.8%	0%	12.5%	37.5%	0%	8
99.2%	49.6%	0.4%	0%	12.5%	37.5%	0%	9
99.6%	49.8%	0.2%	0%	12.5%	37.5%	0%	10
99.8%	49.9%	0.1%	0%	12.5%	37.5%	0%	11
99.9%	49.9%	0%	0%	12.5%	37.5%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.1s (27.3%)

Results

851.0ms	2063×	body	1024	valid
840.0ms	4888×	body	256	valid
261.0ms	1041×	body	512	valid
161.0ms	264×	body	2048	valid

Bogosity

preprocess23.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	8
2	17	8
3	24	8
4	33	8
5	50	8
6	87	8
7	123	8
8	170	8
9	206	8
10	232	8
11	234	8
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	8
2	17	8
3	24	8
4	33	8
5	50	8
6	87	8
7	123	8
8	170	8
9	206	8
10	232	8
11	234	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

eval2.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.1b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 N)
✓	3.0b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(-.f64 (log1p.f64 N) (log.f64 N))
2.0ms	N	@	inf	(-.f64 (log1p.f64 N) (log.f64 N))
2.0ms	N	@	0	(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms	N	@	-inf	(log1p.f64 N)
1.0ms	N	@	0	(log1p.f64 N)

rewrite109.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
541×	`add-log-exp_binary64`
541×	`expm1-log1p-u_binary64`
540×	`log1p-expm1-u_binary64`
529×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	106	11
2	1453	11

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)

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

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

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

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

726×	`fma-def_binary64`
527×	`sub-neg_binary64`
415×	`times-frac_binary64`
261×	`associate-+l+_binary64`
261×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	384
1	175	352
2	472	344
3	1489	335
4	5062	335

Stop Event

1×	node limit

Counts

74 → 84

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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)))))
(/.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)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (.f64 -1/4 (pow.f64 N 4)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.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 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 -1/2 (.f64 N N))))
(+.f64 (neg.f64 (log.f64 N)) (fma.f64 -1/2 (*.f64 N N) N))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(fma.f64 (fma.f64 N -1/2 1) N (neg.f64 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2))) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) (fma.f64 1/3 (pow.f64 N 3) N)) (log.f64 N))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (-.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 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 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 -1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(/.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 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 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 -1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
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 N (fma.f64 N -1/2 1))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2))))
(fma.f64 N (*.f64 N -1/2) (fma.f64 1/3 (pow.f64 N 3) N))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) N)
(+.f64 N (+.f64 (.f64 -1/4 (pow.f64 N 4)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/4 (pow.f64 N 4) (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 (pow.f64 N 4) -1/4 (fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))))
(fma.f64 (pow.f64 N 4) -1/4 (fma.f64 N (*.f64 N -1/2) (fma.f64 1/3 (pow.f64 N 3) N)))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (fma.f64 (pow.f64 N 4) -1/4 N))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (log.f64 N) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (+.f64 (log.f64 N) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (log.f64 N) (+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (log.f64 N) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (+.f64 (log.f64 N) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (log.f64 N) (+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3))))

eval21.0ms (0.3%)

Compiler: Compiled 1052 to 534 computations (49.2% saved)

prune19.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	74	10	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	11	85

Error

0.0b

Counts

85 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(-.f64 N (log.f64 N))
✓	29.1b	(-.f64 (log1p.f64 N) (log.f64 N))
	32.3b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
▶	29.3b	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
▶	31.4b	(/.f64 1 N)
	61.7b	(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
	29.2b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
▶	31.5b	(neg.f64 (log.f64 N))
▶	29.0b	(log.f64 (/.f64 (+.f64 N 1) N))
▶	32.1b	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
	32.6b	(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))

Compiler

Compiled 242 to 162 computations (33.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 N 1) N)
✓	3.2b	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(/.f64 (+.f64 N 1) N)
0.0ms	N	@	-inf	(log.f64 (/.f64 (+.f64 N 1) N))
0.0ms	N	@	0	(log.f64 (/.f64 (+.f64 N 1) N))
0.0ms	N	@	inf	(log.f64 (/.f64 (+.f64 N 1) N))
0.0ms	N	@	inf	(/.f64 (+.f64 N 1) N)

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`pow1_binary64`
635×	`log1p-expm1-u_binary64`
635×	`expm1-log1p-u_binary64`
634×	`add-log-exp_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	127	15
2	1707	15

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)

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

Outputs

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

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def_binary64`
701×	`associate-l_binary64`
458×	`fma-neg_binary64`
427×	`cancel-sign-sub-inv_binary64`
415×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	261
1	97	257
2	239	254
3	645	250
4	2107	250

Stop Event

1×	node limit

Counts

84 → 77

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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)))))
(/.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 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))

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 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 -1/2 (.f64 N N))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) 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 -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 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(+.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 -1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 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 -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 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(+.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 -1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
✓	0.1b	(/.f64 (/.f64 -1/2 N) N)
✓	0.4b	(/.f64 1/3 (pow.f64 N 3))
✓	14.8b	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))

Compiler

Compiled 49 to 35 computations (28.6% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
1.0ms	N	@	0	(/.f64 1/3 (pow.f64 N 3))
1.0ms	N	@	0	(/.f64 (/.f64 -1/2 N) N)
0.0ms	N	@	-inf	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
0.0ms	N	@	0	(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))

rewrite106.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`fma-def_binary64`
656×	`log-prod_binary64`
366×	`fma-neg_binary64`
359×	`log-div_binary64`
254×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	311	47
2	4637	43

Stop Event

1×	node limit

Counts

4 → 274

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 -1/2 N) N)
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))

Outputs
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(/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 N)) (log1p.f64 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (neg.f64 (log.f64 N)) (log1p.f64 (/.f64 -1/2 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 N) (.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 N) 1 (.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 N) (/.f64 -1/2 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 N) (/.f64 1 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 (pow.f64 N -2)) 1 (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -2))) (.f64 (cbrt.f64 (/.f64 -1/2 N)) (/.f64 1 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 N -2))) 2) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 N)) (cbrt.f64 (pow.f64 N -2)) (.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 N)) (.f64 (sqrt.f64 (/.f64 -1/2 N)) (/.f64 1 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (/.f64 (/.f64 -1/2 N) (sqrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 N)) (.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 N) (/.f64 1 (neg.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1) (.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1) (.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -2))) 1) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) 1) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 1 N) (cbrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -2))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (sqrt.f64 N)) (/.f64 (/.f64 1 N) (sqrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -2))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2) (/.f64 1 N))))))

simplify157.0ms (2%)

Algorithm

1×	egg-herbie

Rules

756×	`fma-neg_binary64`
692×	`distribute-neg-frac_binary64`
536×	`unswap-sqr_binary64`
475×	`associate-/r/_binary64`
334×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	405
1	56	405
2	105	405
3	223	405
4	610	405
5	2592	393
6	6185	393

Stop Event

1×	node limit

Counts

310 → 285

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.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 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 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))

Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(.f64 (/.f64 1 (.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 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 -1/2 N) N) (/.f64 -1 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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 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 -1/2 N) N) (/.f64 -1 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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) 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 -1/2 N) 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 -1/2 N) 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 -1/2 N) N) (/.f64 -1 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 -1/2 N) 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 -1/2 N) 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 -1/2 N) N) (/.f64 -1 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 -1/2 N) 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 -1/2 N) 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 -1/2 N) N) (/.f64 -1 N))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 N)
✓	0.3b	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
✓	0.4b	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
	3.0b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 27 to 10 computations (63% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
1.0ms	N	@	inf	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
0.0ms	N	@	-inf	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
0.0ms	N	@	-inf	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
0.0ms	N	@	inf	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`pow1_binary64`
706×	`add-log-exp_binary64`
706×	`expm1-log1p-u_binary64`
705×	`log1p-expm1-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	1946	19

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (log1p.f64 N)) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (pow.f64 (cbrt.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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (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 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))))))

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

643×	`distribute-rgt-in_binary64`
625×	`fma-neg_binary64`
617×	`distribute-lft-in_binary64`
506×	`fma-def_binary64`
319×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	536
1	257	526
2	813	499
3	3585	481

Stop Event

1×	node limit

Counts

93 → 99

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))
(+.f64 (.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (.f64 1/3 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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)))))
(/.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)))))

Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))))
(-.f64 (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))) (pow.f64 (log.f64 N) 3))
(.f64 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 N 3) (log.f64 N)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))))
(-.f64 (fma.f64 N (.f64 3 (pow.f64 (log.f64 N) 2)) (.f64 (.f64 N N) (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)))))) (pow.f64 (log.f64 N) 3))
(fma.f64 N (.f64 N (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 N 3) (log.f64 N))))
(fma.f64 N (.f64 N (fma.f64 (log.f64 N) -2 (-.f64 (.f64 (pow.f64 (log.f64 N) 2) -3/2) (log.f64 N)))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 N 3) (log.f64 N))))
(+.f64 (.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (.f64 1/3 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 2 (log.f64 N) (fma.f64 -1 (.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1)) (.f64 (pow.f64 (log.f64 N) 2) 1/3)))) (fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2))))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 (log.f64 N) 2 (-.f64 (.f64 (pow.f64 (log.f64 N) 2) 1/3) (.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1))))) (-.f64 (fma.f64 N (.f64 3 (pow.f64 (log.f64 N) 2)) (.f64 (.f64 N N) (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)))))) (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 (pow.f64 (log.f64 N) 2) 1/3 (.f64 (log.f64 N) (-.f64 2 (fma.f64 (log.f64 N) -2/3 -1))))) (fma.f64 N (.f64 N (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N)))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (.f64 (log.f64 N) (-.f64 (+.f64 (log.f64 N) 1) -2))) (fma.f64 N (.f64 N (fma.f64 (log.f64 N) -2 (-.f64 (.f64 (pow.f64 (log.f64 N) 2) -3/2) (log.f64 N)))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4))) (/.f64 7/4 (pow.f64 N 5)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4)))) (/.f64 15/8 (pow.f64 N 6)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 -3/2 (pow.f64 N 4)) (/.f64 -15/8 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4))) (/.f64 7/4 (pow.f64 N 5)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4)))) (/.f64 15/8 (pow.f64 N 6)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 -3/2 (pow.f64 N 4)) (/.f64 -15/8 (pow.f64 N 6)))))
(*.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 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 (.f64 N N) -1/2)))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 (.f64 N N) -1/2))))
(+.f64 N (-.f64 (fma.f64 (.f64 N N) -1/2 (.f64 (pow.f64 N 3) 1/3)) (log.f64 N)))
(+.f64 N (-.f64 (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(fma.f64 N (.f64 N (+.f64 -1/2 (.f64 N 1/3))) (-.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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 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 (/.f64 1 N) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4))))
(/.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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 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 (/.f64 1 N) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4))))

eval226.0ms (2.9%)

Compiler: Compiled 10015 to 6888 computations (31.2% saved)

prune82.0ms (1.1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	536	9	545
Fresh	5	0	5
Picked	0	1	1
Done	1	4	5
Total	542	14	556

Error

0.0b

Counts

556 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.5b	(neg.f64 (log.f64 N))
▶	29.2b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
	30.7b	(-.f64 N (log.f64 N))
✓	29.3b	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
▶	61.7b	(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
	29.3b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3)))
▶	32.3b	(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4))))
✓	29.0b	(log.f64 (/.f64 (+.f64 N 1) N))
	32.3b	(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N))))
	29.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3))
✓	31.4b	(/.f64 1 N)
✓	29.1b	(-.f64 (log1p.f64 N) (log.f64 N))
▶	32.6b	(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
▶	32.1b	(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))

Compiler

Compiled 342 to 234 computations (31.6% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (log1p.f64 N) 3)
✓	0.5b	(*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))
✓	0.7b	(pow.f64 (log.f64 N) 3)
✓	3.0b	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))

Compiler

Compiled 78 to 30 computations (61.5% saved)

series66.0ms (0.8%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	N	@	0	(pow.f64 (log.f64 N) 3)
21.0ms	N	@	-inf	(pow.f64 (log.f64 N) 3)
11.0ms	N	@	inf	(pow.f64 (log.f64 N) 3)
3.0ms	N	@	inf	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
3.0ms	N	@	-inf	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
449×	`fma-def_binary64`
402×	`pow-prod-down_binary64`
273×	`pow2_binary64`
226×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	232	39
2	3057	39

Stop Event

1×	node limit

Counts

4 → 205

Calls

Call 1

Inputs
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (log1p.f64 N) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 N) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 N) 5/2) (sqrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log1p.f64 N) 2) 1) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 N) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 N))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 9 (log.f64 (log1p.f64 N))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))))))

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

440×	`times-frac_binary64`
412×	`associate-r_binary64`
412×	`associate-l_binary64`
374×	`distribute-rgt-in_binary64`
362×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2528
1	774	2253
2	2941	2003

Stop Event

1×	node limit

Counts

249 → 275

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (pow.f64 N 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2)) N)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N) (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3)))))))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 N)) (+.f64 11/12 (.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -4/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))))))))) (/.f64 1 (pow.f64 N 4)))
(.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))))))) (pow.f64 N 3))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4))) (+.f64 (.f64 2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))))))) (pow.f64 N 3))) (/.f64 (.f64 (+.f64 11/12 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (pow.f64 N 4)))))))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (log.f64 N) 2)
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) N))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 N 2) (log.f64 N))) (*.f64 (log.f64 N) N)))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 N 2) (log.f64 N))) (+.f64 (.f64 (log.f64 N) N) (.f64 1/3 (*.f64 (pow.f64 N 3) (log.f64 N))))))
(*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2))
(+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 N)) N)))
(+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 N)) N)) (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)))))
(+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 N)) N)) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))))))
(.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (/.f64 (log.f64 -1) N) (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N))))
(+.f64 (/.f64 (log.f64 -1) N) (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N)) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 -1) N) (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N)) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(pow.f64 N 3)
(+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (+.f64 (*.f64 -15/8 (pow.f64 N 6)) (pow.f64 N 3))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))))))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))))

Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (log.f64 N) 3))
(pow.f64 (neg.f64 (log.f64 N)) 3)
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (pow.f64 N 3))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (pow.f64 N 3))
(-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3)))
(-.f64 (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3)) (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))))
(fma.f64 7/4 (pow.f64 N 5) (fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3))))
(fma.f64 7/4 (pow.f64 N 5) (-.f64 (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3)) (pow.f64 (log.f64 N) 3)))
(-.f64 (fma.f64 7/4 (pow.f64 N 5) (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3))) (pow.f64 (log.f64 N) 3))
(/.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2)) N)
(/.f64 (*.f64 3 (pow.f64 (neg.f64 (log.f64 N)) 2)) N)
(*.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N))
(*.f64 (/.f64 3 N) (pow.f64 (log.f64 N) 2))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (fma.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N) (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (.f64 N N) (-.f64 1 (log.f64 N))))))
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(fma.f64 -1 (/.f64 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (/.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N)))))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (log.f64 N) 2) N))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 N N) (-.f64 1 (log.f64 N))))))))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (pow.f64 N 3) (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1))))
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(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (/.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (pow.f64 N 4)) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 N)) (/.f64 (pow.f64 N 4) (+.f64 11/12 (.f64 (neg.f64 (log.f64 N)) 1/2)))) (fma.f64 -1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 4)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -4/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N))))))))))))) (/.f64 1 (pow.f64 N 4)))
(+.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 -1/2 (/.f64 (-.f64 1 (log.f64 N)) (pow.f64 N 4)) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 4)) (-.f64 (fma.f64 -4/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (log.f64 N) 2) N)))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (.f64 N N) (-.f64 1 (log.f64 N)))))) (.f64 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (fma.f64 (neg.f64 (log.f64 N)) 1/2 11/12)))))))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (pow.f64 N 3) (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1)))) (/.f64 -1 (pow.f64 N 4)))
(+.f64 (.f64 (/.f64 (+.f64 -1 (.f64 (log.f64 N) 2/3)) (pow.f64 N 3)) (log.f64 N)) (+.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (/.f64 1/3 (.f64 N N)) 1) (/.f64 (pow.f64 (log.f64 N) 2) N)) (.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 -2 (/.f64 -4/3 (.f64 N N))))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 4)) (.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 1 (log.f64 N)) N)))) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (.f64 (/.f64 (log.f64 N) (pow.f64 N 4)) (fma.f64 (neg.f64 (log.f64 N)) 1/2 11/12)))) (fma.f64 -1/2 (/.f64 (-.f64 1 (log.f64 N)) (pow.f64 N 4)) (/.f64 (*.f64 -2 (log.f64 N)) (pow.f64 N 3))))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -1 (pow.f64 N 4)))))
(.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N))
(neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N))
(neg.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3)))
(/.f64 (*.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (.f64 N N)) (+.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (.f64 N N) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N))))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3)))
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(fma.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 3)) (+.f64 (/.f64 (log.f64 -1) N) (fma.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N) (/.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) (*.f64 N N))))))
(+.f64 (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (-.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 (.f64 N N) -1/2)) (/.f64 (log.f64 (/.f64 -1 N)) N))) (fma.f64 1/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 3)) (/.f64 (log.f64 -1) N)))
(fma.f64 1/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (.f64 2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (/.f64 -1/2 N))))
(pow.f64 N 3)
(+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))
(fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(fma.f64 7/4 (pow.f64 N 5) (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3)))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (+.f64 (*.f64 -15/8 (pow.f64 N 6)) (pow.f64 N 3))))
(fma.f64 7/4 (pow.f64 N 5) (fma.f64 -3/2 (pow.f64 N 4) (fma.f64 -15/8 (pow.f64 N 6) (pow.f64 N 3))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))
(fma.f64 -1 (pow.f64 (neg.f64 (log.f64 N)) 3) (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N)))
(-.f64 (*.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N)) (pow.f64 (neg.f64 (log.f64 N)) 3))
(fma.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N) (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -1 (pow.f64 (neg.f64 (log.f64 N)) 3) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (-.f64 (fma.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N) (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)))) (pow.f64 (neg.f64 (log.f64 N)) 3)) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (.f64 N N) (-.f64 1 (log.f64 N))))))
(+.f64 (+.f64 (+.f64 (.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 1 (log.f64 N)) N)) (/.f64 (.f64 2 (log.f64 N)) (.f64 N N))) (.f64 (/.f64 (pow.f64 (log.f64 N) 2) N) (+.f64 3 (/.f64 -1/2 N)))) (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))))))
(fma.f64 -1 (/.f64 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (/.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 -1 (pow.f64 (neg.f64 (log.f64 N)) 3) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N))))))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (log.f64 N) 2) N))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 N N) (-.f64 1 (log.f64 N)))))))) (pow.f64 (neg.f64 (log.f64 N)) 3))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (pow.f64 N 3) (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1))))
(+.f64 (.f64 (/.f64 (+.f64 -1 (.f64 (log.f64 N) 2/3)) (pow.f64 N 3)) (log.f64 N)) (+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (pow.f64 (log.f64 N) 3)) (.f64 2 (-.f64 (/.f64 (pow.f64 (log.f64 N) 2) N) (/.f64 (log.f64 N) (pow.f64 N 3))))) (+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) (.f64 N N)) (.f64 (+.f64 (/.f64 1/3 (.f64 N N)) 1) (/.f64 (pow.f64 (log.f64 N) 2) N))) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (*.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 1 (log.f64 N)) N))))))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3))
(-.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3)))
(+.f64 (/.f64 (*.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (.f64 N N)) (+.f64 (+.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (.f64 N N) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3))))
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3))
(+.f64 (/.f64 (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N) (+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (+.f64 (+.f64 1 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) 2)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (fma.f64 -1 (/.f64 (fma.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (fma.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (fma.f64 -1 (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (neg.f64 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (.f64 N N)) (+.f64 (+.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (.f64 N N) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3)))))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (-.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) -1/3 (+.f64 (-.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (log.f64 (/.f64 -1 N))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (log.f64 -1)))) (pow.f64 N 3)))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3)) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3)))
(+.f64 (/.f64 (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N) (-.f64 (+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (+.f64 (+.f64 1 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) 2)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3))) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) -1/3 (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) 1)) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))))

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
	0.1b	(/.f64 (/.f64 -1/2 N) N)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
0.0ms	N	@	inf	(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
0.0ms	N	@	-inf	(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))

rewrite72.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`prod-diff_binary64`
445×	`log-prod_binary64`
304×	`fma-def_binary64`
239×	`pow2_binary64`
237×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	189	10
2	2892	10

Stop Event

1×	node limit

Counts

1 → 169

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))

Outputs

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(cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)) (*.f64 (/.f64 1 N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1/2) N) (sqrt.f64 (/.f64 -1 N))) (-.f64 (/.f64 (sqrt.f64 -1/2) N) (sqrt.f64 (/.f64 -1 N))) (fma.f64 (/.f64 -1 N) -1 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1/2) N) (sqrt.f64 (/.f64 -1 N))) (-.f64 (/.f64 (sqrt.f64 -1/2) N) (sqrt.f64 (/.f64 -1 N))) (fma.f64 (/.f64 1 N) 1 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1/2) N) (sqrt.f64 (/.f64 -1 N))) (-.f64 (/.f64 (sqrt.f64 -1/2) N) (sqrt.f64 (/.f64 -1 N))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1 N))) (cbrt.f64 (pow.f64 N -2)) (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1/2) N) (sqrt.f64 (/.f64 -1 N))) (-.f64 (/.f64 (sqrt.f64 -1/2) N) (sqrt.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 -1 N)) (*.f64 -1/2 (pow.f64 N -2)))))))

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

732×	`times-frac_binary64`
554×	`fma-neg_binary64`
536×	`associate-/r*_binary64`
494×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	132
1	26	132
2	46	132
3	100	132
4	263	132
5	947	132
6	5090	132

Stop Event

1×	node limit

Counts

181 → 174

Calls

Call 1

Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))

Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
✓	0.3b	(/.f64 1 (*.f64 N N))
✓	0.3b	(/.f64 1/3 N)

Compiler

Compiled 38 to 24 computations (36.8% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(/.f64 1/3 N)
0.0ms	N	@	inf	(/.f64 1/3 N)
0.0ms	N	@	-inf	(/.f64 1/3 N)
0.0ms	N	@	0	(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
0.0ms	N	@	inf	(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`log-prod_binary64`
365×	`exp-prod_binary64`
297×	`pow-prod-down_binary64`
278×	`pow2_binary64`
230×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	242	25
2	3046	25

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs
(/.f64 1/3 N)
(/.f64 1 (*.f64 N N))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 N))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 N)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 N)) (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 N) -2)) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 N -1/2)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 N) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 N -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 N 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 N 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 N))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/3 N)))) (sqrt.f64 (log.f64 (/.f64 1/3 N))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/3 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/3 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/3 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/3 N))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 N 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 N)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 N -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 N -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 N) -2) (cbrt.f64 (pow.f64 N -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 N) -2) (/.f64 (/.f64 1 N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 N -4)) (pow.f64 (cbrt.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1/2) (pow.f64 N -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -3/2) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -2) (pow.f64 (cbrt.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 N) -2) 1) (/.f64 (/.f64 1 (cbrt.f64 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 N -1/2) 1) (pow.f64 N -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 N) -2) (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 N -1/2) (pow.f64 (cbrt.f64 N) 2)) (pow.f64 N -5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 N) -2) (sqrt.f64 N)) (/.f64 (/.f64 1 (cbrt.f64 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 N -2) 5/6) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 N -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 N N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 -2 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N -3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 N) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 N) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 N)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 N) -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 N) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N -1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 2 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 N) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 N -3) (pow.f64 N 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 N (neg.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 N))) 2)) (cbrt.f64 (*.f64 -2 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 N)))) (sqrt.f64 (*.f64 -2 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 N -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 N -6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 N -3) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 N)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 N -6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 N) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 N) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 N) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 N)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 N)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 N)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 N) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 N)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 N -2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) 1) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))) (sqrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 N -6) (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3)) (pow.f64 N -3)) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) 2) (-.f64 (pow.f64 N -2) (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) 2) (pow.f64 N -2)) (-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 N))) (exp.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N))) (+.f64 1 (expm1.f64 (/.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))))))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
709×	`distribute-neg-frac_binary64`
536×	`unswap-sqr_binary64`
456×	`associate-/r/_binary64`
330×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	273
1	55	273
2	103	273
3	220	273
4	597	273
5	2542	261
6	6100	261

Stop Event

1×	node limit

Counts

162 → 149

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.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 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 1/2 (/.f64 1 (pow.f64 N 2))))

Outputs
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/3 (pow.f64 N 3)))
(.f64 (/.f64 -1 (.f64 N N)) (-.f64 1/2 (/.f64 1/3 N)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 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 -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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 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 -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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))

localize65.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1/4 (pow.f64 N 4))
	0.4b	(/.f64 1/3 (pow.f64 N 3))
✓	14.8b	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
✓	24.8b	(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4)))

Compiler

Compiled 84 to 58 computations (31% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(/.f64 -1/4 (pow.f64 N 4))
1.0ms	N	@	0	(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4)))
0.0ms	N	@	inf	(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4)))
0.0ms	N	@	0	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
0.0ms	N	@	inf	(/.f64 -1/4 (pow.f64 N 4))

rewrite110.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`fma-def_binary64`
387×	`fma-neg_binary64`
346×	`log-div_binary64`
292×	`expm1-udef_binary64`
292×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	364	42
2	5095	42

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(/.f64 -1/4 (pow.f64 N 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/4 (pow.f64 N -4)))) (/.f64 (/.f64 1/16 (pow.f64 N 8)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/4 (pow.f64 N -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 1/3 (pow.f64 N -3))) (/.f64 1/2 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 3)) (/.f64 1 (fma.f64 (*.f64 -1/4 (pow.f64 N -4)) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/4 (pow.f64 N -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -1/4 (pow.f64 N -4)) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2)) (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/4 (pow.f64 N -4))) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2) (/.f64 1/16 (pow.f64 N 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 3)) (fma.f64 (*.f64 -1/4 (pow.f64 N -4)) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 3)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (*.f64 -1/4 (pow.f64 N -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2) (/.f64 1/16 (pow.f64 N 8))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 3))) (neg.f64 (fma.f64 (*.f64 -1/4 (pow.f64 N -4)) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2) (/.f64 1/16 (pow.f64 N 8)))) (neg.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/4 (pow.f64 N -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (neg.f64 (pow.f64 N 3)) 1/2)) (pow.f64 N 4) (*.f64 (pow.f64 N 5) -1/4)) (*.f64 (pow.f64 N 5) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (pow.f64 N 4) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) -1/4)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (pow.f64 N 4) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1/2 (*.f64 N N))) -1/4)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1/2 (*.f64 N N))) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (neg.f64 (pow.f64 N 3)) 1/2)) (*.f64 (pow.f64 N 4) -4) (*.f64 (pow.f64 N 5) 1)) (*.f64 (pow.f64 N 5) (*.f64 (pow.f64 N 4) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (*.f64 (pow.f64 N 4) -4) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) 1)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 N -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (pow.f64 N -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/4 (pow.f64 N -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/4 (pow.f64 N -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 -1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/4) (*.f64 N N)) (/.f64 (sqrt.f64 -1/4) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/4 (pow.f64 N -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 N -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/4) (*.f64 N N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 N 4) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 N -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 N -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/64 (pow.f64 (pow.f64 N -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 N -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 N -4))))))))

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

457×	`times-frac_binary64`
440×	`distribute-rgt-neg-in_binary64`
399×	`distribute-lft-neg-in_binary64`
356×	`div-sub_binary64`
347×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	384
1	68	384
2	145	384
3	333	384
4	1173	384
5	5274	384
6	7377	384

Stop Event

1×	node limit

Counts

262 → 248

Calls

Call 1

Inputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (.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 1/3 (/.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 -1/2 (pow.f64 N 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.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 1/3 (/.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 -1/2 (pow.f64 N 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.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 1/3 (/.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 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))

Outputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 N) -1/3))
(-.f64 (.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N 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 1/3 (/.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(-.f64 (.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N 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 1/3 (/.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(-.f64 (.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N 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 1/3 (/.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) 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 1/2 N) N))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
✓	0.0b	(sqrt.f64 (log.f64 N))
	3.0b	(-.f64 (log1p.f64 N) (log.f64 N))
✓	30.4b	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))

Compiler

Compiled 44 to 8 computations (81.8% saved)

series6.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))
1.0ms	N	@	0	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))
1.0ms	N	@	-inf	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))
1.0ms	N	@	-inf	(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
0.0ms	N	@	inf	(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

915×	`pow1_binary64`
855×	`add-log-exp_binary64`
854×	`expm1-log1p-u_binary64`
853×	`log1p-expm1-u_binary64`
107×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	202	19
2	3088	19

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs

(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))

(sqrt.f64 (log.f64 N))

(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (sqrt.f64 (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 N) 1/4) (neg.f64 (pow.f64 (log.f64 N) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 1/2) (pow.f64 (cbrt.f64 (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 N) 1/4)) (pow.f64 (log.f64 N) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (log.f64 N))) (cbrt.f64 (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (log.f64 N) 1/4)) (pow.f64 (log.f64 N) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 N) (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 N) 3/2)) (+.f64 0 (+.f64 (log.f64 N) (*.f64 0 (sqrt.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 N) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 N) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 N) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 N) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 N))))))))

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

558×	`sub-neg_binary64`
445×	`associate-+l+_binary64`
408×	`associate--l+_binary64`
385×	`fma-def_binary64`
342×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	520
1	243	272
2	907	237
3	4086	205
4	7777	205

Stop Event

1×	node limit

Counts

144 → 139

Calls

Call 1

Inputs
(+.f64 (log.f64 N) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 N) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 N) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 N) (*.f64 -1 (log.f64 N)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 N))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N))))) (.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))) (.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 2 (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 -1 (log.f64 (/.f64 -1 N))))))

Outputs
(+.f64 (log.f64 N) (*.f64 -1 (log.f64 N)))
(*.f64 0 (log.f64 N))
0
(+.f64 (log.f64 N) (*.f64 -1 (log.f64 N)))
(*.f64 0 (log.f64 N))
0
(+.f64 (log.f64 N) (*.f64 -1 (log.f64 N)))
(*.f64 0 (log.f64 N))
0
(+.f64 (log.f64 N) (*.f64 -1 (log.f64 N)))
(*.f64 0 (log.f64 N))
0
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(*.f64 0 (log.f64 N))
0
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(*.f64 0 (log.f64 N))
0
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(*.f64 0 (log.f64 N))
0
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(*.f64 0 (log.f64 N))
0
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(*.f64 0 (log.f64 N))
0
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(*.f64 0 (log.f64 N))
0
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(*.f64 0 (log.f64 N))
0
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(*.f64 0 (log.f64 N))
0
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 N))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(sqrt.f64 (log.f64 N))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(sqrt.f64 (log.f64 N))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(sqrt.f64 (log.f64 N))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(sqrt.f64 (log.f64 N))
(*.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 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 -1/2 (.f64 N N))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 N (-.f64 (.f64 (.f64 N N) (+.f64 (*.f64 N 1/3) -1/2)) (log.f64 N)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N))))) (.f64 -1 (log.f64 (/.f64 1 N))))
(*.f64 0 (log.f64 N))
0
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))) (.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (/.f64 1 N) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 N)) (neg.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)))) (neg.f64 (neg.f64 (log.f64 N)))))
(+.f64 (/.f64 1 N) 0)
(/.f64 1 N)
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 N)) (neg.f64 (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)))) (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1/2 (.f64 N N)))))
(+.f64 (/.f64 1 N) (-.f64 0 (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 N)) (fma.f64 -1 (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/3 (pow.f64 N 3)))) (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1/2 (.f64 N N)))))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (log.f64 N) (/.f64 1/2 (*.f64 N N))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(*.f64 0 (log.f64 N))
0
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (/.f64 1 N) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 N)) (neg.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)))) (neg.f64 (neg.f64 (log.f64 N)))))
(+.f64 (/.f64 1 N) 0)
(/.f64 1 N)
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 (/.f64 1 N) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 N)) (neg.f64 (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)))) (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1/2 (.f64 N N)))))
(+.f64 (/.f64 1 N) (-.f64 0 (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 2 (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 (/.f64 1 N) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 N)) (fma.f64 -1 (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/3 (pow.f64 N 3)))) (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1/2 (.f64 N N)))))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (log.f64 N) (/.f64 1/2 (*.f64 N N))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))

eval560.0ms (7.2%)

Compiler: Compiled 29715 to 18254 computations (38.6% saved)

prune166.0ms (2.1%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	1135	5	1140
Fresh	1	3	4
Picked	0	1	1
Done	1	8	9
Total	1137	17	1154

Error

0.0b

Counts

1154 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.4b	(/.f64 1 N)
▶	30.1b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3))))
	29.3b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
✓	31.5b	(neg.f64 (log.f64 N))
✓	29.2b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
✓	32.6b	(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
▶	61.7b	(+.f64 (log.f64 (/.f64 (+.f64 N 1) N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
▶	30.7b	(-.f64 N (log.f64 N))
✓	29.3b	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
✓	61.7b	(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
✓	32.3b	(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4))))
✓	29.0b	(log.f64 (/.f64 (+.f64 N 1) N))
	32.3b	(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N))))
▶	29.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3))
	32.1b	(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))
✓	29.1b	(-.f64 (log1p.f64 N) (log.f64 N))
▶	32.6b	(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)

Compiler

Compiled 373 to 252 computations (32.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3))
✓	0.4b	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3)
	0.4b	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
	3.0b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 48 to 21 computations (56.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3)
0.0ms	N	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3)
0.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3)
0.0ms	N	@	inf	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3))
0.0ms	N	@	-inf	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3))

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`expm1-log1p-u_binary64`
707×	`log1p-expm1-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	216	19
2	1990	19

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3)
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (log1p.f64 N)) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (pow.f64 (cbrt.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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (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 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))))))

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

643×	`distribute-rgt-in_binary64`
625×	`fma-neg_binary64`
617×	`distribute-lft-in_binary64`
506×	`fma-def_binary64`
319×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	536
1	257	526
2	813	499
3	3585	481

Stop Event

1×	node limit

Counts

93 → 99

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))
(+.f64 (.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (.f64 1/3 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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)))))
(/.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)))))

Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))))
(-.f64 (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))) (pow.f64 (log.f64 N) 3))
(.f64 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 N 3) (log.f64 N)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))))
(-.f64 (fma.f64 N (.f64 3 (pow.f64 (log.f64 N) 2)) (.f64 (.f64 N N) (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)))))) (pow.f64 (log.f64 N) 3))
(fma.f64 N (.f64 N (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 N 3) (log.f64 N))))
(fma.f64 N (.f64 N (fma.f64 (log.f64 N) -2 (-.f64 (.f64 (pow.f64 (log.f64 N) 2) -3/2) (log.f64 N)))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 N 3) (log.f64 N))))
(+.f64 (.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (.f64 1/3 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 2 (log.f64 N) (fma.f64 -1 (.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1)) (.f64 (pow.f64 (log.f64 N) 2) 1/3)))) (fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2))))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 (log.f64 N) 2 (-.f64 (.f64 (pow.f64 (log.f64 N) 2) 1/3) (.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1))))) (-.f64 (fma.f64 N (.f64 3 (pow.f64 (log.f64 N) 2)) (.f64 (.f64 N N) (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)))))) (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 (pow.f64 (log.f64 N) 2) 1/3 (.f64 (log.f64 N) (-.f64 2 (fma.f64 (log.f64 N) -2/3 -1))))) (fma.f64 N (.f64 N (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N)))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (.f64 (log.f64 N) (-.f64 (+.f64 (log.f64 N) 1) -2))) (fma.f64 N (.f64 N (fma.f64 (log.f64 N) -2 (-.f64 (.f64 (pow.f64 (log.f64 N) 2) -3/2) (log.f64 N)))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4))) (/.f64 7/4 (pow.f64 N 5)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4)))) (/.f64 15/8 (pow.f64 N 6)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 -3/2 (pow.f64 N 4)) (/.f64 -15/8 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4))) (/.f64 7/4 (pow.f64 N 5)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4)))) (/.f64 15/8 (pow.f64 N 6)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 -3/2 (pow.f64 N 4)) (/.f64 -15/8 (pow.f64 N 6)))))
(*.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 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 (.f64 N N) -1/2)))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 (.f64 N N) -1/2))))
(+.f64 N (-.f64 (fma.f64 (.f64 N N) -1/2 (.f64 (pow.f64 N 3) 1/3)) (log.f64 N)))
(+.f64 N (-.f64 (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(fma.f64 N (.f64 N (+.f64 -1/2 (.f64 N 1/3))) (-.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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 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 (/.f64 1 N) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4))))
(/.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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 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 (/.f64 1 N) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
1.0ms	N	@	0	(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
1.0ms	N	@	inf	(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`pow1_binary64`
749×	`add-log-exp_binary64`
749×	`log1p-expm1-u_binary64`
749×	`expm1-log1p-u_binary64`
736×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	10
2	2040	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)

Outputs

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

732×	`times-frac_binary64`
554×	`fma-neg_binary64`
536×	`associate-/r*_binary64`
494×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	132
1	26	132
2	46	132
3	100	132
4	263	132
5	947	132
6	5090	132

Stop Event

1×	node limit

Counts

43 → 36

Calls

Call 1

Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))

Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 N (log.f64 N))

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(-.f64 N (log.f64 N))
0.0ms	N	@	-inf	(-.f64 N (log.f64 N))
0.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite44.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`pow1_binary64`
491×	`add-sqr-sqrt_binary64`
475×	`add-log-exp_binary64`
475×	`log1p-expm1-u_binary64`
475×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	88	6
2	1262	6

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 N (log.f64 N))

Outputs

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

simplify158.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1741×	`fma-neg_binary64`
851×	`distribute-rgt-in_binary64`
627×	`fma-def_binary64`
525×	`distribute-lft-in_binary64`
297×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	79
1	37	61
2	72	61
3	141	61
4	331	61
5	941	61
6	3007	61
7	4269	61
8	4843	61
9	5305	61
10	5863	61
11	5960	61
12	7638	61
13	7666	61
14	7682	61
15	7718	61
16	7998	61

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))

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 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log.f64 (/.f64 (+.f64 N 1) N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
	0.0b	(sqrt.f64 (log.f64 N))
	3.2b	(log.f64 (/.f64 (+.f64 N 1) N))
	30.4b	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))

Compiler

Compiled 53 to 20 computations (62.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.f64 (log.f64 (/.f64 (+.f64 N 1) N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))

0.0ms

-inf

(+.f64 (log.f64 (/.f64 (+.f64 N 1) N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))

0.0ms

inf

(+.f64 (log.f64 (/.f64 (+.f64 N 1) N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))

rewrite94.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`prod-diff_binary64`
493×	`log-prod_binary64`
365×	`fma-def_binary64`
263×	`pow2_binary64`
215×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	237	15
2	3360	8

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 (+.f64 N 1) N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 N) (log.f64 (/.f64 N (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (*.f64 N (-.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (log1p.f64 N)) (log.f64 (/.f64 N (sqrt.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (log.f64 (/.f64 N (cbrt.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (*.f64 N (-.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2) (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N)))) (/.f64 (pow.f64 (log.f64 (*.f64 N N)) 2) (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (*.f64 N N)) (log1p.f64 N)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (fma.f64 -1 N -1))) (log.f64 (neg.f64 (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) 1)) (log.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (fma.f64 N N -1) 1)) (log.f64 (*.f64 (-.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (+.f64 N 1) 1)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 (*.f64 N N)))) (log.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N)) (log.f64 (-.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (fma.f64 N N -1) N)) (log.f64 (-.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (log.f64 (*.f64 N N)) 3)) (/.f64 1 (fma.f64 (log.f64 (*.f64 N N)) (log.f64 (/.f64 (*.f64 N N) (*.f64 N (+.f64 N 1)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N)))) (/.f64 1 (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 (*.f64 N N)) (log.f64 (/.f64 (*.f64 N N) (*.f64 N (+.f64 N 1)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)) (+.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (log.f64 (*.f64 N N)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (log.f64 (*.f64 N N)) 3)) (fma.f64 (log.f64 (*.f64 N N)) (log.f64 (/.f64 (*.f64 N N) (*.f64 N (+.f64 N 1)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (log.f64 (*.f64 N N)) 3)) (+.f64 (pow.f64 (log.f64 (*.f64 N N)) 2) (-.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N)))) (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (log.f64 (*.f64 N N)) 3))) (neg.f64 (fma.f64 (log.f64 (*.f64 N N)) (log.f64 (/.f64 (*.f64 N N) (*.f64 N (+.f64 N 1)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N))))) (neg.f64 (-.f64 (log1p.f64 N) (*.f64 3 (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 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (*.f64 N N)) 2) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)) (log.f64 (/.f64 (*.f64 N N) (*.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 (*.f64 N N)) (log.f64 (/.f64 (*.f64 N N) (*.f64 N (+.f64 N 1)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)) (+.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (log.f64 (*.f64 N N)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (*.f64 3 (log.f64 N))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 N (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (fma.f64 N (+.f64 N 1) -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 1 (fma.f64 N (+.f64 N 1) -1)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 N (+.f64 N 1)) (+.f64 1 (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (fma.f64 N (+.f64 N 1) -1)) (+.f64 1 (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (fma.f64 N N -1)) (*.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 N N) (+.f64 1 (fma.f64 N (+.f64 N 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (fma.f64 N N -1)) (+.f64 1 (fma.f64 N (+.f64 N 1) -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 cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 N (+.f64 N 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 N) (log.f64 (*.f64 N (*.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (*.f64 N N)) (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 (/.f64 N (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1 (log.f64 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 N) 1 (log.f64 (*.f64 N (*.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (log.f64 (*.f64 N (*.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (*.f64 N N)) 1 (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)) (log.f64 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (*.f64 N N))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 N N))) 2) (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 N N))) 2) (cbrt.f64 (log.f64 (*.f64 N N))) (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 (*.f64 N (*.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N))) (log.f64 (*.f64 N (*.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (log.f64 N)) (log.f64 (*.f64 N (*.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 N) 1/4) (*.f64 (pow.f64 (log.f64 N) 1/4) (sqrt.f64 (log.f64 N))) (log.f64 (*.f64 N (*.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (*.f64 N N))) (sqrt.f64 (log.f64 (*.f64 N N))) (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log.f64 N) (log.f64 (*.f64 N (*.f64 N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (log.f64 N) 1/4) 3) (pow.f64 (log.f64 N) 1/4) (log.f64 (*.f64 N (*.f64 N (+.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)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 N (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 N (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))) (cbrt.f64 (sqrt.f64 (log.f64 N))) (log.f64 (*.f64 N (*.f64 N (+.f64 N 1)))))))))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

808×	`unsub-neg_binary64`
602×	`fma-neg_binary64`
486×	`+-commutative_binary64`
466×	`associate--l-_binary64`
357×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	330
1	189	205
2	653	132
3	2580	125
4	7042	125

Stop Event

1×	node limit

Counts

108 → 116

Calls

Call 1

Inputs
(+.f64 (log.f64 N) (*.f64 -2 (log.f64 N)))
(+.f64 N (+.f64 (log.f64 N) (*.f64 -2 (log.f64 N))))
(+.f64 N (+.f64 (log.f64 N) (+.f64 (.f64 -2 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (+.f64 (log.f64 N) (+.f64 (.f64 -2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))

Outputs
(+.f64 (log.f64 N) (*.f64 -2 (log.f64 N)))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (+.f64 (log.f64 N) (*.f64 -2 (log.f64 N))))
(+.f64 N (*.f64 -1 (log.f64 N)))
(fma.f64 -1 (log.f64 N) N)
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (log.f64 N) (+.f64 (.f64 -2 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (*.f64 N N))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 (.f64 -1/2 N) N)))
(fma.f64 (log.f64 N) -1 (fma.f64 N (*.f64 N -1/2) N))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (log.f64 N) (+.f64 (.f64 -2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2))))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (*.f64 N N)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 (.f64 -1/2 N) N))))
(+.f64 N (-.f64 (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(+.f64 N (fma.f64 (.f64 N N) (+.f64 -1/2 (.f64 N 1/3)) (neg.f64 (log.f64 N))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))
(.f64 -1 (+.f64 (neg.f64 (log.f64 N)) (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (log.f64 N) (log.f64 N))
0
(+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N))))))
(fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (neg.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (log.f64 N) (-.f64 (/.f64 1 N) (log.f64 N)))
(+.f64 (/.f64 1 N) 0)
(/.f64 1 N)
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (neg.f64 (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2))))) (/.f64 1/2 (.f64 N N)))
(+.f64 (log.f64 N) (+.f64 (-.f64 (/.f64 1 N) (log.f64 N)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (fma.f64 -1 (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/3 (pow.f64 N 3))))) (/.f64 1/2 (.f64 N N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 N)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(.f64 -1 (+.f64 (neg.f64 (log.f64 N)) (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (log.f64 N) (log.f64 N))
0
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (neg.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (log.f64 N) (-.f64 (/.f64 1 N) (log.f64 N)))
(+.f64 (/.f64 1 N) 0)
(/.f64 1 N)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (neg.f64 (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2))))) (/.f64 1/2 (.f64 N N)))
(+.f64 (log.f64 N) (+.f64 (-.f64 (/.f64 1 N) (log.f64 N)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (fma.f64 -1 (.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/3 (pow.f64 N 3))))) (/.f64 1/2 (.f64 N N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 N)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)))

localize43.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))
	0.7b	(pow.f64 (log.f64 N) 3)
✓	1.8b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3))
	3.0b	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))

Compiler

Compiled 132 to 43 computations (67.4% saved)

series25.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	N	@	-inf	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3))
8.0ms	N	@	inf	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3))
4.0ms	N	@	0	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3))
2.0ms	N	@	-inf	(cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))
1.0ms	N	@	inf	(cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))

rewrite117.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

993×	`pow1_binary64`
924×	`add-log-exp_binary64`
924×	`expm1-log1p-u_binary64`
923×	`log1p-expm1-u_binary64`
108×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	221	28
2	2791	28

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3))
(cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 N) (log1p.f64 N)) 1) (*.f64 (pow.f64 (log.f64 N) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2) (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 N)) (*.f64 (sqrt.f64 (log.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) 2) 3) (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 N) (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2)) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 N) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2) 1) (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2) (cbrt.f64 (log.f64 N))) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2) (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1/6)) (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (+.f64 (*.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 N) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 N) (-.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 pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))) (sqrt.f64 (log.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2))) (cbrt.f64 (log.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 N (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 N (+.f64 (log.f64 N) (log1p.f64 N))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 N (+.f64 (log.f64 N) (log1p.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 N) (log.f64 N) (pow.f64 (log.f64 N) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1/6) (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))))))

simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

832×	`associate-/r*_binary64`
360×	`associate-r_binary64`
352×	`fma-def_binary64`
296×	`associate-l_binary64`
277×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	6545
1	1238	5924
2	4939	5780

Stop Event

1×	node limit

Counts

97 → 121

Calls

Call 1

Inputs
(*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 1 1/3))
(+.f64 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 1 1/3)) (.f64 N (+.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 17) 1) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 17) 1) 1/9)))))
(+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (log.f64 N)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 16) 1) 1/9))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (-.f64 (.f64 -1/2 (log.f64 N)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 16) 1) 1/9))))) (.f64 1/9 (pow.f64 (.f64 (pow.f64 (log.f64 N) 10) 1) 1/9)))) (.f64 2/9 (pow.f64 (.f64 (pow.f64 (log.f64 N) 16) 1) 1/9))))) (+.f64 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 1 1/3)) (.f64 N (+.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 17) 1) 1/9)) (.f64 2/3 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 17) 1) 1/9))))))
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(.f64 -1 (log.f64 (/.f64 -1 N)))))) 1/3)))) (pow.f64 N 2)) (pow.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 1/3)) (.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (pow.f64 1 1/3)))))))
(pow.f64 (pow.f64 (log.f64 N) 2) 1/3)
(+.f64 (.f64 1/3 (.f64 N (pow.f64 (*.f64 (pow.f64 (log.f64 N) 5) 1) 1/9))) (pow.f64 (pow.f64 (log.f64 N) 2) 1/3))
(+.f64 (.f64 1/3 (.f64 N (pow.f64 (.f64 (pow.f64 (log.f64 N) 5) 1) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 N 2) (-.f64 (.f64 -1/2 (log.f64 N)) (.f64 1/3 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 16) 1) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/3))) (pow.f64 (pow.f64 (log.f64 N) 2) 1/3)))
(+.f64 (.f64 1/3 (.f64 N (pow.f64 (.f64 (pow.f64 (log.f64 N) 5) 1) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 N 3) (-.f64 (.f64 1/3 (log.f64 N)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (-.f64 (.f64 -1/2 (log.f64 N)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 16) 1) 1/9))))) (.f64 1/27 (pow.f64 (.f64 (pow.f64 (log.f64 N) 5) 1) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/3))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 N 2) (-.f64 (.f64 -1/2 (log.f64 N)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 16) 1) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/3))) (pow.f64 (pow.f64 (log.f64 N) 2) 1/3))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/3) (cbrt.f64 2))
(+.f64 (.f64 -1/3 (.f64 (/.f64 1 N) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3)))) (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/3) (cbrt.f64 2)))
(+.f64 (.f64 -1/3 (.f64 (/.f64 1 N) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3)))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 1/2 (log.f64 (/.f64 1 N))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/3))) (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/3) (cbrt.f64 2))))
(+.f64 (.f64 -1/3 (.f64 (/.f64 1 N) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3)))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/3 (log.f64 (/.f64 1 N))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 (.f64 1/2 (log.f64 (/.f64 1 N))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 1/2 (log.f64 (/.f64 1 N))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/3))) (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/3) (cbrt.f64 2)))))
(pow.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (/.f64 1 N) (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 7)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) 1/9))) (pow.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) 1/3))
(+.f64 (.f64 1/3 (.f64 (/.f64 1 N) (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 7)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 17)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/9))) (pow.f64 N 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) 1/3))) (pow.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) 1/3)))
(+.f64 (.f64 1/3 (.f64 (/.f64 1 N) (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 7)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 (.f64 -1/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2/3 (.f64 (-.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 17)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/9))) (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 4)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 5)) 1/9))) (.f64 -1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 7)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) 1/3)))) (pow.f64 N 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 17)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/9))) (pow.f64 N 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) 1/3))) (pow.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) 1/3))))

Outputs
(*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 1 1/3))
(pow.f64 (log.f64 N) 2)
(+.f64 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 1 1/3)) (.f64 N (+.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 17) 1) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 17) 1) 1/9)))))
(+.f64 (pow.f64 (log.f64 N) 2) (.f64 N (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 17) 1/18) (pow.f64 (pow.f64 (log.f64 N) 17) 1/18)) 1)))
(fma.f64 N (*.f64 (pow.f64 (pow.f64 (log.f64 N) 17) 1/18) (pow.f64 (pow.f64 (log.f64 N) 17) 1/18)) (pow.f64 (log.f64 N) 2))
(+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (log.f64 N)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 16) 1) 1/9))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (-.f64 (.f64 -1/2 (log.f64 N)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 16) 1) 1/9))))) (.f64 1/9 (pow.f64 (.f64 (pow.f64 (log.f64 N) 10) 1) 1/9)))) (.f64 2/9 (pow.f64 (.f64 (pow.f64 (log.f64 N) 16) 1) 1/9))))) (+.f64 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 1 1/3)) (.f64 N (+.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (log.f64 N) 17) 1) 1/9)) (.f64 2/3 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 17) 1) 1/9))))))
(fma.f64 (.f64 N N) (+.f64 (.f64 1/3 (+.f64 (.f64 (log.f64 N) -1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (log.f64 N) 16) 1/18) (pow.f64 (pow.f64 (log.f64 N) 16) 1/18))))) (fma.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (fma.f64 2/3 (.f64 (+.f64 (.f64 (log.f64 N) -1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (log.f64 N) 16) 1/18) (pow.f64 (pow.f64 (log.f64 N) 16) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 1/9 (.f64 (pow.f64 (pow.f64 (log.f64 N) 10) 1/18) (pow.f64 (pow.f64 (log.f64 N) 10) 1/18)))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 N) 16) 1/18) (pow.f64 (pow.f64 (log.f64 N) 16) 1/18)) 2/9))) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 N (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 N) 17) 1/18) (pow.f64 (pow.f64 (log.f64 N) 17) 1/18)) 1))))
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(fma.f64 1/3 (/.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) 1/18)) N) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18)))) (.f64 N N)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)))) (cbrt.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))))
(+.f64 (.f64 1/3 (.f64 (/.f64 1 N) (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 7)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 (.f64 -1/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2/3 (.f64 (-.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 17)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/9))) (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 4)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 5)) 1/9))) (.f64 -1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 7)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) 1/3)))) (pow.f64 N 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 17)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/9))) (pow.f64 N 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) 1/3))) (pow.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) 1/3))))
(fma.f64 1/3 (.f64 (/.f64 1 N) (.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) 1/18))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2))) (/.f64 (-.f64 (.f64 -1/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) (fma.f64 -2/3 (.f64 (+.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18) (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18)))) (.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 4) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 4) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 5)) 1/18))) (.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))))) (pow.f64 N 3))) (fma.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18) (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18)))) (.f64 N N)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)))) (cbrt.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))))
(+.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (+.f64 (/.f64 (.f64 -1/3 (-.f64 (.f64 -1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (fma.f64 -2/3 (.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18)))) (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 4) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 4) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 5)) 1/18))) (.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2))))))) (pow.f64 N 3)) (.f64 1/3 (/.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18)))) (.f64 N N))))) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) 1/18)) N) (cbrt.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (*.f64 2 (log.f64 -1))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))))
(+.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (+.f64 (.f64 1/3 (/.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18)))) (.f64 N N))) (/.f64 (.f64 -1/3 (-.f64 (fma.f64 -1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2))))) (.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 17) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 4) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 4) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 5)) 1/18)) -2/3)))) (pow.f64 N 3)))) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 7) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) 1/18)) N) (cbrt.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (*.f64 2 (log.f64 -1))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))))

eval715.0ms (9.2%)

Compiler: Compiled 26517 to 16223 computations (38.8% saved)

prune146.0ms (1.9%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	798	4	802
Fresh	0	3	3
Picked	0	1	1
Done	5	8	13
Total	803	16	819

Error

0.0b

Counts

819 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.4b	(/.f64 1 N)
✓	30.1b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3))))
	29.3b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
✓	31.5b	(neg.f64 (log.f64 N))
✓	29.2b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
✓	32.3b	(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4))))
✓	29.0b	(log.f64 (/.f64 (+.f64 N 1) N))
	32.3b	(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N))))
	61.4b	0
	61.1b	N
	28.9b	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1)))
	32.1b	(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))
	61.4b	(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
✓	32.6b	(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
✓	30.7b	(-.f64 N (log.f64 N))
✓	32.6b	(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)

Compiler

Compiled 202 to 142 computations (29.7% saved)

regimes156.0ms (2%)

Counts

30 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 3))
(+.f64 (log.f64 (/.f64 (+.f64 N 1) N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3)))

Outputs
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4))))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1)))

Calls

3 calls:

96.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
33.0ms	N
11.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.0b	2	`N`
0.0b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
0.0b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 399 to 216 computations (45.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00015265214246795722	0.0011003313456843244

Compiler

Compiled 12 to 9 computations (25% saved)

regimes78.0ms (1%)

Counts

18 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Outputs
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N))))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1)))

Calls

3 calls:

51.0ms	N
10.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.0b	2	`N`
0.0b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
0.0b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 161 to 107 computations (33.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00015265214246795722	0.0011003313456843244

Compiler

Compiled 12 to 9 computations (25% saved)

regimes67.0ms (0.9%)

Counts

15 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))

Outputs
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1)))
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))

Calls

1 calls:

64.0ms

Results

Error	Segments	Branch
0.1b	2	`N`

Compiler

Compiled 112 to 74 computations (33.9% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	6550.341578586145	27206.563197562966

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))

Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.1b	2	`N`

Compiler

Compiled 74 to 47 computations (36.5% saved)

bsearch41.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
41.0ms	6550.341578586145	27206.563197562966

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 N (log.f64 N))

Outputs
(-.f64 N (log.f64 N))
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.5b	2	`N`

Compiler

Compiled 68 to 43 computations (36.8% saved)

bsearch40.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
40.0ms	0.048334303283473976	99.53599858636886

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))
(neg.f64 (log.f64 N))

Outputs
(neg.f64 (log.f64 N))
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.8b	2	`N`

Compiler

Compiled 60 to 42 computations (30% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.048334303283473976	99.53599858636886

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N))

Outputs
(/.f64 1 N)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
31.4b	1	`N`

Compiler

Compiled 57 to 40 computations (29.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.9b remaining (-1.5%)

Threshold costs -0.9b (-1.5%)

Counts

2 → 1

Calls

Call 1

Inputs
0
N

Outputs
N

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
61.1b	1	`N`

Compiler

Compiled 5 to 3 computations (40% saved)

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
8×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	253
1	78	253
2	94	253
3	101	253
4	103	253

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4)))) (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N)))) (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1))))
(if (<=.f64 N 3601088365780033/549755813888) (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1))) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))
(if (<=.f64 N 3601088365780033/549755813888) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))
(if (<=.f64 N 3482853604106655/72057594037927936) (-.f64 N (log.f64 N)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))
(if (<=.f64 N 3482853604106655/72057594037927936) (neg.f64 (log.f64 N)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))
(/.f64 1 N)
N
0

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4)))) (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (+.f64 (/.f64 1 N) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/4 (pow.f64 N 4)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N)))) (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))) (.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 3601088365780033/549755813888) (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N 1)) 1))) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))
(if (<=.f64 N 3601088365780033/549755813888) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))))
(if (<=.f64 N 3601088365780033/549755813888) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))
(if (<=.f64 N 3601088365780033/549755813888) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))))
(if (<=.f64 N 3482853604106655/72057594037927936) (-.f64 N (log.f64 N)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))
(if (<=.f64 N 3482853604106655/72057594037927936) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))))
(if (<=.f64 N 3482853604106655/72057594037927936) (neg.f64 (log.f64 N)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (/.f64 1 N)))
(if (<=.f64 N 3482853604106655/72057594037927936) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))))
(/.f64 1 N)
N
0

Compiler

Compiled 178 to 131 computations (26.4% saved)

soundness132.0ms (1.7%)

Algorithm

3×	egg-herbie

Rules

643×	`distribute-rgt-in_binary64`
625×	`fma-neg_binary64`
617×	`distribute-lft-in_binary64`
506×	`fma-def_binary64`
319×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	8
2	17	8
3	24	8
4	33	8
5	50	8
6	87	8
7	123	8
8	170	8
9	206	8
10	232	8
11	234	8
0	83	536
1	257	526
2	813	499
3	3585	481
0	7	11
1	12	8
2	17	8
3	24	8
4	33	8
5	50	8
6	87	8
7	123	8
8	170	8
9	206	8
10	232	8
11	234	8

Stop Event

1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 416 to 344 computations (17.3% saved)

end214.0ms (2.7%)

Compiler: Compiled 170 to 115 computations (32.4% saved)