Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	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)

sample1.6s (48.4%)

Results

647.0ms	2028×	body	1024	valid
632.0ms	4921×	body	256	valid
199.0ms	1030×	body	512	valid
135.0ms	277×	body	2048	valid

Bogosity

preprocess22.0ms (0.7%)

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)

simplify10.0ms (0.3%)

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))

eval0.0ms (0%)

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

prune1.0ms (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

30.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.3b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (1.2%)

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	8
1	106	8
2	1453	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (log1p.f64 N) (log.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 log1p.f64 (expm1.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 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)))))))

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 log1p.f64 (expm1.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 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)))))))

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-neg_binary64`
837×	`div-sub_binary64`
466×	`fma-def_binary64`
398×	`associate-l_binary64`
368×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	727
1	337	683
2	1111	680
3	5433	678

Stop Event

1×	node limit

Counts

47 → 65

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

eval14.0ms (0.4%)

Compiler: Compiled 846 to 391 computations (53.8% saved)

prune14.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	8	66

Error

0.0b

Counts

66 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
▶	30.1b	(/.f64 1 N)
▶	31.3b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	30.3b	(-.f64 (log1p.f64 N) (log.f64 N))
▶	31.6b	(-.f64 N (log.f64 N))
▶	32.6b	(neg.f64 (log.f64 N))
▶	30.2b	(log.f64 (/.f64 (+.f64 N 1) N))
	30.8b	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))

Compiler

Compiled 100 to 72 computations (28% saved)

localize2.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	0.6b	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

983×	`pow1_binary64`
925×	`add-log-exp_binary64`
924×	`log1p-expm1-u_binary64`
924×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	184	17
2	2653	17

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

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

Outputs

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

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

simplify47.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
272×	`fma-neg_binary64`
264×	`div-sub_binary64`
231×	`cancel-sign-sub-inv_binary64`
229×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	1337
1	569	1148
2	2172	1110

Stop Event

1×	node limit

Counts

96 → 93

Calls

Call 1

Inputs
(/.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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1/2 (pow.f64 N -2))
(.f64 (.f64 1/2 (pow.f64 N -2)) 1)
(.f64 1 (.f64 1/2 (pow.f64 N -2)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(.f64 -1/2 (/.f64 1 (.f64 N (neg.f64 N))))
(*.f64 (pow.f64 N -2) 1/2)
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)) 1/3)
(pow.f64 (.f64 (.f64 N N) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (/.f64 1 N) (.f64 (.f64 -1/2 (pow.f64 N -2)) 1))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (fma.f64 (.f64 -1/2 (pow.f64 N -2)) 1 (.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(*.f64 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(.f64 (.f64 N (-.f64 N 1/2)) (pow.f64 N -3))
(.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (.f64 N N) 3))) (/.f64 1 (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3)))))
(.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3))) (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N)) (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3))) (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N)))
(/.f64 (neg.f64 (*.f64 N (-.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3)))) (neg.f64 (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))))
(/.f64 (-.f64 (.f64 N (neg.f64 N)) (.f64 (neg.f64 N) 1/2)) (.f64 (neg.f64 N) (.f64 N N)))
(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
(/.f64 (-.f64 (.f64 -1 (.f64 (.f64 N N) 2)) (.f64 (neg.f64 N) 1)) (.f64 (neg.f64 N) (.f64 (*.f64 N N) 2)))
(/.f64 (-.f64 (.f64 N (neg.f64 N)) (.f64 N -1/2)) (.f64 N (.f64 N (neg.f64 N))))
(/.f64 (-.f64 (.f64 -1 (.f64 N (neg.f64 N))) (.f64 (neg.f64 N) -1/2)) (.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(/.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (.f64 N N))
(/.f64 (-.f64 (neg.f64 N) (.f64 (neg.f64 N) (/.f64 1/2 N))) (.f64 N (neg.f64 N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (.f64 -1/2 (pow.f64 N -2)) 3)) (+.f64 (pow.f64 N -2) (-.f64 (.f64 (.f64 -1/2 (pow.f64 N -2)) (.f64 -1/2 (pow.f64 N -2))) (.f64 (/.f64 1 N) (.f64 -1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 N -2) (.f64 (.f64 -1/2 (pow.f64 N -2)) (.f64 -1/2 (pow.f64 N -2)))) (-.f64 (/.f64 1 N) (.f64 -1/2 (pow.f64 N -2))))
(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2)))

Outputs
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(*.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 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (*.f64 N N))
(.f64 (.f64 1/2 (pow.f64 N -2)) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 1 (.f64 1/2 (pow.f64 N -2)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(.f64 (cbrt.f64 (/.f64 1/2 (.f64 N N))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (.f64 1/2 (pow.f64 N -2))))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(.f64 (cbrt.f64 (/.f64 1/2 (.f64 N N))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 -1/2 (/.f64 1 (.f64 N (neg.f64 N))))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (pow.f64 N -2) 1/2)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
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(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 N)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))

localize4.0ms (0.1%)

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

localize4.0ms (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)

series9.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	(-.f64 N (log.f64 N))
4.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite37.0ms (1.1%)

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 log1p.f64 (expm1.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 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)))))))

simplify43.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

883×	`div-sub_binary64`
786×	`fma-neg_binary64`
418×	`associate-l_binary64`
379×	`associate-r_binary64`
345×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	437
1	275	410
2	944	410
3	5314	410

Stop Event

1×	node limit

Counts

47 → 46

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 N 1) N)
✓	3.3b	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (1.4%)

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 log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))))

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

simplify50.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-def_binary64`
429×	`fma-neg_binary64`
345×	`unswap-sqr_binary64`
278×	`distribute-rgt-in_binary64`
274×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	822
1	415	796
2	1500	793
3	6812	733

Stop Event

1×	node limit

Counts

84 → 99

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

eval74.0ms (2.2%)

Compiler: Compiled 2962 to 1830 computations (38.2% saved)

prune31.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	234	4	238
Fresh	2	0	2
Picked	1	0	1
Done	3	2	5
Total	240	6	246

Error

Counts

246 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.8b	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
▶	31.3b	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	30.1b	(/.f64 1 N)
✓	32.6b	(neg.f64 (log.f64 N))
▶	0.0b	(log1p.f64 (/.f64 1 N))
	61.1b	N

Compiler

Compiled 39 to 26 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 10 to 7 computations (30% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(log1p.f64 (/.f64 1 N))
0.0ms	N	@	-inf	(log1p.f64 (/.f64 1 N))
0.0ms	N	@	0	(log1p.f64 (/.f64 1 N))

rewrite36.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`pow1_binary64`
383×	`add-sqr-sqrt_binary64`
375×	`*-un-lft-identity_binary64`
366×	`add-log-exp_binary64`
366×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	96	6
2	1059	6

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))

Outputs

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

simplify54.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

769×	`log-prod_binary64`
377×	`associate-l_binary64`
313×	`associate-r_binary64`
283×	`associate-+l+_binary64`
276×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	466
1	262	445
2	742	433
3	3644	407
4	7886	407

Stop Event

1×	node limit

Counts

39 → 69

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 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N)))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.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 (.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 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 -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 -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))
(fma.f64 -1/2 (pow.f64 N -2) (/.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 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 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N -2) (/.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))
(fma.f64 -1/2 (pow.f64 N -2) (/.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 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 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 2 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N)))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 -1 N))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(log1p.f64 (/.f64 1 N))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) 1/3))
(log1p.f64 (/.f64 1 N))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3))
(log1p.f64 (/.f64 1 N))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 1 (/.f64 1/2 N)) 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 1 (/.f64 1/2 N)) N)
1.0ms	N	@	0	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
0.0ms	N	@	inf	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

867×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
800×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	2116	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

501×	`associate-r_binary64`
300×	`fma-neg_binary64`
211×	`associate-/l*_binary64`
208×	`exp-prod_binary64`
205×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	582
1	239	460
2	784	460
3	4357	460

Stop Event

1×	node limit

Counts

45 → 43

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

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

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 N N) 2)
✓	0.0b	(-.f64 (.f64 (.f64 N N) 2) N)
✓	0.1b	(.f64 N (.f64 (*.f64 N N) 2))
✓	26.0b	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))

Compiler

Compiled 40 to 18 computations (55% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
1.0ms	N	@	inf	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
0.0ms	N	@	-inf	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
0.0ms	N	@	inf	(.f64 N (.f64 (*.f64 N N) 2))
0.0ms	N	@	-inf	(.f64 N (.f64 (*.f64 N N) 2))

rewrite100.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
388×	`fma-def_binary64`
313×	`pow-prod-down_binary64`
244×	`pow2_binary64`
218×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	49
1	187	43
2	2985	37

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (neg.f64 (/.f64 (pow.f64 N -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 N (.f64 N 2)) N) (/.f64 (pow.f64 N -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N N) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 N (.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 N (.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 N 4) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 N (.f64 N 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 N (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 N 6) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 N 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 N (.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 N 6) 8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 N (.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 N (.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 N) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 N) (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 N (.f64 N 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 N (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 N 6) 8)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 N) (log.f64 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 N) (log.f64 2)) 3) 1/3))))))

simplify97.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

556×	`fma-neg_binary64`
465×	`times-frac_binary64`
338×	`log-prod_binary64`
296×	`associate-/r*_binary64`
252×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	531	4678
1	1324	4035
2	5633	3972

Stop Event

1×	node limit

Counts

294 → 365

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))))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 -1 N)
(+.f64 (.f64 2 (pow.f64 N 2)) (.f64 -1 N))
(+.f64 (.f64 2 (pow.f64 N 2)) (.f64 -1 N))
(+.f64 (.f64 2 (pow.f64 N 2)) (.f64 -1 N))
(*.f64 2 (pow.f64 N 2))
(+.f64 (.f64 2 (pow.f64 N 2)) (.f64 -1 N))
(+.f64 (.f64 2 (pow.f64 N 2)) (.f64 -1 N))
(+.f64 (.f64 2 (pow.f64 N 2)) (.f64 -1 N))
(*.f64 2 (pow.f64 N 2))
(+.f64 (.f64 2 (pow.f64 N 2)) (.f64 -1 N))
(+.f64 (.f64 2 (pow.f64 N 2)) (.f64 -1 N))
(+.f64 (.f64 2 (pow.f64 N 2)) (.f64 -1 N))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(*.f64 2 (pow.f64 N 2))
(+.f64 (/.f64 1 N) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(+.f64 0 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))))
(-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))) 1)
(.f64 (-.f64 (.f64 N (*.f64 N 2)) N) (/.f64 (pow.f64 N -3) 2))
(*.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)) 1)
(*.f64 1 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (/.f64 (pow.f64 N -3) 2)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) (sqrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))
(.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (/.f64 (pow.f64 N -3) 2)))
(.f64 (neg.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (/.f64 1 (.f64 (pow.f64 N 3) -2)))
(.f64 (/.f64 1 N) (/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (*.f64 N 2))))
(.f64 (/.f64 (pow.f64 N -2) 2) (-.f64 (/.f64 (.f64 N (*.f64 N 2)) N) 1))
(.f64 (/.f64 (pow.f64 N -3) 2) (-.f64 (.f64 N (*.f64 N 2)) N))
(.f64 (-.f64 (/.f64 (.f64 N (*.f64 N 2)) N) 1) (/.f64 (pow.f64 N -2) 2))
(.f64 (pow.f64 (.f64 N (cbrt.f64 2)) -2) (/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (*.f64 N (cbrt.f64 2))))
(.f64 (pow.f64 (.f64 2 (pow.f64 N 3)) -1/2) (/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (*.f64 (pow.f64 N 3/2) (sqrt.f64 2))))
(.f64 (pow.f64 N -3) (/.f64 (-.f64 (.f64 N (*.f64 N 2)) N) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) N) (/.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (.f64 N (*.f64 N 2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) N) (/.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (.f64 N (*.f64 N 2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (.f64 N (.f64 N 2))) (/.f64 (sqrt.f64 (-.f64 (.f64 N (*.f64 N 2)) N)) N))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (.f64 N (.f64 N 2))) (/.f64 (cbrt.f64 (-.f64 (.f64 N (*.f64 N 2)) N)) N))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (.f64 2 (pow.f64 N 3))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 1) (/.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (.f64 2 (pow.f64 N 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (pow.f64 (.f64 N (cbrt.f64 2)) 2)) (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (pow.f64 (.f64 N (cbrt.f64 2)) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (*.f64 N (cbrt.f64 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (/.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (*.f64 (pow.f64 N 3/2) (sqrt.f64 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (pow.f64 N 3)) (/.f64 (cbrt.f64 (-.f64 (.f64 N (*.f64 N 2)) N)) 2))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (pow.f64 N 3)) (/.f64 (sqrt.f64 (-.f64 (.f64 N (*.f64 N 2)) N)) 2))
(pow.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)) 1)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) 2)
(pow.f64 (/.f64 1 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 N (.f64 N 2)) N) 3) (pow.f64 (*.f64 N (cbrt.f64 2)) 9)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) 1) -1)
(neg.f64 (/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (*.f64 (pow.f64 N 3) -2)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 N (.f64 N 2)) N) 3) (pow.f64 (*.f64 N (cbrt.f64 2)) 9)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (/.f64 1 N) (/.f64 (pow.f64 N -2) 2))) 1) 1))
(fma.f64 N (/.f64 2 (.f64 N (.f64 N 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 2 (/.f64 (.f64 N N) (.f64 2 (pow.f64 N 3))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (.f64 N (.f64 N 2)) (/.f64 (pow.f64 N -3) 2) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 1 (/.f64 1 N) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 1 (/.f64 (.f64 N 2) (.f64 N (*.f64 N 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 1 N) 1 (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (pow.f64 N -2) 2) (/.f64 (.f64 N (.f64 N 2)) N) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 N)) 2) (cbrt.f64 (/.f64 1 N)) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 N (.f64 N (.f64 N 2))) (/.f64 (*.f64 N 2) N) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (pow.f64 (.f64 N (cbrt.f64 2)) -2) (/.f64 (.f64 N (.f64 N 2)) (.f64 N (cbrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (pow.f64 (.f64 2 (pow.f64 N 3)) -1/2) (/.f64 (.f64 N (.f64 N 2)) (.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 N (.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (/.f64 (.f64 N 2) (*.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (pow.f64 N -3) (/.f64 (.f64 N (.f64 N 2)) 2) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 N 1) (/.f64 (.f64 N 2) (.f64 2 (pow.f64 N 3))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 2 (.f64 N (.f64 N 2))) N (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 2 N) (/.f64 (.f64 N N) (.f64 N (*.f64 N 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (.f64 N N) (.f64 N (*.f64 N 2))) (/.f64 2 N) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 N 4) 4)) N) (pow.f64 (cbrt.f64 (.f64 N (*.f64 N 2))) -2) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (.f64 N (sqrt.f64 2)) N) (pow.f64 (.f64 N (sqrt.f64 2)) -1) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (pow.f64 (.f64 N (sqrt.f64 2)) -1) (/.f64 (.f64 N (sqrt.f64 2)) N) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 N (.f64 N 2))) -1) (/.f64 (cbrt.f64 (.f64 N (.f64 N 2))) N) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (.f64 N N) 1) (/.f64 2 (.f64 2 (pow.f64 N 3))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 N 4) 4)) 1) (/.f64 (cbrt.f64 (.f64 N (.f64 N 2))) (.f64 2 (pow.f64 N 3))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (.f64 N (sqrt.f64 2)) 1) (/.f64 (.f64 N (sqrt.f64 2)) (*.f64 2 (pow.f64 N 3))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 N (pow.f64 (.f64 N (cbrt.f64 2)) 2)) (/.f64 (.f64 N 2) (*.f64 N (cbrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (.f64 N N) (pow.f64 (.f64 N (cbrt.f64 2)) 2)) (/.f64 2 (*.f64 N (cbrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 2 (pow.f64 (.f64 N (cbrt.f64 2)) 2)) (/.f64 (.f64 N N) (*.f64 N (cbrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 N 4) 4)) (pow.f64 (.f64 N (cbrt.f64 2)) 2)) (/.f64 (cbrt.f64 (.f64 N (.f64 N 2))) (*.f64 N (cbrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (.f64 N (sqrt.f64 2)) (pow.f64 (.f64 N (cbrt.f64 2)) 2)) (/.f64 (.f64 N (sqrt.f64 2)) (.f64 N (cbrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (.f64 N N) (.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (/.f64 2 (*.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 2 (.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (/.f64 (.f64 N N) (*.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 N 4) 4)) (.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (/.f64 (cbrt.f64 (.f64 N (.f64 N 2))) (*.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (.f64 N (sqrt.f64 2)) (.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (/.f64 (.f64 N (sqrt.f64 2)) (.f64 (pow.f64 N 3/2) (sqrt.f64 2))) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (pow.f64 N -2) (/.f64 (*.f64 N 2) 2) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 2 (pow.f64 N 3)) (/.f64 (*.f64 N N) 2) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 N 4) 4)) (pow.f64 N 3)) (/.f64 (cbrt.f64 (.f64 N (*.f64 N 2))) 2) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(fma.f64 (/.f64 (.f64 N (sqrt.f64 2)) (pow.f64 N 3)) (/.f64 (.f64 N (sqrt.f64 2)) 2) (neg.f64 (/.f64 (pow.f64 N -2) 2)))
(+.f64 (pow.f64 N 3) (pow.f64 N 3))
(+.f64 0 (*.f64 2 (pow.f64 N 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 N 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 N 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 N 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 N 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 N 3)))) 1)
(pow.f64 (*.f64 2 (pow.f64 N 3)) 1)
(pow.f64 (*.f64 (pow.f64 N 6) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 N (cbrt.f64 2)) 9) 1/3)
(pow.f64 (*.f64 N (cbrt.f64 2)) 3)
(pow.f64 (*.f64 (pow.f64 N 3/2) (sqrt.f64 2)) 2)
(sqrt.f64 (*.f64 (pow.f64 N 6) 4))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 N 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 N 3)))))
(cbrt.f64 (pow.f64 (*.f64 N (cbrt.f64 2)) 9))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 N 3))))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 N 3))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 N 3))))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 N 3))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 N (cbrt.f64 2)) 9)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 N (cbrt.f64 2))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 N 3/2) (sqrt.f64 2))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (pow.f64 N 3))) 1) 1))
(+.f64 (.f64 N (.f64 N 2)) (neg.f64 N))
(+.f64 (.f64 N (.f64 N 2)) (*.f64 (neg.f64 N) 1))
(+.f64 (-.f64 (.f64 N (.f64 N 2)) N) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (.f64 N (.f64 N 2)) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (.f64 N (.f64 N 2)) N) (+.f64 (neg.f64 N) N))
(+.f64 (neg.f64 N) (.f64 N (.f64 N 2)))
(+.f64 0 (-.f64 (.f64 N (.f64 N 2)) N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (-.f64 (.f64 N 2) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (-.f64 (.f64 N 2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (-.f64 (.f64 N 2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (-.f64 (.f64 N 2) 1)))))
(.f64 (-.f64 (.f64 N (*.f64 N 2)) N) 1)
(.f64 1 (-.f64 (.f64 N (*.f64 N 2)) N))
(.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (pow.f64 (cbrt.f64 (-.f64 (.f64 N (*.f64 N 2)) N)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (cbrt.f64 (-.f64 (.f64 N (*.f64 N 2)) N)))
(.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (sqrt.f64 (-.f64 (.f64 N (*.f64 N 2)) N)))
(.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (.f64 (pow.f64 N 4) 4))))
(.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (.f64 N N)) (/.f64 1 (fma.f64 N (.f64 N 2) N)))
(*.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))))
(/.f64 1 (/.f64 (fma.f64 N (fma.f64 N (.f64 N 2) N) (.f64 (pow.f64 N 4) 4)) (-.f64 (*.f64 (pow.f64 N 6) 8) (pow.f64 N 3))))
(/.f64 1 (/.f64 (fma.f64 N (.f64 N 2) N) (-.f64 (.f64 (pow.f64 N 4) 4) (*.f64 N N))))
(/.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 (pow.f64 N 4) 4)))
(/.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (.f64 N N)) (fma.f64 N (*.f64 N 2) N))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3))) (neg.f64 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 (pow.f64 N 4) 4))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (.f64 N N))) (neg.f64 (fma.f64 N (*.f64 N 2) N)))
(/.f64 (fma.f64 (pow.f64 N 6) 8 (pow.f64 (neg.f64 N) 3)) (fma.f64 (pow.f64 N 4) 4 (-.f64 (pow.f64 (neg.f64 N) 2) (*.f64 (pow.f64 N 3) -2))))
(/.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (pow.f64 (neg.f64 N) 2)) (-.f64 (.f64 N (*.f64 N 2)) (neg.f64 N)))
(pow.f64 (-.f64 (.f64 N (.f64 N 2)) N) 1)
(pow.f64 (pow.f64 (-.f64 (.f64 N (.f64 N 2)) N) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (.f64 N (.f64 N 2)) N) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2)
(pow.f64 (/.f64 (fma.f64 N (fma.f64 N (.f64 N 2) N) (.f64 (pow.f64 N 4) 4)) (-.f64 (*.f64 (pow.f64 N 6) 8) (pow.f64 N 3))) -1)
(pow.f64 (/.f64 (fma.f64 N (.f64 N 2) N) (-.f64 (.f64 (pow.f64 N 4) 4) (*.f64 N N))) -1)
(sqrt.f64 (pow.f64 (-.f64 (.f64 N (.f64 N 2)) N) 2))
(log.f64 (pow.f64 (exp.f64 N) (-.f64 (*.f64 N 2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 N (.f64 N 2)) N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 N (.f64 N 2)))) (exp.f64 N)))
(log.f64 (/.f64 (pow.f64 (exp.f64 N) (*.f64 N 2)) (+.f64 1 (expm1.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 N (.f64 N 2)))) (+.f64 1 (expm1.f64 N))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 N (*.f64 N 2)))) (exp.f64 (neg.f64 N))))
(log.f64 (.f64 (exp.f64 (neg.f64 N)) (+.f64 1 (expm1.f64 (.f64 N (*.f64 N 2))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 N (.f64 N 2)) N) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 N (.f64 N 2)) N)))
(log1p.f64 (expm1.f64 (-.f64 (.f64 N (.f64 N 2)) N)))
(exp.f64 (log.f64 (-.f64 (.f64 N (.f64 N 2)) N)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 N (*.f64 N 2)) N)) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 N (*.f64 N 2)) N) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 N (*.f64 N 2)) N))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 N (*.f64 N 2)) N))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 1) 1))
(fma.f64 N (*.f64 N 2) (neg.f64 N))
(fma.f64 N (.f64 N 2) (.f64 (neg.f64 N) 1))
(fma.f64 (*.f64 N N) 2 (neg.f64 N))
(fma.f64 (.f64 N N) 2 (.f64 (neg.f64 N) 1))
(fma.f64 2 (*.f64 N N) (neg.f64 N))
(fma.f64 2 (.f64 N N) (.f64 (neg.f64 N) 1))
(fma.f64 (.f64 N (.f64 N 2)) 1 (neg.f64 N))
(fma.f64 (.f64 N (.f64 N 2)) 1 (*.f64 (neg.f64 N) 1))
(fma.f64 (-.f64 (.f64 N (.f64 N 2)) N) 1 (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (.f64 N (.f64 N 2)) N) 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (-.f64 (.f64 N (.f64 N 2)) N) 1 (+.f64 (neg.f64 N) N))
(fma.f64 1 (.f64 N (.f64 N 2)) (neg.f64 N))
(fma.f64 1 (.f64 N (.f64 N 2)) (*.f64 (neg.f64 N) 1))
(fma.f64 1 (-.f64 (.f64 N (.f64 N 2)) N) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 1 (-.f64 (.f64 N (.f64 N 2)) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 1 (-.f64 (.f64 N (.f64 N 2)) N) (+.f64 (neg.f64 N) N))
(fma.f64 1 (neg.f64 N) (.f64 N (.f64 N 2)))
(fma.f64 (cbrt.f64 (.f64 N (.f64 N 2))) (cbrt.f64 (*.f64 (pow.f64 N 4) 4)) (neg.f64 N))
(fma.f64 (cbrt.f64 (.f64 N (.f64 N 2))) (cbrt.f64 (.f64 (pow.f64 N 4) 4)) (.f64 (neg.f64 N) 1))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 N 4) 4)) (cbrt.f64 (.f64 N (*.f64 N 2))) (neg.f64 N))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 N 4) 4)) (cbrt.f64 (.f64 N (.f64 N 2))) (.f64 (neg.f64 N) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (neg.f64 (cbrt.f64 N)) (.f64 N (.f64 N 2)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 (cbrt.f64 N) (.f64 N 2)) (neg.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 (cbrt.f64 N) (.f64 N 2)) (*.f64 (neg.f64 N) 1))
(fma.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (+.f64 (neg.f64 N) N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (+.f64 (neg.f64 N) N))
(fma.f64 (.f64 (cbrt.f64 N) N) (.f64 (pow.f64 (cbrt.f64 N) 2) 2) (neg.f64 N))
(fma.f64 (.f64 (cbrt.f64 N) N) (.f64 (pow.f64 (cbrt.f64 N) 2) 2) (*.f64 (neg.f64 N) 1))
(fma.f64 (.f64 N (sqrt.f64 2)) (.f64 N (sqrt.f64 2)) (neg.f64 N))
(fma.f64 (.f64 N (sqrt.f64 2)) (.f64 N (sqrt.f64 2)) (*.f64 (neg.f64 N) 1))
(fma.f64 (sqrt.f64 N) (neg.f64 (sqrt.f64 N)) (.f64 N (.f64 N 2)))
(fma.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (.f64 N 2)) (neg.f64 N))
(fma.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (.f64 N 2)) (*.f64 (neg.f64 N) 1))
(fma.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (+.f64 (neg.f64 N) N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 (pow.f64 N 4) 4))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 (pow.f64 N 4) 4))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 (pow.f64 N 4) 4))) (+.f64 (neg.f64 N) N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (.f64 N N)) (/.f64 1 (fma.f64 N (*.f64 N 2) N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (.f64 N N)) (/.f64 1 (fma.f64 N (*.f64 N 2) N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (.f64 N N)) (/.f64 1 (fma.f64 N (*.f64 N 2) N)) (+.f64 (neg.f64 N) N))
(fma.f64 (*.f64 N 2) N (neg.f64 N))
(fma.f64 (.f64 N 2) N (.f64 (neg.f64 N) 1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 N)) 2) (cbrt.f64 (neg.f64 N)) (.f64 N (.f64 N 2)))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) (.f64 N (.f64 N 2)))
(fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) (.f64 N (.f64 N 2)))
(fma.f64 -1 N (.f64 N (.f64 N 2)))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (+.f64 (neg.f64 N) N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (.f64 N (.f64 N 2)))
(fma.f64 (.f64 2 (.f64 (cbrt.f64 N) N)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 N))
(fma.f64 (.f64 2 (.f64 (cbrt.f64 N) N)) (pow.f64 (cbrt.f64 N) 2) (*.f64 (neg.f64 N) 1))
(+.f64 (.f64 N N) (.f64 N N))
(+.f64 0 (.f64 N (.f64 N 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N 2)))) 1)
(pow.f64 (.f64 N (.f64 N 2)) 1)
(pow.f64 (*.f64 (pow.f64 N 4) 4) 1/2)
(pow.f64 (cbrt.f64 (.f64 N (.f64 N 2))) 3)
(pow.f64 (*.f64 N (sqrt.f64 2)) 2)
(pow.f64 (*.f64 (pow.f64 N 6) 8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 N 4) 4))
(log.f64 (pow.f64 (exp.f64 N) (*.f64 N 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 N (.f64 N 2)))))
(cbrt.f64 (*.f64 (pow.f64 N 6) 8))
(expm1.f64 (log1p.f64 (.f64 N (.f64 N 2))))
(log1p.f64 (expm1.f64 (.f64 N (.f64 N 2))))
(exp.f64 (fma.f64 2 (log.f64 N) (log.f64 2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 N) (log.f64 2)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 N (*.f64 N 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 N (sqrt.f64 2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 N 6) 8)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 N) (log.f64 2)) 1) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 N) (log.f64 2)) 3) 1/3))

Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(*.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 N N)))
(+.f64 (/.f64 1 N) (*.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 N N)))
(+.f64 (/.f64 1 N) (*.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 N N)))
(+.f64 (/.f64 1 N) (*.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 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (*.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 N N)))
(+.f64 (/.f64 1 N) (*.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 N N)))
(+.f64 (/.f64 1 N) (*.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 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (*.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 N N)))
(+.f64 (/.f64 1 N) (*.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 N N)))
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(+.f64 (*.f64 N (fma.f64 N 2 -1)) (-.f64 N N))
(fma.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N (+.f64 N N)) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (+.f64 N (neg.f64 (pow.f64 (cbrt.f64 N) 3))))
(fma.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (+.f64 (neg.f64 N) N))
(+.f64 (-.f64 (*.f64 N (+.f64 N N)) N) (+.f64 N (neg.f64 N)))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (-.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (*.f64 N (+.f64 N N)) N) (+.f64 N (neg.f64 N)))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (-.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N (+.f64 N N)) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (+.f64 N (neg.f64 (pow.f64 (cbrt.f64 N) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) 2) (cbrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (+.f64 (neg.f64 N) N))
(+.f64 (-.f64 (*.f64 N (+.f64 N N)) N) (+.f64 N (neg.f64 N)))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (-.f64 N N))
(fma.f64 (.f64 (cbrt.f64 N) N) (.f64 (pow.f64 (cbrt.f64 N) 2) 2) (neg.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 2 (.f64 N (cbrt.f64 N))) (neg.f64 N))
(-.f64 (.f64 (+.f64 N N) (.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2))) N)
(-.f64 (*.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 3)) N)
(fma.f64 (.f64 (cbrt.f64 N) N) (.f64 (pow.f64 (cbrt.f64 N) 2) 2) (*.f64 (neg.f64 N) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 2 (.f64 N (cbrt.f64 N))) (neg.f64 N))
(-.f64 (.f64 (+.f64 N N) (.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2))) N)
(-.f64 (*.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 3)) N)
(fma.f64 (.f64 N (sqrt.f64 2)) (.f64 N (sqrt.f64 2)) (neg.f64 N))
(+.f64 (pow.f64 (*.f64 N (sqrt.f64 2)) 2) (neg.f64 N))
(-.f64 (pow.f64 (*.f64 N (sqrt.f64 2)) 2) N)
(fma.f64 (.f64 N (sqrt.f64 2)) (.f64 N (sqrt.f64 2)) (*.f64 (neg.f64 N) 1))
(+.f64 (pow.f64 (*.f64 N (sqrt.f64 2)) 2) (neg.f64 N))
(-.f64 (pow.f64 (*.f64 N (sqrt.f64 2)) 2) N)
(fma.f64 (sqrt.f64 N) (neg.f64 (sqrt.f64 N)) (.f64 N (.f64 N 2)))
(-.f64 (*.f64 N (+.f64 N N)) N)
(*.f64 N (fma.f64 N 2 -1))
(fma.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (.f64 N 2)) (neg.f64 N))
(-.f64 (*.f64 N (+.f64 N N)) N)
(*.f64 N (fma.f64 N 2 -1))
(fma.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (.f64 N 2)) (*.f64 (neg.f64 N) 1))
(-.f64 (*.f64 N (+.f64 N N)) N)
(*.f64 N (fma.f64 N 2 -1))
(fma.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (*.f64 N (+.f64 N N)) N) (+.f64 N (neg.f64 N)))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (-.f64 N N))
(fma.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N (+.f64 N N)) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (+.f64 N (neg.f64 (pow.f64 (cbrt.f64 N) 3))))
(fma.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (sqrt.f64 (-.f64 (.f64 N (.f64 N 2)) N)) (+.f64 (neg.f64 N) N))
(+.f64 (-.f64 (*.f64 N (+.f64 N N)) N) (+.f64 N (neg.f64 N)))
(+.f64 (*.f64 N (fma.f64 N 2 -1)) (-.f64 N N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 (pow.f64 N 4) 4))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 4 (pow.f64 N 4)))) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (fma.f64 (pow.f64 N 6) 8 (pow.f64 (neg.f64 N) 3)) (fma.f64 4 (pow.f64 N 4) (*.f64 N (fma.f64 N (+.f64 N N) N)))))
(+.f64 (-.f64 N N) (/.f64 (fma.f64 (pow.f64 N 6) 8 (pow.f64 (neg.f64 N) 3)) (fma.f64 4 (pow.f64 N 4) (.f64 N (.f64 N (fma.f64 N 2 1))))))
(fma.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 (pow.f64 N 4) 4))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 4 (pow.f64 N 4)))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (/.f64 (fma.f64 (pow.f64 N 6) 8 (pow.f64 (neg.f64 N) 3)) (fma.f64 4 (pow.f64 N 4) (*.f64 N (fma.f64 N (+.f64 N N) N)))))
(+.f64 (+.f64 N (neg.f64 (pow.f64 (cbrt.f64 N) 3))) (/.f64 (fma.f64 (pow.f64 N 6) 8 (pow.f64 (neg.f64 N) 3)) (fma.f64 4 (pow.f64 N 4) (.f64 N (.f64 N (fma.f64 N 2 1))))))
(fma.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 (pow.f64 N 4) 4))) (+.f64 (neg.f64 N) N))
(fma.f64 (-.f64 (.f64 (pow.f64 N 6) 8) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N (.f64 N 2) N) (*.f64 4 (pow.f64 N 4)))) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (fma.f64 (pow.f64 N 6) 8 (pow.f64 (neg.f64 N) 3)) (fma.f64 4 (pow.f64 N 4) (*.f64 N (fma.f64 N (+.f64 N N) N)))))
(+.f64 (-.f64 N N) (/.f64 (fma.f64 (pow.f64 N 6) 8 (pow.f64 (neg.f64 N) 3)) (fma.f64 4 (pow.f64 N 4) (.f64 N (.f64 N (fma.f64 N 2 1))))))
(fma.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (.f64 N N)) (/.f64 1 (fma.f64 N (*.f64 N 2) N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (fma.f64 (pow.f64 N 4) 4 (neg.f64 (.f64 N N))) (/.f64 1 (fma.f64 N (.f64 N 2) N)) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (fma.f64 4 (pow.f64 N 4) (*.f64 N (neg.f64 N))) (fma.f64 N (+.f64 N N) N)))
(+.f64 (-.f64 N N) (/.f64 (fma.f64 4 (pow.f64 N 4) (.f64 N (neg.f64 N))) (.f64 N (fma.f64 N 2 1))))
(fma.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (.f64 N N)) (/.f64 1 (fma.f64 N (*.f64 N 2) N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (fma.f64 (pow.f64 N 4) 4 (neg.f64 (.f64 N N))) (/.f64 1 (fma.f64 N (.f64 N 2) N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (/.f64 (fma.f64 4 (pow.f64 N 4) (*.f64 N (neg.f64 N))) (fma.f64 N (+.f64 N N) N)))
(+.f64 (+.f64 N (neg.f64 (pow.f64 (cbrt.f64 N) 3))) (/.f64 (fma.f64 4 (pow.f64 N 4) (.f64 N (neg.f64 N))) (.f64 N (fma.f64 N 2 1))))
(fma.f64 (-.f64 (.f64 (pow.f64 N 4) 4) (.f64 N N)) (/.f64 1 (fma.f64 N (*.f64 N 2) N)) (+.f64 (neg.f64 N) N))
(fma.f64 (fma.f64 (pow.f64 N 4) 4 (neg.f64 (.f64 N N))) (/.f64 1 (fma.f64 N (.f64 N 2) N)) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (fma.f64 4 (pow.f64 N 4) (*.f64 N (neg.f64 N))) (fma.f64 N (+.f64 N N) N)))
(+.f64 (-.f64 N N) (/.f64 (fma.f64 4 (pow.f64 N 4) (.f64 N (neg.f64 N))) (.f64 N (fma.f64 N 2 1))))
(fma.f64 (*.f64 N 2) N (neg.f64 N))
(-.f64 (*.f64 N (+.f64 N N)) N)
(*.f64 N (fma.f64 N 2 -1))
(fma.f64 (.f64 N 2) N (.f64 (neg.f64 N) 1))
(-.f64 (*.f64 N (+.f64 N N)) N)
(*.f64 N (fma.f64 N 2 -1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 N)) 2) (cbrt.f64 (neg.f64 N)) (.f64 N (.f64 N 2)))
(-.f64 (*.f64 N (+.f64 N N)) N)
(*.f64 N (fma.f64 N 2 -1))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) (.f64 N (.f64 N 2)))
(-.f64 (*.f64 N (+.f64 N N)) N)
(*.f64 N (fma.f64 N 2 -1))
(fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) (.f64 N (.f64 N 2)))
(-.f64 (*.f64 N (+.f64 N N)) N)
(*.f64 N (fma.f64 N 2 -1))
(fma.f64 -1 N (.f64 N (.f64 N 2)))
(-.f64 (*.f64 N (+.f64 N N)) N)
(*.f64 N (fma.f64 N 2 -1))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (+.f64 N (neg.f64 N)))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (-.f64 N N))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (+.f64 N (neg.f64 (pow.f64 (cbrt.f64 N) 3))))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (+.f64 (neg.f64 N) N))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (+.f64 N (neg.f64 N)))
(fma.f64 (fma.f64 N (sqrt.f64 2) (sqrt.f64 N)) (fma.f64 N (sqrt.f64 2) (neg.f64 (sqrt.f64 N))) (-.f64 N N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (.f64 N (.f64 N 2)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (neg.f64 (cbrt.f64 N)) (*.f64 N (+.f64 N N)))
(+.f64 (*.f64 N (+.f64 N N)) (neg.f64 (pow.f64 (cbrt.f64 N) 3)))
(fma.f64 (.f64 2 (.f64 (cbrt.f64 N) N)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 2 (.f64 N (cbrt.f64 N))) (neg.f64 N))
(-.f64 (.f64 (+.f64 N N) (.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2))) N)
(-.f64 (*.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 3)) N)
(fma.f64 (.f64 2 (.f64 (cbrt.f64 N) N)) (pow.f64 (cbrt.f64 N) 2) (*.f64 (neg.f64 N) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 2 (.f64 N (cbrt.f64 N))) (neg.f64 N))
(-.f64 (.f64 (+.f64 N N) (.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2))) N)
(-.f64 (*.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 3)) N)
(+.f64 (.f64 N N) (.f64 N N))
(*.f64 N (+.f64 N N))
(+.f64 0 (.f64 N (.f64 N 2)))
(*.f64 N (+.f64 N N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (*.f64 N 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (+.f64 N N)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (.f64 N 2)))))
(*.f64 2 (log.f64 (fabs.f64 (pow.f64 (exp.f64 N) N))))
(-.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N 2)))) 1)
(*.f64 N (+.f64 N N))
(pow.f64 (.f64 N (.f64 N 2)) 1)
(*.f64 N (+.f64 N N))
(pow.f64 (*.f64 (pow.f64 N 4) 4) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 N 4)))
(pow.f64 (cbrt.f64 (.f64 N (.f64 N 2))) 3)
(*.f64 N (+.f64 N N))
(pow.f64 (*.f64 N (sqrt.f64 2)) 2)
(pow.f64 (*.f64 (pow.f64 N 6) 8) 1/3)
(*.f64 N (+.f64 N N))
(sqrt.f64 (*.f64 (pow.f64 N 4) 4))
(sqrt.f64 (*.f64 4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 N) (*.f64 N 2)))
(*.f64 N (+.f64 N N))
(log.f64 (+.f64 1 (expm1.f64 (.f64 N (.f64 N 2)))))
(*.f64 N (+.f64 N N))
(cbrt.f64 (*.f64 (pow.f64 N 6) 8))
(*.f64 N (+.f64 N N))
(expm1.f64 (log1p.f64 (.f64 N (.f64 N 2))))
(*.f64 N (+.f64 N N))
(log1p.f64 (expm1.f64 (.f64 N (.f64 N 2))))
(*.f64 N (+.f64 N N))
(exp.f64 (fma.f64 2 (log.f64 N) (log.f64 2)))
(*.f64 N (+.f64 N N))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 N) (log.f64 2)) 1))
(*.f64 N (+.f64 N N))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 N (*.f64 N 2)))) 3))
(*.f64 N (+.f64 N N))
(exp.f64 (.f64 (log.f64 (.f64 N (sqrt.f64 2))) 2))
(pow.f64 (*.f64 N (sqrt.f64 2)) 2)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 N 6) 8)) 1/3))
(*.f64 N (+.f64 N N))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 N) (log.f64 2)) 1) 1))
(*.f64 N (+.f64 N N))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 N) (log.f64 2)) 3) 1/3))
(*.f64 N (+.f64 N N))

eval176.0ms (5.2%)

Compiler: Compiled 9544 to 6228 computations (34.7% saved)

prune80.0ms (2.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	504	1	505
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	504	7	511

Error

Counts

511 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.8b	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
✓	31.3b	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶	53.4b	(/.f64 (.f64 N (+.f64 N N)) (.f64 N (.f64 (.f64 N N) 2)))
✓	30.1b	(/.f64 1 N)
✓	32.6b	(neg.f64 (log.f64 N))
✓	0.0b	(log1p.f64 (/.f64 1 N))
	61.1b	N

Compiler

Compiled 53 to 34 computations (35.8% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 N N) 2)
	0.1b	(.f64 N (.f64 (*.f64 N N) 2))
✓	40.7b	(/.f64 (.f64 N (+.f64 N N)) (.f64 N (.f64 (.f64 N N) 2)))

Compiler

Compiled 39 to 14 computations (64.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
521×	`add-log-exp_binary64`
519×	`log1p-expm1-u_binary64`
519×	`expm1-log1p-u_binary64`
509×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	205	4
2	3801	4

Stop Event

1×	node limit

Counts

1 → 113

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

59×	`*-commutative_binary64`
27×	`associate-*l/_binary64`
23×	`associate-*r/_binary64`
21×	`distribute-rgt-in_binary64`
17×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	1169
1	476	1169

Stop Event

1×

unsound

Counts

125 → 153

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(+.f64 N N)
(+.f64 (.f64 N N) (.f64 N N))
(+.f64 (+.f64 N N) (+.f64 N N))
(+.f64 (pow.f64 N 3) (pow.f64 N 3))
(-.f64 (+.f64 1 (+.f64 N N)) 1)
(-.f64 (/.f64 (.f64 N N) 0) (/.f64 (.f64 N N) 0))
(*.f64 N 2)
(*.f64 N (+.f64 N N))
(*.f64 N (cbrt.f64 2))
(*.f64 N (sqrt.f64 2))
(.f64 (.f64 N N) 2)
(.f64 (.f64 N N) (+.f64 N N))
(*.f64 2 N)
(.f64 2 (.f64 N N))
(*.f64 2 (+.f64 N N))
(*.f64 2 (pow.f64 N 3))
(*.f64 (+.f64 N N) N)
(.f64 (+.f64 N N) (.f64 N N))
(*.f64 (+.f64 N N) 2)
(*.f64 (+.f64 N N) (+.f64 N N))
(*.f64 (+.f64 N N) 1)
(*.f64 (+.f64 N N) (cbrt.f64 N))
(*.f64 (+.f64 N N) (sqrt.f64 N))
(*.f64 (+.f64 N N) (fma.f64 N N 0))
(*.f64 (+.f64 N N) (/.f64 1 N))
(*.f64 (+.f64 N N) (/.f64 1 (fma.f64 N N 0)))
(*.f64 1 (+.f64 N N))
(.f64 1 (/.f64 N (.f64 N N)))
(*.f64 (pow.f64 N 4) 4)
(.f64 (pow.f64 (.f64 N N) 3) 4)
(.f64 4 (.f64 N N))
(*.f64 4 (pow.f64 N 4))
(*.f64 (cbrt.f64 (pow.f64 N 4)) (+.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 N) 2)))
(.f64 (cbrt.f64 (pow.f64 N 4)) (.f64 (pow.f64 (cbrt.f64 N) 2) 2))
(*.f64 (cbrt.f64 N) (+.f64 N N))
(*.f64 (cbrt.f64 N) (+.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 N N))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (pow.f64 N 4))))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 N) (cbrt.f64 N)))
(.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 (cbrt.f64 N) 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 N))
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (sqrt.f64 N) (+.f64 N N))
(*.f64 (sqrt.f64 N) (+.f64 (sqrt.f64 N) (sqrt.f64 N)))
(.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) 2))
(*.f64 (sqrt.f64 2) N)
(*.f64 (sqrt.f64 2) (sqrt.f64 N))
(*.f64 (neg.f64 (+.f64 N N)) (/.f64 1 (neg.f64 (+.f64 N N))))
(*.f64 (pow.f64 N 3) 2)
(*.f64 (pow.f64 N 3) (+.f64 N N))
(*.f64 0 (/.f64 1 0))
(*.f64 (fma.f64 N N 0) (+.f64 N N))
(*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 2))
(*.f64 1/2 (+.f64 N N))
(.f64 1/2 (/.f64 (+.f64 N N) (.f64 N N)))
(*.f64 (/.f64 N 2) (+.f64 N N))
(*.f64 (/.f64 (+.f64 N N) 2) (+.f64 N N))
(*.f64 (/.f64 (+.f64 N N) 2) 1)
(.f64 (/.f64 (+.f64 N N) 2) (/.f64 (+.f64 N N) (.f64 N N)))
(*.f64 (/.f64 (pow.f64 N 3) 2) (/.f64 2 N))
(*.f64 (/.f64 2 N) (+.f64 N N))
(*.f64 (/.f64 N 1) (+.f64 N N))
(*.f64 (/.f64 (pow.f64 N 3) 1) (+.f64 N N))
(*.f64 (/.f64 (pow.f64 N 3) (+.f64 N N)) (+.f64 N N))
(*.f64 (/.f64 (pow.f64 N 3) (+.f64 N N)) (/.f64 2 N))
(*.f64 (/.f64 1 N) (+.f64 N N))
(*.f64 (/.f64 (pow.f64 N 3) N) (+.f64 N N))
(*.f64 (/.f64 N (pow.f64 N 3)) (/.f64 (+.f64 N N) 2))
(*.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 (+.f64 N N) 2))
(*.f64 (/.f64 N (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N N) (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N N) (cbrt.f64 N)))
(*.f64 (/.f64 N (sqrt.f64 N)) (/.f64 (+.f64 N N) (sqrt.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N N) (sqrt.f64 N)))
(.f64 (/.f64 2 (.f64 N N)) (/.f64 N 2))
(.f64 (/.f64 1 (.f64 N N)) (/.f64 (+.f64 N N) 2))
(.f64 (/.f64 (+.f64 N N) (.f64 N N)) (/.f64 (+.f64 N N) 2))
(*.f64 (/.f64 (+.f64 N N) 0) 0)
(*.f64 (/.f64 (+.f64 N N) (pow.f64 N 3)) (/.f64 N 2))
(*.f64 (/.f64 (+.f64 N N) (pow.f64 N 3)) (/.f64 (+.f64 N N) 2))
(*.f64 (/.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 N (cbrt.f64 N)))
(*.f64 (/.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N N) (cbrt.f64 N)))
(*.f64 (/.f64 (+.f64 N N) (sqrt.f64 N)) (/.f64 N (sqrt.f64 N)))
(*.f64 (/.f64 (+.f64 N N) (sqrt.f64 N)) (/.f64 (+.f64 N N) (sqrt.f64 N)))
(.f64 (.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(.f64 (.f64 2 (sqrt.f64 N)) (sqrt.f64 N))
(.f64 (.f64 (+.f64 N N) (pow.f64 N 3)) 2)
(.f64 (.f64 2 (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (+.f64 N N) 2)
(pow.f64 (+.f64 N N) 1)
(pow.f64 (+.f64 N N) 3)
(pow.f64 (+.f64 N N) -1)
(pow.f64 (+.f64 N N) 1/3)
(pow.f64 (+.f64 N N) 1/2)
(neg.f64 (/.f64 (+.f64 N N) (neg.f64 (+.f64 N N))))
(sqrt.f64 (+.f64 N N))
(fabs.f64 (+.f64 N N))
(log.f64 (pow.f64 (exp.f64 2) N))
(cbrt.f64 (+.f64 N N))
(cbrt.f64 (/.f64 (+.f64 N N) (pow.f64 N 3)))
(cbrt.f64 (*.f64 (+.f64 N N) (pow.f64 N 3)))
(hypot.f64 N N)
(hypot.f64 (sqrt.f64 N) (sqrt.f64 N))
(expm1.f64 (log1p.f64 (+.f64 N N)))
(log1p.f64 (expm1.f64 (+.f64 N N)))
(exp.f64 (log.f64 (+.f64 N N)))
(fma.f64 N N (*.f64 N N))
(fma.f64 1 N N)
(fma.f64 1 (.f64 N N) (.f64 N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) N)

Outputs
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(/.f64 1 N)
(/.f64 0 N)
(+.f64 N N)
(+.f64 (.f64 N N) (.f64 N N))
(*.f64 N (+.f64 N N))
(+.f64 (+.f64 N N) (+.f64 N N))
(*.f64 (+.f64 N N) 2)
(+.f64 (pow.f64 N 3) (pow.f64 N 3))
(*.f64 (pow.f64 N 3) 2)
(-.f64 (+.f64 1 (+.f64 N N)) 1)
(+.f64 (+.f64 0 (+.f64 N N)) -1)
(-.f64 (/.f64 (.f64 N N) 0) (/.f64 (.f64 N N) 0))
0
(*.f64 N 2)
(+.f64 N N)
(*.f64 N (+.f64 N N))
(*.f64 N (cbrt.f64 2))
(*.f64 N (sqrt.f64 2))
(.f64 (.f64 N N) 2)
(*.f64 N (+.f64 N N))
(.f64 (.f64 N N) (+.f64 N N))
(*.f64 (pow.f64 N 3) 2)
(*.f64 2 N)
(+.f64 N N)
(.f64 2 (.f64 N N))
(*.f64 N (+.f64 N N))
(*.f64 2 (+.f64 N N))
(*.f64 (+.f64 N N) 2)
(*.f64 2 (pow.f64 N 3))
(*.f64 (pow.f64 N 3) 2)
(*.f64 (+.f64 N N) N)
(*.f64 N (+.f64 N N))
(.f64 (+.f64 N N) (.f64 N N))
(*.f64 (pow.f64 N 3) 2)
(*.f64 (+.f64 N N) 2)
(*.f64 (+.f64 N N) (+.f64 N N))
(pow.f64 (+.f64 N N) 2)
(*.f64 (+.f64 N N) 1)
(+.f64 N N)
(*.f64 (+.f64 N N) (cbrt.f64 N))
(*.f64 (+.f64 N N) (sqrt.f64 N))
(*.f64 (+.f64 N N) (fma.f64 N N 0))
(*.f64 (+.f64 N N) (/.f64 1 N))
(/.f64 (+.f64 N N) N)
(*.f64 (+.f64 N N) (/.f64 1 (fma.f64 N N 0)))
(/.f64 (+.f64 N N) (fma.f64 N N 0))
(*.f64 1 (+.f64 N N))
(+.f64 N N)
(.f64 1 (/.f64 N (.f64 N N)))
(/.f64 N (*.f64 N N))
(*.f64 (pow.f64 N 4) 4)
(*.f64 4 (pow.f64 N 4))
(.f64 (pow.f64 (.f64 N N) 3) 4)
(.f64 4 (pow.f64 (.f64 N N) 3))
(.f64 4 (.f64 N N))
(.f64 (.f64 N N) 4)
(*.f64 4 (pow.f64 N 4))
(*.f64 (cbrt.f64 (pow.f64 N 4)) (+.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 N) 2)))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)))
(.f64 (cbrt.f64 (pow.f64 N 4)) (.f64 (pow.f64 (cbrt.f64 N) 2) 2))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (cbrt.f64 N) (+.f64 N N))
(*.f64 (+.f64 N N) (cbrt.f64 N))
(*.f64 (cbrt.f64 N) (+.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 N) 2)))
(.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 2 (cbrt.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 N N))
(*.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (pow.f64 N 4))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 N) (cbrt.f64 N)))
(.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 2 (cbrt.f64 N)))
(.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 (cbrt.f64 N) 2))
(.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 2 (cbrt.f64 N)))
(*.f64 (cbrt.f64 2) (cbrt.f64 N))
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (sqrt.f64 N) (+.f64 N N))
(*.f64 (+.f64 N N) (sqrt.f64 N))
(*.f64 (sqrt.f64 N) (+.f64 (sqrt.f64 N) (sqrt.f64 N)))
(.f64 2 (.f64 (sqrt.f64 N) (sqrt.f64 N)))
(.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) 2))
(.f64 2 (.f64 (sqrt.f64 N) (sqrt.f64 N)))
(*.f64 (sqrt.f64 2) N)
(*.f64 N (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 N))
(*.f64 (neg.f64 (+.f64 N N)) (/.f64 1 (neg.f64 (+.f64 N N))))
0
(*.f64 (pow.f64 N 3) 2)
(*.f64 (pow.f64 N 3) (+.f64 N N))
(*.f64 (+.f64 N N) (pow.f64 N 3))
(*.f64 0 (/.f64 1 0))
0
(*.f64 (fma.f64 N N 0) (+.f64 N N))
(*.f64 (+.f64 N N) (fma.f64 N N 0))
(*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (pow.f64 N 3)))
(*.f64 1/2 (+.f64 N N))
(*.f64 (+.f64 N N) 1/2)
(.f64 1/2 (/.f64 (+.f64 N N) (.f64 N N)))
(*.f64 (/.f64 N 2) (+.f64 N N))
(*.f64 (+.f64 N N) (/.f64 N 2))
(*.f64 (/.f64 (+.f64 N N) 2) (+.f64 N N))
(/.f64 (pow.f64 (+.f64 N N) 2) 2)
(*.f64 (/.f64 (+.f64 N N) 2) 1)
(/.f64 (+.f64 N N) 2)
(.f64 (/.f64 (+.f64 N N) 2) (/.f64 (+.f64 N N) (.f64 N N)))
(/.f64 (/.f64 (pow.f64 (+.f64 N N) 2) 2) (*.f64 N N))
(*.f64 (/.f64 (pow.f64 N 3) 2) (/.f64 2 N))
(*.f64 (/.f64 2 N) (+.f64 N N))
(*.f64 (+.f64 N N) (/.f64 2 N))
(*.f64 (/.f64 N 1) (+.f64 N N))
(*.f64 N (+.f64 N N))
(*.f64 (/.f64 (pow.f64 N 3) 1) (+.f64 N N))
(*.f64 (+.f64 N N) (pow.f64 N 3))
(*.f64 (/.f64 (pow.f64 N 3) (+.f64 N N)) (+.f64 N N))
(*.f64 (+.f64 N N) (/.f64 (pow.f64 N 3) (+.f64 N N)))
(*.f64 (/.f64 (pow.f64 N 3) (+.f64 N N)) (/.f64 2 N))
(/.f64 (*.f64 (pow.f64 N 3) (/.f64 2 N)) (+.f64 N N))
(*.f64 (/.f64 1 N) (+.f64 N N))
(/.f64 (+.f64 N N) N)
(*.f64 (/.f64 (pow.f64 N 3) N) (+.f64 N N))
(*.f64 (+.f64 N N) (/.f64 (pow.f64 N 3) N))
(*.f64 (/.f64 N (pow.f64 N 3)) (/.f64 (+.f64 N N) 2))
(*.f64 (/.f64 (+.f64 N N) 2) (/.f64 N (pow.f64 N 3)))
(*.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 (+.f64 N N) 2))
(/.f64 (/.f64 (+.f64 N N) 2) (pow.f64 N 3))
(*.f64 (/.f64 N (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N N) (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N N) (cbrt.f64 N)))
(*.f64 (/.f64 (+.f64 N N) (cbrt.f64 N)) (/.f64 0 (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 N (sqrt.f64 N)) (/.f64 (+.f64 N N) (sqrt.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N N) (sqrt.f64 N)))
(*.f64 (/.f64 (+.f64 N N) (sqrt.f64 N)) (/.f64 0 (sqrt.f64 N)))
(.f64 (/.f64 2 (.f64 N N)) (/.f64 N 2))
(.f64 (/.f64 N 2) (/.f64 2 (.f64 N N)))
(.f64 (/.f64 1 (.f64 N N)) (/.f64 (+.f64 N N) 2))
(/.f64 (/.f64 (+.f64 N N) 2) (*.f64 N N))
(.f64 (/.f64 (+.f64 N N) (.f64 N N)) (/.f64 (+.f64 N N) 2))
(/.f64 (/.f64 (pow.f64 (+.f64 N N) 2) 2) (*.f64 N N))
(*.f64 (/.f64 (+.f64 N N) 0) 0)
0
(*.f64 (/.f64 (+.f64 N N) (pow.f64 N 3)) (/.f64 N 2))
(*.f64 (/.f64 N 2) (/.f64 (+.f64 N N) (pow.f64 N 3)))
(*.f64 (/.f64 (+.f64 N N) (pow.f64 N 3)) (/.f64 (+.f64 N N) 2))
(/.f64 (/.f64 (pow.f64 (+.f64 N N) 2) 2) (pow.f64 N 3))
(*.f64 (/.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 N (cbrt.f64 N)))
(*.f64 (/.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N N) (cbrt.f64 N)))
(/.f64 (*.f64 (+.f64 N N) (/.f64 (+.f64 N N) (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (+.f64 N N) (sqrt.f64 N)) (/.f64 N (sqrt.f64 N)))
(*.f64 (/.f64 N (sqrt.f64 N)) (/.f64 (+.f64 N N) (sqrt.f64 N)))
(*.f64 (/.f64 (+.f64 N N) (sqrt.f64 N)) (/.f64 (+.f64 N N) (sqrt.f64 N)))
(.f64 (.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(.f64 (cbrt.f64 N) (.f64 (+.f64 N N) (pow.f64 (cbrt.f64 N) 2)))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 2 (cbrt.f64 N)))
(.f64 (.f64 2 (sqrt.f64 N)) (sqrt.f64 N))
(.f64 2 (.f64 (sqrt.f64 N) (sqrt.f64 N)))
(.f64 (.f64 (+.f64 N N) (pow.f64 N 3)) 2)
(.f64 (+.f64 N N) (.f64 (pow.f64 N 3) 2))
(.f64 (.f64 2 (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)))
(pow.f64 (+.f64 N N) 2)
(pow.f64 (+.f64 N N) 1)
(+.f64 N N)
(pow.f64 (+.f64 N N) 3)
(pow.f64 (+.f64 N N) -1)
(/.f64 0 (+.f64 N N))
(pow.f64 (+.f64 N N) 1/3)
(cbrt.f64 (+.f64 N N))
(pow.f64 (+.f64 N N) 1/2)
(sqrt.f64 (+.f64 N N))
(neg.f64 (/.f64 (+.f64 N N) (neg.f64 (+.f64 N N))))
(/.f64 (neg.f64 (+.f64 N N)) (neg.f64 (+.f64 N N)))
(sqrt.f64 (+.f64 N N))
(fabs.f64 (+.f64 N N))
(log.f64 (pow.f64 (exp.f64 2) N))
(*.f64 N (log.f64 (exp.f64 2)))
(cbrt.f64 (+.f64 N N))
(cbrt.f64 (/.f64 (+.f64 N N) (pow.f64 N 3)))
(cbrt.f64 (*.f64 (+.f64 N N) (pow.f64 N 3)))
(hypot.f64 N N)
(hypot.f64 (sqrt.f64 N) (sqrt.f64 N))
(expm1.f64 (log1p.f64 (+.f64 N N)))
(+.f64 N N)
(log1p.f64 (expm1.f64 (+.f64 N N)))
(+.f64 N N)
(exp.f64 (log.f64 (+.f64 N N)))
(+.f64 N N)
(fma.f64 N N (*.f64 N N))
(*.f64 N (+.f64 N N))
(fma.f64 1 N N)
(fma.f64 0 N N)
(fma.f64 1 (.f64 N N) (.f64 N N))
(fma.f64 0 (.f64 N N) (.f64 N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) N)

eval39.0ms (1.2%)

Compiler: Compiled 2056 to 1001 computations (51.3% saved)

prune32.0ms (1%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	203	5	208
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	204	11	215

Error

Counts

215 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.8b	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
✓	31.3b	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
	57.7b	(/.f64 (+.f64 N N) N)
	45.9b	(/.f64 N (*.f64 N N))
✓	30.1b	(/.f64 1 N)
	62.2b	(+.f64 (+.f64 0 (+.f64 N N)) -1)
	57.7b	(*.f64 (/.f64 2 N) (+.f64 N N))
✓	32.6b	(neg.f64 (log.f64 N))
✓	0.0b	(log1p.f64 (/.f64 1 N))
	61.1b	N
	61.3b	0

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes22.0ms (0.7%)

Counts

19 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (/.f64 1 N))

Calls

3 calls:

10.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
4.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 136 to 71 computations (47.8% saved)

regimes23.0ms (0.7%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.8b	2	`N`

Compiler

Compiled 79 to 40 computations (49.4% saved)

bsearch17.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	5.015603817770569e-5	0.9081984397122428

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 124 to 97 computations (21.8% saved)

regimes15.0ms (0.4%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
26.9b	2	`N`

Compiler

Compiled 76 to 38 computations (50% saved)

bsearch16.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	5.015603817770569e-5	0.9081984397122428

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 156 to 113 computations (27.6% saved)

regimes11.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(*.f64 (/.f64 2 N) (+.f64 N N))
(/.f64 1 N)

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
27.2b	2	`N`

Compiler

Compiled 32 to 16 computations (50% saved)

bsearch17.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	5.015603817770569e-5	0.9081984397122428

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 124 to 89 computations (28.2% saved)

regimes9.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 N N) N)

Outputs
(/.f64 (+.f64 N N) N)
(/.f64 1 N)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
27.3b	2	`N`

Compiler

Compiled 18 to 9 computations (50% saved)

bsearch16.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	5.015603817770569e-5	0.9081984397122428

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 108 to 73 computations (32.4% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(/.f64 N (*.f64 N N))

Outputs
(/.f64 1 N)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
30.1b	1	`N`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1.0b (-1.6%)

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)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	96
1	36	96
2	44	96
3	47	96
4	48	96

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 5944751508129055/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 5404319552844595/9007199254740992) (*.f64 (/.f64 2 N) (+.f64 N N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 1/4) (*.f64 (/.f64 2 N) (+.f64 N N)) (/.f64 1 N))
(if (<=.f64 N 1/2) (/.f64 (+.f64 N N) N) (/.f64 1 N))
(/.f64 1 N)
N
0

Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 5944751508129055/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 5944751508129055/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (<=.f64 N 5404319552844595/9007199254740992) (*.f64 (/.f64 2 N) (+.f64 N N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 5404319552844595/9007199254740992) (*.f64 (/.f64 2 N) (+.f64 N N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (<=.f64 N 1/4) (*.f64 (/.f64 2 N) (+.f64 N N)) (/.f64 1 N))
(if (<=.f64 N 1/2) (/.f64 (+.f64 N N) N) (/.f64 1 N))
(/.f64 1 N)
N
0

Compiler

Compiled 75 to 52 computations (30.7% saved)

soundness94.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

544×	`fma-def_binary64`
429×	`fma-neg_binary64`
345×	`unswap-sqr_binary64`
278×	`distribute-rgt-in_binary64`
274×	`log-prod_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	167	822
1	415	796
2	1500	793
3	6812	733

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 113 to 85 computations (24.8% saved)

end47.0ms (1.4%)

Compiler: Compiled 68 to 43 computations (36.8% saved)

Details

analyze2.0ms (0.1%)

sample1.6s (48.4%)

preprocess22.0ms (0.7%)

simplify10.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite41.0ms (1.2%)

simplify49.0ms (1.4%)

eval14.0ms (0.4%)

prune14.0ms (0.4%)

localize2.0ms (0.1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite76.0ms (2.3%)

simplify47.0ms (1.4%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite37.0ms (1.1%)

simplify43.0ms (1.3%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite46.0ms (1.4%)

simplify50.0ms (1.5%)

eval74.0ms (2.2%)

prune31.0ms (0.9%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite36.0ms (1.1%)

simplify54.0ms (1.6%)

localize10.0ms (0.3%)

series2.0ms (0%)

rewrite54.0ms (1.6%)

simplify41.0ms (1.2%)

localize12.0ms (0.4%)

series5.0ms (0.1%)

rewrite100.0ms (3%)

simplify97.0ms (2.9%)

eval176.0ms (5.2%)

prune80.0ms (2.4%)

localize11.0ms (0.3%)

series1.0ms (0%)

rewrite44.0ms (1.3%)

simplify20.0ms (0.6%)

eval39.0ms (1.2%)

prune32.0ms (1%)

regimes22.0ms (0.7%)

regimes23.0ms (0.7%)

bsearch17.0ms (0.5%)

regimes15.0ms (0.4%)

bsearch16.0ms (0.5%)

regimes11.0ms (0.3%)

bsearch17.0ms (0.5%)

regimes9.0ms (0.3%)

bsearch16.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify7.0ms (0.2%)

soundness94.0ms (2.8%)

end47.0ms (1.4%)

Profiling