Details

analyze82.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.2%	0.1%	6
46.8%	53.1%	0.1%	7
56.2%	43.7%	0.1%	8
71%	28.9%	0.1%	9
76.5%	23.4%	0.1%	10
84.9%	15%	0.1%	11
87.8%	12.1%	0.1%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample847.0ms (19.9%)

Results

834.0ms

8256×

body

256

valid

preprocess119.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

762×	`fma-neg_binary64`
504×	`fma-def_binary64`
427×	`times-frac_binary64`
366×	`div-sub_binary64`
224×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	29	24
2	55	24
3	116	24
4	271	24
5	568	20
6	1410	20
7	3565	20
8	4602	20
9	4909	20
10	5050	20
11	5088	20
12	5098	20
13	5098	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify101.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
451×	`times-frac_binary64`
308×	`div-sub_binary64`
194×	`associate-/l*_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	82	12
4	182	12
5	330	12
6	818	10
7	2533	10
8	3446	10
9	4154	10
10	4275	10
11	4318	10
12	4328	10
13	4328	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))

eval1.0ms (0%)

Compiler: Compiled 17 to 8 computations (52.9% 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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	f	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	n	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	n	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	f	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	144	10
2	2313	10

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))

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

Outputs

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

simplify159.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

665×	`times-frac_binary64`
552×	`div-sub_binary64`
525×	`fma-def_binary64`
460×	`distribute-frac-neg_binary64`
352×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	504
1	264	441
2	942	327
3	4893	327

Stop Event

1×	node limit

Counts

58 → 57

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 (.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(+.f64 (/.f64 (.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (/.f64 (.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1))

eval15.0ms (0.4%)

Compiler: Compiled 845 to 389 computations (54% saved)

prune13.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	9	58

Error

Counts

58 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.2b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	28.5b	(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
▶	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
▶	29.9b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	33.9b	1
	30.6b	-1
	1.3b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
▶	33.9b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))

Compiler

Compiled 175 to 111 computations (36.6% saved)

localize36.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 n f))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))

Compiler

Compiled 25 to 10 computations (60% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`prod-diff_binary64`
453×	`log-prod_binary64`
352×	`fma-def_binary64`
242×	`pow2_binary64`
170×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	184	17
2	2812	17

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 1 (-.f64 n f))

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

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

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

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

828×	`times-frac_binary64`
668×	`div-sub_binary64`
623×	`fma-def_binary64`
440×	`associate-/l*_binary64`
401×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	999
1	335	915
2	1173	765
3	6048	765

Stop Event

1×	node limit

Counts

163 → 152

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 f n))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series6.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite41.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1608	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 2 (/.f64 f n))

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.2%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 2 (/.f64 f n))
✓	0.1b	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))

Compiler

Compiled 45 to 23 computations (48.9% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	n	@	0	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))
1.0ms	f	@	inf	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))
1.0ms	f	@	0	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))
1.0ms	f	@	-inf	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))
1.0ms	n	@	-inf	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))

rewrite97.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
424×	`prod-diff_binary64`
363×	`exp-prod_binary64`
357×	`pow-prod-down_binary64`
252×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	185	14
2	2706	14

Stop Event

1×	node limit

Counts

1 → 105

Calls

Call 1

Inputs
(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 f n) 2) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 f n) 2) (*.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2)))) 1)))) (#(struct:change #<rule 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simplify91.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

698×	`associate-/l*_binary64`
460×	`fma-def_binary64`
438×	`associate-/r*_binary64`
435×	`distribute-rgt-out_binary64`
387×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	402
1	29	402
2	62	348
3	156	348
4	786	312
5	5273	312
6	7055	312
7	7939	312

Stop Event

1×	node limit

Counts

129 → 111

Calls

Call 1

Inputs
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))

Outputs
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))
(.f64 2 (.f64 (/.f64 f n) (/.f64 f n)))
(.f64 2 (.f64 f (/.f64 f (*.f64 n n))))
(.f64 f (.f64 f (/.f64 (/.f64 2 n) n)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))
(.f64 2 (.f64 (/.f64 f n) (/.f64 f n)))
(.f64 2 (.f64 f (/.f64 f (*.f64 n n))))
(.f64 f (.f64 f (/.f64 (/.f64 2 n) n)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))
(.f64 2 (.f64 (/.f64 f n) (/.f64 f n)))
(.f64 2 (.f64 f (/.f64 f (*.f64 n n))))
(.f64 f (.f64 f (/.f64 (/.f64 2 n) n)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(.f64 2 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))))
(.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))
(*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 2))
(/.f64 (fma.f64 f (/.f64 2 n) 2) (/.f64 n f))

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
✓	3.5b	(-.f64 (.f64 n n) (.f64 f f))
✓	27.2b	(/.f64 (+.f64 f n) (-.f64 (.f64 n n) (.f64 f f)))

Compiler

Compiled 46 to 8 computations (82.6% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
1.0ms	f	@	0	(/.f64 (+.f64 f n) (-.f64 (.f64 n n) (.f64 f f)))
0.0ms	f	@	inf	(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
0.0ms	n	@	inf	(-.f64 (.f64 n n) (.f64 f f))
0.0ms	n	@	0	(-.f64 (.f64 n n) (.f64 f f))

rewrite92.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`fma-def_binary64`
601×	`log-prod_binary64`
294×	`pow2_binary64`
294×	`fma-neg_binary64`
215×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	48
1	222	27
2	3725	27

Stop Event

1×	node limit

Counts

3 → 302

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 (.f64 n n) (.f64 f f)))
(-.f64 (.f64 n n) (.f64 f f))
(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (/.f64 1 (fma.f64 f (neg.f64 f) (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 n f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 n f) 2))) (/.f64 1 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (fma.f64 f (neg.f64 f) (*.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 1 (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (fma.f64 f (neg.f64 f) (*.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (fma.f64 f (neg.f64 f) (*.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 f (neg.f64 f) (*.f64 n n))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (+.f64 f n)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 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simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

563×	`cancel-sign-sub-inv_binary64`
496×	`associate-/l/_binary64`
395×	`div-sub_binary64`
325×	`fma-def_binary64`
291×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1227
1	225	1146
2	733	1041
3	3032	942
4	7826	942

Stop Event

1×	node limit

Counts

374 → 340

Calls

Call 1

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

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

eval177.0ms (4.2%)

Compiler: Compiled 12422 to 4731 computations (61.9% saved)

prune96.0ms (2.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	639	4	643
Fresh	2	1	3
Picked	1	0	1
Done	0	5	5
Total	642	10	652

Error

Counts

652 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
▶	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
	33.9b	1
✓	29.9b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	33.2b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	30.6b	-1
▶	28.7b	(.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f)) (+.f64 f n))
✓	33.9b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))

Compiler

Compiled 102 to 66 computations (35.3% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f)) (+.f64 f n))
✓	1.1b	(/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))
	3.5b	(-.f64 (.f64 n n) (.f64 f f))
✓	26.1b	(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))

Compiler

Compiled 63 to 17 computations (73% saved)

series7.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))
1.0ms	n	@	inf	(/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))
0.0ms	f	@	inf	(/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))
0.0ms	f	@	0	(/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))
0.0ms	n	@	0	(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))

rewrite87.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`fma-def_binary64`
684×	`log-prod_binary64`
358×	`fma-neg_binary64`
221×	`expm1-udef_binary64`
221×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	291	30
2	4509	30

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

Inputs
(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f)) (+.f64 f n))

Outputs

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

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

495×	`times-frac_binary64`
407×	`unswap-sqr_binary64`
391×	`fma-def_binary64`
303×	`sub-neg_binary64`
271×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1596
1	299	1542
2	972	1377
3	4484	1335

Stop Event

1×	node limit

Counts

263 → 239

Calls

Call 1

Inputs
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 -1 (pow.f64 f 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6)))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6))))) (/.f64 1 (pow.f64 f 2)))
(/.f64 1 (pow.f64 n 2))
(+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4))))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 6) (pow.f64 n 8)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))))
(/.f64 1 (pow.f64 n 2))
(+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4))))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 6) (pow.f64 n 8)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))))
(/.f64 1 (pow.f64 n 2))
(+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4))))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 6) (pow.f64 n 8)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))))
(/.f64 -1 (pow.f64 f 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6)))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6))))) (/.f64 1 (pow.f64 f 2)))
(/.f64 -1 (pow.f64 f 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6)))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6))))) (/.f64 1 (pow.f64 f 2)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1)) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1)) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))

Outputs
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (neg.f64 (/.f64 n (*.f64 f f))) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (/.f64 n (*.f64 f f)))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (.f64 -1 (+.f64 (/.f64 n (.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3)))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (.f64 f f)) (/.f64 (.f64 n n) (pow.f64 f 3))) (/.f64 -1 f))
(+.f64 (.f64 (/.f64 n (.f64 f f)) (-.f64 -1 (/.f64 n f))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (.f64 f f))))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(-.f64 (fma.f64 -1 (/.f64 n (.f64 f f)) (.f64 -1 (+.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) (.f64 f f)) (/.f64 (.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (.f64 (/.f64 n (.f64 f f)) (-.f64 -1 (/.f64 n f))) (-.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (/.f64 -1 f)))
(.f64 (fma.f64 (/.f64 n f) (/.f64 n f) 1) (-.f64 (/.f64 -1 f) (/.f64 n (.f64 f f))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (.f64 n n)) (/.f64 (.f64 f f) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (.f64 n n))) (+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (.f64 n n)) (+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (/.f64 1 n) (+.f64 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (.f64 (/.f64 f (.f64 n n)) (+.f64 (/.f64 f n) (fma.f64 (/.f64 f n) (/.f64 f n) 1))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (.f64 n n)) (/.f64 (.f64 f f) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (.f64 n n))) (+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (.f64 n n)) (+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (/.f64 1 n) (+.f64 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (.f64 (/.f64 f (.f64 n n)) (+.f64 (/.f64 f n) (fma.f64 (/.f64 f n) (/.f64 f n) 1))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (.f64 n n)) (/.f64 (.f64 f f) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (.f64 n n))) (+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (.f64 n n)) (+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (/.f64 1 n) (+.f64 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (.f64 (/.f64 f (.f64 n n)) (+.f64 (/.f64 f n) (fma.f64 (/.f64 f n) (/.f64 f n) 1))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (neg.f64 (/.f64 n (*.f64 f f))) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (/.f64 n (*.f64 f f)))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (.f64 -1 (+.f64 (/.f64 n (.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3)))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (.f64 f f)) (/.f64 (.f64 n n) (pow.f64 f 3))) (/.f64 -1 f))
(+.f64 (.f64 (/.f64 n (.f64 f f)) (-.f64 -1 (/.f64 n f))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (.f64 f f))))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(-.f64 (fma.f64 -1 (/.f64 n (.f64 f f)) (.f64 -1 (+.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) (.f64 f f)) (/.f64 (.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (.f64 (/.f64 n (.f64 f f)) (-.f64 -1 (/.f64 n f))) (-.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (/.f64 -1 f)))
(.f64 (fma.f64 (/.f64 n f) (/.f64 n f) 1) (-.f64 (/.f64 -1 f) (/.f64 n (.f64 f f))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (neg.f64 (/.f64 n (*.f64 f f))) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (/.f64 n (*.f64 f f)))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (.f64 -1 (+.f64 (/.f64 n (.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3)))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (.f64 f f)) (/.f64 (.f64 n n) (pow.f64 f 3))) (/.f64 -1 f))
(+.f64 (.f64 (/.f64 n (.f64 f f)) (-.f64 -1 (/.f64 n f))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (.f64 f f))))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(-.f64 (fma.f64 -1 (/.f64 n (.f64 f f)) (.f64 -1 (+.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) (.f64 f f)) (/.f64 (.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (.f64 (/.f64 n (.f64 f f)) (-.f64 -1 (/.f64 n f))) (-.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (/.f64 -1 f)))
(.f64 (fma.f64 (/.f64 n f) (/.f64 n f) 1) (-.f64 (/.f64 -1 f) (/.f64 n (.f64 f f))))
(/.f64 -1 (pow.f64 f 2))
(/.f64 -1 (*.f64 f f))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (neg.f64 (/.f64 (.f64 n n) (pow.f64 f 4))) (/.f64 1 (.f64 f f)))
(fma.f64 -1 (/.f64 n (/.f64 (pow.f64 f 4) n)) (/.f64 -1 (*.f64 f f)))
(-.f64 (/.f64 -1 (.f64 f f)) (.f64 (/.f64 n (pow.f64 f 4)) n))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6)))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 n n) (pow.f64 f 4)) (/.f64 (pow.f64 n 4) (pow.f64 f 6)))) (/.f64 1 (*.f64 f f)))
(fma.f64 -1 (+.f64 (/.f64 n (/.f64 (pow.f64 f 4) n)) (/.f64 (pow.f64 n 4) (pow.f64 f 6))) (/.f64 -1 (*.f64 f f)))
(-.f64 (/.f64 -1 (.f64 f f)) (+.f64 (.f64 (/.f64 n (pow.f64 f 4)) n) (/.f64 (pow.f64 n 4) (pow.f64 f 6))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6))))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (fma.f64 -1 (/.f64 (.f64 n n) (pow.f64 f 4)) (.f64 -1 (+.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 8)) (/.f64 (pow.f64 n 4) (pow.f64 f 6))))) (/.f64 1 (*.f64 f f)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 n 4)) (pow.f64 f 6)) (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (/.f64 n (/.f64 (pow.f64 f 4) n))) (/.f64 -1 (*.f64 f f)))
(fma.f64 -1 (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 6)) (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (-.f64 (/.f64 -1 (.f64 f f)) (.f64 (/.f64 n (pow.f64 f 4)) n)))
(-.f64 (-.f64 (/.f64 -1 (.f64 f f)) (.f64 (/.f64 n (pow.f64 f 4)) n)) (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 6)) (/.f64 (pow.f64 n 6) (pow.f64 f 8))))
(/.f64 1 (pow.f64 n 2))
(/.f64 1 (*.f64 n n))
(+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))
(+.f64 (/.f64 1 (.f64 n n)) (/.f64 (.f64 f f) (pow.f64 n 4)))
(+.f64 (/.f64 1 (.f64 n n)) (.f64 (/.f64 f (pow.f64 n 4)) f))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4))))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (.f64 (/.f64 f (pow.f64 n 4)) f) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (.f64 (/.f64 f (pow.f64 n 4)) f) (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 6) (pow.f64 n 8)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))) (/.f64 (pow.f64 f 6) (pow.f64 n 8))))
(+.f64 (+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (pow.f64 f 4) (pow.f64 n 6)))) (/.f64 (pow.f64 f 6) (pow.f64 n 8)))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (+.f64 (.f64 (/.f64 f (pow.f64 n 4)) f) (/.f64 (pow.f64 f 6) (pow.f64 n 8)))))
(/.f64 1 (pow.f64 n 2))
(/.f64 1 (*.f64 n n))
(+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))
(+.f64 (/.f64 1 (.f64 n n)) (/.f64 (.f64 f f) (pow.f64 n 4)))
(+.f64 (/.f64 1 (.f64 n n)) (.f64 (/.f64 f (pow.f64 n 4)) f))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4))))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (.f64 (/.f64 f (pow.f64 n 4)) f) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (.f64 (/.f64 f (pow.f64 n 4)) f) (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 6) (pow.f64 n 8)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))) (/.f64 (pow.f64 f 6) (pow.f64 n 8))))
(+.f64 (+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (pow.f64 f 4) (pow.f64 n 6)))) (/.f64 (pow.f64 f 6) (pow.f64 n 8)))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (+.f64 (.f64 (/.f64 f (pow.f64 n 4)) f) (/.f64 (pow.f64 f 6) (pow.f64 n 8)))))
(/.f64 1 (pow.f64 n 2))
(/.f64 1 (*.f64 n n))
(+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))
(+.f64 (/.f64 1 (.f64 n n)) (/.f64 (.f64 f f) (pow.f64 n 4)))
(+.f64 (/.f64 1 (.f64 n n)) (.f64 (/.f64 f (pow.f64 n 4)) f))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4))))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (.f64 (/.f64 f (pow.f64 n 4)) f) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (.f64 (/.f64 f (pow.f64 n 4)) f) (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))))
(+.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 6) (pow.f64 n 8)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (/.f64 (pow.f64 f 2) (pow.f64 n 4)))))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (/.f64 (pow.f64 f 4) (pow.f64 n 6))) (/.f64 (pow.f64 f 6) (pow.f64 n 8))))
(+.f64 (+.f64 (/.f64 (.f64 f f) (pow.f64 n 4)) (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (pow.f64 f 4) (pow.f64 n 6)))) (/.f64 (pow.f64 f 6) (pow.f64 n 8)))
(+.f64 (/.f64 1 (.f64 n n)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 6)) (+.f64 (.f64 (/.f64 f (pow.f64 n 4)) f) (/.f64 (pow.f64 f 6) (pow.f64 n 8)))))
(/.f64 -1 (pow.f64 f 2))
(/.f64 -1 (*.f64 f f))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (neg.f64 (/.f64 (.f64 n n) (pow.f64 f 4))) (/.f64 1 (.f64 f f)))
(fma.f64 -1 (/.f64 n (/.f64 (pow.f64 f 4) n)) (/.f64 -1 (*.f64 f f)))
(-.f64 (/.f64 -1 (.f64 f f)) (.f64 (/.f64 n (pow.f64 f 4)) n))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6)))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 n n) (pow.f64 f 4)) (/.f64 (pow.f64 n 4) (pow.f64 f 6)))) (/.f64 1 (*.f64 f f)))
(fma.f64 -1 (+.f64 (/.f64 n (/.f64 (pow.f64 f 4) n)) (/.f64 (pow.f64 n 4) (pow.f64 f 6))) (/.f64 -1 (*.f64 f f)))
(-.f64 (/.f64 -1 (.f64 f f)) (+.f64 (.f64 (/.f64 n (pow.f64 f 4)) n) (/.f64 (pow.f64 n 4) (pow.f64 f 6))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6))))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (fma.f64 -1 (/.f64 (.f64 n n) (pow.f64 f 4)) (.f64 -1 (+.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 8)) (/.f64 (pow.f64 n 4) (pow.f64 f 6))))) (/.f64 1 (*.f64 f f)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 n 4)) (pow.f64 f 6)) (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (/.f64 n (/.f64 (pow.f64 f 4) n))) (/.f64 -1 (*.f64 f f)))
(fma.f64 -1 (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 6)) (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (-.f64 (/.f64 -1 (.f64 f f)) (.f64 (/.f64 n (pow.f64 f 4)) n)))
(-.f64 (-.f64 (/.f64 -1 (.f64 f f)) (.f64 (/.f64 n (pow.f64 f 4)) n)) (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 6)) (/.f64 (pow.f64 n 6) (pow.f64 f 8))))
(/.f64 -1 (pow.f64 f 2))
(/.f64 -1 (*.f64 f f))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (neg.f64 (/.f64 (.f64 n n) (pow.f64 f 4))) (/.f64 1 (.f64 f f)))
(fma.f64 -1 (/.f64 n (/.f64 (pow.f64 f 4) n)) (/.f64 -1 (*.f64 f f)))
(-.f64 (/.f64 -1 (.f64 f f)) (.f64 (/.f64 n (pow.f64 f 4)) n))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6)))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 n n) (pow.f64 f 4)) (/.f64 (pow.f64 n 4) (pow.f64 f 6)))) (/.f64 1 (*.f64 f f)))
(fma.f64 -1 (+.f64 (/.f64 n (/.f64 (pow.f64 f 4) n)) (/.f64 (pow.f64 n 4) (pow.f64 f 6))) (/.f64 -1 (*.f64 f f)))
(-.f64 (/.f64 -1 (.f64 f f)) (+.f64 (.f64 (/.f64 n (pow.f64 f 4)) n) (/.f64 (pow.f64 n 4) (pow.f64 f 6))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 6))))) (/.f64 1 (pow.f64 f 2)))
(-.f64 (fma.f64 -1 (/.f64 (.f64 n n) (pow.f64 f 4)) (.f64 -1 (+.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 8)) (/.f64 (pow.f64 n 4) (pow.f64 f 6))))) (/.f64 1 (*.f64 f f)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 n 4)) (pow.f64 f 6)) (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (/.f64 n (/.f64 (pow.f64 f 4) n))) (/.f64 -1 (*.f64 f f)))
(fma.f64 -1 (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 6)) (/.f64 (pow.f64 n 6) (pow.f64 f 8))) (-.f64 (/.f64 -1 (.f64 f f)) (.f64 (/.f64 n (pow.f64 f 4)) n)))
(-.f64 (-.f64 (/.f64 -1 (.f64 f f)) (.f64 (/.f64 n (pow.f64 f 4)) n)) (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 6)) (/.f64 (pow.f64 n 6) (pow.f64 f 8))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1)) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (-.f64 (fma.f64 2 (/.f64 f n) 1) (neg.f64 (/.f64 (.f64 f f) (.f64 n n)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (+.f64 (/.f64 f (/.f64 (.f64 n n) f)) (/.f64 f (/.f64 (.f64 n n) f))))
(fma.f64 2 (/.f64 f n) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(+.f64 1 (.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 f f) (.f64 n n)))) (neg.f64 (/.f64 (.f64 f f) (.f64 n n))))
(+.f64 (/.f64 f (/.f64 (.f64 n n) f)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 f (/.f64 (.f64 n n) f)))))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1)) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (-.f64 (fma.f64 2 (/.f64 f n) 1) (neg.f64 (/.f64 (.f64 f f) (.f64 n n)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (+.f64 (/.f64 f (/.f64 (.f64 n n) f)) (/.f64 f (/.f64 (.f64 n n) f))))
(fma.f64 2 (/.f64 f n) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(+.f64 1 (.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 f f) (.f64 n n)))) (neg.f64 (/.f64 (.f64 f f) (.f64 n n))))
(+.f64 (/.f64 f (/.f64 (.f64 n n) f)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 f (/.f64 (.f64 n n) f)))))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (-.f64 (fma.f64 2 (/.f64 f n) 1) (neg.f64 (/.f64 (.f64 f f) (.f64 n n)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (+.f64 (/.f64 f (/.f64 (.f64 n n) f)) (/.f64 f (/.f64 (.f64 n n) f))))
(fma.f64 2 (/.f64 f n) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(+.f64 1 (.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 f f) (.f64 n n)))) (neg.f64 (/.f64 (.f64 f f) (.f64 n n))))
(+.f64 (/.f64 f (/.f64 (.f64 n n) f)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 f (/.f64 (.f64 n n) f)))))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (.f64 2 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 f (-.f64 n f))
✓	0.0b	(/.f64 n (-.f64 n f))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series7.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	n	@	-inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
1.0ms	n	@	inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
1.0ms	n	@	0	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
0.0ms	f	@	-inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
0.0ms	f	@	inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))

rewrite85.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`fma-def_binary64`
501×	`log-prod_binary64`
392×	`pow-prod-down_binary64`
261×	`fma-neg_binary64`
256×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	173	27
2	3042	27

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 n (-.f64 n f))
(/.f64 f (-.f64 n f))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) 1) (/.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 2) (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 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simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-def_binary64`
592×	`times-frac_binary64`
506×	`sub-neg_binary64`
387×	`div-sub_binary64`
341×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1459
1	338	1382
2	1150	1104
3	5915	1086

Stop Event

1×	node limit

Counts

287 → 271

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓	0.0b	(/.f64 (-.f64 n f) (+.f64 n f))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	f	@	inf	(/.f64 (-.f64 n f) (+.f64 n f))
1.0ms	n	@	0	(/.f64 (-.f64 n f) (+.f64 n f))
1.0ms	n	@	inf	(/.f64 (-.f64 n f) (+.f64 n f))
0.0ms	n	@	-inf	(/.f64 (-.f64 n f) (+.f64 n f))
0.0ms	f	@	0	(/.f64 (-.f64 n f) (+.f64 n f))

rewrite117.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
483×	`log-prod_binary64`
306×	`pow-prod-down_binary64`
253×	`fma-def_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	184	20
2	2798	20

Stop Event

1×	node limit

Counts

2 → 289

Calls

Call 1

Inputs
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 f (+.f64 n f)))) (sqrt.f64 (/.f64 f (+.f64 n f))) (/.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f)))) (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 n f) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 1 (+.f64 n f)) f))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 n f))) f (*.f64 (/.f64 1 (+.f64 n f)) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 1 (+.f64 n f)) f))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 n f))) f (*.f64 (/.f64 1 (+.f64 n f)) f)))))) 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simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

719×	`div-sub_binary64`
595×	`sub-neg_binary64`
489×	`associate-/l*_binary64`
451×	`associate-/r*_binary64`
417×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1005
1	438	873
2	1606	669
3	6232	669

Stop Event

1×	node limit

Counts

337 → 333

Calls

Call 1

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

Outputs
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 2 (/.f64 n f))) 1)
(+.f64 (/.f64 (.f64 -2 (.f64 n n)) (*.f64 f f)) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (.f64 (/.f64 n f) (-.f64 (.f64 (/.f64 n f) -2) -2)))
(+.f64 -1 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) -2) 2)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(+.f64 (.f64 (/.f64 n f) (-.f64 (.f64 (/.f64 n f) -2) -2)) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
(+.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(+.f64 1 (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f n)))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(fma.f64 -2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 -1 f) f)) (pow.f64 n 2))) (.f64 -1 (/.f64 f n)))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 (neg.f64 f) n)) (/.f64 f n)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 f n) (.f64 -2 (/.f64 f n)))) (/.f64 f n)) (/.f64 f n))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 -2 (.f64 (/.f64 2 n) f))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 -1 f) f)) (pow.f64 n 3)) (.f64 -1 (/.f64 f n))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 (-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 f n)) (.f64 (/.f64 f n) (.f64 -2 (/.f64 f n)))) (-.f64 1 (/.f64 f n)))
(+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 f n) 3) (.f64 (/.f64 f n) (+.f64 -2 (.f64 (/.f64 2 n) f)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(+.f64 1 (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f n)))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(fma.f64 -2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 -1 f) f)) (pow.f64 n 2))) (.f64 -1 (/.f64 f n)))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 (neg.f64 f) n)) (/.f64 f n)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 f n) (.f64 -2 (/.f64 f n)))) (/.f64 f n)) (/.f64 f n))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 -2 (.f64 (/.f64 2 n) f))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 -1 f) f)) (pow.f64 n 3)) (.f64 -1 (/.f64 f n))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 (-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 f n)) (.f64 (/.f64 f n) (.f64 -2 (/.f64 f n)))) (-.f64 1 (/.f64 f n)))
(+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 f n) 3) (.f64 (/.f64 f n) (+.f64 -2 (.f64 (/.f64 2 n) f)))))
1
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f n)))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(fma.f64 -2 (/.f64 f n) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -2 (/.f64 f n))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 (neg.f64 f) n)) (/.f64 f n)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 f n) (.f64 -2 (/.f64 f n)))) (/.f64 f n)) (/.f64 f n))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 -2 (.f64 (/.f64 2 n) f))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 (-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 f n)) (.f64 (/.f64 f n) (.f64 -2 (/.f64 f n)))) (-.f64 1 (/.f64 f n)))
(+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 f n) 3) (.f64 (/.f64 f n) (+.f64 -2 (.f64 (/.f64 2 n) f)))))
-1
(-.f64 (/.f64 n f) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (/.f64 n f)) (+.f64 1 (.f64 -1 (/.f64 n f))))
(+.f64 (/.f64 (.f64 -2 (.f64 n n)) (*.f64 f f)) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (.f64 (/.f64 n f) (-.f64 (.f64 (/.f64 n f) -2) -2)))
(+.f64 -1 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) -2) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (/.f64 n f) (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3)))) (+.f64 1 (.f64 -1 (/.f64 n f))))
(+.f64 (fma.f64 -2 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(+.f64 (.f64 (/.f64 n f) (-.f64 (.f64 (/.f64 n f) -2) -2)) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
(+.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 n) n) f)) 1)
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 n) n) f)) (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2))) 1)
(+.f64 (/.f64 (.f64 -2 (.f64 n n)) (*.f64 f f)) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (.f64 (/.f64 n f) (-.f64 (.f64 (/.f64 n f) -2) -2)))
(+.f64 -1 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) -2) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 n) n) f)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3))) (/.f64 (.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(+.f64 (.f64 (/.f64 n f) (-.f64 (.f64 (/.f64 n f) -2) -2)) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
(+.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 (/.f64 2 n) f))))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 (/.f64 f (/.f64 (.f64 n n) (-.f64 f (neg.f64 f)))) 1) (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 (/.f64 2 n) f)))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 (/.f64 2 n) f))))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 (/.f64 f (/.f64 (.f64 n n) (-.f64 f (neg.f64 f)))) 1) (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 (/.f64 2 n) f)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 (/.f64 2 n) f))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 f (/.f64 (.f64 n n) (-.f64 f (neg.f64 f)))) 1) (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 (/.f64 2 n) f)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

eval522.0ms (12.3%)

Compiler: Compiled 27885 to 8924 computations (68% saved)

prune191.0ms (4.5%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1016	2	1018
Fresh	2	0	2
Picked	0	1	1
Done	0	7	7
Total	1018	10	1028

Error

Counts

1028 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	29.9b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
	30.6b	-1
✓	33.2b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	28.7b	(.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f)) (+.f64 f n))
	33.9b	1
✓	33.9b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))

Compiler

Compiled 102 to 66 computations (35.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	8	8
Total	10	10

Error

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	29.9b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
	30.6b	-1
✓	33.2b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	28.7b	(.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f)) (+.f64 f n))
	33.9b	1
✓	33.9b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))

Compiler

Compiled 102 to 66 computations (35.3% saved)

regimes34.0ms (0.8%)

Counts

16 → 1

Calls

Call 1

Inputs
-1
1
1
1
-1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
(.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))

Calls

4 calls:

14.0ms	f
9.0ms	n
5.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Error	Segments	Branch
0.0b	1	`f`
0.0b	1	`n`
0.0b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`
0.0b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 153 to 72 computations (52.9% saved)

regimes24.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

Inputs
-1
1
1
1
-1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))

Calls

4 calls:

9.0ms	f
7.0ms	n
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Error	Segments	Branch
0.0b	1	`f`
0.0b	1	`n`
0.0b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`
0.0b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 80 to 46 computations (42.5% saved)

regimes34.0ms (0.8%)

Counts

7 → 3

Calls

Call 1

Inputs
-1
1
1
1
-1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)

Outputs
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Calls

2 calls:

19.0ms	f
13.0ms	n

Results

Error	Segments	Branch
15.6b	3	`f`
13.5b	3	`n`

Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch37.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.7010874972973163e-59	1.0388460111187641e-44
20.0ms	-1.1858711777668912e+32	-4.0836141530902315e+23

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes43.0ms (1%)

Counts

6 → 3

Calls

Call 1

Inputs
-1
1
1
1
-1
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Outputs
(+.f64 (*.f64 2 (/.f64 f n)) 1)
-1
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Calls

2 calls:

22.0ms	n
19.0ms	f

Results

Error	Segments	Branch
16.1b	3	`f`
13.7b	3	`n`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch36.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.7010874972973163e-59	1.0388460111187641e-44
17.0ms	-1.1858711777668912e+32	-4.0836141530902315e+23

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes63.0ms (1.5%)

Accuracy

Total -49.0b remaining (-348.5%)

Threshold costs -49.0b (-348.5%)

Counts

5 → 3

Calls

Call 1

Inputs
-1
1
1
1
-1

Outputs
1
-1
1

Calls

2 calls:

50.0ms	n
12.0ms	f

Results

Error	Segments	Branch
16.4b	3	`f`
14.0b	3	`n`

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch34.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	1.7010874972973163e-59	1.0388460111187641e-44
18.0ms	-1.1858711777668912e+32	-4.0836141530902315e+23

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	117
1	41	117
2	45	117
3	47	117
4	48	117

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -118587117776689116575117325893632) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 3847118657959643/226156424291633194186662080095093570025917938800079226639565593765455331328) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -118587117776689116575117325893632) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 3847118657959643/226156424291633194186662080095093570025917938800079226639565593765455331328) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -118587117776689116575117325893632) 1 (if (<=.f64 n 3847118657959643/226156424291633194186662080095093570025917938800079226639565593765455331328) -1 1))
-1

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 n -118587117776689116575117325893632) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 3847118657959643/226156424291633194186662080095093570025917938800079226639565593765455331328) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -118587117776689116575117325893632) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 3847118657959643/226156424291633194186662080095093570025917938800079226639565593765455331328) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -118587117776689116575117325893632) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 3847118657959643/226156424291633194186662080095093570025917938800079226639565593765455331328) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -118587117776689116575117325893632) 1 (if (<=.f64 n 3847118657959643/226156424291633194186662080095093570025917938800079226639565593765455331328) -1 1))
-1

Compiler

Compiled 94 to 65 computations (30.9% saved)

soundness250.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
451×	`times-frac_binary64`
308×	`div-sub_binary64`
194×	`associate-/l*_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	82	12
4	182	12
5	330	12
6	818	10
7	2533	10
8	3446	10
9	4154	10
10	4275	10
11	4318	10
12	4328	10
13	4328	10

Stop Event

1×

saturated

Compiler

Compiled 150 to 98 computations (34.7% saved)

end67.0ms (1.6%)

Compiler: Compiled 84 to 53 computations (36.9% saved)

Details

analyze82.0ms (1.9%)

sample847.0ms (19.9%)

preprocess119.0ms (2.8%)

simplify101.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite71.0ms (1.7%)

simplify159.0ms (3.7%)

eval15.0ms (0.4%)

prune13.0ms (0.3%)

localize36.0ms (0.8%)

series5.0ms (0.1%)

rewrite80.0ms (1.9%)

simplify64.0ms (1.5%)

localize8.0ms (0.2%)

series6.0ms (0.1%)

rewrite41.0ms (1%)

simplify6.0ms (0.1%)

localize8.0ms (0.2%)

localize14.0ms (0.3%)

series5.0ms (0.1%)

rewrite97.0ms (2.3%)

simplify91.0ms (2.1%)

localize13.0ms (0.3%)

series8.0ms (0.2%)

rewrite92.0ms (2.2%)

simplify82.0ms (1.9%)

eval177.0ms (4.2%)

prune96.0ms (2.3%)

localize18.0ms (0.4%)

series7.0ms (0.2%)

rewrite87.0ms (2%)

simplify67.0ms (1.6%)

localize9.0ms (0.2%)

series7.0ms (0.2%)

rewrite85.0ms (2%)

simplify71.0ms (1.7%)

localize9.0ms (0.2%)

series7.0ms (0.2%)

rewrite117.0ms (2.8%)

simplify68.0ms (1.6%)

eval522.0ms (12.3%)

prune191.0ms (4.5%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes34.0ms (0.8%)

regimes24.0ms (0.6%)

regimes34.0ms (0.8%)

bsearch37.0ms (0.9%)

regimes43.0ms (1%)

bsearch36.0ms (0.8%)

regimes63.0ms (1.5%)

bsearch34.0ms (0.8%)

simplify8.0ms (0.2%)

soundness250.0ms (5.9%)

end67.0ms (1.6%)

Profiling