Details

analyze125.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
71.1%	71%	28.9%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
85%	84.9%	15%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample848.0ms (11.7%)

Results

837.0ms

8256×

body

256

valid

Bogosity

preprocess114.0ms (1.6%)

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)

simplify104.0ms (1.4%)

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 (0.1%)

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))

rewrite49.0ms (0.7%)

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))))))))

simplify53.0ms (0.7%)

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))

eval14.0ms (0.2%)

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

prune15.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	48	9	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	10	58

Error

Counts

58 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.3b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	31.1b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	1.3b	(.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
▶	32.6b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
	31.8b	1
▶	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
▶	33.0b	(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
	33.2b	-1
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	42.5b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))

Compiler

Compiled 207 to 137 computations (33.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
1.0ms	f	@	-inf	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
1.0ms	n	@	inf	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
1.0ms	f	@	inf	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
1.0ms	f	@	-inf	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite154.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`prod-diff_binary64`
481×	`log-prod_binary64`
326×	`fma-def_binary64`
257×	`pow2_binary64`
227×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	189	20
2	2906	20

Stop Event

1×	node limit

Counts

2 → 275

Calls

Call 1

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

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

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simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-/l*_binary64`
720×	`associate-/r*_binary64`
295×	`associate-l_binary64`
261×	`fma-neg_binary64`
259×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1464
1	635	1096
2	2648	756

Stop Event

1×	node limit

Counts

323 → 325

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

localize16.0ms (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)

series7.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite61.0ms (0.8%)

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))))))))

simplify11.0ms (0.2%)

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	0.0b	(*.f64 -2 (/.f64 n f))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series11.0ms (0.2%)

Counts

2 → 6

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	n	@	0	(*.f64 -2 (/.f64 n f))
1.0ms	n	@	inf	(*.f64 -2 (/.f64 n f))
1.0ms	f	@	0	(*.f64 -2 (/.f64 n f))
1.0ms	f	@	inf	(*.f64 -2 (/.f64 n f))
1.0ms	n	@	-inf	(*.f64 -2 (/.f64 n f))

rewrite120.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
818×	`add-log-exp_binary64`
816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
803×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	174	15
2	2226	15

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	10	24
2	14	24
3	18	24
4	19	24

Stop Event

1×

saturated

Counts

61 → 57

Calls

Call 1

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

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

localize45.0ms (0.6%)

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 n f))

Compiler

Compiled 36 to 17 computations (52.8% saved)

series12.0ms (0.2%)

Counts

2 → 30

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(+.f64 1 (/.f64 n f))
2.0ms	f	@	-inf	(*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))
1.0ms	n	@	0	(*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))
1.0ms	n	@	-inf	(*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))
1.0ms	n	@	inf	(*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))

rewrite122.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`pow1_binary64`
795×	`add-log-exp_binary64`
795×	`log1p-expm1-u_binary64`
795×	`expm1-log1p-u_binary64`
779×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	20
2	2104	20

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify95.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1254×	`fma-def_binary64`
1248×	`associate-/r/_binary64`
570×	`unswap-sqr_binary64`
560×	`times-frac_binary64`
350×	`sqr-pow_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	11	345
1	20	345
2	32	291
3	78	291
4	322	291
5	2670	291
6	4589	255
7	5523	255
8	5964	255
9	6281	255
10	6637	255

Stop Event

1×	node limit

Counts

101 → 78

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (/.f64 n f))
	0.1b	(*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))
✓	0.3b	(pow.f64 (/.f64 n f) 3)
✓	9.8b	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)))

Compiler

Compiled 63 to 29 computations (54% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(pow.f64 (/.f64 n f) 3)
1.0ms	n	@	inf	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)))
1.0ms	f	@	-inf	(pow.f64 (/.f64 n f) 3)
1.0ms	n	@	0	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)))
1.0ms	n	@	-inf	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)))

rewrite223.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`fma-def_binary64`
532×	`log-prod_binary64`
413×	`pow-prod-down_binary64`
284×	`pow2_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	229	27
2	3244	27

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1145×	`associate-/l/_binary64`
535×	`fma-def_binary64`
495×	`unswap-sqr_binary64`
488×	`sqr-pow_binary64`
349×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	732
1	41	732
2	93	555
3	340	531
4	2118	525
5	4038	525
6	4808	525
7	5216	525
8	5549	525
9	6125	525

Stop Event

1×	node limit

Counts

162 → 121

Calls

Call 1

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

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

eval326.0ms (4.5%)

Compiler: Compiled 20173 to 8076 computations (60% saved)

prune108.0ms (1.5%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	673	6	679
Fresh	4	0	4
Picked	0	1	1
Done	1	4	5
Total	678	11	689

Error

Counts

689 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.3b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	31.1b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	31.8b	1
▶	1.3b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))))
▶	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
	33.2b	-1
✓	32.6b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
▶	0.0b	(pow.f64 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) -1)
✓	33.0b	(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
▶	32.8b	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 127 to 79 computations (37.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite123.0ms (1.7%)

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

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simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

717×	`div-sub_binary64`
592×	`sub-neg_binary64`
489×	`associate-/l*_binary64`
450×	`associate-/r*_binary64`
417×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1005
1	438	873
2	1608	669
3	6210	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 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)
-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)

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 n f) (-.f64 f n))
✓	4.1b	(-.f64 (.f64 f f) (.f64 n n))
✓	32.1b	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))

Compiler

Compiled 45 to 9 computations (80% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	n	@	inf	(-.f64 (.f64 f f) (.f64 n n))
1.0ms	f	@	inf	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
1.0ms	n	@	inf	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
1.0ms	f	@	-inf	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
1.0ms	n	@	-inf	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))

rewrite102.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`fma-def_binary64`
705×	`log-prod_binary64`
357×	`fma-neg_binary64`
229×	`log-div_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	246	30
2	4270	30

Stop Event

1×	node limit

Counts

3 → 292

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
443×	`div-sub_binary64`
359×	`times-frac_binary64`
308×	`associate-/l*_binary64`
279×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1137
1	385	1032
2	1432	834
3	7130	834

Stop Event

1×	node limit

Counts

364 → 333

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))))
✓	0.2b	(/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f)))
✓	0.5b	(pow.f64 (cbrt.f64 (+.f64 n f)) 2)
✓	0.5b	(cbrt.f64 (+.f64 n f))

Compiler

Compiled 44 to 12 computations (72.7% saved)

series24.0ms (0.3%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	f	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))))
2.0ms	n	@	0	(/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f)))
2.0ms	f	@	0	(/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f)))
2.0ms	n	@	inf	(/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f)))
2.0ms	f	@	inf	(/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f)))

rewrite121.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`prod-diff_binary64`
608×	`log-prod_binary64`
257×	`fma-def_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	233	37
2	3445	37

Stop Event

1×	node limit

Counts

4 → 269

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f)))) (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 n f) 1/6) (pow.f64 (+.f64 n f) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 n f)) 1/3) (pow.f64 (sqrt.f64 (+.f64 n f)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (cbrt.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (.f64 n n) (.f64 f f))) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 n f) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 n f) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 n f)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 n f))) 1))))))
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simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

503×	`distribute-rgt-in_binary64`
487×	`distribute-lft-in_binary64`
337×	`associate-r_binary64`
292×	`associate-l_binary64`
257×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	2130
1	953	2030
2	3918	1892

Stop Event

1×	node limit

Counts

317 → 340

Calls

Call 1

Inputs
(pow.f64 f 1/3)
(+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (pow.f64 f 1/3))
(+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (+.f64 (pow.f64 f 1/3) (.f64 -1/9 (.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9)))))
(+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (+.f64 (pow.f64 f 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9))))))
(pow.f64 n 1/3)
(+.f64 (pow.f64 n 1/3) (.f64 1/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))))
(+.f64 (pow.f64 n 1/3) (+.f64 (.f64 1/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (.f64 -1/9 (.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9)))))
(+.f64 (pow.f64 n 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (.f64 -1/9 (.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))))))
(pow.f64 (pow.f64 f 2) 1/3)
(+.f64 (.f64 2/3 (.f64 n (pow.f64 (*.f64 f 1) 1/9))) (pow.f64 (pow.f64 f 2) 1/3))
(+.f64 (.f64 2/3 (.f64 n (pow.f64 (.f64 f 1) 1/9))) (+.f64 (pow.f64 (pow.f64 f 2) 1/3) (.f64 (pow.f64 n 2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9))))))
(+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 f) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 f))))) (+.f64 (.f64 2/3 (.f64 n (pow.f64 (.f64 f 1) 1/9))) (+.f64 (pow.f64 (pow.f64 f 2) 1/3) (.f64 (pow.f64 n 2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9)))))))
(pow.f64 (pow.f64 n 2) 1/3)
(+.f64 (.f64 2/3 (.f64 f (pow.f64 (*.f64 n 1) 1/9))) (pow.f64 (pow.f64 n 2) 1/3))
(+.f64 (.f64 2/3 (.f64 f (pow.f64 (.f64 n 1) 1/9))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9)))) (pow.f64 (pow.f64 n 2) 1/3)))
(+.f64 (.f64 2/3 (.f64 f (pow.f64 (.f64 n 1) 1/9))) (+.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 n) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 n))))) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9)))) (pow.f64 (pow.f64 n 2) 1/3))))
(.f64 -1 (pow.f64 (.f64 (pow.f64 f 2) 1) 1/3))
(+.f64 (.f64 -1 (pow.f64 (.f64 (pow.f64 f 2) 1) 1/3)) (.f64 n (+.f64 (pow.f64 (/.f64 1 f) 1/3) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9)))))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 f 5) 1) 1/3) (-.f64 (/.f64 1 (pow.f64 f 3)) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 f 35)) 1/9))))) (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 f 16)) 1/9)))) (+.f64 (.f64 -1 (pow.f64 (.f64 (pow.f64 f 2) 1) 1/3)) (.f64 n (+.f64 (pow.f64 (/.f64 1 f) 1/3) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9))))))
(+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 f 2) 1) 1/3) (-.f64 (/.f64 1 (pow.f64 f 3)) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 f 35)) 1/9))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 f 5) 1) 1/3) (+.f64 (/.f64 1 (pow.f64 f 4)) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 f 16)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 13)) 1/9) (-.f64 (/.f64 1 (pow.f64 f 3)) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 f 35)) 1/9))))))))))) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 f 5) 1) 1/3) (-.f64 (/.f64 1 (pow.f64 f 3)) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 f 35)) 1/9))))) (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 f 16)) 1/9)))) (+.f64 (.f64 -1 (pow.f64 (.f64 (pow.f64 f 2) 1) 1/3)) (.f64 n (+.f64 (pow.f64 (/.f64 1 f) 1/3) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9)))))))
(pow.f64 (pow.f64 n 2) 1/3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 n) 1/3)) (*.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))) f) (pow.f64 (pow.f64 n 2) 1/3))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 n) 1/3)) (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))) f) (+.f64 (pow.f64 (pow.f64 n 2) 1/3) (.f64 (pow.f64 f 2) (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 n 5) 1) 1/3) (-.f64 (/.f64 1 (pow.f64 n 3)) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/9)))))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 n) 1/3)) (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))) f) (+.f64 (pow.f64 (pow.f64 n 2) 1/3) (+.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 n 2) 1) 1/3) (-.f64 (/.f64 1 (pow.f64 n 3)) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/9))))) (.f64 -1/3 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 13)) 1/9) (-.f64 (/.f64 1 (pow.f64 n 3)) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/9))))) (+.f64 (/.f64 1 (pow.f64 n 4)) (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/3)))) (pow.f64 (.f64 (pow.f64 n 5) 1) 1/3))))) (.f64 (pow.f64 f 2) (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 n 5) 1) 1/3) (-.f64 (/.f64 1 (pow.f64 n 3)) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/9))))))))))
-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 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (/.f64 f n))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f))) (pow.f64 n 3)) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (/.f64 f n))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))))) (*.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
(pow.f64 f 1/3)
(cbrt.f64 f)
(+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (pow.f64 f 1/3))
(fma.f64 1/3 (.f64 n (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18))) (cbrt.f64 f))
(+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (+.f64 (pow.f64 f 1/3) (.f64 -1/9 (.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9)))))
(+.f64 (fma.f64 1/3 (.f64 n (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18))) (cbrt.f64 f)) (.f64 (.f64 -1/9 (.f64 n n)) (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18))))
(fma.f64 (.f64 1/3 n) (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18)) (fma.f64 -1/9 (.f64 (.f64 n n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18))) (cbrt.f64 f)))
(fma.f64 (.f64 1/3 n) (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18)) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (*.f64 n n))) (cbrt.f64 f)))
(+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (+.f64 (pow.f64 f 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9))))))
(+.f64 (fma.f64 1/3 (.f64 n (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18))) (cbrt.f64 f)) (fma.f64 -1/3 (.f64 (pow.f64 n 3) (.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (.f64 f f))) (.f64 (.f64 -2/9 (cbrt.f64 (/.f64 1 (.f64 f f)))) 1)) (cbrt.f64 (/.f64 1 (.f64 f f))))) (.f64 (.f64 -1/9 (.f64 n n)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)))))
(+.f64 (fma.f64 1/3 (.f64 n (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18))) (cbrt.f64 f)) (fma.f64 -1/9 (.f64 (.f64 n n) (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18))) (.f64 -1/3 (.f64 (pow.f64 n 3) (.f64 (cbrt.f64 (/.f64 1 (.f64 f f))) (fma.f64 1/27 (cbrt.f64 (/.f64 1 (.f64 f f))) (.f64 (cbrt.f64 (/.f64 1 (.f64 f f))) -2/9)))))))
(+.f64 (fma.f64 1/3 (.f64 n (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18))) (cbrt.f64 f)) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (.f64 n n))) (.f64 -1/3 (.f64 (pow.f64 n 3) (.f64 (cbrt.f64 (/.f64 1 (.f64 f f))) (.f64 (cbrt.f64 (/.f64 1 (*.f64 f f))) -5/27))))))
(pow.f64 n 1/3)
(cbrt.f64 n)
(+.f64 (pow.f64 n 1/3) (.f64 1/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))))
(+.f64 (cbrt.f64 n) (.f64 (.f64 1/3 f) (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18))))
(fma.f64 1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18))) (cbrt.f64 n))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) f)) (cbrt.f64 n))
(+.f64 (pow.f64 n 1/3) (+.f64 (.f64 1/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (.f64 -1/9 (.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9)))))
(+.f64 (cbrt.f64 n) (fma.f64 1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18))) (.f64 -1/9 (.f64 (.f64 f f) (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18))))))
(+.f64 (cbrt.f64 n) (fma.f64 1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18))) (.f64 -1/9 (.f64 (.f64 (.f64 f f) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))))
(+.f64 (cbrt.f64 n) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (.f64 f f))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) f)))))
(+.f64 (pow.f64 n 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (.f64 -1/9 (.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))))))
(+.f64 (cbrt.f64 n) (fma.f64 -1/3 (.f64 (pow.f64 f 3) (.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (.f64 n n))) (.f64 -2/9 (.f64 1 (cbrt.f64 (/.f64 1 (.f64 n n)))))) (cbrt.f64 (/.f64 1 (.f64 n n))))) (fma.f64 1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18))) (.f64 -1/9 (.f64 (.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))))))
(+.f64 (cbrt.f64 n) (fma.f64 (.f64 (.f64 -1/3 (pow.f64 f 3)) (fma.f64 1/27 (cbrt.f64 (/.f64 1 (.f64 n n))) (.f64 -2/9 (cbrt.f64 (/.f64 1 (.f64 n n)))))) (cbrt.f64 (/.f64 1 (.f64 n n))) (fma.f64 1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18))) (.f64 -1/9 (.f64 (.f64 (.f64 f f) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18))))))
(+.f64 (cbrt.f64 n) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 n n))) (.f64 (.f64 (pow.f64 f 3) (cbrt.f64 (/.f64 1 (.f64 n n)))) -5/27)) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (.f64 f f))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) f))))))
(pow.f64 (pow.f64 f 2) 1/3)
(cbrt.f64 (*.f64 f f))
(+.f64 (.f64 2/3 (.f64 n (pow.f64 (*.f64 f 1) 1/9))) (pow.f64 (pow.f64 f 2) 1/3))
(fma.f64 2/3 (.f64 n (.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (cbrt.f64 (*.f64 f f)))
(+.f64 (.f64 2/3 (.f64 n (pow.f64 (.f64 f 1) 1/9))) (+.f64 (pow.f64 (pow.f64 f 2) 1/3) (.f64 (pow.f64 n 2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9))))))
(+.f64 (fma.f64 2/3 (.f64 n (.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (cbrt.f64 (.f64 f f))) (.f64 (.f64 n n) (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)) -1/9)))
(fma.f64 2/3 (.f64 n (.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (fma.f64 (.f64 n n) (.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) -1/9)) (cbrt.f64 (.f64 f f))))
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(pow.f64 (pow.f64 n 2) 1/3)
(cbrt.f64 (*.f64 n n))
(+.f64 (.f64 2/3 (.f64 f (pow.f64 (*.f64 n 1) 1/9))) (pow.f64 (pow.f64 n 2) 1/3))
(fma.f64 2/3 (.f64 f (.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (cbrt.f64 (*.f64 n n)))
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(pow.f64 (pow.f64 n 2) 1/3)
(cbrt.f64 (*.f64 n n))
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(fma.f64 f (-.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18))) (cbrt.f64 (/.f64 1 n))) (fma.f64 (.f64 f f) (.f64 1/3 (fma.f64 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/18) (.f64 (cbrt.f64 (pow.f64 n 5)) (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18))))))) (cbrt.f64 (.f64 n n))))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 n) 1/3)) (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))) f) (+.f64 (pow.f64 (pow.f64 n 2) 1/3) (+.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 n 2) 1) 1/3) (-.f64 (/.f64 1 (pow.f64 n 3)) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/9))))) (.f64 -1/3 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 13)) 1/9) (-.f64 (/.f64 1 (pow.f64 n 3)) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/9))))) (+.f64 (/.f64 1 (pow.f64 n 4)) (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/3)))) (pow.f64 (.f64 (pow.f64 n 5) 1) 1/3))))) (.f64 (pow.f64 f 2) (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/9)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 n 5) 1) 1/3) (-.f64 (/.f64 1 (pow.f64 n 3)) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/9))))))))))
(+.f64 (fma.f64 (fma.f64 -1 (cbrt.f64 (/.f64 1 n)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))) f (cbrt.f64 (.f64 n n))) (fma.f64 (pow.f64 f 3) (.f64 -1/3 (+.f64 (.f64 (cbrt.f64 (.f64 n n)) (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18))))) (.f64 (cbrt.f64 (pow.f64 n 5)) (fma.f64 -2/3 (.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 n 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 13)) 1/18))) (+.f64 (/.f64 1 (pow.f64 n 4)) (.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 n 16))))))))) (.f64 (.f64 f f) (.f64 1/3 (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/18)) (.f64 (cbrt.f64 (pow.f64 n 5)) (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18))))))))))
(+.f64 (fma.f64 f (-.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18))) (cbrt.f64 (/.f64 1 n))) (cbrt.f64 (.f64 n n))) (fma.f64 (.f64 f f) (.f64 1/3 (fma.f64 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/18) (.f64 (cbrt.f64 (pow.f64 n 5)) (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18)))))) (.f64 (.f64 (pow.f64 f 3) -1/3) (fma.f64 (cbrt.f64 (.f64 n n)) (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18))) (.f64 (cbrt.f64 (pow.f64 n 5)) (fma.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 13)) 1/18))) (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18))) (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 n 16))) (/.f64 1 (pow.f64 n 4)))))))))
(+.f64 (fma.f64 f (-.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18))) (cbrt.f64 (/.f64 1 n))) (cbrt.f64 (.f64 n n))) (.f64 (.f64 f f) (+.f64 (.f64 1/3 (fma.f64 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/18) (.f64 (cbrt.f64 (pow.f64 n 5)) (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18))))))) (.f64 (.f64 -1/3 (fma.f64 (cbrt.f64 (.f64 n n)) (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18)))) (.f64 (cbrt.f64 (pow.f64 n 5)) (fma.f64 -2/3 (.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 35)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 13)) 1/18))) (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 n 16))) (/.f64 1 (pow.f64 n 4))))))) f))))
-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 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)) (.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 (*.f64 (/.f64 n f) (+.f64 1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) -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 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (/.f64 f n))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (*.f64 n n) (+.f64 f f))) (+.f64 1 (-.f64 (/.f64 f n) (/.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 (/.f64 2 (/.f64 n f)) 2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f))) (pow.f64 n 3)) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (+.f64 f f)))) (/.f64 f (/.f64 (.f64 n n) (+.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 1 (+.f64 (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1)) (fma.f64 2 (pow.f64 (/.f64 f n) 3) (/.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 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (/.f64 f n))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (*.f64 n n) (+.f64 f f))) (+.f64 1 (-.f64 (/.f64 f n) (/.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 (/.f64 2 (/.f64 n f)) 2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (+.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 (/.f64 f n) (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (+.f64 f f)))) (/.f64 f (/.f64 (.f64 n n) (+.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 1 (+.f64 (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1)) (fma.f64 2 (pow.f64 (/.f64 f n) 3) (/.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 f (/.f64 (*.f64 n n) (+.f64 f f))) (+.f64 1 (-.f64 (/.f64 f n) (/.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 (/.f64 2 (/.f64 n f)) 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))))))
(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 (pow.f64 (/.f64 f n) 3) (+.f64 1 (*.f64 (/.f64 f n) (+.f64 (/.f64 2 (/.f64 n f)) 2))))
-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 n f) (+.f64 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 (*.f64 (/.f64 n f) (+.f64 1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) -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 n f) (+.f64 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 (*.f64 (/.f64 n f) (+.f64 1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) -1)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 9 computations (78.6% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	n	@	0	(/.f64 n (+.f64 n f))
2.0ms	n	@	0	(pow.f64 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) -1)
1.0ms	f	@	-inf	(pow.f64 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) -1)
1.0ms	n	@	-inf	(pow.f64 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) -1)
1.0ms	n	@	inf	(pow.f64 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) -1)

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
503×	`fma-def_binary64`
304×	`pow2_binary64`
262×	`fma-neg_binary64`
250×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	217	37
2	3523	37

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

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

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

simplify250.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

883×	`associate-/r*_binary64`
845×	`associate-/l*_binary64`
486×	`cancel-sign-sub-inv_binary64`
300×	`fma-neg_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2275
1	737	2054
2	2946	1704

Stop Event

1×	node limit

Counts

378 → 363

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

eval603.0ms (8.3%)

Compiler: Compiled 45132 to 15755 computations (65.1% saved)

prune215.0ms (3%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1407	6	1413
Fresh	2	0	2
Picked	1	0	1
Done	3	5	8
Total	1413	11	1424

Error

Counts

1424 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.3b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	31.1b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	33.2b	-1
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
▶	0.0b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
▶	32.8b	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (-.f64 (.f64 n (-.f64 (.f64 2 f) n)) (*.f64 f f)))
	31.8b	1
▶	31.0b	(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2))
✓	32.8b	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
▶	46.0b	(/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n)))

Compiler

Compiled 131 to 77 computations (41.2% saved)

localize23.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 n f) (+.f64 n f))
✓	0.0b	(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2))

Compiler

Compiled 46 to 13 computations (71.7% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2))
1.0ms	n	@	0	(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2))
1.0ms	n	@	inf	(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2))
1.0ms	f	@	inf	(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2))
1.0ms	f	@	-inf	(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2))

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
518×	`log-prod_binary64`
277×	`pow2_binary64`
262×	`fma-def_binary64`
188×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	214	10
2	3068	10

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

881×	`times-frac_binary64`
712×	`div-sub_binary64`
664×	`fma-def_binary64`
455×	`associate-/l*_binary64`
424×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	498
1	320	429
2	1179	327
3	6253	327

Stop Event

1×	node limit

Counts

60 → 62

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 9 computations (78.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
502×	`fma-def_binary64`
297×	`pow2_binary64`
268×	`log-div_binary64`
262×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	214	13
2	3517	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-/l*_binary64`
633×	`associate-/r*_binary64`
414×	`associate-r_binary64`
358×	`associate-l_binary64`
246×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	806
1	470	710
2	1967	532

Stop Event

1×	node limit

Counts

55 → 61

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 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (.f64 2 (/.f64 f n)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 f 2) (.f64 -1 (pow.f64 f 2))) f) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (.f64 f (-.f64 (.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (.f64 -4 (pow.f64 f 2))))) (pow.f64 n 3))) (+.f64 (.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 2 (pow.f64 f 2))) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 f) f) (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 2 (pow.f64 f 2)))) (pow.f64 n 3)) (+.f64 1 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 -1 f) f)) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 2 (pow.f64 f 2))) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) 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 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -2 (/.f64 n f)))) (+.f64 (.f64 -2 (/.f64 (.f64 n (-.f64 (pow.f64 n 2) (+.f64 (.f64 -1 (pow.f64 n 2)) (.f64 4 (pow.f64 n 2))))) (pow.f64 f 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 2 (/.f64 (.f64 n (-.f64 (.f64 -1 (pow.f64 n 2)) (pow.f64 n 2))) (pow.f64 f 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 n) n) (-.f64 n (.f64 -1 n)))) (.f64 -2 (pow.f64 n 2))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 n) n) (-.f64 n (.f64 -1 n)))) (.f64 -2 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 n) n) (-.f64 n (.f64 -1 n)))) (.f64 -2 (pow.f64 n 2))) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (.f64 2 (/.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 -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 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 f f) (.f64 n n)) (fma.f64 2 (/.f64 f n) 1)) (.f64 -3 (/.f64 (.f64 f f) (*.f64 n n))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 f f) (.f64 n n))) (.f64 3 (/.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 (+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (.f64 2 (/.f64 f n)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 f 2) (.f64 -1 (pow.f64 f 2))) f) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (.f64 f (-.f64 (.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (.f64 -4 (pow.f64 f 2))))) (pow.f64 n 3))) (+.f64 (.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 1 (fma.f64 2 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))) (fma.f64 2 (/.f64 (-.f64 (.f64 f f) (neg.f64 (.f64 f f))) (/.f64 (pow.f64 n 3) f)) (fma.f64 -2 (/.f64 f (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 (.f64 f f)) (.f64 -3 (.f64 f f))))) (+.f64 (.f64 -3 (/.f64 (.f64 f f) (.f64 n n))) (neg.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))))
(-.f64 (+.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 f f) (.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 2 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 -2 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (-.f64 (.f64 (/.f64 (.f64 f f) (*.f64 n n)) -3) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 (+.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 (/.f64 f n) (/.f64 f n))) (pow.f64 (/.f64 f n) 3)) (-.f64 (.f64 (.f64 2 (pow.f64 (/.f64 f n) 3)) 0) (.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (-.f64 -3 (/.f64 f n)))))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(fma.f64 2 (/.f64 f n) 1)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 2 (pow.f64 f 2))) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 f f) (.f64 n n)) (fma.f64 2 (/.f64 f n) 1)) (.f64 -3 (/.f64 (.f64 f f) (*.f64 n n))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 f f) (.f64 n n))) (.f64 3 (/.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 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 f) f) (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 2 (pow.f64 f 2)))) (pow.f64 n 3)) (+.f64 1 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 -1 f) f)) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 2 (pow.f64 f 2))) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 (-.f64 (neg.f64 f) f) (/.f64 (pow.f64 n 3) (fma.f64 -1 (pow.f64 (-.f64 (neg.f64 f) f) 2) (.f64 2 (.f64 f f))))) (+.f64 1 (fma.f64 2 (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (-.f64 (neg.f64 f) f) 2) (.f64 2 (.f64 f f))) (*.f64 n n)) (/.f64 (-.f64 (neg.f64 f) f) n)))))))
(+.f64 (+.f64 1 (-.f64 (-.f64 (.f64 2 (.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (.f64 f -2))) (/.f64 (-.f64 (.f64 f (.f64 f 2)) (pow.f64 (.f64 f -2) 2)) (.f64 n n))) (/.f64 (.f64 f -2) n))) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (/.f64 (.f64 f -2) (pow.f64 n 3)) (-.f64 (.f64 f (.f64 f 2)) (pow.f64 (.f64 f -2) 2)))))
(+.f64 (+.f64 (.f64 -4 (pow.f64 (/.f64 f n) 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) (*.f64 (pow.f64 (/.f64 f n) 3) 4)))
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 -1 (/.f64 (.f64 f f) (.f64 n n)) (fma.f64 2 (/.f64 f n) 1)) (.f64 -3 (/.f64 (.f64 f f) (*.f64 n n))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 f f) (.f64 n n))) (.f64 3 (/.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 (.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 f) (.f64 n n)) 1)))
(+.f64 (.f64 2 (+.f64 (+.f64 (pow.f64 (/.f64 f n) 3) (/.f64 f n)) (.f64 (/.f64 f n) (/.f64 f n)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(+.f64 (/.f64 (.f64 n n) (.f64 f f)) (-.f64 (.f64 -2 (/.f64 n f)) (+.f64 1 (.f64 (/.f64 (.f64 n n) (.f64 f f)) 3))))
(-.f64 (fma.f64 -2 (/.f64 n f) (.f64 (/.f64 n f) (/.f64 n f))) (fma.f64 (.f64 (/.f64 n f) (/.f64 n f)) 3 1))
(-.f64 (.f64 (/.f64 n f) (+.f64 -2 (/.f64 n f))) (fma.f64 (.f64 (/.f64 n f) (/.f64 n f)) 3 1))
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -2 (/.f64 n f)))) (+.f64 (.f64 -2 (/.f64 (.f64 n (-.f64 (pow.f64 n 2) (+.f64 (.f64 -1 (pow.f64 n 2)) (.f64 4 (pow.f64 n 2))))) (pow.f64 f 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 2 (/.f64 (.f64 n (-.f64 (.f64 -1 (pow.f64 n 2)) (pow.f64 n 2))) (pow.f64 f 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))))
(-.f64 (+.f64 (/.f64 (.f64 n n) (.f64 f f)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (/.f64 n f)))) (fma.f64 -2 (/.f64 (.f64 n (-.f64 (.f64 n n) (.f64 (.f64 n n) 3))) (pow.f64 f 3)) (+.f64 1 (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (fma.f64 2 (/.f64 n (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 (.f64 n n)) (.f64 n n)))) (fma.f64 4 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))))
(-.f64 (+.f64 (.f64 -2 (/.f64 n f)) (-.f64 (.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (+.f64 (-.f64 (fma.f64 2 (/.f64 (.f64 -2 (pow.f64 n 3)) (pow.f64 f 3)) (fma.f64 (.f64 (/.f64 n f) (/.f64 n f)) 4 (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (/.f64 n f) (/.f64 n f))) (fma.f64 -2 (.f64 (/.f64 n (pow.f64 f 3)) (fma.f64 n n (.f64 (.f64 n n) -3))) 1)))
(-.f64 (-.f64 (.f64 (/.f64 n f) (+.f64 -2 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (+.f64 (+.f64 (.f64 (pow.f64 (/.f64 n f) 3) -4) (-.f64 (.f64 (.f64 (/.f64 n f) (/.f64 n f)) (+.f64 (/.f64 n f) 4)) (.f64 (/.f64 n f) (/.f64 n f)))) (fma.f64 -2 (.f64 (/.f64 n (pow.f64 f 3)) (.f64 n (-.f64 n (.f64 n 3)))) 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 (.f64 -1 (.f64 (-.f64 (.f64 -1 n) n) (-.f64 n (.f64 -1 n)))) (.f64 -2 (pow.f64 n 2))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f))) 1)
(+.f64 (neg.f64 (/.f64 (fma.f64 -1 (.f64 (-.f64 n (neg.f64 n)) (-.f64 (neg.f64 n) n)) (.f64 -2 (.f64 n n))) (.f64 f f))) (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) f) -1))
(fma.f64 -1 (/.f64 (fma.f64 -2 (.f64 n n) (.f64 (.f64 -2 n) (.f64 -2 n))) (*.f64 f f)) (fma.f64 -2 (/.f64 n f) -1))
(+.f64 (fma.f64 -2 (/.f64 n f) -1) (/.f64 (.f64 n (-.f64 n (.f64 n 3))) (*.f64 f f)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 n) n) (-.f64 n (.f64 -1 n)))) (.f64 -2 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 n) n) (-.f64 n (.f64 -1 n)))) (.f64 -2 (pow.f64 n 2))) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (.f64 2 (/.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 -1 (/.f64 (fma.f64 -1 (.f64 (-.f64 n (neg.f64 n)) (-.f64 (neg.f64 n) n)) (.f64 -2 (.f64 n n))) (.f64 f f)) (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 (fma.f64 -1 (.f64 (-.f64 n (neg.f64 n)) (-.f64 (neg.f64 n) n)) (.f64 -2 (.f64 n n))) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (fma.f64 2 (/.f64 (.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 n (neg.f64 n)))) (neg.f64 (/.f64 (-.f64 n (neg.f64 n)) f)))))) -1)
(+.f64 -1 (-.f64 (+.f64 (fma.f64 2 (/.f64 (+.f64 (pow.f64 n 3) (pow.f64 n 3)) (pow.f64 f 3)) (.f64 -2 (/.f64 n f))) (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 (fma.f64 -2 (.f64 n n) (.f64 (.f64 -2 n) (.f64 -2 n))) (pow.f64 f 3)) (.f64 -2 n)))) (/.f64 (fma.f64 -2 (.f64 n n) (.f64 (.f64 -2 n) (.f64 -2 n))) (.f64 f f))))
(+.f64 (/.f64 (.f64 n (-.f64 n (.f64 n 3))) (.f64 f f)) (+.f64 (+.f64 (.f64 2 (/.f64 2 (pow.f64 (/.f64 f n) 3))) (.f64 -2 (-.f64 (/.f64 n f) (.f64 (/.f64 n (pow.f64 f 3)) (.f64 n (-.f64 n (.f64 n 3))))))) (fma.f64 -2 (pow.f64 (/.f64 n f) 3) -1)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 n f) (-.f64 f n))
✓	23.5b	(/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n)))

Compiler

Compiled 31 to 7 computations (77.4% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	f	@	0	(/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n)))
1.0ms	n	@	-inf	(/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n)))
1.0ms	n	@	inf	(/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n)))
1.0ms	f	@	inf	(/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n)))
1.0ms	f	@	-inf	(/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n)))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`prod-diff_binary64`
575×	`log-prod_binary64`
404×	`fma-def_binary64`
212×	`fma-neg_binary64`
199×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	192	16
2	3280	16

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

720×	`cancel-sign-sub-inv_binary64`
511×	`fma-def_binary64`
378×	`times-frac_binary64`
345×	`associate-l_binary64`
332×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	674
1	318	649
2	1171	576
3	5532	557

Stop Event

1×	node limit

Counts

71 → 72

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 n (-.f64 (.f64 2 f) n))
✓	2.5b	(-.f64 (.f64 n (-.f64 (.f64 2 f) n)) (*.f64 f f))
	4.1b	(-.f64 (.f64 f f) (.f64 n n))
✓	32.1b	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (-.f64 (.f64 n (-.f64 (.f64 2 f) n)) (*.f64 f f)))

Compiler

Compiled 63 to 26 computations (58.7% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite95.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`log-prod_binary64`
449×	`fma-neg_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`
216×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	296	54
2	4661	54

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

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

Outputs

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simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

588×	`fma-def_binary64`
517×	`sub-neg_binary64`
437×	`times-frac_binary64`
370×	`div-sub_binary64`
337×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1177
1	337	1094
2	1296	936
3	6967	936

Stop Event

1×	node limit

Counts

242 → 212

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

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

eval759.0ms (10.5%)

Compiler: Compiled 51532 to 16761 computations (67.5% saved)

prune441.0ms (6.1%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1456	3	1459
Fresh	2	0	2
Picked	0	1	1
Done	1	7	8
Total	1459	11	1470

Error

Counts

1470 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/2) 2)
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
	33.2b	-1
✓	31.1b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	32.3b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	0.0b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
✓	32.8b	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (-.f64 (.f64 n (-.f64 (.f64 2 f) n)) (*.f64 f f)))
	31.8b	1
✓	32.8b	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
✓	46.0b	(/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 123 to 76 computations (38.2% saved)

regimes47.0ms (0.7%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	n
14.0ms	f
4.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
4.0ms	(/.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 258 to 110 computations (57.4% saved)

regimes26.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	f
8.0ms	n
3.0ms	(/.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 85 to 49 computations (42.4% saved)

regimes84.0ms (1.2%)

Counts

10 → 3

Calls

Call 1

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

58.0ms	n
23.0ms	f

Results

Error	Segments	Branch
18.6b	3	`f`
12.7b	3	`n`

Compiler

Compiled 30 to 24 computations (20% saved)

bsearch62.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	5.858417163169079e-68	1.2485818105103348e-67
16.0ms	-1.1913827064254032e+28	-1.487775885881513e+27

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes45.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	f
16.0ms	n

Results

Error	Segments	Branch
18.9b	3	`f`
13.0b	3	`n`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	3.7383598141104822e-47	9.620496503182128e-39
18.0ms	-1.1913827064254032e+28	-1.487775885881513e+27

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes41.0ms (0.6%)

Accuracy

Total -49.7b remaining (-374.4%)

Threshold costs -49.7b (-374.4%)

Counts

8 → 3

Calls

Call 1

Inputs
-1
1
-1
1
1
-1
1
-1

Outputs
1
-1
1

Calls

2 calls:

20.0ms	f
19.0ms	n

Results

Error	Segments	Branch
19.5b	3	`f`
13.3b	3	`n`

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	5.858417163169079e-68	1.2485818105103348e-67
17.0ms	-1.1913827064254032e+28	-1.487775885881513e+27

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	111
1	46	111
2	54	111
3	58	111
4	60	111

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -11913827064254032020359872512) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 7113102987856171/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -11913827064254032020359872512) 1 (if (<=.f64 n 7689360138781569/205688069665150755269371147819668813122841983204197482918576128) (-.f64 (*.f64 -2 (/.f64 n f)) 1) 1))
(if (<=.f64 n -11913827064254032020359872512) 1 (if (<=.f64 n 7113102987856171/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) -1 1))
-1

Outputs
(/.f64 1 (-.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 -11913827064254032020359872512) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 7113102987856171/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -11913827064254032020359872512) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 7113102987856171/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (*.f64 2 (/.f64 f n)))))
(if (<=.f64 n -11913827064254032020359872512) 1 (if (<=.f64 n 7689360138781569/205688069665150755269371147819668813122841983204197482918576128) (-.f64 (*.f64 -2 (/.f64 n f)) 1) 1))
(if (<=.f64 n -11913827064254032020359872512) 1 (if (<=.f64 n 7689360138781569/205688069665150755269371147819668813122841983204197482918576128) (+.f64 (*.f64 -2 (/.f64 n f)) -1) 1))
(if (<=.f64 n -11913827064254032020359872512) 1 (if (<=.f64 n 7113102987856171/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) -1 1))
-1

Compiler

Compiled 90 to 64 computations (28.9% saved)

soundness263.0ms (3.6%)

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)

end50.0ms (0.7%)

Compiler: Compiled 80 to 52 computations (35% saved)