Details

analyze72.0ms (1.8%)

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)

sample929.0ms (23.4%)

Results

916.0ms

8256×

body

256

valid

Bogosity

preprocess119.0ms (3%)

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 (2.6%)

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

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 17 to 8 computations (52.9% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (1.3%)

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))))))))

simplify54.0ms (1.4%)

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))

eval13.0ms (0.3%)

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

prune14.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	8	58

Error

Counts

58 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
▶	29.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	34.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	29.6b	-1
	34.5b	1
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	29.4b	(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)

Compiler

Compiled 123 to 85 computations (30.9% saved)

localize36.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.5b	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series10.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	0	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	0	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	-inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite77.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`prod-diff_binary64`
596×	`unpow-prod-down_binary64`
425×	`log-prod_binary64`
317×	`fma-def_binary64`
227×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	166	22
2	2520	22

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

Inputs
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

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

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

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

762×	`associate-/l*_binary64`
757×	`associate-/r*_binary64`
547×	`associate-l_binary64`
233×	`fma-neg_binary64`
213×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	1456
1	717	1244
2	2485	1019

Stop Event

1×	node limit

Counts

170 → 178

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n))) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n)))) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (.f64 2 (/.f64 (.f64 (E.f64) f) n))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (.f64 -1 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1)
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
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n))) 1)
(+.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f)))) -1)
(+.f64 (E.f64) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) -1))
(+.f64 (E.f64) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) -1))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n)))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (.f64 n n) (.f64 f f))) (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1)
(+.f64 (fma.f64 4 (.f64 (/.f64 (E.f64) n) (/.f64 (.f64 f f) n)) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64))) -1)
(+.f64 (.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (.f64 4 (*.f64 f f)) n))) (expm1.f64 1))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (.f64 2 (/.f64 (.f64 (E.f64) f) n))))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (.f64 n n) (.f64 f f))) (+.f64 (E.f64) (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 (E.f64) (/.f64 n f)))))) -1)
(fma.f64 4 (.f64 (/.f64 (E.f64) n) (/.f64 (.f64 f f) n)) (+.f64 (fma.f64 22/3 (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (pow.f64 f 3)) (.f64 2 (*.f64 (/.f64 (E.f64) n) f))) (expm1.f64 1)))
(+.f64 (+.f64 (+.f64 (E.f64) (.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (.f64 4 (.f64 f f)) n)))) (.f64 22/3 (/.f64 (E.f64) (pow.f64 (/.f64 n f) 3)))) -1)
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)) (.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (*.f64 n -2))) f)))
(+.f64 (.f64 (exp.f64 -1) (+.f64 (/.f64 (.f64 (.f64 n -2) (+.f64 (neg.f64 n) n)) (.f64 f f)) (*.f64 -2 (/.f64 n f)))) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 n) n) 3) (fma.f64 n (pow.f64 (-.f64 (neg.f64 n) n) 2) (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))) 1))
(+.f64 (.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (.f64 n -2))) f)) (+.f64 (/.f64 (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (fma.f64 n (pow.f64 (.f64 n -2) 2) (.f64 (pow.f64 n 3) -2))) (/.f64 (pow.f64 f 3) (exp.f64 -1))) (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))))
(+.f64 (.f64 (/.f64 (exp.f64 -1) (.f64 f f)) (+.f64 (.f64 (.f64 n -2) (+.f64 (neg.f64 n) n)) (/.f64 (+.f64 (.f64 (pow.f64 n 3) -2) (.f64 (pow.f64 (+.f64 n n) 2) (+.f64 (.f64 n -1/3) n))) f))) (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)) (.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (*.f64 n -2))) f)))
(+.f64 (.f64 (exp.f64 -1) (+.f64 (/.f64 (.f64 (.f64 n -2) (+.f64 (neg.f64 n) n)) (.f64 f f)) (*.f64 -2 (/.f64 n f)))) (expm1.f64 -1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (/.f64 (fma.f64 -1 (.f64 n (-.f64 n (neg.f64 n))) (.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (.f64 f f) (exp.f64 -1))) (+.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (.f64 n (pow.f64 (-.f64 n (neg.f64 n)) 2)) (fma.f64 (.f64 n n) (-.f64 n (neg.f64 n)) (.f64 1/6 (pow.f64 (-.f64 n (neg.f64 n)) 3)))) (/.f64 (pow.f64 f 3) (exp.f64 -1))))))) -1)
(+.f64 (/.f64 (.f64 n -2) (/.f64 f (exp.f64 -1))) (+.f64 (-.f64 (exp.f64 -1) (.f64 (/.f64 (-.f64 (fma.f64 (.f64 n n) (+.f64 n n) (.f64 1/6 (pow.f64 (+.f64 n n) 3))) (.f64 n (pow.f64 (+.f64 n n) 2))) (pow.f64 f 3)) (exp.f64 -1))) (-.f64 (.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 n n) 2) (.f64 n (.f64 n -2))) (*.f64 f f)) (exp.f64 -1)) 1)))
(+.f64 -1 (-.f64 (+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (/.f64 (.f64 (.f64 n -2) (+.f64 (neg.f64 n) n)) (.f64 f f)) (.f64 -2 (/.f64 n f))))) (.f64 (/.f64 (exp.f64 -1) (pow.f64 f 3)) (+.f64 (.f64 -2 (.f64 2 (pow.f64 n 3))) (fma.f64 1/6 (pow.f64 (+.f64 n n) 3) (*.f64 2 (pow.f64 n 3)))))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(+.f64 (+.f64 (fma.f64 -2 (/.f64 n (/.f64 f (exp.f64 -1))) (exp.f64 -1)) (/.f64 (.f64 2/3 (.f64 (pow.f64 n 3) (exp.f64 -1))) (pow.f64 f 3))) -1)
(fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (+.f64 (/.f64 2/3 (/.f64 (pow.f64 f 3) (.f64 (pow.f64 n 3) (exp.f64 -1)))) (expm1.f64 -1)))
(fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (+.f64 (.f64 2/3 (*.f64 (pow.f64 (/.f64 n f) 3) (exp.f64 -1))) (expm1.f64 -1)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (fma.f64 -2 (/.f64 n (/.f64 f (exp.f64 -1))) (fma.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 n 4)) (pow.f64 f 4)) (+.f64 (exp.f64 -1) (/.f64 (.f64 2/3 (*.f64 (pow.f64 n 3) (exp.f64 -1))) (pow.f64 f 3))))) -1)
(fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (+.f64 (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 4) (pow.f64 n 4))) (fma.f64 2/3 (.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (exp.f64 -1)) (exp.f64 -1))) -1))
(+.f64 (fma.f64 2/3 (.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (exp.f64 -1)) (fma.f64 2/3 (.f64 (pow.f64 (/.f64 n f) 3) (exp.f64 -1)) (exp.f64 -1))) (fma.f64 (*.f64 -2 (/.f64 n f)) (exp.f64 -1) -1))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(+.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f)))) -1)
(+.f64 (E.f64) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) -1))
(+.f64 (E.f64) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) -1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (.f64 n n) (.f64 f f))) (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1)
(+.f64 (fma.f64 4 (.f64 (/.f64 (E.f64) n) (/.f64 (.f64 f f) n)) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64))) -1)
(+.f64 (.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (.f64 4 (*.f64 f f)) n))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1)
(+.f64 (+.f64 (E.f64) (+.f64 (+.f64 (/.f64 (E.f64) (/.f64 n (-.f64 f (neg.f64 f)))) (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (fma.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2) (fma.f64 1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (.f64 (.f64 f f) (-.f64 f (neg.f64 f)))))))) (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2))))))) -1)
(+.f64 (+.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (+.f64 (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (fma.f64 f (pow.f64 (+.f64 f f) 2) (fma.f64 1/6 (pow.f64 (+.f64 f f) 3) (.f64 2 (pow.f64 f 3))))) (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f)))))) (expm1.f64 1))
(+.f64 (+.f64 (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (+.f64 (.f64 2 (pow.f64 f 3)) (.f64 (.f64 4 (.f64 f f)) (+.f64 f (.f64 f 1/3))))) (.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (.f64 4 (*.f64 f f)) n)))) (expm1.f64 1))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(+.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f)))) -1)
(+.f64 (E.f64) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) -1))
(+.f64 (E.f64) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) -1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (.f64 n n) (.f64 f f))) (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1)
(+.f64 (fma.f64 4 (.f64 (/.f64 (E.f64) n) (/.f64 (.f64 f f) n)) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64))) -1)
(+.f64 (.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (.f64 4 (*.f64 f f)) n))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (.f64 -1 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2))))) (+.f64 (/.f64 (E.f64) (/.f64 n (-.f64 f (neg.f64 f)))) (neg.f64 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (fma.f64 -1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (.f64 -1 (+.f64 (.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2)) (.f64 (.f64 f f) (-.f64 f (neg.f64 f))))))))))) 1))
(+.f64 (+.f64 (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f)))) (-.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (fma.f64 (pow.f64 (+.f64 f f) 3) -1/6 (neg.f64 (fma.f64 f (pow.f64 (+.f64 f f) 2) (.f64 2 (pow.f64 f 3)))))))) (expm1.f64 1))
(+.f64 (-.f64 (.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (.f64 4 (.f64 f f)) n))) (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (+.f64 (.f64 (pow.f64 f 3) -2) (.f64 (.f64 4 (.f64 f f)) (-.f64 (*.f64 f -1/3) f))))) (expm1.f64 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 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 n f)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(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 2 (/.f64 2 (/.f64 n f))))))
-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 -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 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 -2 f) (/.f64 n (/.f64 f n))) (/.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 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -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 -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 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 -2 f) (/.f64 n (/.f64 f n))) (/.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 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -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 -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 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 -2 f) (/.f64 n (/.f64 f n))) (/.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 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 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 n f)))))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (+.f64 (/.f64 f n) (+.f64 1 (.f64 2 (pow.f64 (/.f64 f n) 3)))) (.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 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 n f)))))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (+.f64 (/.f64 f n) (+.f64 1 (.f64 2 (pow.f64 (/.f64 f n) 3)))) (.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1)))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series7.0ms (0.2%)

Counts

2 → 15

Calls

12 calls:

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

rewrite103.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`pow1_binary64`
805×	`add-log-exp_binary64`
805×	`log1p-expm1-u_binary64`
805×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	172	15
2	2204	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2 (/.f64 f n) 1) 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 (*.f64 2 f) 1) 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 (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 pow.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2))))) (#(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 (*.f64 (pow.f64 (/.f64 f n) 3) 8))))) (#(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))))))))

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`+-commutative_binary64`
1×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	14	96
2	20	96
3	24	96
4	26	96
5	27	96

Stop Event

1×

saturated

Counts

68 → 57

Calls

Call 1

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

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

localize15.0ms (0.4%)

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 n f))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))

Compiler

Compiled 25 to 10 computations (60% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite114.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

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

simplify123.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

163 → 152

Calls

Call 1

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

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

localize16.0ms (0.4%)

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)

series7.0ms (0.2%)

Counts

2 → 30

Calls

12 calls:

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

rewrite72.0ms (1.8%)

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)))))

simplify93.0ms (2.3%)

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

eval206.0ms (5.2%)

Compiler: Compiled 8903 to 4291 computations (51.8% saved)

prune145.0ms (3.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	519	3	522
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	520	10	530

Error

Counts

530 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	29.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	34.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
	34.5b	1
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	29.6b	-1
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	29.4b	(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
▶	61.9b	(*.f64 2 (/.f64 f n))

Compiler

Compiled 89 to 59 computations (33.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 6 computations (78.6% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite85.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

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

simplify74.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

287 → 271

Calls

Call 1

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

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

eval75.0ms (1.9%)

Compiler: Compiled 5260 to 1836 computations (65.1% saved)

prune46.0ms (1.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	289	3	292
Fresh	2	0	2
Picked	0	1	1
Done	1	6	7
Total	292	10	302

Error

Counts

302 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	29.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	34.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	29.4b	(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
	34.5b	1
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	15.5b	(/.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 (/.f64 n f) 1) n)) (.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
✓	61.9b	(*.f64 2 (/.f64 f n))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
	29.6b	-1

Compiler

Compiled 101 to 64 computations (36.6% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 n f) (*.f64 (-.f64 (/.f64 n f) 1) n))
✓	0.1b	(*.f64 (-.f64 (/.f64 n f) 1) n)
✓	0.1b	(*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f))
✓	15.0b	(/.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 (/.f64 n f) 1) n)) (.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))

Compiler

Compiled 64 to 25 computations (60.9% saved)

series16.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	n	@	inf	(/.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 (/.f64 n f) 1) n)) (.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
2.0ms	n	@	-inf	(*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f))
1.0ms	n	@	0	(/.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 (/.f64 n f) 1) n)) (.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
1.0ms	f	@	-inf	(/.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 (/.f64 n f) 1) n)) (.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
1.0ms	f	@	inf	(/.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 (/.f64 n f) 1) n)) (.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))

rewrite113.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`log-prod_binary64`
630×	`fma-def_binary64`
359×	`fma-neg_binary64`
260×	`log-div_binary64`
238×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	260	66
2	4252	66

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n 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-1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f))) (/.f64 1 (.f64 (-.f64 n f) (neg.f64 (+.f64 (/.f64 n f) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f))) (.f64 (-.f64 n f) (+.f64 (/.f64 n f) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f))) 1) (/.f64 (sqrt.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f))) (.f64 (-.f64 n f) (+.f64 (/.f64 n f) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 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simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
475×	`times-frac_binary64`
403×	`associate-/l*_binary64`
390×	`associate--l+_binary64`
300×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1586
1	441	1347
2	1841	1142

Stop Event

1×	node limit

Counts

311 → 262

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

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

eval100.0ms (2.5%)

Compiler: Compiled 7679 to 3545 computations (53.8% saved)

prune41.0ms (1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	259	3	262
Fresh	2	0	2
Picked	1	0	1
Done	0	7	7
Total	262	10	272

Error

Counts

272 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	29.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	34.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	15.5b	(/.f64 (-.f64 (.f64 (/.f64 n f) n) f) (.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	34.5b	1
✓	61.9b	(*.f64 2 (/.f64 f n))
	29.6b	-1
✓	29.4b	(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))

Compiler

Compiled 97 to 62 computations (36.1% saved)

regimes29.0ms (0.7%)

Counts

18 → 1

Calls

Call 1

Inputs
1
-1
1
-1
1
-1
1
(*.f64 2 (/.f64 f n))
(-.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 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (-.f64 (.f64 (/.f64 n f) n) f) (.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
(/.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 (/.f64 n f) 1) n)) (.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

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

Calls

4 calls:

10.0ms	f
9.0ms	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 148 to 71 computations (52% saved)

regimes24.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	n
7.0ms	f
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 78 to 46 computations (41% saved)

regimes42.0ms (1.1%)

Counts

10 → 3

Calls

Call 1

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

23.0ms	f
17.0ms	n

Results

Error	Segments	Branch
15.0b	3	`f`
13.6b	3	`n`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch37.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.0021275774150482834	2.0344160612957536
18.0ms	-12489669798063233000.0	-14.889450944672898

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes250.0ms (6.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

185.0ms	f
63.0ms	n

Results

Error	Segments	Branch
15.3b	3	`f`
13.8b	3	`n`

Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch37.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.8784326835701253e+56	8.531529723263043e+82
18.0ms	-4.5632091554398244e+82	-3.7435322943058033e+67

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes37.0ms (0.9%)

Accuracy

Total -49.0b remaining (-345.9%)

Threshold costs -49.0b (-345.9%)

Counts

8 → 3

Calls

Call 1

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

Outputs
1
-1
1

Calls

2 calls:

20.0ms	f
15.0ms	n

Results

Error	Segments	Branch
15.6b	3	`f`
14.2b	3	`n`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch38.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.0021275774150482834	2.0344160612957536
20.0ms	-12489669798063233000.0	-14.889450944672898

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	108
1	45	108
2	49	108
3	51	108
4	52	108

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -12489669798063233024) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 2452929754525013/1152921504606846976) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -45632091554398243513598764564161859836465376071674063711870292313563167120561274880) 1 (if (<=.f64 n 187843268357012526494924919283563881772932362181239898112) (-.f64 (*.f64 -2 (/.f64 n f)) 1) 1))
(if (<=.f64 n -12489669798063233024) 1 (if (<=.f64 n 2452929754525013/1152921504606846976) -1 1))
1

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 n -12489669798063233024) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 2452929754525013/1152921504606846976) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -12489669798063233024) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 2452929754525013/1152921504606846976) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -45632091554398243513598764564161859836465376071674063711870292313563167120561274880) 1 (if (<=.f64 n 187843268357012526494924919283563881772932362181239898112) (-.f64 (*.f64 -2 (/.f64 n f)) 1) 1))
(if (<=.f64 n -45632091554398243513598764564161859836465376071674063711870292313563167120561274880) 1 (if (<=.f64 n 187843268357012526494924919283563881772932362181239898112) (+.f64 (*.f64 -2 (/.f64 n f)) -1) 1))
(if (<=.f64 n -12489669798063233024) 1 (if (<=.f64 n 2452929754525013/1152921504606846976) -1 1))
1

Compiler

Compiled 88 to 62 computations (29.5% saved)

soundness277.0ms (7%)

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 (1.3%)

Compiler: Compiled 78 to 50 computations (35.9% saved)

Details

analyze72.0ms (1.8%)

sample929.0ms (23.4%)

preprocess119.0ms (3%)

simplify104.0ms (2.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite50.0ms (1.3%)

simplify54.0ms (1.4%)

eval13.0ms (0.3%)

prune14.0ms (0.4%)

localize36.0ms (0.9%)

series10.0ms (0.3%)

rewrite77.0ms (1.9%)

simplify70.0ms (1.8%)

localize8.0ms (0.2%)

series7.0ms (0.2%)

rewrite103.0ms (2.6%)

simplify10.0ms (0.2%)

localize15.0ms (0.4%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite114.0ms (2.9%)

simplify123.0ms (3.1%)

localize16.0ms (0.4%)

series7.0ms (0.2%)

rewrite72.0ms (1.8%)

simplify93.0ms (2.3%)

eval206.0ms (5.2%)

prune145.0ms (3.6%)

localize5.0ms (0.1%)

localize9.0ms (0.2%)

series8.0ms (0.2%)

rewrite85.0ms (2.1%)

simplify74.0ms (1.9%)

eval75.0ms (1.9%)

prune46.0ms (1.2%)

localize19.0ms (0.5%)

series16.0ms (0.4%)

rewrite113.0ms (2.9%)

simplify62.0ms (1.6%)

eval100.0ms (2.5%)

prune41.0ms (1%)

regimes29.0ms (0.7%)

regimes24.0ms (0.6%)

regimes42.0ms (1.1%)

bsearch37.0ms (0.9%)

regimes250.0ms (6.3%)

bsearch37.0ms (0.9%)

regimes37.0ms (0.9%)

bsearch38.0ms (0.9%)

simplify7.0ms (0.2%)

soundness277.0ms (7%)

end50.0ms (1.3%)

Profiling