Details

analyze116.0ms (3.1%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample844.0ms (22.6%)

Results

832.0ms

8256×

body

256

valid

preprocess149.0ms (4%)

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 (2.8%)

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))

rewrite51.0ms (1.4%)

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))))))))

simplify67.0ms (1.8%)

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 (0.4%)

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

prune25.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Error

Counts

58 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
▶	34.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	29.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	30.0b	1
	34.7b	-1
▶	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 55 to 39 computations (29.1% 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))
0.0ms	n	@	inf	(/.f64 1 (-.f64 n f))
0.0ms	f	@	-inf	(/.f64 1 (-.f64 n f))
0.0ms	f	@	0	(/.f64 1 (-.f64 n f))
0.0ms	n	@	0	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))

rewrite117.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

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

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

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

simplify69.0ms (1.8%)

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))))

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite70.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize151.0ms (4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite139.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 275

Calls

Call 1

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

Outputs

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

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

781×	`associate-/l*_binary64`
722×	`associate-/r*_binary64`
305×	`associate-l_binary64`
261×	`fma-neg_binary64`
259×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1464
1	636	1096
2	2641	756

Stop Event

1×	node limit

Counts

323 → 325

Calls

Call 1

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

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

eval182.0ms (4.9%)

Compiler: Compiled 15857 to 5425 computations (65.8% saved)

prune85.0ms (2.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	516	1	517
Fresh	0	2	2
Picked	1	0	1
Done	0	4	4
Total	517	7	524

Error

Counts

524 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	34.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	29.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	30.0b	1
	34.7b	-1
▶	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite127.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 289

Calls

Call 1

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

Outputs

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

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

337 → 333

Calls

Call 1

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

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

eval132.0ms (3.5%)

Compiler: Compiled 12613 to 3872 computations (69.3% saved)

prune46.0ms (1.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	333	0	333
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	333	7	340

Error

Counts

340 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	34.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	29.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	30.0b	1
	34.7b	-1
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	34.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	29.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	30.0b	1
	34.7b	-1
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

regimes19.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	n
6.0ms	f
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 86 to 46 computations (46.5% saved)

regimes35.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	f
12.0ms	n

Results

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

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch66.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	7.4621333875191525e-31	6.904716440239141e-14
33.0ms	-1.845473182444802e-10	-1.4854196536059134e-18

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes54.0ms (1.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	f
22.0ms	n

Results

Error	Segments	Branch
16.4b	3	`f`
14.1b	3	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch66.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	7.4621333875191525e-31	6.904716440239141e-14
33.0ms	-1.845473182444802e-10	-1.4854196536059134e-18

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes80.0ms (2.1%)

Accuracy

Total -48.6b remaining (-338.6%)

Threshold costs -48.6b (-338.6%)

Counts

2 → 3

Calls

Call 1

Inputs
1
-1

Outputs
1
-1
1

Calls

2 calls:

57.0ms	f
21.0ms	n

Results

Error	Segments	Branch
16.8b	3	`f`
14.4b	3	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch109.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	7.4621333875191525e-31	6.904716440239141e-14
31.0ms	-1.845473182444802e-10	-1.4854196536059134e-18

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`+-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	27	92
1	37	92
2	41	92
3	43	92
4	44	92

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -7139328574924481/38685626227668133590597632) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 8520250128000655/11417981541647679048466287755595961091061972992) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -7139328574924481/38685626227668133590597632) 1 (if (<=.f64 n 8520250128000655/11417981541647679048466287755595961091061972992) (-.f64 (*.f64 -2 (/.f64 n f)) 1) 1))
(if (<=.f64 n -7139328574924481/38685626227668133590597632) 1 (if (<=.f64 n 8520250128000655/11417981541647679048466287755595961091061972992) -1 1))
1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -7139328574924481/38685626227668133590597632) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 8520250128000655/11417981541647679048466287755595961091061972992) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -7139328574924481/38685626227668133590597632) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 8520250128000655/11417981541647679048466287755595961091061972992) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -7139328574924481/38685626227668133590597632) 1 (if (<=.f64 n 8520250128000655/11417981541647679048466287755595961091061972992) (-.f64 (*.f64 -2 (/.f64 n f)) 1) 1))
(if (<=.f64 n -7139328574924481/38685626227668133590597632) 1 (if (<=.f64 n 8520250128000655/11417981541647679048466287755595961091061972992) (+.f64 (*.f64 -2 (/.f64 n f)) -1) 1))
(if (<=.f64 n -7139328574924481/38685626227668133590597632) 1 (if (<=.f64 n 8520250128000655/11417981541647679048466287755595961091061972992) -1 1))
1

Compiler

Compiled 75 to 56 computations (25.3% saved)

soundness424.0ms (11.3%)

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)

end104.0ms (2.8%)

Compiler: Compiled 67 to 47 computations (29.9% saved)

Details

analyze116.0ms (3.1%)

sample844.0ms (22.6%)

preprocess149.0ms (4%)

simplify104.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite51.0ms (1.4%)

simplify67.0ms (1.8%)

eval13.0ms (0.4%)

prune25.0ms (0.7%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite117.0ms (3.1%)

simplify69.0ms (1.8%)

localize10.0ms (0.3%)

series4.0ms (0.1%)

rewrite65.0ms (1.7%)

simplify6.0ms (0.2%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite70.0ms (1.9%)

simplify6.0ms (0.2%)

localize151.0ms (4%)

series8.0ms (0.2%)

rewrite139.0ms (3.7%)

simplify65.0ms (1.7%)

eval182.0ms (4.9%)

prune85.0ms (2.3%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite127.0ms (3.4%)

simplify69.0ms (1.8%)

eval132.0ms (3.5%)

prune46.0ms (1.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes19.0ms (0.5%)

regimes35.0ms (0.9%)

bsearch66.0ms (1.8%)

regimes54.0ms (1.4%)

bsearch66.0ms (1.8%)

regimes80.0ms (2.1%)

bsearch109.0ms (2.9%)

simplify11.0ms (0.3%)

soundness424.0ms (11.3%)

end104.0ms (2.8%)

Profiling