Details

analyze234.0ms (5.7%)

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
92.2%	7.7%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample779.0ms (19.1%)

Results

766.0ms

8256×

body

128

valid

preprocess69.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

762×	`fma-neg_binary64`
504×	`fma-def_binary64`
425×	`times-frac_binary64`
376×	`div-sub_binary64`
206×	`cancel-sign-sub-inv_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	1384	20
7	3080	20
8	4110	20
9	4417	20
10	4558	20
11	4596	20
12	4606	20
13	4606	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 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 f n) (-.f64 f n))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
448×	`times-frac_binary64`
307×	`div-sub_binary64`
143×	`cancel-sign-sub-inv_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	331	12
6	818	10
7	2221	10
8	3129	10
9	3837	10
10	3958	10
11	4001	10
12	4011	10
13	4011	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))

eval0.0ms (0%)

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

prune2.0ms (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 18 to 10 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite168.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`
78×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	144	10
2	2307	10

Stop Event

1×	node limit

Counts

1 → 35

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

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Rules

665×	`times-frac_binary64`
521×	`fma-def_binary64`
352×	`associate-/l*_binary64`
310×	`associate-/r*_binary64`
149×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	504
1	264	441
2	940	327
3	4891	327

Stop Event

1×	node limit

Counts

59 → 58

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

eval14.0ms (0.4%)

Compiler: Compiled 856 to 392 computations (54.2% saved)

prune52.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

Counts

59 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	1.4b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))

Compiler

Compiled 111 to 67 computations (39.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.1b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

series10.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
1.0ms	f	@	-inf	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
1.0ms	f	@	inf	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
1.0ms	n	@	-inf	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
1.0ms	n	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

rewrite57.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`prod-diff_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`
140×	`fma-neg_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	214	23
2	2888	23

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

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

Outputs

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

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

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-def_binary64`
297×	`fma-neg_binary64`
275×	`associate-+r+_binary64`
262×	`unsub-neg_binary64`
255×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	2045
1	974	1542
2	3858	1473

Stop Event

1×	node limit

Counts

139 → 159

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 6 (/.f64 f n)))
(+.f64 (.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (.f64 6 (/.f64 f n))))
(+.f64 (.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (.f64 6 (/.f64 f n)) (*.f64 38 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
-1
(-.f64 (+.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1 n) n) f)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
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(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (pow.f64 f 2))) (+.f64 (.f64 -2 (/.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (pow.f64 f 3))) (+.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 (.f64 -2 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 f 2))) (+.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1 n) n) f)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -2 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (pow.f64 f 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (.f64 -1 (/.f64 n f)))))))))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (-.f64 n (.f64 -1 n))) n) (.f64 -1 n)) f)) 1)
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(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (-.f64 n (.f64 -1 n))) n) (.f64 -1 n)) f)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (+.f64 (.f64 -1 (+.f64 (.f64 -2 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 -2 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n)))))) (+.f64 (.f64 (-.f64 n (.f64 -1 n)) (+.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (.f64 2 (.f64 n (-.f64 n (.f64 -1 n)))))) (.f64 2 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2)))))) (pow.f64 f 3))) (.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (.f64 2 (.f64 n (-.f64 n (*.f64 -1 n))))) (pow.f64 f 2))))))) 1)
-1
(-.f64 (*.f64 -6 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -18 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -6 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -18 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -6 (/.f64 n f)) (*.f64 -38 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
1
(-.f64 (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (/.f64 f n))) (+.f64 (.f64 -2 (/.f64 f n)) (*.f64 -1 (/.f64 f n))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 2 f) (.f64 -2 f))) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 (/.f64 f n) (.f64 2 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2))))))))) (+.f64 (.f64 -2 (/.f64 f n)) (*.f64 -1 (/.f64 f n))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 2 f) (.f64 -2 f))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (-.f64 f (.f64 -1 f)) f)) (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (-.f64 f (.f64 -1 f))) (pow.f64 n 3)) (+.f64 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (pow.f64 n 3)) (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (.f64 f (-.f64 (.f64 2 f) (.f64 -2 f)))) (pow.f64 n 3)) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 (/.f64 f n) (+.f64 (.f64 2 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2))) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f))) (pow.f64 n 3)) (/.f64 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f) (pow.f64 n 3)))))))))))))) (+.f64 (.f64 -2 (/.f64 f n)) (*.f64 -1 (/.f64 f n))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 f (.f64 -1 f))) (.f64 -2 (-.f64 f (*.f64 -1 f)))) n)))
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(+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f)))) (+.f64 (.f64 -2 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))) (+.f64 (.f64 -2 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (+.f64 (.f64 -1 (.f64 (+.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (.f64 2 (.f64 f (-.f64 f (.f64 -1 f))))) (-.f64 f (.f64 -1 f)))) (.f64 -2 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2))))))) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 f (.f64 -1 f))) (.f64 -2 (-.f64 f (.f64 -1 f)))) n)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))) (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2))))))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
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-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)))
(*.f64 -1 (cbrt.f64 -1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (*.f64 -1 (cbrt.f64 -1)))
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(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1))))) (pow.f64 n 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (*.f64 f (cbrt.f64 -1))))) (pow.f64 n 3))))))

Outputs
1
(+.f64 1 (*.f64 6 (/.f64 f n)))
(fma.f64 6 (/.f64 f n) 1)
(+.f64 (.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (.f64 6 (/.f64 f n))))
(fma.f64 18 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 1 (*.f64 6 (/.f64 f n))))
(fma.f64 18 (*.f64 (/.f64 f n) (/.f64 f n)) (fma.f64 6 (/.f64 f n) 1))
(+.f64 (.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (.f64 6 (/.f64 f n)) (*.f64 38 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(fma.f64 18 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 1 (fma.f64 6 (/.f64 f n) (/.f64 (*.f64 38 (pow.f64 f 3)) (pow.f64 n 3)))))
(+.f64 (fma.f64 6 (/.f64 f n) (.f64 38 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))) (fma.f64 18 (.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 (fma.f64 6 (/.f64 f n) (.f64 38 (pow.f64 (/.f64 f n) 3))) (fma.f64 18 (.f64 (/.f64 f n) (/.f64 f n)) 1))
-1
(-.f64 (+.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1 n) n) f)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 2 (/.f64 (-.f64 (neg.f64 n) n) f) (/.f64 (neg.f64 n) f)) (+.f64 1 (/.f64 n f)))
(fma.f64 2 (*.f64 (/.f64 n f) -2) (fma.f64 (/.f64 n f) -2 -1))
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-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (-.f64 n (.f64 -1 n))) n) (.f64 -1 n)) f)) 1)
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 2 (-.f64 n (neg.f64 n)) n) (neg.f64 n)) f) -1)
(fma.f64 -1 (/.f64 (*.f64 3 (+.f64 n n)) f) -1)
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-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 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))))
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.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)))))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 f n) 2 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 (/.f64 f n) 2 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (.f64 n n) f)) (-.f64 (+.f64 (+.f64 1 (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 f (neg.f64 f))))) (/.f64 f n)) (/.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 (.f64 (/.f64 f (.f64 n n)) (+.f64 f f)) (+.f64 (+.f64 1 (.f64 2 (pow.f64 (/.f64 f n) 3))) (.f64 (/.f64 f n) 2)))
(*.f64 -1 (cbrt.f64 -1))
(neg.f64 (cbrt.f64 -1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (*.f64 -1 (cbrt.f64 -1)))
(.f64 -1 (+.f64 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (*.f64 (neg.f64 f) (cbrt.f64 -1))) n) (cbrt.f64 -1)))
(-.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 f f)) n))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (+.f64 (.f64 -1 (cbrt.f64 -1)) (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1))))) (pow.f64 n 2)))))
(fma.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 (neg.f64 f) (cbrt.f64 -1))) n) (.f64 -1 (+.f64 (cbrt.f64 -1) (/.f64 f (/.f64 (.f64 n n) (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 (neg.f64 f) (cbrt.f64 -1))))))))
(-.f64 (-.f64 (neg.f64 (cbrt.f64 -1)) (.f64 (/.f64 f n) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 f f)) n))) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 f f)) n))
(-.f64 (neg.f64 (/.f64 (.f64 (cbrt.f64 -1) (+.f64 f f)) n)) (+.f64 (cbrt.f64 -1) (.f64 (/.f64 f n) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 f f)) n))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1))))) (pow.f64 n 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (*.f64 f (cbrt.f64 -1))))) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 (neg.f64 f) (cbrt.f64 -1))) n) (fma.f64 -1 (cbrt.f64 -1) (.f64 -1 (+.f64 (/.f64 f (/.f64 (.f64 n n) (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 (neg.f64 f) (cbrt.f64 -1))))) (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (.f64 f (cbrt.f64 -1)) (*.f64 (neg.f64 f) (cbrt.f64 -1)))))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 f f)) (/.f64 (pow.f64 n 3) (.f64 (cbrt.f64 -1) (+.f64 f f)))) (.f64 (/.f64 f n) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 f f)) n))) (cbrt.f64 -1)) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 f f)) n))
(-.f64 (-.f64 (/.f64 (neg.f64 (.f64 f f)) (/.f64 (pow.f64 n 3) (.f64 (cbrt.f64 -1) (+.f64 f f)))) (.f64 (/.f64 f n) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 f f)) n))) (+.f64 (cbrt.f64 -1) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 f f)) n)))

eval78.0ms (1.9%)

Compiler: Compiled 4916 to 2554 computations (48% saved)

prune577.0ms (14.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	218	3	221

Error

Counts

221 → 3

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(cbrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))

Compiler

Compiled 77 to 49 computations (36.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.1b	(pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)
✓	0.5b	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series12.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite55.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`prod-diff_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`
107×	`add-sqr-sqrt_binary64`
104×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	233	35
2	3013	35

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)
(cbrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))

Outputs

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

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

420×	`fma-def_binary64`
373×	`+-commutative_binary64`
346×	`associate-+r+_binary64`
289×	`associate-+l+_binary64`
216×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	400	3024
1	1405	2357

Stop Event

1×	node limit

Counts

179 → 211

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n))) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n)))) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (.f64 2 (/.f64 (.f64 (E.f64) f) n))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (.f64 -1 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1)
1
(+.f64 1 (*.f64 6 (/.f64 f n)))
(+.f64 (.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (.f64 6 (/.f64 f n))))
(+.f64 (.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (.f64 6 (/.f64 f n)) (*.f64 38 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
-1
(-.f64 (+.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1 n) n) f)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1 n) n) f)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (pow.f64 f 2))) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (+.f64 (.f64 -1 (/.f64 n f)) (.f64 -2 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 f 2))))))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (pow.f64 f 2))) (+.f64 (.f64 -2 (/.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (pow.f64 f 3))) (+.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 (.f64 -2 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 f 2))) (+.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1 n) n) f)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -2 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (pow.f64 f 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (.f64 -1 (/.f64 n f)))))))))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (-.f64 n (.f64 -1 n))) n) (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (-.f64 n (.f64 -1 n))) n) (.f64 -1 n)) f)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (.f64 2 (.f64 n (-.f64 n (.f64 -1 n))))) (pow.f64 f 2)))))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (-.f64 n (.f64 -1 n))) n) (.f64 -1 n)) f)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (+.f64 (.f64 -1 (+.f64 (.f64 -2 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 -2 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n)))))) (+.f64 (.f64 (-.f64 n (.f64 -1 n)) (+.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (.f64 2 (.f64 n (-.f64 n (.f64 -1 n)))))) (.f64 2 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2)))))) (pow.f64 f 3))) (.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (.f64 2 (.f64 n (-.f64 n (*.f64 -1 n))))) (pow.f64 f 2))))))) 1)
-1
(-.f64 (*.f64 -6 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -18 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -6 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -18 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -6 (/.f64 n f)) (*.f64 -38 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
1
(-.f64 (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (/.f64 f n))) (+.f64 (.f64 -2 (/.f64 f n)) (*.f64 -1 (/.f64 f n))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 2 f) (.f64 -2 f))) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 (/.f64 f n) (.f64 2 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2))))))))) (+.f64 (.f64 -2 (/.f64 f n)) (*.f64 -1 (/.f64 f n))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 2 f) (.f64 -2 f))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (-.f64 f (.f64 -1 f)) f)) (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (-.f64 f (.f64 -1 f))) (pow.f64 n 3)) (+.f64 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (pow.f64 n 3)) (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (.f64 f (-.f64 (.f64 2 f) (.f64 -2 f)))) (pow.f64 n 3)) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 (/.f64 f n) (+.f64 (.f64 2 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2))) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f))) (pow.f64 n 3)) (/.f64 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f) (pow.f64 n 3)))))))))))))) (+.f64 (.f64 -2 (/.f64 f n)) (*.f64 -1 (/.f64 f n))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 f (.f64 -1 f))) (.f64 -2 (-.f64 f (*.f64 -1 f)))) n)))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 f (.f64 -1 f))) (.f64 -2 (-.f64 f (.f64 -1 f)))) n)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))) (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)) (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2)))))))
(+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f)))) (+.f64 (.f64 -2 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))) (+.f64 (.f64 -2 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (+.f64 (.f64 -1 (.f64 (+.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (.f64 2 (.f64 f (-.f64 f (.f64 -1 f))))) (-.f64 f (.f64 -1 f)))) (.f64 -2 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2))))))) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 f (.f64 -1 f))) (.f64 -2 (-.f64 f (.f64 -1 f)))) n)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))) (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2))))))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.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)))
(*.f64 -1 (cbrt.f64 -1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (*.f64 -1 (cbrt.f64 -1)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (+.f64 (.f64 -1 (cbrt.f64 -1)) (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1))))) (pow.f64 n 2)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1))))) (pow.f64 n 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (*.f64 f (cbrt.f64 -1))))) (pow.f64 n 3))))))

Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n))) 1)
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1))
(+.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (expm1.f64 1))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n)))) 1)
(+.f64 (fma.f64 4 (/.f64 (.f64 (E.f64) (.f64 f f)) (.f64 n n)) (+.f64 (E.f64) (.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1)
(fma.f64 4 (.f64 (/.f64 (E.f64) n) (/.f64 (.f64 f f) n)) (+.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (expm1.f64 1)))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (.f64 2 (/.f64 (.f64 (E.f64) f) n))))) 1)
(+.f64 (fma.f64 4 (/.f64 (.f64 (E.f64) (.f64 f f)) (.f64 n n)) (+.f64 (E.f64) (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 2 (/.f64 (E.f64) (/.f64 n f)))))) -1)
(fma.f64 4 (.f64 (/.f64 (E.f64) n) (/.f64 (.f64 f f) n)) (+.f64 (fma.f64 2 (.f64 (/.f64 (E.f64) n) f) (.f64 22/3 (*.f64 (/.f64 (E.f64) (pow.f64 n 3)) (pow.f64 f 3)))) (expm1.f64 1)))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2))) f)) (fma.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f) (expm1.f64 -1)))
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 n) n) 3) (fma.f64 n (pow.f64 (-.f64 (neg.f64 n) n) 2) (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))) 1))
(+.f64 (.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2))) f)) (+.f64 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 3) (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (fma.f64 n (pow.f64 (.f64 n -2) 2) (.f64 (pow.f64 n 3) -2))))) (fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (expm1.f64 -1))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f) (expm1.f64 -1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (exp.f64 -1) (/.f64 (fma.f64 -1 (.f64 n (-.f64 n (neg.f64 n))) (.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (*.f64 f f) (exp.f64 -1))))) -1)
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 n n) 2) (.f64 n (.f64 n -2))) (.f64 f f)) (exp.f64 -1)) (expm1.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (+.f64 (exp.f64 -1) (/.f64 (fma.f64 -1 (.f64 n (-.f64 n (neg.f64 n))) (.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (.f64 f f) (exp.f64 -1)))) (neg.f64 (/.f64 (fma.f64 -1 (.f64 n (pow.f64 (-.f64 n (neg.f64 n)) 2)) (fma.f64 (.f64 n n) (-.f64 n (neg.f64 n)) (.f64 1/6 (pow.f64 (-.f64 n (neg.f64 n)) 3)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))))) -1)
(+.f64 -1 (+.f64 (.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 n n) 2) (.f64 n (.f64 n -2))) (.f64 f f)) (exp.f64 -1)) (+.f64 (-.f64 (exp.f64 -1) (.f64 (/.f64 (-.f64 (fma.f64 (.f64 n n) (+.f64 n n) (.f64 1/6 (pow.f64 (+.f64 n n) 3))) (.f64 n (pow.f64 (+.f64 n n) 2))) (pow.f64 f 3)) (exp.f64 -1))) (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f) (expm1.f64 -1))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (exp.f64 -1)) (.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))) -1)
(fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (+.f64 (.f64 2/3 (*.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (exp.f64 -1))) (expm1.f64 -1)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (fma.f64 2/3 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 f 4) (exp.f64 -1))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (fma.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 n 4)) (pow.f64 f 4)) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (exp.f64 -1)) (exp.f64 -1)))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1))
(+.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 n (-.f64 f (neg.f64 f)))) (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))))) 1))
(+.f64 (+.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 f (+.f64 f f) (.f64 1/2 (.f64 f (*.f64 f 4)))))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1)
(+.f64 (+.f64 (+.f64 (E.f64) (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))))) (+.f64 (/.f64 (E.f64) (/.f64 n (-.f64 f (neg.f64 f)))) (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (fma.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2) (fma.f64 1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (.f64 (.f64 f f) (-.f64 f (neg.f64 f))))))))) -1)
(+.f64 (+.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (+.f64 (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 f (+.f64 f f) (.f64 1/2 (.f64 f (.f64 f 4))))) (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (fma.f64 f (.f64 f (.f64 f 4)) (fma.f64 1/6 (pow.f64 (+.f64 f f) 3) (*.f64 2 (pow.f64 f 3))))))) (expm1.f64 1))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1))
(+.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 n (-.f64 f (neg.f64 f)))) (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))))) 1))
(+.f64 (+.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 f (+.f64 f f) (.f64 1/2 (.f64 f (*.f64 f 4)))))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (.f64 -1 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (+.f64 (/.f64 (E.f64) (/.f64 n (-.f64 f (neg.f64 f)))) (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))))) (neg.f64 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (fma.f64 -1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (.f64 -1 (+.f64 (.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2)) (.f64 (.f64 f f) (-.f64 f (neg.f64 f)))))))))) 1))
(+.f64 (+.f64 (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 f (+.f64 f f) (.f64 1/2 (.f64 f (.f64 f 4))))) (-.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (fma.f64 (pow.f64 (+.f64 f f) 3) -1/6 (neg.f64 (fma.f64 f (.f64 f (.f64 f 4)) (*.f64 2 (pow.f64 f 3)))))))) (expm1.f64 1))
1
(+.f64 1 (*.f64 6 (/.f64 f n)))
(fma.f64 6 (/.f64 f n) 1)
(+.f64 (.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (.f64 6 (/.f64 f n))))
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(+.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)))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.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 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (.f64 f 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)))))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (.f64 f 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)))
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (.f64 f 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)))))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (.f64 f f))) -1))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (.f64 f 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)))))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (.f64 f 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)))
(-.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 (+.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 f) (/.f64 (pow.f64 n 3) (-.f64 f (neg.f64 f)))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 -1 (cbrt.f64 -1))
(neg.f64 (cbrt.f64 -1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (*.f64 -1 (cbrt.f64 -1)))
(fma.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 (neg.f64 f) (cbrt.f64 -1))) n) (neg.f64 (cbrt.f64 -1)))
(-.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 f f)) n))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (+.f64 (.f64 -1 (cbrt.f64 -1)) (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1))))) (pow.f64 n 2)))))
(fma.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 (neg.f64 f) (cbrt.f64 -1))) n) (.f64 -1 (+.f64 (cbrt.f64 -1) (/.f64 f (/.f64 (.f64 n n) (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 (neg.f64 f) (cbrt.f64 -1))))))))
(-.f64 (-.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 f f)) n)) (.f64 (/.f64 f n) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 f f)) n)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1)))) n)) (+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (.f64 -1 (/.f64 (.f64 f (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (.f64 f (cbrt.f64 -1))))) (pow.f64 n 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 -1 (*.f64 f (cbrt.f64 -1))))) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 (neg.f64 f) (cbrt.f64 -1))) n) (fma.f64 -1 (cbrt.f64 -1) (.f64 -1 (+.f64 (/.f64 f (/.f64 (.f64 n n) (-.f64 (.f64 f (cbrt.f64 -1)) (.f64 (neg.f64 f) (cbrt.f64 -1))))) (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (.f64 f (cbrt.f64 -1)) (*.f64 (neg.f64 f) (cbrt.f64 -1)))))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 (neg.f64 f) f) (.f64 (cbrt.f64 -1) (+.f64 f f))) (pow.f64 n 3)) (.f64 (/.f64 f n) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 f f)) n))) (cbrt.f64 -1)) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 f f)) n))

eval113.0ms (2.8%)

Compiler: Compiled 6678 to 3775 computations (43.5% saved)

prune860.0ms (21.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	269	3	272

Error

Counts

272 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.1b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))
✓	0.3b	(pow.f64 (/.f64 n f) 3)
✓	8.8b	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)))

series14.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

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

rewrite88.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`fma-def_binary64`
249×	`fma-neg_binary64`
191×	`expm1-udef_binary64`
191×	`log1p-udef_binary64`
154×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	229	40
2	3230	40

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-def_binary64`
495×	`unswap-sqr_binary64`
349×	`times-frac_binary64`
266×	`distribute-lft-out_binary64`
225×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	1062
1	40	1062
2	92	831
3	339	807
4	1994	765
5	3905	765
6	4674	765

Stop Event

1×	node limit

Counts

257 → 196

Calls

Call 1

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

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

eval86.0ms (2.1%)

Compiler: Compiled 4702 to 2436 computations (48.2% saved)

prune483.0ms (11.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	196	3	199

Error

Counts

199 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.1b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))

Compiler

Compiled 43 to 27 computations (37.2% saved)

regimes15.0ms (0.4%)

Accuracy

Total -31.9b remaining (-88919.6%)

Threshold costs -31.9b (-88919.6%)

Counts

6 → 1

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Outputs
(cbrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))

Results

Time	Error	Segments	Branch
5.0ms	0.0b	1	`f`
5.0ms	0.0b	1	`n`
3.0ms	0.0b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 90 to 43 computations (52.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	14	19
2	19	19
3	21	19
4	22	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))

Outputs
(cbrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))

end19.0ms (0.5%)

Stop Event

1×

done

Compiler

Compiled 28 to 20 computations (28.6% saved)

Details

analyze234.0ms (5.7%)

sample779.0ms (19.1%)

preprocess69.0ms (1.7%)

simplify52.0ms (1.3%)

eval0.0ms (0%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite168.0ms (4.1%)

simplify41.0ms (1%)

eval14.0ms (0.4%)

prune52.0ms (1.3%)

localize6.0ms (0.2%)

series10.0ms (0.2%)

rewrite57.0ms (1.4%)

simplify51.0ms (1.2%)

eval78.0ms (1.9%)

prune577.0ms (14.1%)

localize9.0ms (0.2%)

series12.0ms (0.3%)

rewrite55.0ms (1.3%)

simplify46.0ms (1.1%)

eval113.0ms (2.8%)

prune860.0ms (21.1%)

localize11.0ms (0.3%)

series14.0ms (0.4%)

rewrite88.0ms (2.2%)

simplify66.0ms (1.6%)

eval86.0ms (2.1%)

prune483.0ms (11.9%)

regimes15.0ms (0.4%)

simplify2.0ms (0%)

end19.0ms (0.5%)

Profiling