Details

analyze39.0ms (1.8%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample887.0ms (41%)

Results

873.0ms

8256×

body

128

valid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess63.0ms (2.9%)

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)

simplify50.0ms (2.3%)

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))

prune2.0ms (0.1%)

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

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

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

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	n	@	0	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite40.0ms (1.8%)

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

Outputs

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

simplify23.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

822×	`associate-/l*_binary64`
504×	`associate-/r*_binary64`
384×	`associate-/r/_binary64`
251×	`cancel-sign-sub-inv_binary64`
194×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	426
1	112	393
2	383	342
3	1549	324

Stop Event

1×	node limit

Counts

59 → 49

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

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

prune36.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

Counts

50 → 4

Alt Table

Status	Error	Program
	30.3b	(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
	33.2b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))
▶	0.0b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 738 to 317 computations (57% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.5b	(+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.5b	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series24.0ms (1.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	f	@	0	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
1.0ms	f	@	0	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	0	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	-inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite61.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`prod-diff_binary64`
183×	`log1p-udef_binary64`
106×	`add-sqr-sqrt_binary64`
104×	`*-un-lft-identity_binary64`
104×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	224	34
2	3045	34

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))

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

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

simplify54.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

503×	`fma-neg_binary64`
448×	`cancel-sign-sub-inv_binary64`
444×	`times-frac_binary64`
311×	`associate-/l*_binary64`
292×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1707
1	302	1617
2	938	1488
3	4128	1464

Stop Event

1×	node limit

Counts

190 → 163

Calls

Call 1

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

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

prune171.0ms (7.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	212	4	216

Error

Counts

216 → 4

Alt Table

Status	Error	Program
▶	30.3b	(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
	33.2b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))
✓	0.0b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 3657 to 1616 computations (55.8% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 f n))
✓	0.0b	(/.f64 1 (-.f64 n f))
✓	0.1b	(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
✓	0.2b	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f)))

series19.0ms (0.9%)

Counts

4 → 64

Calls

24 calls:

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

rewrite54.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`prod-diff_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
112×	`add-sqr-sqrt_binary64`
108×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	221	35
2	3102	35

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

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

simplify56.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-neg_binary64`
550×	`fma-def_binary64`
258×	`associate-r_binary64`
247×	`associate-l_binary64`
174×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1394
1	390	1351
2	1266	1240
3	4559	1234

Stop Event

1×	node limit

Counts

168 → 161

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 n))
(+.f64 (sqrt.f64 (/.f64 1 n)) (.f64 3/2 (.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3))))))
(+.f64 (sqrt.f64 (/.f64 1 n)) (+.f64 (.f64 11/8 (.f64 (pow.f64 f 2) (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (.f64 3/2 (.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))))
(+.f64 (sqrt.f64 (/.f64 1 n)) (+.f64 (.f64 11/8 (.f64 (pow.f64 f 2) (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (+.f64 (.f64 23/16 (.f64 (pow.f64 f 3) (sqrt.f64 (/.f64 1 (pow.f64 n 7))))) (.f64 3/2 (.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3))))))))
(*.f64 -1 (sqrt.f64 (/.f64 1 f)))
(neg.f64 (+.f64 (.f64 3/2 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (sqrt.f64 (/.f64 1 f))))
(neg.f64 (+.f64 (.f64 3/2 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (+.f64 (sqrt.f64 (/.f64 1 f)) (.f64 11/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 1 (pow.f64 f 5))))))))
(neg.f64 (+.f64 (.f64 3/2 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (+.f64 (sqrt.f64 (/.f64 1 f)) (+.f64 (.f64 23/16 (.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 1 (pow.f64 f 7))))) (.f64 11/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))))))))
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
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 2 (/.f64 n f)))))
(neg.f64 (+.f64 1 (+.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
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 2 (/.f64 n f)))))
(neg.f64 (+.f64 1 (+.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
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 2 (/.f64 n f)))))
(neg.f64 (+.f64 1 (+.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 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
1
(+.f64 (*.f64 2 (/.f64 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))))))
(/.f64 -1 f)
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 1 f)))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f))))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(/.f64 -1 f)
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 1 f)))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f))))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f)))))
(/.f64 -1 f)
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 1 f)))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f))))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f)))))
(sqrt.f64 n)
(+.f64 (.f64 1/2 (.f64 f (sqrt.f64 (/.f64 1 n)))) (sqrt.f64 n))
(-.f64 (+.f64 (.f64 1/2 (.f64 f (sqrt.f64 (/.f64 1 n)))) (sqrt.f64 n)) (.f64 1/8 (.f64 (pow.f64 f 2) (sqrt.f64 (/.f64 1 (pow.f64 n 3))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 f (sqrt.f64 (/.f64 1 n)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 f 3) (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (sqrt.f64 n))) (.f64 1/8 (.f64 (pow.f64 f 2) (sqrt.f64 (/.f64 1 (pow.f64 n 3))))))
(sqrt.f64 f)
(+.f64 (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f)))) (sqrt.f64 f))
(-.f64 (+.f64 (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f)))) (sqrt.f64 f)) (.f64 1/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 1 (pow.f64 f 3))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 1 (pow.f64 f 5))))) (sqrt.f64 f))) (.f64 1/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 1 (pow.f64 f 3))))))

Outputs
(sqrt.f64 (/.f64 1 n))
(+.f64 (sqrt.f64 (/.f64 1 n)) (.f64 3/2 (.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3))))))
(+.f64 (sqrt.f64 (/.f64 1 n)) (.f64 (.f64 3/2 f) (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))
(fma.f64 (*.f64 3/2 f) (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (sqrt.f64 (/.f64 1 n)))
(fma.f64 3/2 (*.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) (sqrt.f64 (/.f64 1 n)))
(+.f64 (sqrt.f64 (/.f64 1 n)) (+.f64 (.f64 11/8 (.f64 (pow.f64 f 2) (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (.f64 3/2 (.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))))
(+.f64 (sqrt.f64 (/.f64 1 n)) (fma.f64 11/8 (.f64 (.f64 f f) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (.f64 (.f64 3/2 f) (sqrt.f64 (/.f64 1 (pow.f64 n 3))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) (.f64 11/8 (.f64 f f))) (fma.f64 (.f64 3/2 f) (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (sqrt.f64 (/.f64 1 n))))
(fma.f64 3/2 (.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) (fma.f64 11/8 (.f64 (*.f64 f f) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 n))))
(+.f64 (sqrt.f64 (/.f64 1 n)) (+.f64 (.f64 11/8 (.f64 (pow.f64 f 2) (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (+.f64 (.f64 23/16 (.f64 (pow.f64 f 3) (sqrt.f64 (/.f64 1 (pow.f64 n 7))))) (.f64 3/2 (.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3))))))))
(+.f64 (sqrt.f64 (/.f64 1 n)) (fma.f64 11/8 (.f64 (.f64 f f) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (fma.f64 23/16 (.f64 (pow.f64 f 3) (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (.f64 (*.f64 3/2 f) (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))))
(+.f64 (fma.f64 (.f64 11/8 (.f64 f f)) (sqrt.f64 (/.f64 1 (pow.f64 n 5))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 7))) (.f64 23/16 (pow.f64 f 3)))) (fma.f64 (*.f64 3/2 f) (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (sqrt.f64 (/.f64 1 n))))
(+.f64 (fma.f64 3/2 (.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) (.f64 23/16 (.f64 (pow.f64 f 3) (sqrt.f64 (/.f64 1 (pow.f64 n 7)))))) (fma.f64 11/8 (.f64 (*.f64 f f) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 n))))
(*.f64 -1 (sqrt.f64 (/.f64 1 f)))
(neg.f64 (sqrt.f64 (/.f64 1 f)))
(neg.f64 (+.f64 (.f64 3/2 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (sqrt.f64 (/.f64 1 f))))
(neg.f64 (fma.f64 3/2 (*.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (sqrt.f64 (/.f64 1 f))))
(-.f64 (.f64 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) -3/2) (sqrt.f64 (/.f64 1 f)))
(-.f64 (.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2)) (sqrt.f64 (/.f64 1 f)))
(neg.f64 (+.f64 (.f64 3/2 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (+.f64 (sqrt.f64 (/.f64 1 f)) (.f64 11/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 1 (pow.f64 f 5))))))))
(neg.f64 (+.f64 (fma.f64 3/2 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (sqrt.f64 (/.f64 1 f))) (.f64 (.f64 11/8 (.f64 n n)) (sqrt.f64 (/.f64 1 (pow.f64 f 5))))))
(-.f64 (.f64 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) -3/2) (fma.f64 11/8 (.f64 (.f64 n n) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (sqrt.f64 (/.f64 1 f))))
(-.f64 (.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2)) (fma.f64 11/8 (.f64 (.f64 n n) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (sqrt.f64 (/.f64 1 f))))
(neg.f64 (+.f64 (.f64 3/2 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (+.f64 (sqrt.f64 (/.f64 1 f)) (+.f64 (.f64 23/16 (.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 1 (pow.f64 f 7))))) (.f64 11/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))))))))
(neg.f64 (+.f64 (fma.f64 3/2 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (sqrt.f64 (/.f64 1 f))) (fma.f64 23/16 (.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (.f64 (.f64 11/8 (*.f64 n n)) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))))))
(-.f64 (-.f64 (.f64 (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) -3/2) (sqrt.f64 (/.f64 1 f))) (fma.f64 11/8 (.f64 (.f64 n n) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 7))) (.f64 (pow.f64 n 3) 23/16))))
(-.f64 (.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2)) (fma.f64 (pow.f64 n 3) (.f64 23/16 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (fma.f64 11/8 (.f64 (*.f64 n n) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (sqrt.f64 (/.f64 1 f)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) (.f64 n -3/2) (.f64 (.f64 (.f64 n n) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) -11/8)) (fma.f64 (pow.f64 n 3) (*.f64 23/16 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (sqrt.f64 (/.f64 1 f))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)) 1))
(fma.f64 2 (/.f64 f n) (fma.f64 (/.f64 2 n) (/.f64 (*.f64 f f) n) 1))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)) 1)))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (/.f64 (*.f64 f f) n) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (neg.f64 (*.f64 2 (/.f64 n f))))
(-.f64 -1 (/.f64 2 (/.f64 f n)))
(fma.f64 (/.f64 n f) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 2 (/.f64 n f)))))
(+.f64 -1 (neg.f64 (.f64 2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))))
(-.f64 -1 (.f64 2 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (*.f64 f f)))))
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
(neg.f64 (+.f64 1 (+.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))))))
(+.f64 -1 (neg.f64 (fma.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))))))
(-.f64 -1 (.f64 2 (+.f64 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (*.f64 f f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 -1 (.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (neg.f64 (*.f64 2 (/.f64 n f))))
(-.f64 -1 (/.f64 2 (/.f64 f n)))
(fma.f64 (/.f64 n f) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 2 (/.f64 n f)))))
(+.f64 -1 (neg.f64 (.f64 2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))))
(-.f64 -1 (.f64 2 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (*.f64 f f)))))
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
(neg.f64 (+.f64 1 (+.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))))))
(+.f64 -1 (neg.f64 (fma.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))))))
(-.f64 -1 (.f64 2 (+.f64 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (*.f64 f f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 -1 (.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (neg.f64 (*.f64 2 (/.f64 n f))))
(-.f64 -1 (/.f64 2 (/.f64 f n)))
(fma.f64 (/.f64 n f) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 2 (/.f64 n f)))))
(+.f64 -1 (neg.f64 (.f64 2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))))
(-.f64 -1 (.f64 2 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (*.f64 f f)))))
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
(neg.f64 (+.f64 1 (+.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))))))
(+.f64 -1 (neg.f64 (fma.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))))))
(-.f64 -1 (.f64 2 (+.f64 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (*.f64 f f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 -1 (.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 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 f (/.f64 (*.f64 n n) f)) 1))
(fma.f64 2 (/.f64 f n) (fma.f64 (/.f64 2 n) (/.f64 (*.f64 f f) n) 1))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)) 1)))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (/.f64 (*.f64 f f) n) 1))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 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 f (/.f64 (*.f64 n n) f)) 1))
(fma.f64 2 (/.f64 f n) (fma.f64 (/.f64 2 n) (/.f64 (*.f64 f f) n) 1))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)) 1)))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (/.f64 (*.f64 f f) n) 1))
(/.f64 -1 f)
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 1 f)))
(neg.f64 (+.f64 (/.f64 1 f) (/.f64 n (*.f64 f f))))
(-.f64 (/.f64 -1 f) (/.f64 n (*.f64 f f)))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f))))
(neg.f64 (+.f64 (/.f64 n (.f64 f f)) (+.f64 (/.f64 1 f) (/.f64 (.f64 n n) (pow.f64 f 3)))))
(+.f64 (neg.f64 (+.f64 (/.f64 n (.f64 f f)) (/.f64 (.f64 n n) (pow.f64 f 3)))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (.f64 f f))))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f)))))
(neg.f64 (+.f64 (/.f64 n (.f64 f f)) (+.f64 (+.f64 (/.f64 1 f) (/.f64 (.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))))
(-.f64 (/.f64 (neg.f64 n) (.f64 f f)) (+.f64 (/.f64 (.f64 n n) (pow.f64 f 3)) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))))
(-.f64 (-.f64 (/.f64 -1 f) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (.f64 f f)))) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))))
(+.f64 (+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (/.f64 1 n)) (/.f64 f (.f64 n n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (/.f64 f (/.f64 (pow.f64 n 3) f))))
(+.f64 (/.f64 1 n) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (+.f64 (+.f64 (/.f64 1 n) (/.f64 f (.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (+.f64 (/.f64 f (*.f64 n n)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 f (/.f64 (pow.f64 n 3) f))))
(+.f64 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))) (+.f64 (/.f64 1 n) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))))
(+.f64 (+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (/.f64 1 n)) (/.f64 f (.f64 n n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (/.f64 f (/.f64 (pow.f64 n 3) f))))
(+.f64 (/.f64 1 n) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (+.f64 (+.f64 (/.f64 1 n) (/.f64 f (.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (+.f64 (/.f64 f (*.f64 n n)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 f (/.f64 (pow.f64 n 3) f))))
(+.f64 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))) (+.f64 (/.f64 1 n) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))))
(+.f64 (+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (/.f64 1 n)) (/.f64 f (.f64 n n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (/.f64 f (/.f64 (pow.f64 n 3) f))))
(+.f64 (/.f64 1 n) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (/.f64 (.f64 f f) (pow.f64 n 3)) (+.f64 (+.f64 (/.f64 1 n) (/.f64 f (.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (+.f64 (/.f64 f (*.f64 n n)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 f (/.f64 (pow.f64 n 3) f))))
(+.f64 (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f (.f64 n n))) (+.f64 (/.f64 1 n) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(/.f64 -1 f)
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 1 f)))
(neg.f64 (+.f64 (/.f64 1 f) (/.f64 n (*.f64 f f))))
(-.f64 (/.f64 -1 f) (/.f64 n (*.f64 f f)))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f))))
(neg.f64 (+.f64 (/.f64 n (.f64 f f)) (+.f64 (/.f64 1 f) (/.f64 (.f64 n n) (pow.f64 f 3)))))
(+.f64 (neg.f64 (+.f64 (/.f64 n (.f64 f f)) (/.f64 (.f64 n n) (pow.f64 f 3)))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (.f64 f f))))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f)))))
(neg.f64 (+.f64 (/.f64 n (.f64 f f)) (+.f64 (+.f64 (/.f64 1 f) (/.f64 (.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))))
(-.f64 (/.f64 (neg.f64 n) (.f64 f f)) (+.f64 (/.f64 (.f64 n n) (pow.f64 f 3)) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))))
(-.f64 (-.f64 (/.f64 -1 f) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (.f64 f f)))) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))
(/.f64 -1 f)
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 1 f)))
(neg.f64 (+.f64 (/.f64 1 f) (/.f64 n (*.f64 f f))))
(-.f64 (/.f64 -1 f) (/.f64 n (*.f64 f f)))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f))))
(neg.f64 (+.f64 (/.f64 n (.f64 f f)) (+.f64 (/.f64 1 f) (/.f64 (.f64 n n) (pow.f64 f 3)))))
(+.f64 (neg.f64 (+.f64 (/.f64 n (.f64 f f)) (/.f64 (.f64 n n) (pow.f64 f 3)))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (.f64 f f))))
(neg.f64 (+.f64 (/.f64 n (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 1 f)))))
(neg.f64 (+.f64 (/.f64 n (.f64 f f)) (+.f64 (+.f64 (/.f64 1 f) (/.f64 (.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))))
(-.f64 (/.f64 (neg.f64 n) (.f64 f f)) (+.f64 (/.f64 (.f64 n n) (pow.f64 f 3)) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))))
(-.f64 (-.f64 (/.f64 -1 f) (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (.f64 f f)))) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))
(sqrt.f64 n)
(+.f64 (.f64 1/2 (.f64 f (sqrt.f64 (/.f64 1 n)))) (sqrt.f64 n))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 n)) f) (sqrt.f64 n))
(fma.f64 (sqrt.f64 (/.f64 1 n)) (*.f64 f 1/2) (sqrt.f64 n))
(-.f64 (+.f64 (.f64 1/2 (.f64 f (sqrt.f64 (/.f64 1 n)))) (sqrt.f64 n)) (.f64 1/8 (.f64 (pow.f64 f 2) (sqrt.f64 (/.f64 1 (pow.f64 n 3))))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 n)) f) (sqrt.f64 n)) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 f f))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 n)) f) (sqrt.f64 n)) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 f f)) -1/8))
(fma.f64 (.f64 (.f64 f f) -1/8) (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (fma.f64 (sqrt.f64 (/.f64 1 n)) (*.f64 f 1/2) (sqrt.f64 n)))
(-.f64 (+.f64 (.f64 1/2 (.f64 f (sqrt.f64 (/.f64 1 n)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 f 3) (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (sqrt.f64 n))) (.f64 1/8 (.f64 (pow.f64 f 2) (sqrt.f64 (/.f64 1 (pow.f64 n 3))))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 n)) f) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) (pow.f64 f 3)) (sqrt.f64 n))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (*.f64 f f))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 n)) f) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) (pow.f64 f 3)) (sqrt.f64 n))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (*.f64 f f)) -1/8))
(fma.f64 (.f64 f (.f64 f (sqrt.f64 (/.f64 1 (pow.f64 n 3))))) -1/8 (fma.f64 (sqrt.f64 (/.f64 1 n)) (.f64 f 1/2) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) (.f64 (pow.f64 f 3) 1/16) (sqrt.f64 n))))
(sqrt.f64 f)
(+.f64 (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f)))) (sqrt.f64 f))
(fma.f64 1/2 (*.f64 n (sqrt.f64 (/.f64 1 f))) (sqrt.f64 f))
(fma.f64 n (*.f64 (sqrt.f64 (/.f64 1 f)) 1/2) (sqrt.f64 f))
(-.f64 (+.f64 (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f)))) (sqrt.f64 f)) (.f64 1/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 1 (pow.f64 f 3))))))
(+.f64 (fma.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f))) (sqrt.f64 f)) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) (.f64 n n))))
(-.f64 (fma.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f))) (sqrt.f64 f)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) (.f64 (.f64 n n) 1/8)))
(fma.f64 (.f64 n (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) -1/8 (fma.f64 n (*.f64 (sqrt.f64 (/.f64 1 f)) 1/2) (sqrt.f64 f)))
(-.f64 (+.f64 (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 1 (pow.f64 f 5))))) (sqrt.f64 f))) (.f64 1/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 1 (pow.f64 f 3))))))
(+.f64 (fma.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f))) (fma.f64 1/16 (.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (sqrt.f64 f))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) (*.f64 n n))))
(+.f64 (fma.f64 1/2 (.f64 n (sqrt.f64 (/.f64 1 f))) (fma.f64 1/16 (.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (sqrt.f64 f))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) (*.f64 n n)) -1/8))
(fma.f64 (.f64 n (.f64 n (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) -1/8 (fma.f64 n (.f64 (sqrt.f64 (/.f64 1 f)) 1/2) (fma.f64 (pow.f64 n 3) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 5))) 1/16) (sqrt.f64 f))))

prune93.0ms (4.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	204	4	208

Error

Counts

208 → 4

Alt Table

Status	Error	Program
✓	30.3b	(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
▶	33.2b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))
✓	0.0b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 4235 to 1901 computations (55.1% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))
✓	0.0b	(+.f64 f (*.f64 (/.f64 f n) f))
✓	0.1b	(*.f64 (/.f64 f n) f)
✓	1.6b	(.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f)))

series15.0ms (0.7%)

Counts

4 → 96

Calls

24 calls:

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

rewrite75.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`fma-def_binary64`
280×	`fma-neg_binary64`
221×	`expm1-udef_binary64`
221×	`log1p-udef_binary64`
130×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	254	44
2	3809	44

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (/.f64 f n)) (.f64 (/.f64 2 n) (.f64 f (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 n) (.f64 f (/.f64 f n))) (.f64 2 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2 (/.f64 f n)) 1) (.f64 (.f64 (/.f64 2 n) (.f64 f (/.f64 f n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2 (/.f64 (fma.f64 f (/.f64 f n) f) n) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 n (fma.f64 f (/.f64 f n) f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 f (/.f64 f n) f) (/.f64 n 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (.f64 2 (fma.f64 f (/.f64 f n) f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 f 3) (pow.f64 (.f64 f (/.f64 f n)) 3)) (.f64 (/.f64 n 2) (fma.f64 (.f64 f (/.f64 f n)) (fma.f64 f (/.f64 f n) (neg.f64 f)) (.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 f f) 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n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 f 3) (pow.f64 (.f64 f (/.f64 f n)) 3)) 2) (.f64 (fma.f64 (.f64 f (/.f64 f n)) (fma.f64 f (/.f64 f n) (neg.f64 f)) (.f64 f f)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 f f) (pow.f64 (.f64 f (/.f64 f n)) 2)) 2) (.f64 (-.f64 f (.f64 f (/.f64 f n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 f 3) (pow.f64 (.f64 f (/.f64 f n)) 3)) 1) (.f64 (fma.f64 (.f64 f (/.f64 f n)) (fma.f64 f (/.f64 f n) (neg.f64 f)) (.f64 f f)) (/.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 f f) (pow.f64 (.f64 f (/.f64 f n)) 2)) 1) (.f64 (-.f64 f (.f64 f (/.f64 f n))) (/.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 f 3) (pow.f64 (.f64 f (/.f64 f n)) 3)) -2) (.f64 (fma.f64 (.f64 f (/.f64 f n)) (fma.f64 f (/.f64 f n) (neg.f64 f)) (.f64 f f)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 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simplify42.0ms (2%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-/l*_binary64`
520×	`associate-/l/_binary64`
453×	`associate-/r*_binary64`
410×	`associate-*l/_binary64`
359×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	1173
1	43	1149
2	81	1038
3	185	936
4	886	936

Stop Event

1×	node limit

Counts

333 → 251

Calls

Call 1

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

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

prune138.0ms (6.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	251	4	255

Error

Counts

255 → 4

Alt Table

Status	Error	Program
✓	30.3b	(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
✓	33.2b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))
✓	0.0b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 5030 to 2302 computations (54.2% saved)

regimes127.0ms (5.9%)

Accuracy

Total 0.0b remaining (70.4%)

Threshold costs 0.0b (70.4%)

Counts

83 → 1

Compiler

Compiled 892 to 407 computations (54.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-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	12	21
1	18	21
2	21	21
3	23	21
4	24	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fma.f64 1 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) -1)))

Outputs
(log.f64 (+.f64 1 (fma.f64 1 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) -1)))

end60.0ms (2.8%)

Stop Event

1×

done

Compiler

Compiled 86 to 57 computations (33.7% saved)

Details

analyze39.0ms (1.8%)

sample887.0ms (41%)

preprocess63.0ms (2.9%)

simplify50.0ms (2.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite40.0ms (1.8%)

simplify23.0ms (1.1%)

prune36.0ms (1.7%)

localize8.0ms (0.4%)

series24.0ms (1.1%)

rewrite61.0ms (2.8%)

simplify54.0ms (2.5%)

prune171.0ms (7.9%)

localize7.0ms (0.3%)

series19.0ms (0.9%)

rewrite54.0ms (2.5%)

simplify56.0ms (2.6%)

prune93.0ms (4.3%)

localize8.0ms (0.4%)

series15.0ms (0.7%)

rewrite75.0ms (3.5%)

simplify42.0ms (2%)

prune138.0ms (6.4%)

regimes127.0ms (5.9%)

simplify2.0ms (0.1%)

end60.0ms (2.8%)

Profiling