Details

analyze184.0ms (11.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.2%	0.1%	6
46.8%	53.1%	0.1%	7
56.2%	43.7%	0.1%	8
71%	28.9%	0.1%	9
76.5%	23.4%	0.1%	10
84.9%	15%	0.1%	11
87.8%	12.1%	0.1%	12
92.2%	7.7%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample861.0ms (55.9%)

Results

849.0ms

8256×

body

128

valid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess66.0ms (4.3%)

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 (3.3%)

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 (0.2%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (2.8%)

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

Outputs

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

simplify27.0ms (1.7%)

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)))))

prune32.0ms (2.1%)

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
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.1b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
	33.8b	(fma.f64 (/.f64 n f) -2 -1)
	29.0b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 702 to 299 computations (57.4% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series8.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	n	@	inf	(/.f64 1 (-.f64 n f))
1.0ms	n	@	0	(/.f64 1 (-.f64 n f))
0.0ms	f	@	0	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
0.0ms	n	@	-inf	(/.f64 1 (-.f64 n f))
0.0ms	f	@	inf	(/.f64 1 (-.f64 n f))

rewrite50.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`prod-diff_binary64`
306×	`fma-def_binary64`
158×	`expm1-udef_binary64`
158×	`log1p-udef_binary64`
137×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	180	17
2	2629	17

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

Outputs

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

simplify41.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

491×	`associate-/r/_binary64`
347×	`associate-/l/_binary64`
345×	`cancel-sign-sub-inv_binary64`
224×	`fma-neg_binary64`
217×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	918
1	173	879
2	590	780
3	2300	753

Stop Event

1×	node limit

Counts

119 → 99

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))))))
(/.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)))))

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

prune54.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Error

Counts

103 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.1b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
	33.8b	(fma.f64 (/.f64 n f) -2 -1)
▶	29.0b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 1451 to 649 computations (55.3% saved)

localize4.0ms (0.3%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.1b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
▶	33.8b	(fma.f64 (/.f64 n f) -2 -1)
✓	29.0b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize4.0ms (0.3%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.1b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
✓	33.8b	(fma.f64 (/.f64 n f) -2 -1)
✓	29.0b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes35.0ms (2.2%)

Accuracy

Total 0.0b remaining (57.6%)

Threshold costs 0.0b (57.6%)

Counts

9 → 1

Compiler

Compiled 81 to 46 computations (43.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	14	10
3	16	10
4	17	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end61.0ms (4%)

Stop Event

1×

done

Compiler

Compiled 54 to 34 computations (37% saved)

Details

analyze184.0ms (11.9%)

sample861.0ms (55.9%)

preprocess66.0ms (4.3%)

simplify50.0ms (3.3%)

prune2.0ms (0.2%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite43.0ms (2.8%)

simplify27.0ms (1.7%)

prune32.0ms (2.1%)

localize6.0ms (0.4%)

series8.0ms (0.5%)

rewrite50.0ms (3.2%)

simplify41.0ms (2.6%)

prune54.0ms (3.5%)

localize4.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

prune2.0ms (0.1%)

regimes35.0ms (2.2%)

simplify2.0ms (0.1%)

end61.0ms (4%)

Profiling