Details

analyze72.0ms (2.6%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample807.0ms (29.3%)

Results

795.0ms

8256×

body

256

valid

preprocess90.0ms (3.3%)

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 12 to 8 computations (33.3% saved)

simplify50.0ms (1.8%)

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))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	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	n	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	f	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	n	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	f	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite45.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

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 exp.f64 (log.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))))))))

simplify46.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

665×	`times-frac_binary64`
553×	`div-sub_binary64`
521×	`fma-def_binary64`
472×	`distribute-frac-neg_binary64`
352×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 57

Calls

Call 1

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

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

eval92.0ms (3.3%)

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

prune10.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Error

0.0b

Counts

58 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.8b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	32.1b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.8b	1
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.3b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	31.6b	-1
▶	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))

Compiler

Compiled 55 to 39 computations (29.1% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series23.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	n	@	inf	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
1.0ms	n	@	0	(/.f64 1 (-.f64 n f))
1.0ms	n	@	inf	(/.f64 1 (-.f64 n f))
0.0ms	f	@	-inf	(/.f64 1 (-.f64 n f))
0.0ms	f	@	0	(/.f64 1 (-.f64 n f))

rewrite182.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	184	17
2	2802	17

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

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

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

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

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

828×	`times-frac_binary64`
669×	`div-sub_binary64`
629×	`fma-def_binary64`
440×	`associate-/l*_binary64`
405×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	999
1	335	915
2	1167	765
3	6039	765

Stop Event

1×	node limit

Counts

163 → 152

Calls

Call 1

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

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

localize8.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	1.9b	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	0.0b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	1.9b	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series9.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	-inf	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	inf	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	0	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	0	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite128.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`prod-diff_binary64`
599×	`unpow-prod-down_binary64`
425×	`log-prod_binary64`
331×	`fma-def_binary64`
227×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	165	22
2	2513	22

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

simplify42.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

613×	`associate-/r*_binary64`
520×	`associate-r_binary64`
512×	`associate-/l*_binary64`
460×	`associate-l_binary64`
449×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1262
1	549	1083
2	2010	909

Stop Event

1×	node limit

Counts

170 → 179

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (/.f64 f n) (log.f64 2))
(+.f64 (/.f64 f n) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 f n) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 n 2)) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (log.f64 (-.f64 (.f64 -1 n) n)))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 n 2)) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 n 3)) (+.f64 (.f64 -6 (pow.f64 n 3)) (.f64 2 (pow.f64 n 3)))) (pow.f64 f 3))) (log.f64 (-.f64 (.f64 -1 n) n))))))
(+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (-.f64 n (*.f64 -1 n)))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 (-.f64 n (.f64 -1 n))) (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 n 2)) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))))))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 n 3)) (+.f64 (.f64 -6 (pow.f64 n 3)) (.f64 -2 (pow.f64 n 3)))) (pow.f64 f 3))) (+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 (-.f64 n (.f64 -1 n))) (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 n 2)) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2)))))))
(+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f)))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (.f64 2 (/.f64 1 f)))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -3/2 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (.f64 3 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 -1/4 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (pow.f64 n 2))))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -3 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))) (.f64 3/2 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2))))) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 -1/4 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (pow.f64 n 2))))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))

Outputs
(log.f64 2)
(+.f64 (/.f64 f n) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 f n))
(+.f64 (/.f64 f n) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (/.f64 f n) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (.f64 f f) (*.f64 n n)))))
(+.f64 (/.f64 f n) (fma.f64 1/2 (*.f64 (/.f64 f n) (/.f64 f n)) (log.f64 2)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 f n) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (.f64 f f) (*.f64 n n))))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 f n) (/.f64 f n)) (log.f64 2)) (fma.f64 1/3 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 f n)))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 f n) (/.f64 f n)) (log.f64 2)) (fma.f64 1/3 (pow.f64 (/.f64 f n) 3) (/.f64 f n)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n)))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (-.f64 (neg.f64 n) n)))
(-.f64 (log.f64 (*.f64 n -2)) (log.f64 f))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))
(+.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (-.f64 (neg.f64 n) n))) (/.f64 n f))
(+.f64 (-.f64 (log.f64 (*.f64 n -2)) (log.f64 f)) (/.f64 n f))
(+.f64 (log.f64 (*.f64 n -2)) (-.f64 (/.f64 n f) (log.f64 f)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 n 2)) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (log.f64 (-.f64 (.f64 -1 n) n)))))
(+.f64 (+.f64 (/.f64 n f) (neg.f64 (log.f64 f))) (fma.f64 1/2 (/.f64 (.f64 (.f64 n n) 1) (*.f64 f f)) (log.f64 (-.f64 (neg.f64 n) n))))
(+.f64 (fma.f64 1/2 (/.f64 n (/.f64 (.f64 f f) n)) (log.f64 (.f64 n -2))) (-.f64 (/.f64 n f) (log.f64 f)))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 n f) (/.f64 n f)) (log.f64 (.f64 n -2))) (-.f64 (/.f64 n f) (log.f64 f)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 n 2)) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 n 3)) (+.f64 (.f64 -6 (pow.f64 n 3)) (.f64 2 (pow.f64 n 3)))) (pow.f64 f 3))) (log.f64 (-.f64 (.f64 -1 n) n))))))
(+.f64 (+.f64 (/.f64 n f) (neg.f64 (log.f64 f))) (fma.f64 1/2 (/.f64 (.f64 (.f64 n n) 1) (.f64 f f)) (fma.f64 1/6 (/.f64 (fma.f64 6 (pow.f64 n 3) (.f64 (pow.f64 n 3) -4)) (pow.f64 f 3)) (log.f64 (-.f64 (neg.f64 n) n)))))
(+.f64 (fma.f64 1/2 (/.f64 n (/.f64 (.f64 f f) n)) (fma.f64 1/6 (/.f64 (.f64 2 (pow.f64 n 3)) (pow.f64 f 3)) (log.f64 (*.f64 n -2)))) (-.f64 (/.f64 n f) (log.f64 f)))
(+.f64 (log.f64 (.f64 n -2)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 n f) 3) (.f64 (/.f64 1/2 f) (/.f64 (*.f64 n n) f))) (-.f64 (/.f64 n f) (log.f64 f))))
(+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (-.f64 (neg.f64 n) n)))
(-.f64 (log.f64 (*.f64 n -2)) (log.f64 f))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (-.f64 n (*.f64 -1 n)))))
(+.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (-.f64 (neg.f64 n) n))) (/.f64 n f))
(+.f64 (-.f64 (log.f64 (*.f64 n -2)) (log.f64 f)) (/.f64 n f))
(+.f64 (log.f64 (*.f64 n -2)) (-.f64 (/.f64 n f) (log.f64 f)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 (-.f64 n (.f64 -1 n))) (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 n 2)) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))))))
(+.f64 (+.f64 (/.f64 n f) (neg.f64 (log.f64 f))) (fma.f64 1/2 (/.f64 (.f64 (.f64 n n) 1) (*.f64 f f)) (log.f64 (-.f64 (neg.f64 n) n))))
(+.f64 (fma.f64 1/2 (/.f64 n (/.f64 (.f64 f f) n)) (log.f64 (.f64 n -2))) (-.f64 (/.f64 n f) (log.f64 f)))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 n f) (/.f64 n f)) (log.f64 (.f64 n -2))) (-.f64 (/.f64 n f) (log.f64 f)))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 n 3)) (+.f64 (.f64 -6 (pow.f64 n 3)) (.f64 -2 (pow.f64 n 3)))) (pow.f64 f 3))) (+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 (-.f64 n (.f64 -1 n))) (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 n 2)) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2)))))))
(+.f64 (+.f64 (/.f64 n f) (neg.f64 (log.f64 f))) (fma.f64 1/2 (/.f64 (.f64 (.f64 n n) 1) (.f64 f f)) (fma.f64 1/6 (/.f64 (fma.f64 6 (pow.f64 n 3) (.f64 (pow.f64 n 3) -4)) (pow.f64 f 3)) (log.f64 (-.f64 (neg.f64 n) n)))))
(+.f64 (fma.f64 1/2 (/.f64 n (/.f64 (.f64 f f) n)) (fma.f64 1/6 (/.f64 (.f64 2 (pow.f64 n 3)) (pow.f64 f 3)) (log.f64 (*.f64 n -2)))) (-.f64 (/.f64 n f) (log.f64 f)))
(+.f64 (log.f64 (.f64 n -2)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 n f) 3) (.f64 (/.f64 1/2 f) (/.f64 (*.f64 n n) f))) (-.f64 (/.f64 n f) (log.f64 f))))
(+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f)))))
(+.f64 (log.f64 n) (log.f64 (neg.f64 (/.f64 2 f))))
(+.f64 (log.f64 n) (log.f64 (/.f64 -2 f)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (/.f64 2 f)))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (/.f64 -2 f))))
(+.f64 (log.f64 n) (+.f64 (/.f64 n f) (log.f64 (/.f64 -2 f))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (.f64 2 (/.f64 1 f)))))))
(fma.f64 1/2 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (/.f64 2 f))))))
(+.f64 (+.f64 (log.f64 n) (log.f64 (/.f64 -2 f))) (fma.f64 1/2 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 n f)))
(+.f64 (log.f64 (/.f64 -2 f)) (+.f64 (log.f64 n) (fma.f64 1/2 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 n f))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))))
(fma.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 1/2 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (/.f64 2 f)))))))
(fma.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (+.f64 (log.f64 n) (log.f64 (/.f64 -2 f))) (fma.f64 1/2 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 n f))))
(fma.f64 1/3 (pow.f64 (/.f64 n f) 3) (+.f64 (log.f64 (/.f64 -2 f)) (+.f64 (log.f64 n) (fma.f64 1/2 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 n f)))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)))
(+.f64 (log.f64 2) (/.f64 f n))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2)))))
(+.f64 (log.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 f (neg.f64 f)) n) (/.f64 (fma.f64 (-.f64 f (neg.f64 f)) f (.f64 -1/4 (pow.f64 (-.f64 f (neg.f64 f)) 2))) (*.f64 n n)))))
(fma.f64 1/2 (+.f64 (.f64 2 (/.f64 f n)) (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) (.f64 n n))) (log.f64 2))
(+.f64 (/.f64 f n) (+.f64 (log.f64 2) (/.f64 (+.f64 (.f64 f f) (.f64 f (.f64 f -1/2))) (.f64 n n))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -3/2 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (.f64 3 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 -1/4 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (pow.f64 n 2))))))
(+.f64 (log.f64 2) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 f (neg.f64 f)) 3) (fma.f64 -3/2 (.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2)) (.f64 3 (.f64 (.f64 f f) (-.f64 f (neg.f64 f)))))) (pow.f64 n 3)) (.f64 1/2 (+.f64 (/.f64 (-.f64 f (neg.f64 f)) n) (/.f64 (fma.f64 (-.f64 f (neg.f64 f)) f (.f64 -1/4 (pow.f64 (-.f64 f (neg.f64 f)) 2))) (*.f64 n n))))))
(+.f64 (log.f64 2) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (+.f64 f f) 3) (fma.f64 -3/2 (.f64 f (pow.f64 (+.f64 f f) 2)) (.f64 3 (.f64 2 (pow.f64 f 3))))) (pow.f64 n 3)) (.f64 1/2 (+.f64 (.f64 2 (/.f64 f n)) (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) (.f64 n n))))))
(+.f64 (log.f64 2) (+.f64 (/.f64 (+.f64 (.f64 f f) (.f64 f (.f64 f -1/2))) (.f64 n n)) (fma.f64 1/6 (/.f64 (+.f64 (.f64 (pow.f64 f 3) 6) (.f64 (.f64 (.f64 f f) 4) (+.f64 (.f64 f -3/2) (.f64 1/2 f)))) (pow.f64 n 3)) (/.f64 f n))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)))
(+.f64 (log.f64 2) (/.f64 f n))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2)))))
(+.f64 (log.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 f (neg.f64 f)) n) (/.f64 (fma.f64 (-.f64 f (neg.f64 f)) f (.f64 -1/4 (pow.f64 (-.f64 f (neg.f64 f)) 2))) (*.f64 n n)))))
(fma.f64 1/2 (+.f64 (.f64 2 (/.f64 f n)) (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) (.f64 n n))) (log.f64 2))
(+.f64 (/.f64 f n) (+.f64 (log.f64 2) (/.f64 (+.f64 (.f64 f f) (.f64 f (.f64 f -1/2))) (.f64 n n))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -3 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))) (.f64 3/2 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2))))) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 -1/4 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (pow.f64 n 2))))))
(+.f64 (log.f64 2) (fma.f64 -1/6 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 f (neg.f64 f)) 3) (fma.f64 -3 (.f64 (.f64 f f) (-.f64 f (neg.f64 f))) (.f64 (.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2)) 3/2))) (pow.f64 n 3)) (.f64 1/2 (+.f64 (/.f64 (-.f64 f (neg.f64 f)) n) (/.f64 (fma.f64 (-.f64 f (neg.f64 f)) f (.f64 -1/4 (pow.f64 (-.f64 f (neg.f64 f)) 2))) (*.f64 n n))))))
(+.f64 (log.f64 2) (fma.f64 1/2 (+.f64 (.f64 2 (/.f64 f n)) (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) (.f64 n n))) (/.f64 -1/6 (/.f64 (pow.f64 n 3) (fma.f64 -1/4 (pow.f64 (+.f64 f f) 3) (fma.f64 (.f64 f (pow.f64 (+.f64 f f) 2)) 3/2 (.f64 (*.f64 2 (pow.f64 f 3)) -3)))))))
(+.f64 (log.f64 2) (fma.f64 -1/6 (/.f64 (+.f64 (.f64 (pow.f64 f 3) -6) (.f64 (.f64 (.f64 f f) 4) (+.f64 (.f64 f 3/2) (.f64 -1/2 f)))) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (+.f64 (.f64 f f) (.f64 f (.f64 f -1/2))) (.f64 n 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 f n) (+.f64 (/.f64 2 (/.f64 n f)) 2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (*.f64 (/.f64 f n) (+.f64 (/.f64 2 (/.f64 n f)) 2))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f f)) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 -2 f) (/.f64 n (/.f64 f n))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (+.f64 (/.f64 (neg.f64 n) f) (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f f))) (/.f64 (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n (/.f64 (.f64 f f) n)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f f)) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 -2 f) (/.f64 n (/.f64 f n))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(-.f64 (+.f64 (+.f64 (/.f64 (neg.f64 n) f) (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f f))) (/.f64 (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n (/.f64 (.f64 f f) n)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f f)) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 -2 f) (/.f64 n (/.f64 f n))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(-.f64 (+.f64 (+.f64 (/.f64 (neg.f64 n) f) (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f f))) (/.f64 (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n (/.f64 (.f64 f f) n)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (/.f64 2 (/.f64 n f)) 2)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (*.f64 (/.f64 f n) (+.f64 (/.f64 2 (/.f64 n f)) 2))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (/.f64 2 (/.f64 n f)) 2)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (*.f64 (/.f64 f n) (+.f64 (/.f64 2 (/.f64 n f)) 2))))

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

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

rewrite40.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

eval123.0ms (4.5%)

Compiler: Compiled 6866 to 3070 computations (55.3% saved)

prune64.0ms (2.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	405	3	408
Fresh	1	1	2
Picked	0	1	1
Done	1	3	4
Total	407	8	415

Error

Counts

415 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.8b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.1b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.8b	1
▶	0.1b	(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
▶	0.1b	(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
	31.6b	-1
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 72 to 46 computations (36.1% saved)

localize6.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite53.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	173	23
2	2383	23

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

512×	`sub-neg_binary64`
496×	`fma-def_binary64`
491×	`times-frac_binary64`
290×	`distribute-neg-frac_binary64`
288×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	996
1	291	963
2	1009	737
3	5458	699

Stop Event

1×	node limit

Counts

107 → 95

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
904×	`add-log-exp_binary64`
904×	`log1p-expm1-u_binary64`
904×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	16
2	2414	16

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

564×	`times-frac_binary64`
519×	`fma-def_binary64`
515×	`sub-neg_binary64`
370×	`div-sub_binary64`
330×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	629
1	288	574
2	1049	382
3	5837	381

Stop Event

1×	node limit

Counts

46 → 48

Calls

Call 1

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

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

eval69.0ms (2.5%)

Compiler: Compiled 4327 to 1830 computations (57.7% saved)

prune32.0ms (1.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	235	8	243

Error

Counts

243 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.8b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.1b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.1b	(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
✓	0.1b	(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
	32.8b	1
	31.6b	-1
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 72 to 46 computations (36.1% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.8b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.1b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.1b	(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
✓	0.1b	(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
	32.8b	1
	31.6b	-1
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 72 to 46 computations (36.1% saved)

regimes25.0ms (0.9%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	f
7.0ms	n
5.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 103 to 51 computations (50.5% saved)

regimes54.0ms (2%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	f
25.0ms	n

Results

Error	Segments	Branch
13.8b	5	`f`
11.3b	5	`n`

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch71.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	388951867627.8923	2.862997951804894e+27
17.0ms	-7.709548087072705e-51	-7.89755630389594e-54
18.0ms	-1.0465172999074706e-13	-4.097374560438832e-15
18.0ms	-2.6476397496637592e+63	-7.473302596074561e+57

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes48.0ms (1.8%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	n
23.0ms	f

Results

Error	Segments	Branch
14.2b	5	`f`
11.6b	5	`n`

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch77.0ms (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	388951867627.8923	2.862997951804894e+27
22.0ms	-7.709548087072705e-51	-7.89755630389594e-54
17.0ms	-1.0465172999074706e-13	-4.097374560438832e-15
21.0ms	-2.6476397496637592e+63	-7.473302596074561e+57

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes48.0ms (1.7%)

Counts

4 → 5

Calls

Call 1

Inputs
1
1
1
-1

Outputs
1
-1
1
-1
1

Calls

2 calls:

25.0ms	n
21.0ms	f

Results

Error	Segments	Branch
14.4b	5	`f`
12.2b	5	`n`

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch72.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	388951867627.8923	2.862997951804894e+27
20.0ms	-7.709548087072705e-51	-7.89755630389594e-54
17.0ms	-1.0465172999074706e-13	-4.097374560438832e-15
18.0ms	-1.1288238676881295e+53	-5.383929802293134e+52

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
1
1
1

Outputs
1

Calls

2 calls:

4.0ms	f
3.0ms	n

Results

Error	Segments	Branch
32.8b	1	`f`
32.8b	1	`n`

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	161
1	49	161
2	53	161
3	55	161
4	56	161

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -2647639749663759217289045057567376935380562176900335817354903552) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n -8291364271105819/79228162514264337593543950336) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 n -207849005255313376/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 6372587399215387/16384) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -2647639749663759217289045057567376935380562176900335817354903552) 1 (if (<=.f64 n -8291364271105819/79228162514264337593543950336) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 n -207849005255313376/26959946667150639794667015087019630673637144422540572481103610249216) 1 (if (<=.f64 n 6372587399215387/16384) (-.f64 (.f64 -2 (/.f64 n f)) 1) 1))))
(if (<=.f64 n -112882386768812945370864373214437525160216771675815936) 1 (if (<=.f64 n -8291364271105819/79228162514264337593543950336) -1 (if (<=.f64 n -207849005255313376/26959946667150639794667015087019630673637144422540572481103610249216) 1 (if (<=.f64 n 6372587399215387/16384) -1 1))))
1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -2647639749663759217289045057567376935380562176900335817354903552) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n -8291364271105819/79228162514264337593543950336) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 n -207849005255313376/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 6372587399215387/16384) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -2647639749663759217289045057567376935380562176900335817354903552) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n -8291364271105819/79228162514264337593543950336) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (<=.f64 n -6495281414228543/842498333348457493583344221469363458551160763204392890034487820288) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 6372587399215387/16384) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -2647639749663759217289045057567376935380562176900335817354903552) 1 (if (<=.f64 n -8291364271105819/79228162514264337593543950336) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 n -207849005255313376/26959946667150639794667015087019630673637144422540572481103610249216) 1 (if (<=.f64 n 6372587399215387/16384) (-.f64 (.f64 -2 (/.f64 n f)) 1) 1))))
(if (<=.f64 n -2647639749663759217289045057567376935380562176900335817354903552) 1 (if (<=.f64 n -8291364271105819/79228162514264337593543950336) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (<=.f64 n -6495281414228543/842498333348457493583344221469363458551160763204392890034487820288) 1 (if (<=.f64 n 6372587399215387/16384) (+.f64 (.f64 -2 (/.f64 n f)) -1) 1))))
(if (<=.f64 n -112882386768812945370864373214437525160216771675815936) 1 (if (<=.f64 n -8291364271105819/79228162514264337593543950336) -1 (if (<=.f64 n -207849005255313376/26959946667150639794667015087019630673637144422540572481103610249216) 1 (if (<=.f64 n 6372587399215387/16384) -1 1))))
(if (<=.f64 n -112882386768812945370864373214437525160216771675815936) 1 (if (<=.f64 n -8291364271105819/79228162514264337593543950336) -1 (if (<=.f64 n -6495281414228543/842498333348457493583344221469363458551160763204392890034487820288) 1 (if (<=.f64 n 6372587399215387/16384) -1 1))))
1

end65.0ms (2.4%)

Stop Event

1×

fuel

Compiler

Compiled 238 to 169 computations (29% saved)

Details

analyze72.0ms (2.6%)

sample807.0ms (29.3%)

preprocess90.0ms (3.3%)

simplify50.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series4.0ms (0.2%)

rewrite45.0ms (1.6%)

simplify46.0ms (1.7%)

eval92.0ms (3.3%)

prune10.0ms (0.4%)

localize5.0ms (0.2%)

series23.0ms (0.8%)

rewrite182.0ms (6.6%)

simplify68.0ms (2.5%)

localize8.0ms (0.3%)

series9.0ms (0.3%)

rewrite128.0ms (4.7%)

simplify42.0ms (1.5%)

localize4.0ms (0.2%)

localize4.0ms (0.2%)

series5.0ms (0.2%)

rewrite40.0ms (1.5%)

simplify6.0ms (0.2%)

eval123.0ms (4.5%)

prune64.0ms (2.3%)

localize6.0ms (0.2%)

series6.0ms (0.2%)

rewrite53.0ms (1.9%)

simplify74.0ms (2.7%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite48.0ms (1.7%)

simplify48.0ms (1.7%)

eval69.0ms (2.5%)

prune32.0ms (1.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes25.0ms (0.9%)

regimes54.0ms (2%)

bsearch71.0ms (2.6%)

regimes48.0ms (1.8%)

bsearch77.0ms (2.8%)

regimes48.0ms (1.7%)

bsearch72.0ms (2.6%)

regimes9.0ms (0.3%)

simplify5.0ms (0.2%)

end65.0ms (2.4%)

Profiling