Details

analyze243.0ms (12.5%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample782.0ms (40.1%)

Results

764.0ms

8256×

body

128

valid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess60.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

762×	`fma-neg_binary64`
504×	`fma-def_binary64`
425×	`times-frac_binary64`
376×	`div-sub_binary64`
206×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	29	24
2	55	24
3	116	24
4	271	24
5	568	20
6	1384	20
7	3080	20
8	4110	20
9	4417	20
10	4558	20
11	4596	20
12	4606	20
13	4606	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify49.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
448×	`times-frac_binary64`
307×	`div-sub_binary64`
143×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	82	12
4	182	12
5	331	12
6	818	10
7	2221	10
8	3129	10
9	3837	10
10	3958	10
11	4001	10
12	4011	10
13	4011	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

Outputs

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

simplify40.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

59 → 58

Calls

Call 1

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

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

prune165.0ms (8.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Error

Counts

59 → 3

Alt Table

Status	Error	Program
	30.3b	(fma.f64 (/.f64 n f) -2 -1)
	32.6b	(fma.f64 2 (/.f64 f n) 1)
▶	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 910 to 430 computations (52.7% saved)

localize13.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

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

rewrite123.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`prod-diff_binary64`
233×	`egg-rr`
171×	`log1p-udef_binary64`
100×	`add-sqr-sqrt_binary64`
97×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	189	20
2	2892	20

Stop Event

1×	node limit

Counts

2 → 280

Calls

Call 1

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

Outputs
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Outputs

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

simplify46.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

261×	`cancel-sign-sub-inv_binary64`
261×	`fma-neg_binary64`
210×	`unsub-neg_binary64`
202×	`fma-def_binary64`
184×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1464
1	635	1096
2	2585	762

Stop Event

1×	node limit

Counts

328 → 330

Calls

Call 1

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

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

prune213.0ms (11%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	330	0	330
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	330	3	333

Error

Counts

333 → 3

Alt Table

Status	Error	Program
▶	30.3b	(fma.f64 (/.f64 n f) -2 -1)
	32.6b	(fma.f64 2 (/.f64 f n) 1)
✓	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 14156 to 4513 computations (68.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (/.f64 n f) -2 -1)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	n	@	inf	(fma.f64 (/.f64 n f) -2 -1)
1.0ms	n	@	0	(fma.f64 (/.f64 n f) -2 -1)
1.0ms	n	@	-inf	(fma.f64 (/.f64 n f) -2 -1)
0.0ms	f	@	-inf	(fma.f64 (/.f64 n f) -2 -1)
0.0ms	f	@	0	(fma.f64 (/.f64 n f) -2 -1)

rewrite39.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
634×	`add-log-exp_binary64`
634×	`log1p-expm1-u_binary64`
634×	`expm1-log1p-u_binary64`
70×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	141	8
2	1678	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-neg_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`+-commutative_binary64`
1×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	168
1	17	168
2	23	168
3	27	168
4	29	168
5	30	168

Stop Event

1×

saturated

Counts

46 → 26

Calls

Call 1

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

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

prune16.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Error

Counts

29 → 3

Alt Table

Status	Error	Program
✓	30.3b	(fma.f64 (/.f64 n f) -2 -1)
▶	32.6b	(fma.f64 2 (/.f64 f n) 1)
✓	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 302 to 194 computations (35.8% saved)

localize4.0ms (0.2%)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	30.3b	(fma.f64 (/.f64 n f) -2 -1)
✓	32.6b	(fma.f64 2 (/.f64 f n) 1)
✓	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes23.0ms (1.2%)

Accuracy

Total 0.0b remaining (57.8%)

Threshold costs 0.0b (57.8%)

Counts

12 → 1

Compiler

Compiled 103 to 56 computations (45.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	15	13
3	17	13
4	18	13

Stop Event

1×

saturated

Calls

Call 1

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

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

end49.0ms (2.5%)

Stop Event

1×

done

Compiler

Compiled 49 to 33 computations (32.7% saved)

Details

analyze243.0ms (12.5%)

sample782.0ms (40.1%)

preprocess60.0ms (3.1%)

simplify49.0ms (2.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite42.0ms (2.2%)

simplify40.0ms (2.1%)

prune165.0ms (8.5%)

localize13.0ms (0.7%)

series9.0ms (0.4%)

rewrite123.0ms (6.3%)

simplify46.0ms (2.4%)

prune213.0ms (11%)

localize4.0ms (0.2%)

series3.0ms (0.2%)

rewrite39.0ms (2%)

simplify10.0ms (0.5%)

prune16.0ms (0.8%)

localize4.0ms (0.2%)

prune3.0ms (0.1%)

regimes23.0ms (1.2%)

simplify2.0ms (0.1%)

end49.0ms (2.5%)

Profiling