Details

analyze62.0ms (3.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
40.6%	40.6%	59.3%	0.1%	0%	0%	0%	7
55.6%	54.6%	43.7%	0.1%	1.6%	0%	0%	8
65.3%	63.2%	33.6%	0.1%	3.1%	0%	0%	9
75.1%	70.6%	23.4%	0.1%	5.9%	0%	0%	10
80.9%	75.1%	17.8%	0.1%	7%	0%	0%	11
86.7%	78.9%	12.1%	0.1%	8.9%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (63.5%)

Results

1.1s	8256×	body	256	valid
23.0ms	319×	body	256	infinite

Bogosity

preprocess61.0ms (3.4%)

Algorithm

2×	egg-herbie

Rules

372×	`fma-def_binary64`
348×	`fma-neg_binary64`
253×	`times-frac_binary64`
210×	`div-sub_binary64`
151×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	17	14
2	32	14
3	53	14
4	104	14
5	194	14
6	341	14
7	864	14
8	2586	14
9	3140	14
10	3231	14
11	3243	14
12	3245	14
13	3255	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (-.f64 x y) x)
(/.f64 (-.f64 y x) y)

Outputs
(/.f64 (-.f64 x y) x)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 y x) y)
(-.f64 1 (/.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify35.0ms (2%)

Algorithm

1×	egg-herbie

Rules

221×	`fma-def_binary64`
170×	`fma-neg_binary64`
139×	`div-sub_binary64`
107×	`times-frac_binary64`
67×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	30	7
4	56	7
5	84	7
6	141	7
7	255	7
8	563	7
9	884	7
10	1228	7
11	1286	7
12	1352	7
13	1393	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) x)

Outputs
(/.f64 (-.f64 x y) x)
(-.f64 1 (/.f64 y x))

eval0.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) x)
▶	0.0b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(-.f64 1 (/.f64 y x))
0.0ms	y	@	0	(-.f64 1 (/.f64 y x))
0.0ms	x	@	0	(-.f64 1 (/.f64 y x))
0.0ms	x	@	-inf	(-.f64 1 (/.f64 y x))
0.0ms	x	@	inf	(-.f64 1 (/.f64 y x))

rewrite47.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1714	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.f64 1 (/.f64 y x))

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

Outputs

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

simplify41.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-def_binary64`
540×	`associate-/l/_binary64`
502×	`div-sub_binary64`
432×	`distribute-rgt-in_binary64`
395×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	541
1	184	511
2	653	501
3	3323	501

Stop Event

1×	node limit

Counts

52 → 35

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(+.f64 1 (*.f64 (/.f64 (neg.f64 y) x) 1))
(+.f64 (/.f64 (neg.f64 y) x) 1)
(*.f64 1 (-.f64 1 (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 y x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 (-.f64 1 (/.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (-.f64 1 (/.f64 y x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))) (-.f64 1 (pow.f64 (/.f64 y x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (neg.f64 (+.f64 1 (/.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) x) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 y) x))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (-.f64 1 (/.f64 (neg.f64 y) x)))
(pow.f64 (-.f64 1 (/.f64 y x)) 1)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y x))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))

Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 (/.f64 (neg.f64 y) x) 1))
(-.f64 1 (/.f64 y x))
(+.f64 (/.f64 (neg.f64 y) x) 1)
(-.f64 1 (/.f64 y x))
(*.f64 1 (-.f64 1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 1 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2))
(-.f64 1 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 1 (/.f64 y x)) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))) (-.f64 1 (pow.f64 (/.f64 y x) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 1 (/.f64 y x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 1 (/.f64 y x)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 1 (/.f64 y x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (neg.f64 (+.f64 1 (/.f64 y x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) x) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 y) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 1 (/.f64 y x)) 1))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (-.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(pow.f64 (-.f64 1 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3) 1/3)
(-.f64 1 (/.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 3)
(-.f64 1 (/.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) 2)
(-.f64 1 (/.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 2))
(-.f64 1 (/.f64 y x))
(log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3))
(-.f64 1 (/.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series14.0ms (0.8%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	(/.f64 (-.f64 x y) x)
1.0ms	x	@	inf	(/.f64 (-.f64 x y) x)
0.0ms	y	@	inf	(/.f64 (-.f64 x y) x)
0.0ms	x	@	0	(/.f64 (-.f64 x y) x)
0.0ms	y	@	-inf	(/.f64 (-.f64 x y) x)

rewrite50.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
738×	`add-log-exp_binary64`
738×	`log1p-expm1-u_binary64`
738×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	119	7
2	1913	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) x)

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

Outputs

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

simplify39.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

334×	`associate-l_binary64`
310×	`div-sub_binary64`
294×	`associate-r_binary64`
293×	`log-prod_binary64`
211×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	399
1	221	399
2	725	399
3	4131	399

Stop Event

1×	node limit

Counts

57 → 41

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 1 (-.f64 1 (/.f64 y x))) 1)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (-.f64 1 (/.f64 y x)) 1)
(*.f64 1 (-.f64 1 (/.f64 y x)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 (-.f64 1 (/.f64 y x))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (-.f64 1 (/.f64 y x))))
(.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 x)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (-.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 x y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 x)))
(pow.f64 (-.f64 1 (/.f64 y x)) 1)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) 2)
(pow.f64 (/.f64 x (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y x))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y x))))
(exp.f64 (log.f64 (-.f64 1 (/.f64 y x))))

Outputs
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(-.f64 (+.f64 1 (-.f64 1 (/.f64 y x))) 1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 1 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 1 (-.f64 1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 1 x) (-.f64 x y))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 x y) (sqrt.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) x))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) x))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (/.f64 y x))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 x y) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(pow.f64 (-.f64 1 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3) 1/3)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 3)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) 2)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(pow.f64 (/.f64 x (-.f64 x y)) -1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 2))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 x 3)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(exp.f64 (log.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)

eval27.0ms (1.5%)

Compiler: Compiled 803 to 407 computations (49.3% saved)

prune38.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Error

Counts

78 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
▶	39.4b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	23.7b	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize4.0ms (0.2%)

Compiler: Compiled 10 to 4 computations (60% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	39.4b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	23.7b	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	39.4b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	23.7b	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	39.4b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	23.7b	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes12.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(/.f64 (neg.f64 y) x)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)

Outputs
(-.f64 1 (/.f64 y x))

Calls

3 calls:

4.0ms	(/.f64 (-.f64 x y) x)
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (-.f64 x y) x)`

Compiler

Compiled 30 to 18 computations (40% saved)

regimes37.0ms (2.1%)

Accuracy

Total -47.6b remaining (-335.8%)

Threshold costs -47.6b (-335.8%)

Counts

2 → 3

Calls

Call 1

Inputs
1
(/.f64 (neg.f64 y) x)

Outputs
1
(/.f64 (neg.f64 y) x)
1

Calls

2 calls:

25.0ms	x
12.0ms	y

Results

Error	Segments	Branch
14.2b	3	`x`
17.4b	3	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch63.0ms (3.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	8.388098766272354e+22	1.9262555396749495e+30
48.0ms	-1.1716914848556522e-24	-4.87411097466219e-63

Results

59.0ms	320×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 232 to 188 computations (19% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	23	28
2	28	28
3	31	28
4	32	28

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 1 (/.f64 y x))
(if (<=.f64 x -3588908100331093/27606985387162255149739023449108101809804435888681546220650096895197184) 1 (if (<=.f64 x 129999999999999995805696) (/.f64 (neg.f64 y) x) 1))
1

Outputs
(-.f64 1 (/.f64 y x))
(if (<=.f64 x -3588908100331093/27606985387162255149739023449108101809804435888681546220650096895197184) 1 (if (<=.f64 x 129999999999999995805696) (/.f64 (neg.f64 y) x) 1))
1

Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness68.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

221×	`fma-def_binary64`
170×	`fma-neg_binary64`
139×	`div-sub_binary64`
107×	`times-frac_binary64`
67×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	30	7
4	56	7
5	84	7
6	141	7
7	255	7
8	563	7
9	884	7
10	1228	7
11	1286	7
12	1352	7
13	1393	7

Stop Event

1×

saturated

Compiler

Compiled 23 to 14 computations (39.1% saved)

end26.0ms (1.5%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

Details

analyze62.0ms (3.5%)

sample1.1s (63.5%)

preprocess61.0ms (3.4%)

simplify35.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite47.0ms (2.7%)

simplify41.0ms (2.3%)

localize4.0ms (0.3%)

series14.0ms (0.8%)

rewrite50.0ms (2.8%)

simplify39.0ms (2.2%)

eval27.0ms (1.5%)

prune38.0ms (2.1%)

localize4.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes12.0ms (0.7%)

regimes37.0ms (2.1%)

bsearch63.0ms (3.6%)

simplify3.0ms (0.2%)

soundness68.0ms (3.8%)

end26.0ms (1.5%)

Profiling