Details

analyze61.0ms (2.1%)

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 (37.4%)

Results

1.0s	8256×	body	256	valid
59.0ms	367×	body	256	infinite

Bogosity

preprocess73.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

586×	`associate-r`
532×	`associate-*r/`
464×	`associate-/r*`
412×	`fma-def`
360×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	19	26
2	33	26
3	55	26
4	104	26
5	200	26
6	394	26
7	1013	26
8	2730	26
9	3160	26
10	3497	26
11	3511	26
12	3513	26
13	3525	26
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)

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

326×	`fma-def`
210×	`associate-/r*`
194×	`associate-r`
180×	`associate-*r/`
166×	`associate--r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	12	13
2	20	13
3	33	13
4	56	13
5	88	13
6	156	13
7	285	13
8	600	13
9	1049	13
10	1547	13
11	1649	13
12	1746	13
13	1792	13

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%)

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

0.0b

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 (0.2%)

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
0.0ms	y	@	inf	(-.f64 1 (/.f64 y x))
0.0ms	x	@	inf	(-.f64 1 (/.f64 y x))
0.0ms	x	@	0	(-.f64 1 (/.f64 y x))
0.0ms	y	@	0	(-.f64 1 (/.f64 y x))
0.0ms	x	@	-inf	(-.f64 1 (/.f64 y x))

rewrite54.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`add-sqr-sqrt`
1614×	`*-un-lft-identity`
1506×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
150×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	13
2	1957	13

Stop Event

1×	node limit

Counts

1 → 30

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

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-*r/`
1184×	`associate-/r*`
944×	`associate-r`
904×	`distribute-lft-in`
790×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	1062
1	198	1002
2	794	982
3	3526	982

Stop Event

1×	node limit

Counts

54 → 37

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

localize4.0ms (0.2%)

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)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`add-sqr-sqrt`
1770×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1642×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	139	13
2	2131	13

Stop Event

1×	node limit

Counts

1 → 34

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

simplify73.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-+r+`
1040×	`associate-/r/`
1002×	`associate-r`
974×	`associate-+l+`
854×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	846
1	218	822
2	818	822
3	4075	822

Stop Event

1×	node limit

Counts

58 → 45

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

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

eval14.0ms (0.5%)

Compiler: Compiled 830 to 417 computations (49.8% saved)

prune30.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	5	84

Error

Counts

84 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(pow.f64 (/.f64 x (-.f64 x y)) -1)
✓	0.0b	(/.f64 (-.f64 x y) x)
▶	32.7b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	30.2b	1

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize4.0ms (0.1%)

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 x y))
✓	0.2b	(pow.f64 (/.f64 x (-.f64 x y)) -1)

Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (/.f64 x (-.f64 x y)) -1)
1.0ms	y	@	0	(pow.f64 (/.f64 x (-.f64 x y)) -1)
0.0ms	y	@	-inf	(pow.f64 (/.f64 x (-.f64 x y)) -1)
0.0ms	x	@	inf	(pow.f64 (/.f64 x (-.f64 x y)) -1)
0.0ms	y	@	inf	(pow.f64 (/.f64 x (-.f64 x y)) -1)

rewrite76.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1998×	`add-sqr-sqrt`
1972×	`*-un-lft-identity`
1854×	`add-cube-cbrt`
1834×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	181	26
2	2464	26

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

866×	`associate-/r/`
730×	`unswap-sqr`
718×	`*-commutative`
602×	`associate-+r+`
562×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	3011
1	766	2713
2	3231	2587

Stop Event

1×	node limit

Counts

127 → 154

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 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)))) (+.f64 (pow.f64 y 3) (.f64 -1 (pow.f64 y 3)))) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 3)) (.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 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1 x) x))) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))) (.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 x y)) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1 x) x) x) (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 x y)) (.f64 -1 (/.f64 y x))))))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1 (/.f64 x y)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) x))) 1)
(-.f64 (/.f64 x x) (/.f64 y x))
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 x y) x) 1)
(*.f64 1 (/.f64 (-.f64 x y) x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 (/.f64 (-.f64 x y) x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) -2)) (cbrt.f64 (/.f64 (-.f64 x y) x)))
(*.f64 (/.f64 1 x) (-.f64 x y))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 x y) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 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) 1) (/.f64 (cbrt.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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1) (pow.f64 (/.f64 1 (-.f64 x y)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) -1) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) -1))
(/.f64 (-.f64 x y) x)
(/.f64 -1 (neg.f64 (/.f64 x (-.f64 x y))))
(/.f64 1 (/.f64 x (-.f64 x y)))
(/.f64 1 (/.f64 (/.f64 x (-.f64 x y)) 1))
(/.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 (/.f64 x (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 x (sqrt.f64 (-.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 x (cbrt.f64 (-.f64 x y))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 x (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 x (fma.f64 x x (.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 x))
(/.f64 (/.f64 1 x) (/.f64 1 (-.f64 x y)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2)) (cbrt.f64 (/.f64 x (-.f64 x y))))
(/.f64 (/.f64 (-.f64 x y) 1) x)
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) x)))
(exp.f64 (-.f64 (log.f64 (-.f64 x y)) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 x y)))) 1)
(*.f64 x (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 x (-.f64 x y)) 1)
(*.f64 1 (/.f64 x (-.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) (sqrt.f64 (/.f64 x (-.f64 x y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) (cbrt.f64 (/.f64 x (-.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 x (cbrt.f64 (-.f64 x y))))
(.f64 (/.f64 x (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
(.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 x (-.f64 x y))))
(pow.f64 (/.f64 x (-.f64 x y)) 1)
(pow.f64 (/.f64 (-.f64 x y) x) -1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3) 1/3)
(neg.f64 (/.f64 x (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 x y))))

Outputs
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.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 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (fma.f64 -1 (/.f64 (.f64 0 (.f64 y y)) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (/.f64 0 (*.f64 x x)) (/.f64 y x)))
(+.f64 (/.f64 0 (*.f64 x x)) (-.f64 1 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)))) (+.f64 (pow.f64 y 3) (.f64 -1 (pow.f64 y 3)))) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (fma.f64 -1 (/.f64 (.f64 0 (.f64 y y)) (.f64 x x)) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (.f64 y (.f64 0 (.f64 y y))) (.f64 0 (pow.f64 y 3))) (pow.f64 x 3)) (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 0 (*.f64 x x)) (-.f64 (/.f64 0 (pow.f64 x 3)) (/.f64 y x))))
(+.f64 1 (-.f64 (/.f64 0 (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 0 (*.f64 x x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (fma.f64 -1 (/.f64 (.f64 0 (.f64 y y)) (*.f64 x x)) (neg.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (/.f64 0 (*.f64 x x)) (/.f64 y x)))
(+.f64 (/.f64 0 (*.f64 x x)) (-.f64 1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 3)) (.f64 -1 (/.f64 y x)))))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 -1 (/.f64 (.f64 0 (.f64 y y)) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (neg.f64 (/.f64 y x)) (/.f64 y (/.f64 (pow.f64 x 3) (.f64 0 (*.f64 y y)))))))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 0 (*.f64 x x)) (-.f64 (-.f64 (/.f64 0 (pow.f64 x 3)) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 (/.f64 0 (*.f64 x x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 0 (pow.f64 x 3)) (/.f64 y x)) (-.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1))))
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))
(neg.f64 (/.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 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (.f64 -1 (+.f64 (/.f64 (.f64 0 x) y) (/.f64 y x))))
(+.f64 1 (-.f64 (/.f64 0 y) (/.f64 y x)))
(-.f64 (/.f64 0 y) (-.f64 (/.f64 y x) 1))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1 x) x))) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 y 2))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (fma.f64 -1 (/.f64 (.f64 0 x) y) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 x (.f64 0 x)) (.f64 0 (.f64 x x))) (.f64 y y)) (neg.f64 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 0 y) (-.f64 (/.f64 0 (*.f64 y y)) (/.f64 y x))))
(+.f64 1 (-.f64 (/.f64 0 y) (+.f64 (/.f64 y x) (/.f64 0 (*.f64 y y)))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.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 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 x y)) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x)))))
(+.f64 1 (-.f64 (*.f64 0 (/.f64 x y)) (/.f64 y x)))
(-.f64 (*.f64 (/.f64 x y) 0) (-.f64 (/.f64 y x) 1))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1 x) x) x) (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 x y)) (.f64 -1 (/.f64 y x))))))
(+.f64 1 (+.f64 (/.f64 x y) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 x x) (fma.f64 (.f64 0 x) x (.f64 x x))) (.f64 y y)) (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))))))
(+.f64 1 (+.f64 (/.f64 0 (.f64 y y)) (-.f64 (.f64 0 (/.f64 x y)) (/.f64 y x))))
(+.f64 (/.f64 0 (.f64 y y)) (-.f64 (.f64 (/.f64 x y) 0) (-.f64 (/.f64 y x) 1)))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (.f64 y y) (.f64 x x)))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 y x) (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (.f64 y y) (.f64 x x)))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 y x) (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))))
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(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (.f64 y y) (.f64 x x)))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 y x) (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
(*.f64 -1 (/.f64 x y))
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(/.f64 (neg.f64 x) y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(*.f64 -1 (/.f64 x y))
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(/.f64 (neg.f64 x) y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) x))) 1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(-.f64 (/.f64 x x) (/.f64 y x))
(-.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 (-.f64 x y) x) 1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 1 (/.f64 (-.f64 x y) x))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) -2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) -2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) -2)) (cbrt.f64 (/.f64 (-.f64 x y) x)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) -2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 2)))
(*.f64 (/.f64 1 x) (-.f64 x y))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (-.f64 x y)))
(-.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 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 (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 (sqrt.f64 (-.f64 x y)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 x)))
(-.f64 1 (/.f64 y x))
(/.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) 1) (/.f64 (cbrt.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) (sqrt.f64 x)) (/.f64 (cbrt.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) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (pow.f64 x -1) (pow.f64 (/.f64 1 (-.f64 x y)) -1))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) -1) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) -1))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) -1))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 (-.f64 x y) x)
(-.f64 1 (/.f64 y x))
(/.f64 -1 (neg.f64 (/.f64 x (-.f64 x y))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 1 (/.f64 x (-.f64 x y)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 1 (/.f64 (/.f64 x (-.f64 x y)) 1))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 (/.f64 x (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (/.f64 x (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 x (sqrt.f64 (-.f64 x y))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 x (cbrt.f64 (-.f64 x y))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 x (+.f64 x y)))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 x (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) x))
(/.f64 (/.f64 (+.f64 y x) (/.f64 x (-.f64 x y))) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 x (fma.f64 x x (.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 x (fma.f64 x x (.f64 y (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 x))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 (/.f64 1 x) (/.f64 1 (-.f64 x y)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2)) (cbrt.f64 (/.f64 x (-.f64 x y))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 (/.f64 (-.f64 x y) 1) x)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) -2))
(fabs.f64 (/.f64 (-.f64 x y) x))
(fabs.f64 (-.f64 1 (/.f64 y x)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) x))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(exp.f64 (log.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(exp.f64 (-.f64 (log.f64 (-.f64 x y)) (log.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) x)) 1))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 x y)))) 1)
(/.f64 x (-.f64 x y))
(*.f64 x (/.f64 1 (-.f64 x y)))
(/.f64 x (-.f64 x y))
(*.f64 (/.f64 x (-.f64 x y)) 1)
(/.f64 x (-.f64 x y))
(*.f64 1 (/.f64 x (-.f64 x y)))
(/.f64 x (-.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) (sqrt.f64 (/.f64 x (-.f64 x y))))
(/.f64 x (-.f64 x y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x y))))
(/.f64 x (-.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2))
(/.f64 x (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) (cbrt.f64 (/.f64 x (-.f64 x y))))
(/.f64 x (-.f64 x y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x y))))
(/.f64 x (-.f64 x y))
(*.f64 (/.f64 1 (-.f64 x y)) x)
(/.f64 x (-.f64 x y))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x y))))
(/.f64 x (-.f64 x y))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y))))
(/.f64 x (-.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 x (cbrt.f64 (-.f64 x y))))
(/.f64 x (-.f64 x y))
(.f64 (/.f64 x (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
(.f64 (+.f64 y x) (/.f64 x (-.f64 (.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 x (-.f64 x y)))
(*.f64 (/.f64 x (-.f64 x y)) (/.f64 (+.f64 y x) (+.f64 y x)))
(.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))
(.f64 (fma.f64 x x (.f64 y (+.f64 y x))) (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x y)))
(/.f64 x (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 x y))))
(/.f64 x (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x y)))
(/.f64 x (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 x y))))
(/.f64 x (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 x (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (/.f64 x (-.f64 x y)))))
(pow.f64 (/.f64 x (-.f64 x y)) 1)
(/.f64 x (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) x) -1)
(/.f64 x (-.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) 2)
(/.f64 x (-.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 3)
(/.f64 x (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3) 1/3)
(/.f64 x (-.f64 x y))
(neg.f64 (/.f64 x (neg.f64 (-.f64 x y))))
(/.f64 x (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2))
(fabs.f64 (/.f64 x (-.f64 x y)))
(log.f64 (exp.f64 (/.f64 x (-.f64 x y))))
(/.f64 x (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 x y)))))
(/.f64 x (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3))
(/.f64 x (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 x y))))
(/.f64 x (-.f64 x y))
(exp.f64 (log.f64 (/.f64 x (-.f64 x y))))
(/.f64 x (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 x y))) 1))
(/.f64 x (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 x y))))
(/.f64 x (-.f64 x y))

eval266.0ms (9%)

Compiler: Compiled 2294 to 1090 computations (52.5% saved)

prune57.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	154	5	159

Error

Counts

159 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	32.7b	(/.f64 (neg.f64 y) x)
▶	0.2b	(/.f64 1 (/.f64 x (-.f64 x y)))
✓	0.0b	(-.f64 1 (/.f64 y x))
	30.2b	1

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (-.f64 x y))
✓	0.2b	(/.f64 1 (/.f64 x (-.f64 x y)))

Compiler

Compiled 20 to 7 computations (65% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`associate-*r/`
1262×	`associate-/r*`
1058×	`associate-*l/`
876×	`*-commutative`
798×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	177	13
2	2477	13

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

Outputs

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

simplify68.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1414×	`associate-/r*`
1064×	`*-commutative`
540×	`unswap-sqr`
514×	`distribute-lft-neg-out`
456×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2138
1	622	2034
2	2737	2030

Stop Event

1×	node limit

Counts

96 → 117

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

Outputs
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
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(-.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))
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(-.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)))
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(/.f64 (neg.f64 y) x)
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(-.f64 1 (/.f64 y x))
(-.f64 (/.f64 x x) (/.f64 y x))
(-.f64 1 (/.f64 y x))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) x) (cbrt.f64 (-.f64 x y)))
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(*.f64 (/.f64 (-.f64 x y) (neg.f64 x)) -1)
(-.f64 1 (/.f64 y x))
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(/.f64 (*.f64 (-.f64 x y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 x y) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 x y) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 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 (cbrt.f64 (-.f64 x y)) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1))
(-.f64 1 (/.f64 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 (*.f64 (-.f64 x y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 x y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 x y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 x y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 x y) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 1 (/.f64 y x)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (pow.f64 (/.f64 1 (-.f64 x y)) -1) (/.f64 1 x))
(-.f64 1 (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) -1) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) -1))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (-.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (-.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) 1) (sqrt.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(-.f64 1 (/.f64 y x))
(*.f64 (/.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 (neg.f64 x) y)))
(-.f64 1 (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 y (neg.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 y x)))
(*.f64 (/.f64 (/.f64 1 x) -1) (+.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 y x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y)))
(-.f64 1 (/.f64 y x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(-.f64 1 (/.f64 y x))
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 x))) (+.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 y x))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) x) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(.f64 (-.f64 x y) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) x)))
(.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 1 (/.f64 y x))))
(.f64 (/.f64 (.f64 (-.f64 1 (/.f64 y x)) (+.f64 y x)) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) x) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (*.f64 x y))))
(.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 x (+.f64 y x))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (.f64 (-.f64 1 (/.f64 y x)) (+.f64 y x)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 1 (/.f64 y x)) (+.f64 y x)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) x) (-.f64 (.f64 x (pow.f64 x 3)) (.f64 (.f64 y (+.f64 y x)) (.f64 y (+.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) x) (/.f64 (-.f64 (pow.f64 x 4) (.f64 (+.f64 y x) (.f64 y (.f64 y (+.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 y 3) x)) (/.f64 (-.f64 (pow.f64 x 4) (.f64 y (.f64 y (.f64 (+.f64 y x) (+.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) x) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y (+.f64 x y)) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y))) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y (+.f64 y x)) 3)) x)) (+.f64 (.f64 x (pow.f64 x 3)) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 x (+.f64 (pow.f64 x 6) (pow.f64 (.f64 y (+.f64 y x)) 3)))) (fma.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)) (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 y 3) x)) (fma.f64 (.f64 y (+.f64 y x)) (fma.f64 y (+.f64 y x) (.f64 x (neg.f64 x))) (pow.f64 x 4))) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (+.f64 y x)) 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2) 1) (cbrt.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2) (cbrt.f64 x)) (cbrt.f64 (-.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 y (neg.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 y x))))
(pow.f64 (/.f64 x (-.f64 x y)) -1)
(-.f64 1 (/.f64 y x))
(pow.f64 (/.f64 (-.f64 x y) x) 1)
(-.f64 1 (/.f64 y x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) 2)
(-.f64 1 (/.f64 y x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 3)
(-.f64 1 (/.f64 y x))
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3) 1/3)
(-.f64 1 (/.f64 y x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 2))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 2))
(fabs.f64 (-.f64 1 (/.f64 y x)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) x))))
(-.f64 1 (/.f64 y x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3))
(-.f64 1 (/.f64 y x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(exp.f64 (-.f64 (log.f64 (-.f64 x y)) (log.f64 x)))
(-.f64 1 (/.f64 y x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))

eval73.0ms (2.5%)

Compiler: Compiled 2730 to 1110 computations (59.3% saved)

prune120.0ms (4.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	183	5	188

Error

Counts

188 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	32.7b	(/.f64 (neg.f64 y) x)
▶	32.8b	(/.f64 1 (/.f64 (neg.f64 x) y))
✓	0.0b	(-.f64 1 (/.f64 y x))
	30.2b	1

Compiler

Compiled 31 to 22 computations (29% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (/.f64 (neg.f64 x) y))

Compiler

Compiled 17 to 7 computations (58.8% saved)

series30.0ms (1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(/.f64 1 (/.f64 (neg.f64 x) y))
1.0ms	x	@	0	(/.f64 1 (/.f64 (neg.f64 x) y))
0.0ms	y	@	inf	(/.f64 1 (/.f64 (neg.f64 x) y))
0.0ms	y	@	0	(/.f64 1 (/.f64 (neg.f64 x) y))
0.0ms	y	@	-inf	(/.f64 1 (/.f64 (neg.f64 x) y))

rewrite69.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`add-sqr-sqrt`
1566×	`*-un-lft-identity`
1456×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	186	7
2	2479	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1090×	`distribute-lft-in`
1034×	`distribute-rgt-in`
916×	`associate-+r+`
828×	`*-commutative`
806×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	773
1	265	737
2	1012	731
3	3980	731

Stop Event

1×	node limit

Counts

65 → 51

Calls

Call 1

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

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

eval7.0ms (0.2%)

Compiler: Compiled 412 to 178 computations (56.8% saved)

prune10.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	50	6	56

Error

Counts

56 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	32.7b	(/.f64 (neg.f64 y) x)
	62.4b	(/.f64 y x)
✓	32.8b	(/.f64 1 (/.f64 (neg.f64 x) y))
✓	0.0b	(-.f64 1 (/.f64 y x))
	30.2b	1

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes17.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
5.0ms	y
5.0ms	(/.f64 (-.f64 x y) x)

Results

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

Compiler

Compiled 53 to 27 computations (49.1% saved)

regimes72.0ms (2.5%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	y
30.0ms	x

Results

Error	Segments	Branch
14.7b	7	`x`
15.4b	3	`y`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch99.0ms (3.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
34.0ms	1.0306093640783969e+61	1.8291413152108398e+61
12.0ms	-1.2998001036130946e-158	-5.716212475836608e-160
9.0ms	-4.626204706518961e-93	-7.479271094512341e-94
14.0ms	-2.523326515715219e-7	-8.633594510630226e-14
13.0ms	-1.1985383448015882e+56	-1.150072829014148e+53
16.0ms	-2.0172798626133334e+89	-4.022056805850248e+79

Results

89.0ms	704×	body	256	valid
2.0ms	25×	body	256	infinite

Compiler

Compiled 496 to 404 computations (18.5% saved)

regimes7.0ms (0.2%)

Accuracy

Total -32.2b remaining (-106.9%)

Threshold costs -32.2b (-106.9%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(/.f64 y x)

Outputs
1

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
30.2b	1	`x`
30.2b	1	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

16×	`not-or`
14×	`not-not`
14×	`if-not`
10×	`if-if-or-not`
6×	`sub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	105
1	43	105
2	51	105
3	60	103
4	68	103
5	78	101
6	85	101
7	90	101
8	92	101
9	93	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -82000000000000000285100818232254133505465038177760744257705960013234380447154176) 1 (if (<=.f64 x -3199999999999999978307035757957209524677467014221004800) (/.f64 (neg.f64 y) x) (if (<=.f64 x -2030995376952577/9671406556917033397649408) 1 (if (<=.f64 x -1761406937080375/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (/.f64 (neg.f64 y) x) (if (<=.f64 x -1582914569427869/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) 1 (if (<=.f64 x 10500000000000000539000690148747108896832749702762158054440960) (/.f64 (neg.f64 y) x) 1))))))

Outputs
(-.f64 1 (/.f64 y x))
(if (<=.f64 x -82000000000000000285100818232254133505465038177760744257705960013234380447154176) 1 (if (<=.f64 x -3199999999999999978307035757957209524677467014221004800) (/.f64 (neg.f64 y) x) (if (<=.f64 x -2030995376952577/9671406556917033397649408) 1 (if (<=.f64 x -1761406937080375/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (/.f64 (neg.f64 y) x) (if (<=.f64 x -1582914569427869/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) 1 (if (<=.f64 x 10500000000000000539000690148747108896832749702762158054440960) (/.f64 (neg.f64 y) x) 1))))))
(if (<=.f64 x -82000000000000000285100818232254133505465038177760744257705960013234380447154176) 1 (if (<=.f64 x -3199999999999999978307035757957209524677467014221004800) (/.f64 (neg.f64 y) x) (if (<=.f64 x -2030995376952577/9671406556917033397649408) 1 (if (or (<=.f64 x -1761406937080375/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (and (not (<=.f64 x -1582914569427869/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568)) (<=.f64 x 10500000000000000539000690148747108896832749702762158054440960))) (/.f64 (neg.f64 y) x) 1))))
(if (<=.f64 x -82000000000000000285100818232254133505465038177760744257705960013234380447154176) 1 (if (or (<=.f64 x -3199999999999999978307035757957209524677467014221004800) (and (not (<=.f64 x -2030995376952577/9671406556917033397649408)) (or (<=.f64 x -1761406937080375/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (and (not (<=.f64 x -1582914569427869/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568)) (<=.f64 x 10500000000000000539000690148747108896832749702762158054440960))))) (/.f64 (neg.f64 y) x) 1))
1

Compiler

Compiled 44 to 34 computations (22.7% saved)

soundness97.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

326×	`fma-def`
210×	`associate-/r*`
194×	`associate-r`
180×	`associate-*r/`
166×	`associate--r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	12	13
2	20	13
3	33	13
4	56	13
5	88	13
6	156	13
7	285	13
8	600	13
9	1049	13
10	1547	13
11	1649	13
12	1746	13
13	1792	13

Stop Event

1×

saturated

Compiler

Compiled 19 to 9 computations (52.6% saved)

end29.0ms (1%)

Compiler: Compiled 40 to 30 computations (25% saved)

Iter	Nodes	Cost
0	31	105
1	43	105
2	51	105
3	60	103
4	68	103
5	78	101
6	85	101
7	90	101
8	92	101
9	93	101

Iter	Nodes	Cost
0	31	105
1	43	105
2	51	105
3	60	103
4	68	103
5	78	101
6	85	101
7	90	101
8	92	101
9	93	101

Details

analyze61.0ms (2.1%)

sample1.1s (37.4%)

preprocess73.0ms (2.5%)

simplify55.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite54.0ms (1.9%)

simplify51.0ms (1.7%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite82.0ms (2.8%)

simplify73.0ms (2.5%)

eval14.0ms (0.5%)

prune30.0ms (1%)

localize4.0ms (0.1%)

localize7.0ms (0.2%)

series5.0ms (0.2%)

rewrite76.0ms (2.6%)

simplify77.0ms (2.6%)

eval266.0ms (9%)

prune57.0ms (1.9%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite62.0ms (2.1%)

simplify68.0ms (2.3%)

eval73.0ms (2.5%)

prune120.0ms (4.1%)

localize6.0ms (0.2%)

series30.0ms (1%)

rewrite69.0ms (2.4%)

simplify50.0ms (1.7%)

eval7.0ms (0.2%)

prune10.0ms (0.3%)

regimes17.0ms (0.6%)

regimes72.0ms (2.5%)

bsearch99.0ms (3.4%)

regimes7.0ms (0.2%)

simplify16.0ms (0.6%)

soundness97.0ms (3.3%)

end29.0ms (1%)

Profiling

Iter	Nodes	Cost
0	31	105
1	43	105
2	51	105
3	60	103
4	68	103
5	78	101
6	85	101
7	90	101
8	92	101
9	93	101