Details

analyze64.0ms (2.2%)

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 (38.3%)

Results

1.0s	8256×	body	256	valid
61.0ms	347×	body	256	infinite

Bogosity

preprocess72.0ms (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)

simplify52.0ms (1.8%)

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)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (1.8%)

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))))))))

simplify77.0ms (2.6%)

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))

localize5.0ms (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
1.0ms	x	@	inf	(/.f64 (-.f64 x y) x)
0.0ms	y	@	inf	(/.f64 (-.f64 x y) x)
0.0ms	x	@	0	(/.f64 (-.f64 x y) x)
0.0ms	y	@	0	(/.f64 (-.f64 x y) x)
0.0ms	y	@	-inf	(/.f64 (-.f64 x y) x)

rewrite55.0ms (1.9%)

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))))))))

simplify53.0ms (1.8%)

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))

eval15.0ms (0.5%)

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

prune39.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Error

Counts

84 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
▶	37.3b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
▶	0.2b	(*.f64 (/.f64 1 x) (-.f64 x y))
▶	14.1b	(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
	25.9b	1

Compiler

Compiled 40 to 28 computations (30% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (neg.f64 y) x))
✓	1.1b	(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series32.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	y	@	0	(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
13.0ms	x	@	0	(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
1.0ms	y	@	-inf	(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
1.0ms	y	@	inf	(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
0.0ms	x	@	inf	(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))

rewrite88.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`add-sqr-sqrt`
1580×	`*-un-lft-identity`
1464×	`add-cube-cbrt`
1444×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	183	24
2	2411	24

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
(log1p.f64 (/.f64 (neg.f64 y) x))

Outputs

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

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

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1038×	`associate-+r+`
990×	`associate-/r*`
976×	`associate-/l*`
820×	`associate-+l+`
792×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	3639
1	638	3045
2	2904	2905

Stop Event

1×	node limit

Counts

91 → 145

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)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x)))))
(+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) x) y)))
(+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2)))) (pow.f64 y 2)) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) x) y))))
(+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3))))) (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) x) y)) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x)))))) (pow.f64 y 2)))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) x) y)) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) x) y)) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x))))) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3)))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x))))) (pow.f64 y 3))) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x))))) (pow.f64 y 2)))))
(exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x))))
(+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) x) y)))
(+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) x) y)))
(+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) x) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 3)) (.f64 1/6 (pow.f64 y 3)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 x y)))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (.f64 -1 (/.f64 x y))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (/.f64 1 x)) (.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))))))
(+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (/.f64 x y)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 (.f64 -1 y)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 x y)) (.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (log.f64 (.f64 -1 y)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 x y)) (*.f64 -1 (log.f64 x))))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(-.f64 1 (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y x) 1))) 1)
(*.f64 (+.f64 (/.f64 y x) 1) 1)
(*.f64 1 (+.f64 (/.f64 y x) 1))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y x) 1)) (sqrt.f64 (+.f64 (/.f64 y x) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 y x) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 (/.f64 y x) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(pow.f64 (+.f64 (/.f64 y x) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 y x) 1) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))) (sqrt.f64 (log1p.f64 (/.f64 y x))))
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2)) (cbrt.f64 (log1p.f64 (/.f64 y x))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y x) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 y x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 y x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y x) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y x) 1)))
(+.f64 0 (log1p.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 y x) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 y x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 y x)))) 1)
(*.f64 (log1p.f64 (/.f64 y x)) 1)
(*.f64 1 (log1p.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) (sqrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (cbrt.f64 (log1p.f64 (/.f64 y x))))
(pow.f64 (log1p.f64 (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y x)) 2))
(log.f64 (+.f64 (/.f64 y x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 y x))) 1))

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))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x)))))
(exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))))
(*.f64 (exp.f64 (log.f64 y)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (neg.f64 y))
(+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) x) y)))
(+.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (neg.f64 (/.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (/.f64 y x))))
(-.f64 (.f64 (exp.f64 (log.f64 y)) (/.f64 -1 x)) (/.f64 (.f64 (exp.f64 (log.f64 y)) (*.f64 (/.f64 -1 x) x)) y))
(-.f64 (*.f64 (/.f64 1 x) (neg.f64 y)) (/.f64 y (/.f64 y (/.f64 (neg.f64 x) x))))
(+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2)))) (pow.f64 y 2)) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) x) y))))
(+.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (fma.f64 -1 (/.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (/.f64 y x)) (/.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (/.f64 (.f64 y y) (.f64 (*.f64 x x) 0)))))
(fma.f64 (exp.f64 (log.f64 y)) (/.f64 -1 x) (-.f64 (/.f64 (.f64 (exp.f64 (log.f64 y)) (.f64 (/.f64 -1 x) 0)) (.f64 y y)) (/.f64 (.f64 (exp.f64 (log.f64 y)) (*.f64 (/.f64 -1 x) x)) y)))
(+.f64 (.f64 (/.f64 1 x) (neg.f64 y)) (-.f64 (/.f64 (.f64 (exp.f64 (log.f64 y)) (/.f64 0 x)) (*.f64 y y)) (/.f64 y (/.f64 y (/.f64 (neg.f64 x) x)))))
(+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3))))) (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))) x) y)) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x)))))) (pow.f64 y 2)))))
(+.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (/.f64 (pow.f64 y 3) (fma.f64 -1/6 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/6)))) (fma.f64 -1 (/.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (/.f64 y x)) (/.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (/.f64 (.f64 y y) (.f64 (.f64 x x) 0))))))
(+.f64 (fma.f64 (exp.f64 (log.f64 y)) (/.f64 -1 x) (-.f64 (/.f64 (.f64 (exp.f64 (log.f64 y)) (.f64 (/.f64 -1 x) 0)) (.f64 y y)) (/.f64 (.f64 (exp.f64 (log.f64 y)) (.f64 (/.f64 -1 x) x)) y))) (.f64 (/.f64 (.f64 (exp.f64 (log.f64 y)) (/.f64 -1 x)) (pow.f64 y 3)) (.f64 (pow.f64 x 3) 0)))
(+.f64 (-.f64 (.f64 (/.f64 1 x) (neg.f64 y)) (/.f64 y (/.f64 y (/.f64 (neg.f64 x) x)))) (+.f64 (/.f64 (.f64 (/.f64 1 x) (neg.f64 y)) (/.f64 (pow.f64 (/.f64 y x) 3) 0)) (/.f64 (.f64 (exp.f64 (log.f64 y)) (/.f64 0 x)) (.f64 y y))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x))))
(exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) x) y)) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))))
(fma.f64 -1 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))) (/.f64 y x)) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))))
(-.f64 (.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x)) (/.f64 (.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x)) (/.f64 y x)))
(-.f64 (.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x)) (.f64 x (/.f64 (pow.f64 (/.f64 -1 y) -1) (*.f64 (/.f64 y 1) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) x) y)) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x))))) (pow.f64 y 2))))
(+.f64 (fma.f64 -1 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))) (/.f64 y x)) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))))) (/.f64 (.f64 (.f64 x x) 0) (/.f64 (*.f64 y y) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))))))
(-.f64 (fma.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x) (/.f64 0 (/.f64 (/.f64 (.f64 y y) (pow.f64 (/.f64 -1 y) -1)) (/.f64 1 x)))) (/.f64 (.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x)) (/.f64 y x)))
(-.f64 (fma.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x) (/.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 (.f64 y y) (/.f64 0 x)))) (.f64 x (/.f64 (pow.f64 (/.f64 -1 y) -1) (*.f64 (/.f64 y 1) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3)))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x))))) (pow.f64 y 3))) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x))))) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))) (/.f64 y x)) (fma.f64 -1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/6)) (/.f64 (pow.f64 y 3) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))))) (+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))) (/.f64 (.f64 (.f64 x x) 0) (/.f64 (.f64 y y) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))))))))
(-.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x) (/.f64 0 (/.f64 (/.f64 (.f64 y y) (pow.f64 (/.f64 -1 y) -1)) (/.f64 1 x)))) (/.f64 (.f64 (pow.f64 x 3) 0) (/.f64 (pow.f64 y 3) (.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x))))) (/.f64 (.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x)) (/.f64 y x)))
(-.f64 (fma.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x) (/.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 (.f64 y y) (/.f64 0 x)))) (+.f64 (.f64 x (/.f64 (pow.f64 (/.f64 -1 y) -1) (.f64 (/.f64 y 1) x))) (/.f64 (.f64 (pow.f64 (/.f64 -1 y) -1) (/.f64 1 x)) (/.f64 (pow.f64 (/.f64 y x) 3) 0))))
(exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x))))
(exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))))
(*.f64 (exp.f64 (log.f64 y)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (neg.f64 y))
(+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) x) y)))
(+.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (neg.f64 (/.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (/.f64 y x))))
(-.f64 (.f64 (exp.f64 (log.f64 y)) (/.f64 -1 x)) (/.f64 (.f64 (exp.f64 (log.f64 y)) (*.f64 (/.f64 -1 x) x)) y))
(-.f64 (*.f64 (/.f64 1 x) (neg.f64 y)) (/.f64 y (/.f64 y (/.f64 (neg.f64 x) x))))
(+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) x) y)))
(+.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (neg.f64 (/.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (/.f64 y x))))
(-.f64 (.f64 (exp.f64 (log.f64 y)) (/.f64 -1 x)) (/.f64 (.f64 (exp.f64 (log.f64 y)) (*.f64 (/.f64 -1 x) x)) y))
(-.f64 (*.f64 (/.f64 1 x) (neg.f64 y)) (/.f64 y (/.f64 y (/.f64 (neg.f64 x) x))))
(+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))) x) y)))
(+.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (neg.f64 (/.f64 (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) (/.f64 y x))))
(-.f64 (.f64 (exp.f64 (log.f64 y)) (/.f64 -1 x)) (/.f64 (.f64 (exp.f64 (log.f64 y)) (*.f64 (/.f64 -1 x) x)) y))
(-.f64 (*.f64 (/.f64 1 x) (neg.f64 y)) (/.f64 y (/.f64 y (/.f64 (neg.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (+.f64 1 (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x)))))
(+.f64 (-.f64 (*.f64 1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 y x)) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) 1))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 y x) 2) (/.f64 (neg.f64 y) x)) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) 1))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 y x) 3) (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1/6 (pow.f64 (/.f64 y x) 3) (neg.f64 (/.f64 y x))))))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 y x) 3) (fma.f64 1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 -1/6 (pow.f64 (/.f64 y x) 3) (neg.f64 (/.f64 y x))))) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) 1)))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 y x) 3) (fma.f64 1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 -1/6 (pow.f64 (/.f64 y x) 3) (/.f64 (neg.f64 y) x)))) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) 1)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (+.f64 1 (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x)))))
(+.f64 (-.f64 (*.f64 1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 y x)) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) 1))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 y x) 2) (/.f64 (neg.f64 y) x)) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) 1))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 3)) (.f64 1/6 (pow.f64 y 3)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))))
(fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (+.f64 1 (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x x)) (.f64 -1 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 y 3) (.f64 (pow.f64 y 3) -1/3)) (pow.f64 x 3)) (/.f64 y x))))))
(+.f64 (-.f64 (-.f64 (.f64 1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 (.f64 (pow.f64 y 3) 0) (pow.f64 x 3))) (/.f64 y x)) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) 1))
(-.f64 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 y x) 2) (/.f64 (neg.f64 y) x)) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) 1)) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) 0)))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 y x))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x))))
(-.f64 (fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (*.f64 -1/2 (pow.f64 (/.f64 y x) 2))) (/.f64 y x))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (*.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 y x)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (neg.f64 (/.f64 y x)))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (/.f64 y x)))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (neg.f64 y) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (neg.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (neg.f64 y)) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (.f64 -1 (/.f64 x y))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 x y)))
(+.f64 (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 x y)) (log.f64 y))
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) (/.f64 x y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 x y))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)) (-.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 x y)))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (+.f64 (log.f64 x) (/.f64 x y))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (.f64 -1 (/.f64 x y))))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 x y)))))
(+.f64 (+.f64 (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 x y)) (log.f64 y)) (+.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 -1/3 (pow.f64 (/.f64 y x) 3))))
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) (+.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (-.f64 (/.f64 -1/3 (pow.f64 (/.f64 y x) 3)) (/.f64 x y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 1 x)))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (/.f64 1 x)) (.f64 -1 (/.f64 x y))))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (*.f64 -1 (+.f64 (/.f64 x y) (log.f64 x))))
(-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 x)) (/.f64 x y))
(-.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 x y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -1 (+.f64 (/.f64 x y) (log.f64 x)))))
(-.f64 (-.f64 (-.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 x y)) (log.f64 x)) (log.f64 (/.f64 -1 y)))
(-.f64 (-.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 x y)) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))) (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 x y)))))
(+.f64 (-.f64 (-.f64 (-.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 x y)) (log.f64 x)) (log.f64 (/.f64 -1 y))) (/.f64 -1/3 (pow.f64 (/.f64 y x) 3)))
(+.f64 (-.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (+.f64 (log.f64 x) (/.f64 x y))) (-.f64 (/.f64 -1/3 (pow.f64 (/.f64 y x) 3)) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 x)))
(fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (neg.f64 y)) (log.f64 x))
(+.f64 (log.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (/.f64 x y)) (*.f64 -1 (log.f64 x))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 x y)))
(+.f64 (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 x y)) (log.f64 y))
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) (/.f64 x y))
(+.f64 (log.f64 (.f64 -1 y)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 x y)) (.f64 -1 (log.f64 x)))))
(fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 x y))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)) (-.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 x y)))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (+.f64 (log.f64 x) (/.f64 x y))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (log.f64 (.f64 -1 y)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 x y)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 x y)))))
(+.f64 (+.f64 (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 x y)) (log.f64 y)) (+.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 -1/3 (pow.f64 (/.f64 y x) 3))))
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) (+.f64 (/.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (-.f64 (/.f64 -1/3 (pow.f64 (/.f64 y x) 3)) (/.f64 x y))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 y x))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x))))
(-.f64 (fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (*.f64 -1/2 (pow.f64 (/.f64 y x) 2))) (/.f64 y x))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (*.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 y x)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (neg.f64 (/.f64 y x)))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (/.f64 y x)))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (neg.f64 y) x))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 y x))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x))))
(-.f64 (fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (*.f64 -1/2 (pow.f64 (/.f64 y x) 2))) (/.f64 y x))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (*.f64 -1/2 (pow.f64 (/.f64 y x) 2)) (/.f64 y x)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (neg.f64 (/.f64 y x)))))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (/.f64 y x)))
(fma.f64 -1/3 (pow.f64 (/.f64 y x) 3) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (neg.f64 y) x))))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(-.f64 1 (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y x) 1))) 1)
(+.f64 1 (/.f64 y x))
(*.f64 (+.f64 (/.f64 y x) 1) 1)
(+.f64 1 (/.f64 y x))
(*.f64 1 (+.f64 (/.f64 y x) 1))
(+.f64 1 (/.f64 y x))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y x) 1)) (sqrt.f64 (+.f64 (/.f64 y x) 1)))
(+.f64 1 (/.f64 y x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 2))
(+.f64 1 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 y x) 1)))
(+.f64 1 (/.f64 y x))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 (/.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) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(pow.f64 (+.f64 (/.f64 y x) 1) 1)
(+.f64 1 (/.f64 y x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) 1)) 2)
(+.f64 1 (/.f64 y x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 3)
(+.f64 1 (/.f64 y x))
(pow.f64 (pow.f64 (+.f64 (/.f64 y x) 1) 3) 1/3)
(+.f64 1 (/.f64 y x))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))) (sqrt.f64 (log1p.f64 (/.f64 y x))))
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 y x)))
(pow.f64 (E.f64) (log1p.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2)) (cbrt.f64 (log1p.f64 (/.f64 y x))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y x) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) 2))
(fabs.f64 (+.f64 1 (/.f64 y x)))
(log.f64 (exp.f64 (+.f64 (/.f64 y x) 1)))
(+.f64 1 (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 y x) 1))))
(+.f64 1 (/.f64 y x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y x) 1) 3))
(+.f64 1 (/.f64 y x))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y x) 1)))
(+.f64 1 (/.f64 y x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y x) 1)))
(+.f64 1 (/.f64 y x))
(+.f64 0 (log1p.f64 (/.f64 y x)))
(log1p.f64 (/.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1))))
(log1p.f64 (/.f64 y x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 y x) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 y x) 1))))
(log1p.f64 (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 y x)))) 1)
(log1p.f64 (/.f64 y x))
(*.f64 (log1p.f64 (/.f64 y x)) 1)
(log1p.f64 (/.f64 y x))
(*.f64 1 (log1p.f64 (/.f64 y x)))
(log1p.f64 (/.f64 y x))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) (sqrt.f64 (log1p.f64 (/.f64 y x))))
(log1p.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2))
(log1p.f64 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (cbrt.f64 (log1p.f64 (/.f64 y x))))
(log1p.f64 (/.f64 y x))
(pow.f64 (log1p.f64 (/.f64 y x)) 1)
(log1p.f64 (/.f64 y x))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) 2)
(log1p.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 3)
(log1p.f64 (/.f64 y x))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 y x)) 3) 1/3)
(log1p.f64 (/.f64 y x))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y x)) 2))
(fabs.f64 (log1p.f64 (/.f64 y x)))
(log.f64 (+.f64 (/.f64 y x) 1))
(log1p.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y x)) 3))
(log1p.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y x))))
(log1p.f64 (/.f64 y x))
(exp.f64 (log.f64 (log1p.f64 (/.f64 y x))))
(log1p.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 y x))) 1))
(log1p.f64 (/.f64 y x))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`add-sqr-sqrt`
1840×	`*-un-lft-identity`
1724×	`add-cube-cbrt`
1702×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	2276	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-+r+`
1158×	`associate-r`
922×	`associate-l`
908×	`times-frac`
794×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	992
1	308	992
2	1057	992
3	7149	992

Stop Event

1×	node limit

Counts

62 → 46

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

localize4.0ms (0.1%)

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

eval59.0ms (2%)

Compiler: Compiled 3551 to 2064 computations (41.9% saved)

prune37.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	0	1	1
Picked	0	1	1
Done	2	2	4
Total	191	6	197

Error

Counts

197 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	37.3b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
▶	0.2b	(+.f64 (.f64 (/.f64 1 x) x) (.f64 (/.f64 1 x) (neg.f64 y)))
▶	37.4b	(*.f64 (/.f64 1 x) (neg.f64 y))
	25.9b	1

Compiler

Compiled 45 to 32 computations (28.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 x) (neg.f64 y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`add-sqr-sqrt`
1464×	`*-un-lft-identity`
1358×	`add-cube-cbrt`
1338×	`add-cbrt-cube`
1322×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	179	7
2	2213	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.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 (/.f64 0 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(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 neg.f64 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y x)))))))

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Rules

798×	`associate-/r/`
782×	`associate--l-`
684×	`associate--r-`
620×	`associate-/l/`
548×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	680
1	127	566
2	418	452
3	2161	452
4	6288	452

Stop Event

1×	node limit

Counts

48 → 28

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

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (/.f64 1 x) x) (.f64 (/.f64 1 x) (neg.f64 y)))
✓	0.1b	(*.f64 (/.f64 1 x) x)
	0.2b	(*.f64 (/.f64 1 x) (neg.f64 y))

Compiler

Compiled 33 to 19 computations (42.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite65.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`add-sqr-sqrt`
1904×	`*-un-lft-identity`
1776×	`add-cube-cbrt`
1760×	`add-cbrt-cube`
210×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	240	14
2	2858	14

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

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

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-r`
1162×	`associate-l`
1024×	`times-frac`
832×	`associate-/r*`
628×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1340
1	267	1280
2	1131	1250
3	7552	1250

Stop Event

1×	node limit

Counts

80 → 62

Calls

Call 1

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

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

eval23.0ms (0.8%)

Compiler: Compiled 1196 to 608 computations (49.2% saved)

prune18.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	118	6	124

Error

Counts

124 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	37.3b	(/.f64 (neg.f64 y) x)
▶	37.4b	(/.f64 -1 (/.f64 x y))
✓	0.0b	(-.f64 1 (/.f64 y x))
▶	0.1b	(+.f64 1 (*.f64 (/.f64 1 x) (neg.f64 y)))
	25.9b	1

Compiler

Compiled 40 to 29 computations (27.5% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 (/.f64 1 x) (neg.f64 y)))
	0.2b	(*.f64 (/.f64 1 x) (neg.f64 y))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`add-sqr-sqrt`
1838×	`*-un-lft-identity`
1714×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
204×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	209	13
2	2752	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/r/`
1080×	`associate-r`
870×	`associate-l`
678×	`times-frac`
630×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	1210
1	199	1156
2	915	1132
3	5572	1132

Stop Event

1×	node limit

Counts

60 → 53

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

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 -1 (/.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`add-sqr-sqrt`
1506×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1378×	`add-cbrt-cube`
1366×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	11
2	1905	11

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify44.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1104×	`associate-+r+`
962×	`associate-+l+`
882×	`distribute-lft-in`
786×	`distribute-rgt-in`
754×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	594
1	149	592
2	665	592
3	2643	592

Stop Event

1×	node limit

Counts

52 → 31

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

eval19.0ms (0.7%)

Compiler: Compiled 1062 to 551 computations (48.1% saved)

prune16.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	112	6	118

Error

Counts

118 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	37.3b	(/.f64 (neg.f64 y) x)
✓	37.4b	(/.f64 -1 (/.f64 x y))
✓	0.0b	(-.f64 1 (/.f64 y x))
✓	0.1b	(+.f64 1 (*.f64 (/.f64 1 x) (neg.f64 y)))
	25.9b	1

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes18.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

Inputs
1
(/.f64 (neg.f64 y) x)
(-.f64 1 (/.f64 y x))
(/.f64 -1 (/.f64 x y))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 1 x) (neg.f64 y))
(*.f64 (/.f64 1 x) (-.f64 x y))
(+.f64 1 (*.f64 (/.f64 1 x) (neg.f64 y)))
(+.f64 (.f64 (/.f64 1 x) x) (.f64 (/.f64 1 x) (neg.f64 y)))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))

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

Calls

3 calls:

6.0ms	x
6.0ms	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 74 to 41 computations (44.6% saved)

regimes28.0ms (1%)

Accuracy

Total -47.6b remaining (-336.1%)

Threshold costs -47.6b (-336.1%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	y
13.0ms	x

Results

Error	Segments	Branch
16.6b	5	`x`
14.2b	5	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch50.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	9.57863014048871e+194	6.186117199088635e+199
11.0ms	7.666900336706071e+86	4.913675016101045e+90
10.0ms	1.1515229601350541e-34	6.308880312887132e-33
13.0ms	-2.7690405566712454e-33	-2.0554514464971572e-39

Results

41.0ms	512×	body	256	valid
4.0ms	51×	body	256	infinite

Compiler

Compiled 364 to 296 computations (18.7% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
6×	`sub-neg`
6×	`+-commutative`
6×	`not-not`
6×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	81
1	37	81
2	45	81
3	54	79
4	59	79
5	63	79
6	64	79
7	65	79

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -5612166287350667/11692013098647223345629478661730264157247460343808) (/.f64 (neg.f64 y) x) (if (<=.f64 y 7307508186654515/1461501637330902918203684832716283019655932542976) 1 (if (<=.f64 y 31999999999999998701335182603211607407743874868750446069431648313814525534430541616513024) (/.f64 (neg.f64 y) x) (if (<=.f64 y 999999999999999977077764769429719196041465194188378863774447340572581797347854228894418860247909937807756600796112539971931616645685181699233267813951241073670004367049615544210109925082343145472) 1 (/.f64 (neg.f64 y) x)))))

Outputs
(-.f64 1 (/.f64 y x))
(if (<=.f64 y -5612166287350667/11692013098647223345629478661730264157247460343808) (/.f64 (neg.f64 y) x) (if (<=.f64 y 7307508186654515/1461501637330902918203684832716283019655932542976) 1 (if (<=.f64 y 31999999999999998701335182603211607407743874868750446069431648313814525534430541616513024) (/.f64 (neg.f64 y) x) (if (<=.f64 y 999999999999999977077764769429719196041465194188378863774447340572581797347854228894418860247909937807756600796112539971931616645685181699233267813951241073670004367049615544210109925082343145472) 1 (/.f64 (neg.f64 y) x)))))
(if (<=.f64 y -5612166287350667/11692013098647223345629478661730264157247460343808) (/.f64 (neg.f64 y) x) (if (<=.f64 y 7307508186654515/1461501637330902918203684832716283019655932542976) 1 (if (or (<=.f64 y 31999999999999998701335182603211607407743874868750446069431648313814525534430541616513024) (not (<=.f64 y 999999999999999977077764769429719196041465194188378863774447340572581797347854228894418860247909937807756600796112539971931616645685181699233267813951241073670004367049615544210109925082343145472))) (/.f64 (neg.f64 y) x) 1)))
(if (or (<=.f64 y -5612166287350667/11692013098647223345629478661730264157247460343808) (not (or (<=.f64 y 7307508186654515/1461501637330902918203684832716283019655932542976) (and (not (<=.f64 y 31999999999999998701335182603211607407743874868750446069431648313814525534430541616513024)) (<=.f64 y 999999999999999977077764769429719196041465194188378863774447340572581797347854228894418860247909937807756600796112539971931616645685181699233267813951241073670004367049615544210109925082343145472))))) (/.f64 (neg.f64 y) x) 1)
(if (or (<=.f64 y -5612166287350667/11692013098647223345629478661730264157247460343808) (and (not (<=.f64 y 7307508186654515/1461501637330902918203684832716283019655932542976)) (or (<=.f64 y 31999999999999998701335182603211607407743874868750446069431648313814525534430541616513024) (not (<=.f64 y 999999999999999977077764769429719196041465194188378863774447340572581797347854228894418860247909937807756600796112539971931616645685181699233267813951241073670004367049615544210109925082343145472))))) (/.f64 (neg.f64 y) x) 1)
1

Compiler

Compiled 35 to 27 computations (22.9% saved)

soundness171.0ms (5.9%)

Algorithm

2×	egg-herbie

Rules

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

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
0	80	1062
1	198	1002
2	794	982
3	3526	982

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 34 to 17 computations (50% saved)

end24.0ms (0.8%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

Details

analyze64.0ms (2.2%)

sample1.1s (38.3%)

preprocess72.0ms (2.5%)

simplify52.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0.1%)

rewrite53.0ms (1.8%)

simplify77.0ms (2.6%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite55.0ms (1.9%)

simplify53.0ms (1.8%)

eval15.0ms (0.5%)

prune39.0ms (1.3%)

localize7.0ms (0.3%)

series32.0ms (1.1%)

rewrite88.0ms (3%)

simplify70.0ms (2.4%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite60.0ms (2%)

simplify63.0ms (2.2%)

localize4.0ms (0.1%)

eval59.0ms (2%)

prune37.0ms (1.3%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite55.0ms (1.9%)

simplify58.0ms (2%)

localize12.0ms (0.4%)

series1.0ms (0%)

rewrite65.0ms (2.2%)

simplify62.0ms (2.1%)

eval23.0ms (0.8%)

prune18.0ms (0.6%)

localize11.0ms (0.4%)

series0.0ms (0%)

rewrite60.0ms (2.1%)

simplify57.0ms (2%)

localize4.0ms (0.2%)

series0.0ms (0%)

rewrite56.0ms (1.9%)

simplify44.0ms (1.5%)

eval19.0ms (0.7%)

prune16.0ms (0.5%)

regimes18.0ms (0.6%)

regimes28.0ms (1%)

bsearch50.0ms (1.7%)

simplify7.0ms (0.2%)

soundness171.0ms (5.9%)

end24.0ms (0.8%)

Profiling