Details

analyze93.0ms (5%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.0s (55.6%)

Results

968.0ms	8256×	body	256	valid
26.0ms	350×	body	256	infinite

Bogosity

preprocess72.0ms (3.9%)

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)

simplify56.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.2%)

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

rewrite57.0ms (3.1%)

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))))))))

simplify54.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

54 → 37

Calls

Call 1

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

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite96.0ms (5.1%)

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

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

simplify51.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1096×	`associate-+r+`
846×	`associate-+l+`
758×	`*-commutative`
580×	`associate-*r/`
396×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	846
1	224	822
2	866	822
3	4251	822

Stop Event

1×	node limit

Counts

58 → 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 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) x))) 1)
(*.f64 (-.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 x y) x) 1)
(*.f64 1 (/.f64 (-.f64 x y) x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 (/.f64 (-.f64 x y) x)))
(.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2) (cbrt.f64 (/.f64 (-.f64 x 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 (-.f64 x y) 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)
(pow.f64 (/.f64 x (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 x)))
(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 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) x))) 1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) (/.f64 1 x))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 (-.f64 x y) x) 1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 1 (/.f64 (-.f64 x y) x))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2) (cbrt.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 1 x) (-.f64 x y))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(*.f64 (/.f64 1 (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 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 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 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 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 (-.f64 x y) x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.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 (-.f64 x y) x) 1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) 2)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 3)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3) 1/3)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(pow.f64 (/.f64 x (-.f64 x y)) -1)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 2))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(log.f64 (exp.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) x))))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(exp.f64 (log.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) x)) 1))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) x)))
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)

eval18.0ms (0.9%)

Compiler: Compiled 849 to 370 computations (56.4% saved)

prune10.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	82	3	85

Error

Counts

85 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.3b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	30.6b	1

Compiler

Compiled 16 to 12 computations (25% saved)

localize25.0ms (1.3%)

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.3b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	30.6b	1

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.3b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	30.6b	1

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.3b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	30.6b	1

Compiler

Compiled 16 to 12 computations (25% saved)

regimes13.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
4.0ms	y
3.0ms	(/.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 30 to 18 computations (40% saved)

regimes59.0ms (3.2%)

Accuracy

Total -46.4b remaining (-302.5%)

Threshold costs -46.4b (-302.5%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	x
17.0ms	y

Results

Error	Segments	Branch
15.4b	5	`x`
17.3b	5	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch66.0ms (3.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	4.010250204994531e+39	2.8058117869664745e+44
18.0ms	5.344911465656452e-143	5.322663317832569e-135
15.0ms	4.141923219372138e-196	1.9877297096459637e-188
17.0ms	-8.393873034302052e+71	-6.792693198120895e+61

Results

54.0ms	592×	body	256	valid
5.0ms	65×	body	256	infinite

Compiler

Compiled 419 to 341 computations (18.6% saved)

simplify7.0ms (0.4%)

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	75
1	37	75
2	45	75
3	54	73
4	59	73
5	63	73
6	64	73
7	65	73

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -295000000000000014327782613109013127449137651963606267406057472) 1 (if (<=.f64 x 6113806371700363/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (/.f64 (neg.f64 y) x) (if (<=.f64 x 6041021940914937/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) 1 (if (<=.f64 x 4800000000000000194174326429546927095808) (/.f64 (neg.f64 y) x) 1))))

Outputs
(-.f64 1 (/.f64 y x))
(if (<=.f64 x -295000000000000014327782613109013127449137651963606267406057472) 1 (if (<=.f64 x 6113806371700363/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (/.f64 (neg.f64 y) x) (if (<=.f64 x 6041021940914937/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) 1 (if (<=.f64 x 4800000000000000194174326429546927095808) (/.f64 (neg.f64 y) x) 1))))
(if (<=.f64 x -295000000000000014327782613109013127449137651963606267406057472) 1 (if (or (<=.f64 x 6113806371700363/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (and (not (<=.f64 x 6041021940914937/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432)) (<=.f64 x 4800000000000000194174326429546927095808))) (/.f64 (neg.f64 y) x) 1))
1

Compiler

Compiled 35 to 27 computations (22.9% saved)

soundness108.0ms (5.8%)

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

end24.0ms (1.3%)

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

Details

analyze93.0ms (5%)

sample1.0s (55.6%)

preprocess72.0ms (3.9%)

simplify56.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series1.0ms (0.1%)

rewrite57.0ms (3.1%)

simplify54.0ms (2.9%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite96.0ms (5.1%)

simplify51.0ms (2.7%)

eval18.0ms (0.9%)

prune10.0ms (0.5%)

localize25.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes13.0ms (0.7%)

regimes59.0ms (3.2%)

bsearch66.0ms (3.5%)

simplify7.0ms (0.4%)

soundness108.0ms (5.8%)

end24.0ms (1.3%)

Profiling