Details

analyze91.0ms (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 (58%)

Results

1.0s	8256×	body	256	valid
27.0ms	334×	body	256	infinite

Bogosity

preprocess80.0ms (4.5%)

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)

simplify53.0ms (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))

eval1.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

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))

rewrite58.0ms (3.2%)

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 (3%)

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)

rewrite61.0ms (3.4%)

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))))))))

simplify52.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 45

Calls

Call 1

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

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

eval14.0ms (0.8%)

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

prune11.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	4	84

Error

Counts

84 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
▶	34.1b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	29.5b	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize4.0ms (0.2%)

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	34.1b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	29.5b	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	34.1b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	29.5b	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) x)
✓	34.1b	(/.f64 (neg.f64 y) x)
✓	0.0b	(-.f64 1 (/.f64 y x))
	29.5b	1

Compiler

Compiled 23 to 16 computations (30.4% 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	y
4.0ms	x
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)

regimes32.0ms (1.8%)

Accuracy

Total -46.2b remaining (-300.3%)

Threshold costs -46.2b (-300.3%)

Counts

2 → 7

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x
8.0ms	y

Results

Error	Segments	Branch
15.4b	7	`x`
16.6b	3	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch78.0ms (4.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
12.0ms	2.6022924736508033e+49	2.7517840877336563e+53
13.0ms	2.5676517985166045e+27	4.9336509637547476e+33
13.0ms	3.1905840604409556e-10	2.7473747773338414e-7
13.0ms	-1.1414710521975026e-96	-1.633696861880445e-100
15.0ms	-1.973786338788013e-52	-1.8880002587251929e-62
12.0ms	-1.8459391975959974e+49	-2.42615870446807e+45

Results

66.0ms	816×	body	256	valid
3.0ms	33×	body	256	infinite

Compiler

Compiled 573 to 467 computations (18.5% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -5200000000000000141798143018876626942321229824) 1 (if (<=.f64 x -149828631093207/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 (neg.f64 y) x) (if (<=.f64 x -5417775852004241/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 x 8689154328480147/75557863725914323419136) (/.f64 (neg.f64 y) x) (if (<=.f64 x 749999999999999959181423240282112) 1 (if (<=.f64 x 35999999999999999631339027672182744067889592008704) (/.f64 (neg.f64 y) x) 1))))))

Outputs
(-.f64 1 (/.f64 y x))
(if (<=.f64 x -5200000000000000141798143018876626942321229824) 1 (if (<=.f64 x -149828631093207/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 (neg.f64 y) x) (if (<=.f64 x -5417775852004241/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 x 8689154328480147/75557863725914323419136) (/.f64 (neg.f64 y) x) (if (<=.f64 x 749999999999999959181423240282112) 1 (if (<=.f64 x 35999999999999999631339027672182744067889592008704) (/.f64 (neg.f64 y) x) 1))))))
(if (<=.f64 x -5200000000000000141798143018876626942321229824) 1 (if (<=.f64 x -149828631093207/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 (neg.f64 y) x) (if (<=.f64 x -5417775852004241/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (or (<=.f64 x 8689154328480147/75557863725914323419136) (and (not (<=.f64 x 749999999999999959181423240282112)) (<=.f64 x 35999999999999999631339027672182744067889592008704))) (/.f64 (neg.f64 y) x) 1))))
(if (<=.f64 x -5200000000000000141798143018876626942321229824) 1 (if (or (<=.f64 x -149828631093207/14134776518227074636666380005943348126619871175004951664972849610340958208) (and (not (<=.f64 x -5417775852004241/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088)) (or (<=.f64 x 8689154328480147/75557863725914323419136) (and (not (<=.f64 x 749999999999999959181423240282112)) (<=.f64 x 35999999999999999631339027672182744067889592008704))))) (/.f64 (neg.f64 y) x) 1))
1

Compiler

Compiled 44 to 34 computations (22.7% saved)

soundness100.0ms (5.5%)

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)

end28.0ms (1.6%)

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

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

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

Details

analyze91.0ms (5%)

sample1.0s (58%)

preprocess80.0ms (4.5%)

simplify53.0ms (3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series1.0ms (0.1%)

rewrite58.0ms (3.2%)

simplify54.0ms (3%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite61.0ms (3.4%)

simplify52.0ms (2.9%)

eval14.0ms (0.8%)

prune11.0ms (0.6%)

localize4.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (0.7%)

regimes32.0ms (1.8%)

bsearch78.0ms (4.3%)

simplify9.0ms (0.5%)

soundness100.0ms (5.5%)

end28.0ms (1.6%)

Profiling

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