Details

analyze81.0ms (1.6%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	6
40.6%	40.6%	59.3%	0.1%	0%	0%	0%	7
46%	45.3%	53.1%	0.1%	1.6%	0%	0%	8
65.3%	63.2%	33.6%	0.1%	3.1%	0%	0%	9
69.5%	66%	28.9%	0.1%	5.1%	0%	0%	10
80.9%	75.1%	17.8%	0.1%	7%	0%	0%	11
83.6%	76.6%	15%	0.1%	8.3%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.1s (21.1%)

Results

1.0s	8256×	body	256	valid
37.0ms	405×	body	256	infinite

Bogosity

preprocess26.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

36×	`fma-neg_binary64`
19×	`associate-/l*_binary64`
16×	`sub-neg_binary64`
16×	`times-frac_binary64`
16×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	16	22
2	24	22
3	36	22
4	66	22
5	124	22
6	160	22
7	212	22
8	261	22
9	302	22
10	302	22
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-neg_binary64`
17×	`fma-def_binary64`
16×	`cancel-sign-sub-inv_binary64`
16×	`sub-neg_binary64`
9×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	48	11
5	104	11
6	157	11
7	199	11
8	233	11
9	260	11
10	275	11
11	275	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`pow1_binary64`
728×	`add-log-exp_binary64`
728×	`log1p-expm1-u_binary64`
728×	`expm1-log1p-u_binary64`
713×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	161	7
2	2561	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

33×	`fma-neg_binary64`
27×	`fma-def_binary64`
15×	`cancel-sign-sub-inv_binary64`
13×	`sub-neg_binary64`
9×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	104
1	27	88
2	50	88
3	97	88
4	165	88
5	193	88
6	222	88
7	242	88
8	255	88
9	255	88

Stop Event

1×

saturated

Counts

46 → 41

Calls

Call 1

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

Outputs
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))

eval7.0ms (0.1%)

Compiler: Compiled 396 to 145 computations (63.4% saved)

prune7.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Error

0.0b

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fabs.f64 (/.f64 (-.f64 y x) y))
▶	48.9b	(*.f64 (/.f64 1 y) (-.f64 x y))
▶	48.8b	(-.f64 (/.f64 x y) (/.f64 y y))

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize39.0ms (0.8%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 5 computations (72.2% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`fma-def_binary64`
12×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Stop Event

1×

saturated

Counts

57 → 37

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
750×	`add-log-exp_binary64`
750×	`log1p-expm1-u_binary64`
750×	`expm1-log1p-u_binary64`
734×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	149	7
2	2035	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	141
1	11	141
2	12	141

Stop Event

1×

saturated

Counts

63 → 43

Calls

Call 1

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

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

localize8.0ms (0.2%)

Compiler: Compiled 17 to 5 computations (70.6% saved)

eval15.0ms (0.3%)

Compiler: Compiled 848 to 395 computations (53.4% saved)

prune77.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	76	7	83

Error

Counts

83 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	55.0b	(/.f64 (.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 y x))
	35.4b	(fabs.f64 (/.f64 (neg.f64 x) y))
	63.1b	-1
▶	48.8b	(-.f64 (/.f64 x y) 1)
▶	48.3b	(/.f64 x y)
▶	26.4b	(fabs.f64 1)
▶	0b	(fabs.f64 (-.f64 1 (/.f64 x y)))

Compiler

Compiled 99 to 69 computations (30.3% saved)

localize7.0ms (0.1%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.6b	(-.f64 (.f64 x x) (.f64 y y))
✓	7.4b	(/.f64 (.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 y x))
✓	20.9b	(.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 50 to 16 computations (68% saved)

series11.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 y x))
1.0ms	y	@	0	(.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y)))
1.0ms	y	@	inf	(.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y)))
1.0ms	x	@	0	(.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y)))
1.0ms	x	@	inf	(.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y)))

rewrite122.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`log-prod_binary64`
662×	`fma-def_binary64`
290×	`fma-neg_binary64`
226×	`pow1/3_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	256	36
2	4011	36

Stop Event

1×	node limit

Counts

3 → 325

Calls

Call 1

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

Outputs

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(*.f64 (cbrt.f64 x) x) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 y (neg.f64 y) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 y (neg.f64 y) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)) (fma.f64 y (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)) (+.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 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(sqrt.f64 x) x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 y (neg.f64 y) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)) (fma.f64 y (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)) (+.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x 4))) (fma.f64 y (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x 4))) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x 4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x 4))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x 4))) (+.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 y y (*.f64 x x))) (fma.f64 y (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 y y (*.f64 x x))) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 y y (*.f64 x x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 y y (*.f64 x x))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 y y (*.f64 x x))) (+.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) (+.f64 y x) (fma.f64 y (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) (+.f64 y x) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) (+.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) (+.f64 y x) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) (+.f64 y x) (+.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 y (neg.f64 y) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) (*.f64 y y))) (cbrt.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)))) (cbrt.f64 (fma.f64 y (neg.f64 y) (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 y (neg.f64 y))) (cbrt.f64 (*.f64 y (neg.f64 y)))) (cbrt.f64 (*.f64 y (neg.f64 y))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 y (neg.f64 y))) y) (hypot.f64 (sqrt.f64 (*.f64 y (neg.f64 y))) y) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 y (neg.f64 y))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) 1) y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 y (neg.f64 y) (*.f64 y y)))))))))

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

734×	`associate-/r*_binary64`
652×	`associate-/l/_binary64`
530×	`associate-/r/_binary64`
520×	`associate-*l/_binary64`
380×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	597
1	34	561
2	54	561
3	116	561
4	378	561
5	1850	561

Stop Event

1×	node limit

Counts

397 → 341

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))

Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 y (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) y)
(-.f64 (*.f64 x (/.f64 x y)) y)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))

localize2.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

eval140.0ms (2.8%)

Compiler: Compiled 8300 to 2654 computations (68% saved)

prune63.0ms (1.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	337	4	341
Fresh	0	2	2
Picked	0	1	1
Done	1	3	4
Total	338	10	348

Error

Counts

348 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.7b	(/.f64 (neg.f64 y) (+.f64 y x))
▶	35.4b	(fabs.f64 (/.f64 (neg.f64 x) y))
▶	52.1b	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x))
▶	54.1b	(/.f64 (.f64 (/.f64 1 y) (.f64 x x)) (+.f64 y x))
	63.1b	-1
▶	62.9b	(/.f64 (.f64 (/.f64 1 y) (.f64 y (neg.f64 y))) (+.f64 y x))
✓	48.8b	(-.f64 (/.f64 x y) 1)
✓	48.3b	(/.f64 x y)
✓	26.4b	(fabs.f64 1)
✓	0b	(fabs.f64 (-.f64 1 (/.f64 x y)))

Compiler

Compiled 133 to 87 computations (34.6% saved)

localize6.0ms (0.1%)

Compiler: Compiled 15 to 5 computations (66.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`pow1_binary64`
672×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	140	7
2	2265	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-def_binary64`
633×	`associate-/l*_binary64`
445×	`associate-/r*_binary64`
412×	`associate-*l/_binary64`
395×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	474
1	94	444
2	281	390
3	1211	336
4	7475	336

Stop Event

1×	node limit

Counts

62 → 53

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))

Outputs
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x)))
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) -1)
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 -1 (-.f64 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 -1 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 x (/.f64 (*.f64 y y) x)))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y)))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) -1)
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 -1 (-.f64 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 -1 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 x (/.f64 (*.f64 y y) x)))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y)))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) -1)
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 -1 (-.f64 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 -1 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 x (/.f64 (*.f64 y y) x)))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x)))
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x)))
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 x y))
✓	10.8b	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x))

Compiler

Compiled 24 to 6 computations (75% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x))
1.0ms	x	@	inf	(*.f64 x (/.f64 x y))
1.0ms	y	@	0	(*.f64 x (/.f64 x y))
1.0ms	y	@	inf	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x))
1.0ms	x	@	0	(*.f64 x (/.f64 x y))

rewrite725.0ms (14.3%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
500×	`prod-diff_binary64`
328×	`pow-prod-down_binary64`
234×	`pow2_binary64`
178×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	164	20
2	2651	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 (+.f64 x y) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 x y) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))) 2) (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x y))) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (/.f64 x y))) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) 1) (/.f64 (/.f64 x (sqrt.f64 y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (/.f64 x y) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x y) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 x y)) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) 1))))))

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
672×	`associate-/l*_binary64`
420×	`associate-/r*_binary64`
404×	`fma-neg_binary64`
393×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	678
1	104	651
2	292	612
3	1237	588
4	7274	588

Stop Event

1×	node limit

Counts

135 → 104

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)

Outputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (pow.f64 (/.f64 x y) 3))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(+.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3))
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5))))
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1))
(+.f64 (+.f64 -1 (/.f64 x y)) (/.f64 y x))
(+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x)))
(-.f64 (/.f64 x y) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))) -1)
(+.f64 -1 (+.f64 (/.f64 y x) (-.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 x x) y)))))
(-.f64 (+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1))
(+.f64 (+.f64 -1 (/.f64 x y)) (/.f64 y x))
(+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x)))
(-.f64 (/.f64 x y) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))) -1)
(+.f64 -1 (+.f64 (/.f64 y x) (-.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 x x) y)))))
(-.f64 (+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1))
(+.f64 (+.f64 -1 (/.f64 x y)) (/.f64 y x))
(+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x)))
(-.f64 (/.f64 x y) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))) -1)
(+.f64 -1 (+.f64 (/.f64 y x) (-.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 x x) y)))))
(-.f64 (+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (pow.f64 (/.f64 x y) 3))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(+.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3))
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5))))
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (pow.f64 (/.f64 x y) 3))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(+.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3))
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5))))
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

localize21.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	7.4b	(.f64 (/.f64 1 y) (.f64 x x))
✓	10.8b	(/.f64 (.f64 (/.f64 1 y) (.f64 x x)) (+.f64 y x))

Compiler

Compiled 32 to 14 computations (56.3% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
539×	`log-prod_binary64`
365×	`pow-prod-down_binary64`
257×	`pow2_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	199	20
2	2966	20

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (*.f64 (+.f64 y x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (*.f64 x x) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 y x))) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (/.f64 1 (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) 1) (/.f64 (*.f64 x x) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 (/.f64 1 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (+.f64 y x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) 1) (/.f64 (/.f64 x (sqrt.f64 y)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 1) (/.f64 x (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) -2) (/.f64 (*.f64 x (/.f64 x y)) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 x (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y x) -1/2) (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (+.f64 y x))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 y x))) (/.f64 (/.f64 1 y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (sqrt.f64 (+.f64 y x))) (/.f64 x (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 y x) (pow.f64 x -2))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (+.f64 y x) (pow.f64 x -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (*.f64 (+.f64 y x) (pow.f64 x -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 x y)) (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 y x) (pow.f64 x -2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) x) (/.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1))))))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
673×	`associate-/l*_binary64`
422×	`associate-/r*_binary64`
412×	`associate-*l/_binary64`
404×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	678
1	104	651
2	292	612
3	1235	588
4	7337	588

Stop Event

1×	node limit

Counts

133 → 102

Calls

Call 1

Inputs
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)

Outputs
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1))
(+.f64 (+.f64 (/.f64 x y) -1) (/.f64 y x))
(+.f64 (+.f64 (/.f64 x y) (/.f64 y x)) -1)
(-.f64 (/.f64 y x) (-.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))) -1)
(+.f64 (/.f64 y x) (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 y x) (/.f64 y x))) -1))
(+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 1))
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(.f64 (/.f64 x (.f64 y y)) (-.f64 x (*.f64 x (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (.f64 x x) (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5))))
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(.f64 (/.f64 x (.f64 y y)) (-.f64 x (*.f64 x (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (.f64 x x) (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5))))
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(.f64 (/.f64 x (.f64 y y)) (-.f64 x (*.f64 x (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (.f64 x x) (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3))
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5))))
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1))
(+.f64 (+.f64 (/.f64 x y) -1) (/.f64 y x))
(+.f64 (+.f64 (/.f64 x y) (/.f64 y x)) -1)
(-.f64 (/.f64 y x) (-.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))) -1)
(+.f64 (/.f64 y x) (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 y x) (/.f64 y x))) -1))
(+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 1))
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1)
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1))
(+.f64 (+.f64 (/.f64 x y) -1) (/.f64 y x))
(+.f64 (+.f64 (/.f64 x y) (/.f64 y x)) -1)
(-.f64 (/.f64 y x) (-.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))) -1)
(+.f64 (/.f64 y x) (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 y x) (/.f64 y x))) -1))
(+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 1))
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

localize24.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (/.f64 1 y) (.f64 y (neg.f64 y))) (+.f64 y x))
✓	26.4b	(.f64 (/.f64 1 y) (.f64 y (neg.f64 y)))

Compiler

Compiled 37 to 15 computations (59.5% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite83.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`pow1_binary64`
912×	`add-log-exp_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
111×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	220	8
2	3588	8

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def_binary64`
634×	`associate-/l*_binary64`
449×	`associate-/r*_binary64`
418×	`associate-*l/_binary64`
395×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	510
1	96	480
2	283	426
3	1222	372
4	7507	372

Stop Event

1×	node limit

Counts

113 → 93

Calls

Call 1

Inputs
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))

Outputs
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (neg.f64 y) x) (/.f64 (.f64 y y) (.f64 x x)))
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x))))
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) -1)
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y)))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) -1)
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y)))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) -1)
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (neg.f64 y) x) (/.f64 (.f64 y y) (.f64 x x)))
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x))))
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (neg.f64 y) x) (/.f64 (.f64 y y) (.f64 x x)))
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x))))
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))

eval127.0ms (2.5%)

Compiler: Compiled 4491 to 1561 computations (65.2% saved)

prune136.0ms (2.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	345	7	352
Fresh	1	0	1
Picked	0	1	1
Done	2	6	8
Total	348	14	362

Error

Counts

362 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	62.7b	(/.f64 (neg.f64 y) (+.f64 y x))
✓	35.4b	(fabs.f64 (/.f64 (neg.f64 x) y))
	62.9b	(/.f64 (/.f64 (.f64 (.f64 y y) -1) y) (+.f64 y x))
	27.3b	(*.f64 y (/.f64 1 (-.f64 y x)))
	26.7b	(/.f64 (/.f64 y 1) (+.f64 y x))
✓	0b	(fabs.f64 (-.f64 1 (/.f64 x y)))
	61.9b	(/.f64 x (/.f64 (*.f64 y y) x))
	62.4b	(/.f64 (neg.f64 y) x)
	26.8b	(-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1)
✓	62.9b	(/.f64 (.f64 (/.f64 1 y) (.f64 y (neg.f64 y))) (+.f64 y x))
✓	48.8b	(-.f64 (/.f64 x y) 1)
✓	48.3b	(/.f64 x y)
✓	26.4b	(fabs.f64 1)
	63.1b	-1

Compiler

Compiled 113 to 77 computations (31.9% saved)

regimes137.0ms (2.7%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
29.0ms	x
26.0ms	y
10.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
0b	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 174 to 82 computations (52.9% saved)

regimes194.0ms (3.8%)

Counts

19 → 8

Calls

Call 1

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

Outputs
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 1)
(fabs.f64 (/.f64 (neg.f64 x) y))
(-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1)
(fabs.f64 1)
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 1)
(fabs.f64 (/.f64 (neg.f64 x) y))

Calls

2 calls:

134.0ms	x
53.0ms	y

Results

Error	Segments	Branch
15.1b	8	`x`
16.5b	3	`y`

Compiler

Compiled 137 to 62 computations (54.7% saved)

bsearch187.0ms (3.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
30.0ms	2.0303605066907297e+44	6.415987586559032e+52
30.0ms	4.628969437061893e-47	9.353323836144093e-36
30.0ms	9.712446762991152e-68	1.4441004464508993e-67
45.0ms	-1.427075381726709e-154	-1.4810159048998977e-158
16.0ms	-1.615185901717486e-41	-2.721018854717756e-44
17.0ms	-1.5555939960240409e-25	-1.792063196423507e-27
18.0ms	-1.1329364809276365e+34	-7.244647804404381e+33

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes225.0ms (4.4%)

Counts

18 → 5

Calls

Call 1

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

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

Calls

2 calls:

149.0ms	y
67.0ms	x

Results

Error	Segments	Branch
23.2b	3	`x`
21.6b	5	`y`

Compiler

Compiled 132 to 59 computations (55.3% saved)

bsearch131.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	1.8135517851873296e-16	0.005776755509262361
17.0ms	3.716480590929634e-31	3.1234456938820446e-30
41.0ms	4.785162439705423e-158	5.719253200945572e-157
56.0ms	-3.5592435024820115e-225	-6.138869255891319e-233

Compiler

Compiled 209 to 175 computations (16.3% saved)

regimes88.0ms (1.7%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

2 calls:

47.0ms	y
37.0ms	x

Results

Error	Segments	Branch
23.4b	3	`x`
21.7b	5	`y`

Compiler

Compiled 130 to 57 computations (56.2% saved)

bsearch105.0ms (2.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	1.8135517851873296e-16	0.005776755509262361
16.0ms	3.716480590929634e-31	3.1234456938820446e-30
38.0ms	4.785162439705423e-158	5.719253200945572e-157
34.0ms	-3.5592435024820115e-225	-6.138869255891319e-233

Compiler

Compiled 284 to 205 computations (27.8% saved)

regimes67.0ms (1.3%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	y
31.0ms	x

Results

Error	Segments	Branch
23.9b	3	`x`
22.2b	5	`y`

Compiler

Compiled 35 to 19 computations (45.7% saved)

bsearch149.0ms (3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	1.8135517851873296e-16	0.005776755509262361
16.0ms	3.716480590929634e-31	3.1234456938820446e-30
81.0ms	4.785162439705423e-158	5.719253200945572e-157
36.0ms	-3.5592435024820115e-225	-6.138869255891319e-233

Compiler

Compiled 284 to 205 computations (27.8% saved)

regimes57.0ms (1.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 x y)

Calls

2 calls:

51.0ms	x
5.0ms	y

Results

Error	Segments	Branch
48.3b	1	`x`
48.3b	1	`y`

Compiler

Compiled 28 to 15 computations (46.4% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
-1

Outputs
-1

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
63.1b	1	`x`
63.1b	1	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`fabs-mul_binary64`
3×	`*-commutative_binary64`
3×	`fabs-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	272
1	84	264
2	100	264
3	109	264
4	113	264
5	114	264

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(if (<=.f64 x -11329364809276364971724410984595456) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -1693891862192197/10889035741470030830827987437816582766592) (fabs.f64 1) (if (<=.f64 x -6336678891651833/392318858461667547739736838950479151006397215279002157056) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -2154291547209783/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) (if (<=.f64 x 1474067827645421/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (fabs.f64 1) (if (<=.f64 x 2380309470120601/51422017416287688817342786954917203280710495801049370729644032) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 203036050669072972855665832178351880301182976) (fabs.f64 1) (fabs.f64 (/.f64 (neg.f64 x) y)))))))))
(if (<=.f64 y -6935984542755655/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (fabs.f64 1) (if (<=.f64 y 5935929635354509/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 2121735339356321/5708990770823839524233143877797980545530986496) (fabs.f64 1) (if (<=.f64 y 7356640028920625/40564819207303340847894502572032) (-.f64 (/.f64 x y) 1) (fabs.f64 1)))))
(if (<=.f64 y -6935984542755655/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (/.f64 (/.f64 y 1) (+.f64 y x)) (if (<=.f64 y 5935929635354509/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 2121735339356321/5708990770823839524233143877797980545530986496) (/.f64 (/.f64 y 1) (+.f64 y x)) (if (<=.f64 y 7356640028920625/40564819207303340847894502572032) (-.f64 (/.f64 x y) 1) (/.f64 (/.f64 y 1) (+.f64 y x))))))
(if (<=.f64 y -6935984542755655/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 y (/.f64 1 (-.f64 y x))) (if (<=.f64 y 5935929635354509/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 2121735339356321/5708990770823839524233143877797980545530986496) (.f64 y (/.f64 1 (-.f64 y x))) (if (<=.f64 y 7356640028920625/40564819207303340847894502572032) (-.f64 (/.f64 x y) 1) (*.f64 y (/.f64 1 (-.f64 y x)))))))
(/.f64 x y)
-1

Outputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(if (<=.f64 x -11329364809276364971724410984595456) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -1693891862192197/10889035741470030830827987437816582766592) (fabs.f64 1) (if (<=.f64 x -6336678891651833/392318858461667547739736838950479151006397215279002157056) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -2154291547209783/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) (if (<=.f64 x 1474067827645421/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (fabs.f64 1) (if (<=.f64 x 2380309470120601/51422017416287688817342786954917203280710495801049370729644032) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 203036050669072972855665832178351880301182976) (fabs.f64 1) (fabs.f64 (/.f64 (neg.f64 x) y)))))))))
(if (<=.f64 x -11329364809276364971724410984595456) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -1693891862192197/10889035741470030830827987437816582766592) 1 (if (<=.f64 x -6336678891651833/392318858461667547739736838950479151006397215279002157056) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -2154291547209783/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (+.f64 (+.f64 1 (/.f64 y (+.f64 x y))) -1) (if (<=.f64 x 1474067827645421/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) 1 (if (<=.f64 x 2380309470120601/51422017416287688817342786954917203280710495801049370729644032) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 203036050669072972855665832178351880301182976) 1 (fabs.f64 (/.f64 (neg.f64 x) y)))))))))
(if (<=.f64 x -11329364809276364971724410984595456) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -1693891862192197/10889035741470030830827987437816582766592) 1 (if (<=.f64 x -6336678891651833/392318858461667547739736838950479151006397215279002157056) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -2154291547209783/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (+.f64 (+.f64 1 (/.f64 y (+.f64 x y))) -1) (if (<=.f64 x 1474067827645421/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) 1 (if (<=.f64 x 2380309470120601/51422017416287688817342786954917203280710495801049370729644032) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 203036050669072972855665832178351880301182976) 1 (fabs.f64 (/.f64 x y)))))))))
(if (<=.f64 y -6935984542755655/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (fabs.f64 1) (if (<=.f64 y 5935929635354509/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 2121735339356321/5708990770823839524233143877797980545530986496) (fabs.f64 1) (if (<=.f64 y 7356640028920625/40564819207303340847894502572032) (-.f64 (/.f64 x y) 1) (fabs.f64 1)))))
(if (<=.f64 y -6935984542755655/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) 1 (if (<=.f64 y 5935929635354509/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (+.f64 (/.f64 x y) -1) (if (<=.f64 y 2121735339356321/5708990770823839524233143877797980545530986496) 1 (if (<=.f64 y 7356640028920625/40564819207303340847894502572032) (+.f64 (/.f64 x y) -1) 1))))
(if (<=.f64 y -6935984542755655/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (/.f64 (/.f64 y 1) (+.f64 y x)) (if (<=.f64 y 5935929635354509/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 2121735339356321/5708990770823839524233143877797980545530986496) (/.f64 (/.f64 y 1) (+.f64 y x)) (if (<=.f64 y 7356640028920625/40564819207303340847894502572032) (-.f64 (/.f64 x y) 1) (/.f64 (/.f64 y 1) (+.f64 y x))))))
(if (<=.f64 y -6935984542755655/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (/.f64 y (+.f64 x y)) (if (<=.f64 y 5935929635354509/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (+.f64 (/.f64 x y) -1) (if (<=.f64 y 2121735339356321/5708990770823839524233143877797980545530986496) (/.f64 y (+.f64 x y)) (if (<=.f64 y 7356640028920625/40564819207303340847894502572032) (+.f64 (/.f64 x y) -1) (/.f64 y (+.f64 x y))))))
(if (<=.f64 y -6935984542755655/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 y (/.f64 1 (-.f64 y x))) (if (<=.f64 y 5935929635354509/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 2121735339356321/5708990770823839524233143877797980545530986496) (.f64 y (/.f64 1 (-.f64 y x))) (if (<=.f64 y 7356640028920625/40564819207303340847894502572032) (-.f64 (/.f64 x y) 1) (*.f64 y (/.f64 1 (-.f64 y x)))))))
(if (<=.f64 y -6935984542755655/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 y (/.f64 1 (-.f64 y x))) (if (<=.f64 y 5935929635354509/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (+.f64 (/.f64 x y) -1) (if (<=.f64 y 2121735339356321/5708990770823839524233143877797980545530986496) (.f64 y (/.f64 1 (-.f64 y x))) (if (<=.f64 y 7356640028920625/40564819207303340847894502572032) (+.f64 (/.f64 x y) -1) (*.f64 y (/.f64 1 (-.f64 y x)))))))
(/.f64 x y)
-1

Compiler

Compiled 197 to 118 computations (40.1% saved)

soundness12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`fma-def_binary64`
12×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Stop Event

1×

saturated

Compiler

Compiled 24 to 18 computations (25% saved)

end75.0ms (1.5%)

Compiler: Compiled 185 to 99 computations (46.5% saved)

Iter	Nodes	Cost
0	11	22
1	16	22
2	24	22
3	36	22
4	66	22
5	124	22
6	160	22
7	212	22
8	261	22
9	302	22
10	302	22
0	2	2

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	48	11
5	104	11
6	157	11
7	199	11
8	233	11
9	260	11
10	275	11
11	275	11

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	11	22
1	16	22
2	24	22
3	36	22
4	66	22
5	124	22
6	160	22
7	212	22
8	261	22
9	302	22
10	302	22
0	2	2

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	48	11
5	104	11
6	157	11
7	199	11
8	233	11
9	260	11
10	275	11
11	275	11

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Details

analyze81.0ms (1.6%)

sample1.1s (21.1%)

preprocess26.0ms (0.5%)

simplify15.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite53.0ms (1%)

simplify46.0ms (0.9%)

eval7.0ms (0.1%)

prune7.0ms (0.1%)

localize39.0ms (0.8%)

series4.0ms (0.1%)

rewrite54.0ms (1.1%)

simplify17.0ms (0.3%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite56.0ms (1.1%)

simplify10.0ms (0.2%)

localize8.0ms (0.2%)

eval15.0ms (0.3%)

prune77.0ms (1.5%)

localize7.0ms (0.1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize15.0ms (0.3%)

series11.0ms (0.2%)

rewrite122.0ms (2.4%)

simplify56.0ms (1.1%)

localize2.0ms (0%)

eval140.0ms (2.8%)

prune63.0ms (1.3%)

localize6.0ms (0.1%)

localize8.0ms (0.1%)

series4.0ms (0.1%)

rewrite54.0ms (1.1%)

simplify63.0ms (1.3%)

localize11.0ms (0.2%)

series7.0ms (0.1%)

rewrite725.0ms (14.3%)

simplify81.0ms (1.6%)

localize21.0ms (0.4%)

series6.0ms (0.1%)

rewrite80.0ms (1.6%)

simplify66.0ms (1.3%)

localize24.0ms (0.5%)

series5.0ms (0.1%)

rewrite83.0ms (1.6%)

simplify70.0ms (1.4%)

eval127.0ms (2.5%)

prune136.0ms (2.7%)

regimes137.0ms (2.7%)

regimes194.0ms (3.8%)

bsearch187.0ms (3.7%)

regimes225.0ms (4.4%)

bsearch131.0ms (2.6%)

regimes88.0ms (1.7%)

bsearch105.0ms (2.1%)

regimes67.0ms (1.3%)

bsearch149.0ms (3%)

regimes57.0ms (1.1%)

regimes8.0ms (0.1%)

simplify16.0ms (0.3%)

soundness12.0ms (0.2%)

end75.0ms (1.5%)

Profiling

Iter	Nodes	Cost
0	11	22
1	16	22
2	24	22
3	36	22
4	66	22
5	124	22
6	160	22
7	212	22
8	261	22
9	302	22
10	302	22
0	2	2

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	48	11
5	104	11
6	157	11
7	199	11
8	233	11
9	260	11
10	275	11
11	275	11

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147