Details

analyze80.0ms (2.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
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)

sample1.2s (32%)

Results

1.1s	8256×	body	256	valid
39.0ms	415×	body	256	infinite

Bogosity

preprocess57.0ms (1.5%)

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 (0.4%)

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)

localize9.0ms (0.2%)

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	x	@	inf	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
1.0ms	y	@	inf	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite54.0ms (1.4%)

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)))))))

simplify45.0ms (1.2%)

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))

eval8.0ms (0.2%)

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

prune8.0ms (0.2%)

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))
▶	49.9b	(*.f64 (/.f64 1 y) (-.f64 x y))
▶	49.8b	(-.f64 (/.f64 x y) (/.f64 y y))

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize6.0ms (0.2%)

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)

series22.0ms (0.6%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	y	@	inf	(/.f64 (-.f64 y x) y)
1.0ms	x	@	-inf	(/.f64 (-.f64 y x) y)
1.0ms	y	@	0	(/.f64 (-.f64 y x) y)
1.0ms	x	@	inf	(/.f64 (-.f64 y x) y)
0.0ms	x	@	0	(/.f64 (-.f64 y x) y)

rewrite53.0ms (1.4%)

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))))))))

simplify19.0ms (0.5%)

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))

localize36.0ms (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	y	@	inf	(*.f64 (/.f64 1 y) (-.f64 x y))
0.0ms	x	@	inf	(*.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))

rewrite51.0ms (1.4%)

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)))))))

simplify9.0ms (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)

localize31.0ms (0.8%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
731×	`add-log-exp_binary64`
730×	`log1p-expm1-u_binary64`
730×	`expm1-log1p-u_binary64`
717×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	163	7
2	1977	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.3%)

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

68 → 47

Calls

Call 1

Inputs
-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 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)

Outputs
-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)
(/.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)

eval54.0ms (1.4%)

Compiler: Compiled 1323 to 623 computations (52.9% saved)

prune86.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	120	7	127
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	122	8	130

Error

Counts

130 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.4b	(/.f64 x y)
▶	27.4b	(fabs.f64 1)
	63.1b	-1
▶	0.0b	(fabs.f64 (-.f64 1 (/.f64 x y)))
▶	49.8b	(-.f64 (/.f64 x y) 1)
	34.3b	(fabs.f64 (/.f64 (neg.f64 x) y))
▶	53.7b	(/.f64 (/.f64 (*.f64 y (-.f64 x y)) y) y)
✓	49.9b	(*.f64 (/.f64 1 y) (-.f64 x y))

Compiler

Compiled 96 to 67 computations (30.2% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1714	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.4%)

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

52 → 33

Calls

Call 1

Inputs
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)))
(*.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)))

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 6

Calls

6 calls:

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

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
628×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1743	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15

Stop Event

1×

saturated

Counts

38 → 34

Calls

Call 1

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

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

localize49.0ms (1.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 x y))
✓	0.0b	(/.f64 (/.f64 (*.f64 y (-.f64 x y)) y) y)
✓	24.1b	(/.f64 (*.f64 y (-.f64 x y)) y)

Compiler

Compiled 28 to 6 computations (78.6% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(*.f64 y (-.f64 x y))
0.0ms	x	@	-inf	(*.f64 y (-.f64 x y))
0.0ms	y	@	0	(*.f64 y (-.f64 x y))
0.0ms	y	@	inf	(*.f64 y (-.f64 x y))
0.0ms	x	@	0	(*.f64 y (-.f64 x y))

rewrite78.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary64`
404×	`prod-diff_binary64`
373×	`exp-prod_binary64`
329×	`pow-prod-down_binary64`
228×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	162	30
2	2602	18

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

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

Outputs

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

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

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

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
831×	`fma-neg_binary64`
806×	`associate-/l/_binary64`
560×	`associate-/l*_binary64`
421×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	471
1	31	435
2	47	381
3	90	381
4	253	381
5	824	381
6	2009	381
7	4411	381

Stop Event

1×	node limit

Counts

289 → 231

Calls

Call 1

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

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

localize11.0ms (0.3%)

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

eval111.0ms (3%)

Compiler: Compiled 3645 to 1401 computations (61.6% saved)

prune60.0ms (1.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	294	4	298
Fresh	1	1	2
Picked	0	1	1
Done	1	4	5
Total	296	10	306

Error

Counts

306 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.4b	(/.f64 x y)
✓	27.4b	(fabs.f64 1)
▶	63.3b	(/.f64 (/.f64 (*.f64 y (neg.f64 y)) y) y)
▶	56.1b	(/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) y) (+.f64 y x)) y) y)
✓	49.9b	(*.f64 (/.f64 1 y) (-.f64 x y))
	63.1b	-1
▶	34.3b	(fabs.f64 (/.f64 (neg.f64 x) y))
✓	0.0b	(fabs.f64 (-.f64 1 (/.f64 x y)))
✓	49.8b	(-.f64 (/.f64 x y) 1)
▶	53.4b	(/.f64 (/.f64 (*.f64 y x) y) y)

Compiler

Compiled 81 to 53 computations (34.6% saved)

localize6.0ms (0.2%)

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.7b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 19 to 5 computations (73.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`pow1_binary64`
577×	`add-log-exp_binary64`
577×	`log1p-expm1-u_binary64`
577×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1513	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

64 → 41

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	27.3b	(/.f64 (*.f64 y (neg.f64 y)) y)

Compiler

Compiled 23 to 6 computations (73.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (1.5%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

346×	`pow1_binary64`
333×	`add-sqr-sqrt_binary64`
327×	`*-un-lft-identity_binary64`
323×	`add-log-exp_binary64`
322×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	110	9
2	1795	9
0	5	9

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	36
1	6	36
2	8	36
3	9	36
4	11	36
5	15	36
6	19	36
7	24	36

Stop Event

1×

saturated

Counts

22 → 12

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)

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)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) y)
✓	4.7b	(-.f64 (.f64 x x) (.f64 y y))
✓	11.7b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) y) (+.f64 y x))
✓	24.1b	(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) y) (+.f64 y x)) y)

Compiler

Compiled 74 to 10 computations (86.5% saved)

series12.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite120.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`log-prod_binary64`
677×	`fma-def_binary64`
292×	`fma-neg_binary64`
240×	`log-div_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	64
1	244	40
2	4101	40

Stop Event

1×	node limit

Counts

4 → 328

Calls

Call 1

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

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

simplify107.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

671×	`unswap-sqr_binary64`
384×	`distribute-rgt-in_binary64`
372×	`distribute-rgt-neg-in_binary64`
361×	`fma-def_binary64`
338×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	849
1	49	777
2	96	723
3	225	723
4	893	723
5	2796	723
6	7319	723

Stop Event

1×	node limit

Counts

424 → 347

Calls

Call 1

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

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

eval110.0ms (2.9%)

Compiler: Compiled 9104 to 2622 computations (71.2% saved)

prune79.0ms (2.1%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	392	8	400
Fresh	0	1	1
Picked	1	0	1
Done	0	8	8
Total	393	17	410

Error

Counts

410 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(/.f64 (/.f64 (/.f64 (.f64 (.f64 x x) y) (+.f64 y x)) y) y)
✓	34.3b	(fabs.f64 (/.f64 (neg.f64 x) y))
✓	49.4b	(/.f64 x y)
✓	27.4b	(fabs.f64 1)
✓	63.3b	(/.f64 (/.f64 (*.f64 y (neg.f64 y)) y) y)
✓	0.0b	(fabs.f64 (-.f64 1 (/.f64 x y)))
	49.5b	(/.f64 (*.f64 y (/.f64 1 (/.f64 y x))) y)
	56.2b	(/.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) y)) (-.f64 (.f64 y y) (*.f64 x x))) (-.f64 y x)) y) y)
	63.1b	-1
	49.5b	(/.f64 (.f64 x (.f64 y (/.f64 1 y))) y)
	49.5b	(/.f64 (.f64 y (.f64 x (/.f64 1 y))) y)
✓	49.8b	(-.f64 (/.f64 x y) 1)
	52.6b	(/.f64 (-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1) y)
✓	53.4b	(/.f64 (/.f64 (*.f64 y x) y) y)
✓	49.9b	(*.f64 (/.f64 1 y) (-.f64 x y))
	63.3b	(/.f64 (.f64 (.f64 y (neg.f64 y)) (/.f64 1 y)) y)
	53.4b	(/.f64 (.f64 (/.f64 1 y) (.f64 y x)) y)

Compiler

Compiled 173 to 110 computations (36.4% saved)

regimes44.0ms (1.2%)

Counts

23 → 1

Calls

Call 1

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

12.0ms	y
11.0ms	x
7.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
6.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

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

Compiler

Compiled 216 to 101 computations (53.2% saved)

regimes153.0ms (4.1%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

2 calls:

98.0ms	x
49.0ms	y

Results

Error	Segments	Branch
16.5b	5	`x`
13.2b	5	`y`

Compiler

Compiled 179 to 81 computations (54.7% saved)

bsearch160.0ms (4.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	3597357.8123613875	103371639.8421705
54.0ms	2.6943047946446725e-114	3.7692158840757314e-108
62.0ms	2.065199369622757e-150	2.2660134412991772e-149
20.0ms	-3.4359365075426654e+54	-9.131560781034435e+53

Compiler

Compiled 209 to 175 computations (16.3% saved)

regimes114.0ms (3%)

Counts

18 → 5

Calls

Call 1

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

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

Calls

2 calls:

70.0ms	y
38.0ms	x

Results

Error	Segments	Branch
24.8b	4	`x`
23.4b	5	`y`

Compiler

Compiled 169 to 78 computations (53.8% saved)

bsearch106.0ms (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	3597357.8123613875	103371639.8421705
15.0ms	6.996696279861969e-56	4.98854470876154e-50
55.0ms	1.8755614416819714e-240	1.7900453899173503e-229
19.0ms	-5.874714967498482e-42	-2.34060058201857e-47

Compiler

Compiled 124 to 100 computations (19.4% saved)

regimes27.0ms (0.7%)

Accuracy

Total -14.2b remaining (-28.7%)

Threshold costs -14.2b (-28.7%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(/.f64 x y)

Calls

2 calls:

11.0ms	x
11.0ms	y

Results

Error	Segments	Branch
49.4b	1	`x`
49.4b	1	`y`

Compiler

Compiled 167 to 76 computations (54.5% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`fabs-mul_binary64`
3×	`fabs-sub_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	95
1	49	91
2	62	91
3	71	91
4	75	91
5	76	91

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(if (<=.f64 y -3435936507542665374507276669282852819790613241604866048) (fabs.f64 1) (if (<=.f64 y 967446422378569/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 152869192782745/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (fabs.f64 1) (if (<=.f64 y 1931316769512783/536870912) (fabs.f64 (/.f64 (neg.f64 x) y)) (fabs.f64 1)))))
(if (<=.f64 y -2304761469836677/392318858461667547739736838950479151006397215279002157056) (fabs.f64 1) (if (<=.f64 y 7132140987364465/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312) (/.f64 x y) (if (<=.f64 y 1931576919565619/27606985387162255149739023449108101809804435888681546220650096895197184) (fabs.f64 1) (if (<=.f64 y 1931316769512783/536870912) (-.f64 (/.f64 x y) 1) (fabs.f64 1)))))
(/.f64 x y)
-1

Outputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(if (<=.f64 y -3435936507542665374507276669282852819790613241604866048) (fabs.f64 1) (if (<=.f64 y 967446422378569/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 152869192782745/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (fabs.f64 1) (if (<=.f64 y 1931316769512783/536870912) (fabs.f64 (/.f64 (neg.f64 x) y)) (fabs.f64 1)))))
(if (<=.f64 y -3435936507542665374507276669282852819790613241604866048) 1 (if (<=.f64 y 967446422378569/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 152869192782745/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) 1 (if (<=.f64 y 1931316769512783/536870912) (fabs.f64 (/.f64 (neg.f64 x) y)) 1))))
(if (<=.f64 y -3435936507542665374507276669282852819790613241604866048) 1 (if (<=.f64 y 967446422378569/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (fabs.f64 (/.f64 x y)) (if (<=.f64 y 152869192782745/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) 1 (if (<=.f64 y 1931316769512783/536870912) (fabs.f64 (/.f64 x y)) 1))))
(if (<=.f64 y -2304761469836677/392318858461667547739736838950479151006397215279002157056) (fabs.f64 1) (if (<=.f64 y 7132140987364465/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312) (/.f64 x y) (if (<=.f64 y 1931576919565619/27606985387162255149739023449108101809804435888681546220650096895197184) (fabs.f64 1) (if (<=.f64 y 1931316769512783/536870912) (-.f64 (/.f64 x y) 1) (fabs.f64 1)))))
(if (<=.f64 y -2304761469836677/392318858461667547739736838950479151006397215279002157056) 1 (if (<=.f64 y 7132140987364465/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312) (/.f64 x y) (if (<=.f64 y 1931576919565619/27606985387162255149739023449108101809804435888681546220650096895197184) 1 (if (<=.f64 y 1931316769512783/536870912) (+.f64 (/.f64 x y) -1) 1))))
(/.f64 x y)
-1

Compiler

Compiled 74 to 51 computations (31.1% saved)

soundness11.0ms (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

Compiler

Compiled 24 to 18 computations (25% saved)

end56.0ms (1.5%)

Compiler: Compiled 66 to 40 computations (39.4% 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	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

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

analyze80.0ms (2.1%)

sample1.2s (32%)

preprocess57.0ms (1.5%)

simplify15.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite54.0ms (1.4%)

simplify45.0ms (1.2%)

eval8.0ms (0.2%)

prune8.0ms (0.2%)

localize6.0ms (0.2%)

series22.0ms (0.6%)

rewrite53.0ms (1.4%)

simplify19.0ms (0.5%)

localize36.0ms (1%)

series3.0ms (0.1%)

rewrite51.0ms (1.4%)

simplify9.0ms (0.2%)

localize31.0ms (0.8%)

series3.0ms (0.1%)

rewrite84.0ms (2.2%)

simplify13.0ms (0.3%)

eval54.0ms (1.4%)

prune86.0ms (2.3%)

localize9.0ms (0.2%)

series2.0ms (0.1%)

rewrite50.0ms (1.3%)

simplify17.0ms (0.4%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite49.0ms (1.3%)

simplify7.0ms (0.2%)

localize49.0ms (1.3%)

series8.0ms (0.2%)

rewrite78.0ms (2.1%)

simplify68.0ms (1.8%)

localize11.0ms (0.3%)

eval111.0ms (3%)

prune60.0ms (1.6%)

localize6.0ms (0.2%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite49.0ms (1.3%)

simplify7.0ms (0.2%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite57.0ms (1.5%)

simplify11.0ms (0.3%)

localize16.0ms (0.4%)

series12.0ms (0.3%)

rewrite120.0ms (3.2%)

simplify107.0ms (2.8%)

eval110.0ms (2.9%)

prune79.0ms (2.1%)

regimes44.0ms (1.2%)

regimes153.0ms (4.1%)

bsearch160.0ms (4.3%)

regimes114.0ms (3%)

bsearch106.0ms (2.8%)

regimes27.0ms (0.7%)

simplify9.0ms (0.2%)

soundness11.0ms (0.3%)

end56.0ms (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

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