Details

analyze90.0ms (2.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
40.6%	59.3%	0.1%	7
45.3%	53.1%	1.7%	8
63.2%	33.6%	3.2%	9
66%	28.9%	5.2%	10
75.1%	17.8%	7.1%	11
76.6%	15%	8.4%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample795.0ms (25.4%)

Results

747.0ms	8256×	body	256	valid
35.0ms	386×	body	256	invalid

preprocess24.0ms (0.8%)

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)

simplify14.0ms (0.5%)

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)

localize8.0ms (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)

series5.0ms (0.2%)

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	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))

rewrite51.0ms (1.6%)

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)))))))

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

46 → 41

Calls

Call 1

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

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

eval7.0ms (0.2%)

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

prune8.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Error

0.0b

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.3b	(-.f64 (/.f64 x y) (/.f64 y y))
▶	0.0b	(fabs.f64 (/.f64 (-.f64 y x) y))
▶	49.4b	(*.f64 (/.f64 1 y) (-.f64 x y))
▶	49.3b	(*.f64 (/.f64 (-.f64 x y) y) 1)

Compiler

Compiled 35 to 22 computations (37.1% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 5 computations (72.2% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify25.0ms (0.8%)

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))

localize14.0ms (0.5%)

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)

series6.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 (/.f64 1 y) (-.f64 x y))
1.0ms	y	@	inf	(*.f64 (/.f64 1 y) (-.f64 x y))
1.0ms	x	@	inf	(*.f64 (/.f64 1 y) (-.f64 x y))
1.0ms	x	@	0	(*.f64 (/.f64 1 y) (-.f64 x y))
1.0ms	x	@	-inf	(*.f64 (/.f64 1 y) (-.f64 x y))

rewrite61.0ms (1.9%)

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)))))))

simplify13.0ms (0.4%)

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)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	118	7
2	1882	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.5%)

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

57 → 35

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)

localize7.0ms (0.2%)

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

eval26.0ms (0.8%)

Compiler: Compiled 1253 to 622 computations (50.4% saved)

prune23.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	112	7	119

Error

Counts

119 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.5b	(/.f64 (.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 y x))
	37.4b	(fabs.f64 (/.f64 (neg.f64 x) y))
	63.1b	-1
▶	49.3b	(-.f64 (/.f64 x y) 1)
▶	49.2b	(/.f64 x y)
▶	24.8b	(fabs.f64 1)
▶	0b	(fabs.f64 (-.f64 1 (/.f64 x y)))

Compiler

Compiled 99 to 69 computations (30.3% saved)

localize7.0ms (0.2%)

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

localize3.0ms (0.1%)

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

localize5.0ms (0.2%)

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

localize19.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.5b	(-.f64 (.f64 x x) (.f64 y y))
✓	9.1b	(/.f64 (.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 y x))
✓	23.0b	(.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 50 to 16 computations (68% saved)

series13.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/.f64 (.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 y x))
1.0ms	y	@	0	(.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y)))
1.0ms	y	@	inf	(.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y)))
1.0ms	y	@	inf	(/.f64 (.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 y x))
1.0ms	x	@	0	(.f64 (/.f64 1 y) (-.f64 (.f64 x x) (*.f64 y y)))

rewrite106.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 325

Calls

Call 1

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

Outputs

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

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

397 → 341

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

eval93.0ms (3%)

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

prune51.0ms (1.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	336	5	341
Fresh	1	1	2
Picked	0	1	1
Done	1	3	4
Total	338	10	348

Error

Counts

348 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	63.1b	(/.f64 (.f64 (/.f64 1 y) (.f64 y (neg.f64 y))) (+.f64 y x))
✓	0b	(fabs.f64 (-.f64 1 (/.f64 x y)))
	63.1b	-1
▶	37.4b	(fabs.f64 (/.f64 (neg.f64 x) y))
▶	62.7b	(/.f64 (neg.f64 y) (+.f64 y x))
▶	54.1b	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x))
▶	57.6b	(/.f64 (.f64 (/.f64 1 y) (.f64 x x)) (+.f64 y x))
✓	49.3b	(-.f64 (/.f64 x y) 1)
✓	49.2b	(/.f64 x y)
✓	24.8b	(fabs.f64 1)

Compiler

Compiled 133 to 87 computations (34.6% saved)

localize7.0ms (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
✓	0.0b	(/.f64 (neg.f64 y) (+.f64 y x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 53

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 x y))
✓	11.1b	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x))

Compiler

Compiled 24 to 6 computations (75% saved)

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

135 → 104

Calls

Call 1

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

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

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	8.3b	(.f64 (/.f64 1 y) (.f64 x x))
✓	11.1b	(/.f64 (.f64 (/.f64 1 y) (.f64 x x)) (+.f64 y x))

Compiler

Compiled 32 to 14 computations (56.3% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite87.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

133 → 102

Calls

Call 1

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

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

localize26.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (/.f64 1 y) (.f64 y (neg.f64 y))) (+.f64 y x))
✓	28.2b	(.f64 (/.f64 1 y) (.f64 y (neg.f64 y)))

Compiler

Compiled 37 to 15 computations (59.5% saved)

series6.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

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

rewrite87.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

113 → 93

Calls

Call 1

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

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

eval132.0ms (4.2%)

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

prune65.0ms (2.1%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	343	9	352
Fresh	1	0	1
Picked	0	1	1
Done	2	6	8
Total	346	16	362

Error

Counts

362 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	44.9b	(.f64 (/.f64 (/.f64 1 y) (+.f64 y x)) (.f64 y y))
	62.0b	(/.f64 x (/.f64 (*.f64 y y) x))
	62.0b	(.f64 x (/.f64 x (.f64 y y)))
✓	62.7b	(/.f64 (neg.f64 y) (+.f64 y x))
	63.1b	-1
	25.0b	(-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1)
✓	49.2b	(/.f64 x y)
✓	63.1b	(/.f64 (.f64 (/.f64 1 y) (.f64 y (neg.f64 y))) (+.f64 y x))
	24.8b	(/.f64 (/.f64 y 1) (+.f64 y x))
✓	0b	(fabs.f64 (-.f64 1 (/.f64 x y)))
	62.3b	(/.f64 (neg.f64 y) x)
	24.9b	(*.f64 (/.f64 1 (+.f64 y x)) y)
	25.8b	(*.f64 y (/.f64 1 (-.f64 y x)))
✓	49.3b	(-.f64 (/.f64 x y) 1)
✓	24.8b	(fabs.f64 1)
✓	37.4b	(fabs.f64 (/.f64 (neg.f64 x) y))

Compiler

Compiled 131 to 88 computations (32.8% saved)

regimes47.0ms (1.5%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	y
14.0ms	x
7.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
5.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

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

Compiler

Compiled 196 to 91 computations (53.6% saved)

regimes138.0ms (4.4%)

Counts

23 → 5

Calls

Call 1

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

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

Calls

2 calls:

76.0ms	x
56.0ms	y

Results

Error	Segments	Branch
14.4b	5	`x`
13.7b	5	`y`

Compiler

Compiled 159 to 71 computations (55.3% saved)

bsearch180.0ms (5.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	1.3238617763728684e-43	1.7097018876617437e-43
123.0ms	-1.2875722218317122e-84	-1.5650020662113247e-90
20.0ms	-1.4185718682919113e-46	-1.5256332743064438e-51
20.0ms	-14429.236554431247	-6622.964894762561

Compiler

Compiled 194 to 145 computations (25.3% saved)

regimes79.0ms (2.5%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	y
23.0ms	x

Results

Error	Segments	Branch
20.6b	2	`x`
20.8b	5	`y`

Compiler

Compiled 154 to 68 computations (55.8% saved)

bsearch30.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	-2.2665711722398398e+117	-1.7952431869481228e+117

Compiler

Compiled 68 to 49 computations (27.9% saved)

regimes16.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(/.f64 x y)

Calls

2 calls:

7.0ms	x
6.0ms	y

Results

Error	Segments	Branch
49.2b	1	`x`
49.2b	1	`y`

Compiler

Compiled 43 to 21 computations (51.2% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
-1
-1

Outputs
-1

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	95
1	53	91
2	68	91
3	77	91
4	81	91
5	82	91

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(if (<=.f64 y -7932556685763831/549755813888) (fabs.f64 1) (if (<=.f64 y -7294582731756243/51422017416287688817342786954917203280710495801049370729644032) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 y -14678391142336458/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) (if (<=.f64 y 6648012043105781/50216813883093446110686315385661331328818843555712276103168) (fabs.f64 (/.f64 (neg.f64 x) y)) (/.f64 (/.f64 y 1) (+.f64 y x))))))
(if (<=.f64 x -2250000000000000008761677593904253712133426417660931840843950635250826770511453055426781136916345678589306007675994112) (-.f64 (/.f64 x y) 1) (/.f64 (/.f64 y 1) (+.f64 y x)))
(/.f64 x y)
-1

Outputs
(fabs.f64 (-.f64 1 (/.f64 x y)))
(if (<=.f64 y -7932556685763831/549755813888) (fabs.f64 1) (if (<=.f64 y -7294582731756243/51422017416287688817342786954917203280710495801049370729644032) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 y -14678391142336458/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) (if (<=.f64 y 6648012043105781/50216813883093446110686315385661331328818843555712276103168) (fabs.f64 (/.f64 (neg.f64 x) y)) (/.f64 (/.f64 y 1) (+.f64 y x))))))
(if (<=.f64 y -7932556685763831/549755813888) 1 (if (<=.f64 y -7294582731756243/51422017416287688817342786954917203280710495801049370729644032) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 y -7339195571168229/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (+.f64 (+.f64 1 (/.f64 y (+.f64 x y))) -1) (if (<=.f64 y 6648012043105781/50216813883093446110686315385661331328818843555712276103168) (fabs.f64 (/.f64 (neg.f64 x) y)) (/.f64 y (+.f64 x y))))))
(if (<=.f64 y -7932556685763831/549755813888) 1 (if (<=.f64 y -7294582731756243/51422017416287688817342786954917203280710495801049370729644032) (fabs.f64 (/.f64 x y)) (if (<=.f64 y -7339195571168229/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (+.f64 (+.f64 1 (/.f64 y (+.f64 x y))) -1) (if (<=.f64 y 6648012043105781/50216813883093446110686315385661331328818843555712276103168) (fabs.f64 (/.f64 x y)) (/.f64 y (+.f64 x y))))))
(if (<=.f64 x -2250000000000000008761677593904253712133426417660931840843950635250826770511453055426781136916345678589306007675994112) (-.f64 (/.f64 x y) 1) (/.f64 (/.f64 y 1) (+.f64 y x)))
(if (<=.f64 x -2250000000000000008761677593904253712133426417660931840843950635250826770511453055426781136916345678589306007675994112) (+.f64 (/.f64 x y) -1) (/.f64 y (+.f64 x y)))
(/.f64 x y)
-1

Compiler

Compiled 73 to 45 computations (38.4% saved)

soundness12.0ms (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

Compiler

Compiled 24 to 18 computations (25% saved)

end40.0ms (1.3%)

Compiler: Compiled 65 to 32 computations (50.8% saved)

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

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

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

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

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

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

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

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

Details

analyze90.0ms (2.9%)

sample795.0ms (25.4%)

preprocess24.0ms (0.8%)

simplify14.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series5.0ms (0.2%)

rewrite51.0ms (1.6%)

simplify18.0ms (0.6%)

eval7.0ms (0.2%)

prune8.0ms (0.3%)

localize9.0ms (0.3%)

series4.0ms (0.1%)

rewrite67.0ms (2.1%)

simplify25.0ms (0.8%)

localize14.0ms (0.5%)

series6.0ms (0.2%)

rewrite61.0ms (1.9%)

simplify13.0ms (0.4%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite66.0ms (2.1%)

simplify15.0ms (0.5%)

localize7.0ms (0.2%)

eval26.0ms (0.8%)

prune23.0ms (0.7%)

localize7.0ms (0.2%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

localize19.0ms (0.6%)

series13.0ms (0.4%)

rewrite106.0ms (3.4%)

simplify56.0ms (1.8%)

localize3.0ms (0.1%)

eval93.0ms (3%)

prune51.0ms (1.6%)

localize7.0ms (0.2%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite53.0ms (1.7%)

simplify58.0ms (1.9%)

localize9.0ms (0.3%)

series6.0ms (0.2%)

rewrite64.0ms (2%)

simplify58.0ms (1.9%)

localize13.0ms (0.4%)

series4.0ms (0.1%)

rewrite87.0ms (2.8%)

simplify83.0ms (2.6%)

localize26.0ms (0.8%)

series6.0ms (0.2%)

rewrite87.0ms (2.8%)

simplify78.0ms (2.5%)

eval132.0ms (4.2%)

prune65.0ms (2.1%)

regimes47.0ms (1.5%)

regimes138.0ms (4.4%)

bsearch180.0ms (5.7%)

regimes79.0ms (2.5%)

bsearch30.0ms (1%)

regimes16.0ms (0.5%)

regimes8.0ms (0.3%)

simplify10.0ms (0.3%)

soundness12.0ms (0.4%)

end40.0ms (1.3%)

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