Details

analyze62.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
59%	56.2%	39%	0.1%	4.7%	0%	0%	8
69.6%	62.4%	27.3%	0.1%	10.1%	0%	0%	9
74.7%	65.6%	22.2%	0.1%	12.1%	0%	0%	10
82.4%	68.7%	14.6%	0.1%	16.6%	0%	0%	11
85.6%	70.2%	11.8%	0.1%	17.9%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample829.0ms (16.7%)

Results

740.0ms	8256×	body	256	valid
74.0ms	781×	body	256	infinite

Bogosity

preprocess45.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

2×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	11	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% 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

9.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.9b	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.7b	(/.f64 x (*.f64 y y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`pow1_binary64`
529×	`add-log-exp_binary64`
529×	`log1p-expm1-u_binary64`
529×	`expm1-log1p-u_binary64`
515×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1449	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

Outputs

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

simplify217.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	224	168
6	834	168
7	2043	168
8	2209	168
9	2393	168
10	2601	168
11	2898	168
12	3291	168
13	3772	168
14	4340	168
15	5028	168
16	5863	168
17	6255	168
18	6543	168
19	6819	168
20	6891	168
21	6927	168

Stop Event

1×	node limit

Counts

55 → 33

Calls

Call 1

Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))

Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))

eval6.0ms (0.1%)

Compiler: Compiled 294 to 126 computations (57.1% saved)

prune33.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	25	8	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	9	34

Error

0.0b

Counts

34 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.8b	(sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))
▶	10.1b	(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 y))))
	30.5b	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
	10.5b	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)
✓	9.9b	(/.f64 x (*.f64 y y))
▶	0.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))
▶	0.3b	(*.f64 (/.f64 x y) (/.f64 1 y))
	9.5b	(*.f64 (pow.f64 y -2) x)
▶	10.2b	(pow.f64 (/.f64 (*.f64 y y) x) -1)

Compiler

Compiled 161 to 110 computations (31.7% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 x y) (/.f64 1 y))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`pow1_binary64`
665×	`add-log-exp_binary64`
665×	`log1p-expm1-u_binary64`
665×	`expm1-log1p-u_binary64`
651×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	146	7
2	1924	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

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

Outputs

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

simplify165.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	224	168
6	834	168
7	2043	168
8	2209	168
9	2393	168
10	2601	168
11	2898	168
12	3291	168
13	3772	168
14	4340	168
15	5028	168
16	5863	168
17	6255	168
18	6543	168
19	6819	168
20	6891	168
21	6927	168

Stop Event

1×	node limit

Counts

66 → 43

Calls

Call 1

Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))

Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (*.f64 y (neg.f64 y)))
✓	9.3b	(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 y))))

Compiler

Compiled 28 to 11 computations (60.7% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`pow1_binary64`
586×	`add-log-exp_binary64`
586×	`log1p-expm1-u_binary64`
586×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	187	14
2	2603	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify193.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
648×	`associate-/l/_binary64`
560×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	13	252
2	24	252
3	43	252
4	97	252
5	299	252
6	1102	252
7	1947	252
8	2111	252
9	2295	252
10	2503	252
11	2800	252
12	3681	252
13	4164	252
14	4732	252
15	5418	252
16	6253	252
17	6647	252
18	6937	252
19	7215	252
20	7291	252
21	7327	252

Stop Event

1×	node limit

Counts

82 → 49

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(pow.f64 (/.f64 (*.f64 y y) x) -1)
✓	9.2b	(/.f64 (*.f64 y y) x)

Compiler

Compiled 20 to 7 computations (65% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`pow1_binary64`
667×	`add-log-exp_binary64`
667×	`log1p-expm1-u_binary64`
667×	`expm1-log1p-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	147	14
2	1882	14

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify150.0ms (3%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
436×	`cube-prod_binary64`
434×	`unswap-sqr_binary64`
423×	`*-commutative_binary64`
423×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	336
1	12	336
2	22	336
3	40	336
4	91	336
5	286	336
6	1137	336
7	3130	336
8	3932	336
9	4117	336
10	4333	336
11	4674	336
12	5101	336
13	5580	336
14	6229	336
15	6918	336
16	7753	336

Stop Event

1×	node limit

Counts

121 → 76

Calls

Call 1

Inputs
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))

Outputs
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	19.6b	(/.f64 (*.f64 x x) (pow.f64 y 4))
✓	22.2b	(sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))

Compiler

Compiled 26 to 13 computations (50% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (*.f64 x x) (pow.f64 y 4))
1.0ms	y	@	0	(/.f64 (*.f64 x x) (pow.f64 y 4))
1.0ms	x	@	inf	(/.f64 (*.f64 x x) (pow.f64 y 4))
0.0ms	y	@	inf	(/.f64 (*.f64 x x) (pow.f64 y 4))
0.0ms	x	@	0	(sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))

rewrite66.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
742×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	172	17
2	2129	17

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))
(/.f64 (*.f64 x x) (pow.f64 y 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 (pow.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (pow.f64 y -4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 8)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 8))) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (pow.f64 y 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (pow.f64 y 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (*.f64 x x))) (sqrt.f64 (neg.f64 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (pow.f64 y -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 y y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (pow.f64 y -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (pow.f64 y 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (pow.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (pow.f64 y -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (pow.f64 y -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 8))) (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 y 4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 y 8))) (/.f64 x (cbrt.f64 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 8))) (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 y 8))) (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 y y)) (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4))))) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (pow.f64 y -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (pow.f64 y -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (pow.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (pow.f64 y -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 y 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (pow.f64 y -4)))))))))

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

775×	`fma-def_binary64`
651×	`associate-/r*_binary64`
461×	`associate-/l/_binary64`
447×	`associate-*l/_binary64`
413×	`associate-l_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	416
1	26	416
2	57	416
3	173	416
4	990	416
5	5337	392
6	5966	392
7	7036	392

Stop Event

1×	node limit

Counts

115 → 72

Calls

Call 1

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

Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cbrt.f64 x) y)
✓	0.2b	(/.f64 (pow.f64 (cbrt.f64 x) 2) y)
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 32 to 14 computations (56.3% saved)

series17.0ms (0.3%)

Counts

4 → 24

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (pow.f64 (cbrt.f64 x) 2) y)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)
2.0ms	y	@	0	(/.f64 (cbrt.f64 x) y)
2.0ms	x	@	0	(/.f64 (pow.f64 (cbrt.f64 x) 2) y)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)

rewrite78.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`pow1_binary64`
744×	`add-log-exp_binary64`
744×	`log1p-expm1-u_binary64`
744×	`expm1-log1p-u_binary64`
726×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	170	24
2	2092	24

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(/.f64 (pow.f64 (cbrt.f64 x) 2) y)
(/.f64 (cbrt.f64 x) y)

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

simplify112.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

658×	`unswap-sqr_binary64`
559×	`sqr-pow_binary64`
534×	`associate-/r/_binary64`
480×	`associate-/l/_binary64`
422×	`associate-*l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	252
1	39	180
2	73	180
3	155	180
4	388	180
5	1249	180
6	2496	180
7	4163	180
8	4368	180
9	4688	180
10	5095	180
11	5719	180
12	7612	180

Stop Event

1×	node limit

Counts

122 → 102

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))

Outputs
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 y))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 y))
(/.f64 (cbrt.f64 (*.f64 x x)) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) y)

eval95.0ms (1.9%)

Compiler: Compiled 4200 to 1956 computations (53.4% saved)

prune139.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	356	6	362
Fresh	3	0	3
Picked	1	0	1
Done	3	2	5
Total	363	8	371

Error

Counts

371 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (neg.f64 y))
▶	0.2b	(/.f64 (/.f64 1 y) (/.f64 y x))
✓	9.9b	(/.f64 x (*.f64 y y))
	1.7b	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 x y))) 3) -1)
▶	1.0b	(/.f64 1 (*.f64 (/.f64 y x) y))
✓	0.3b	(*.f64 (/.f64 x y) (/.f64 1 y))
▶	0.2b	(/.f64 (/.f64 x y) y)
▶	40.0b	(sqrt.f64 (.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))))

Compiler

Compiled 144 to 94 computations (34.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

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)

rewrite106.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`pow1_binary64`
595×	`add-log-exp_binary64`
595×	`log1p-expm1-u_binary64`
595×	`expm1-log1p-u_binary64`
582×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1585	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify243.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	224	168
6	834	168
7	2043	168
8	2209	168
9	2393	168
10	2601	168
11	2898	168
12	3291	168
13	3772	168
14	4340	168
15	5028	168
16	5863	168
17	6255	168
18	6543	168
19	6819	168
20	6891	168
21	6927	168

Stop Event

1×	node limit

Counts

60 → 38

Calls

Call 1

Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))

Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 y x) y)
✓	0.9b	(/.f64 1 (*.f64 (/.f64 y x) y))

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite161.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`pow1_binary64`
677×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
661×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	146	14
2	1922	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

simplify137.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
436×	`cube-prod_binary64`
434×	`unswap-sqr_binary64`
423×	`associate-*r/_binary64`
423×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	336
1	12	336
2	22	336
3	40	336
4	91	336
5	283	336
6	1133	336
7	3128	336
8	3930	336
9	4115	336
10	4331	336
11	4671	336
12	5096	336
13	5577	336
14	6228	336
15	6919	336
16	7752	336

Stop Event

1×	node limit

Counts

100 → 56

Calls

Call 1

Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)

Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`pow1_binary64`
753×	`add-log-exp_binary64`
753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
734×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	152	7
2	2156	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify165.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	224	168
6	834	168
7	2043	168
8	2209	168
9	2393	168
10	2601	168
11	2898	168
12	3291	168
13	3772	168
14	4340	168
15	5028	168
16	5863	168
17	6255	168
18	6543	168
19	6819	168
20	6891	168
21	6927	168

Stop Event

1×	node limit

Counts

64 → 42

Calls

Call 1

Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))

Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))

localize25.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (neg.f64 y))
✓	0.3b	(*.f64 (/.f64 1 y) (neg.f64 x))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series11.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
686×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	189	11
2	2816	11

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-neg_binary64`
624×	`times-frac_binary64`
461×	`div-sub_binary64`
434×	`unswap-sqr_binary64`
376×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	312
1	18	312
2	32	312
3	59	312
4	133	312
5	409	312
6	1505	312
7	4233	312
8	4934	312
9	6486	312
10	7231	312

Stop Event

1×	node limit

Counts

116 → 72

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (*.f64 y y))
✓	5.8b	(.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y)))
✓	16.9b	(/.f64 (.f64 x x) (.f64 y y))
✓	22.2b	(sqrt.f64 (.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))))

Compiler

Compiled 50 to 15 computations (70% saved)

series8.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

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

rewrite118.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
383×	`pow-prod-down_binary64`
380×	`exp-prod_binary64`
244×	`pow2_binary64`
233×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	213	28
2	2916	28

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

Outputs
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y) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x y) 6) (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 y y) (pow.f64 (/.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 x y) -2) (.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 4) (.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 y y) (pow.f64 (/.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (pow.f64 y -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (log.f64 (/.f64 (/.f64 x y) y)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (/.f64 (/.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 (/.f64 x y) y))))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 (/.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 x x)) (pow.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (pow.f64 y -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 6) (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) (pow.f64 y -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) (pow.f64 y -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (/.f64 x y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 8))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (/.f64 x y) y) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (/.f64 (/.f64 x y) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (/.f64 (/.f64 x y) y))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 x y) y)) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 y -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 y -4)) (cbrt.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (cbrt.f64 y) y)) (cbrt.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (.f64 -2 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 y -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (.f64 2 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (.f64 y (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 y))) 2)) (cbrt.f64 (.f64 -2 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 y)))) (sqrt.f64 (.f64 -2 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -2 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -2 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 y -6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 y -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 y) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 y) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 y)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 y)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 -2 (log.f64 y)) 1) 1))))))

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-def_binary64`
714×	`associate-/r*_binary64`
630×	`associate-/l/_binary64`
465×	`associate-*l/_binary64`
460×	`associate-l_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	740
1	30	740
2	64	740
3	195	740
4	1111	740
5	5886	716
6	6504	716
7	7574	716

Stop Event

1×	node limit

Counts

316 → 240

Calls

Call 1

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

Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (/.f64 x (.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 (pow.f64 x 2) (pow.f64 y 4))
(/.f64 (*.f64 x x) (pow.f64 y 4))
(/.f64 x (/.f64 (pow.f64 y 4) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))

eval103.0ms (2.1%)

Compiler: Compiled 5297 to 2470 computations (53.4% saved)

prune71.0ms (1.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	446	2	448
Fresh	1	0	1
Picked	1	0	1
Done	0	6	6
Total	448	8	456

Error

Counts

456 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3))
✓	0.3b	(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (neg.f64 y))
✓	0.2b	(/.f64 (/.f64 1 y) (/.f64 y x))
✓	9.9b	(/.f64 x (*.f64 y y))
✓	1.0b	(/.f64 1 (*.f64 (/.f64 y x) y))
▶	33.6b	(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y (/.f64 x y)) y)))
✓	0.3b	(*.f64 (/.f64 x y) (/.f64 1 y))
✓	0.2b	(/.f64 (/.f64 x y) y)

Compiler

Compiled 78 to 50 computations (35.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 y (/.f64 x y)) y)
✓	0.2b	(/.f64 y (/.f64 x y))
✓	1.2b	(/.f64 (/.f64 x y) (*.f64 (/.f64 y (/.f64 x y)) y))
✓	22.2b	(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y (/.f64 x y)) y)))

Compiler

Compiled 42 to 7 computations (83.3% saved)

series9.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite103.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`log-prod_binary64`
429×	`exp-prod_binary64`
367×	`pow-prod-down_binary64`
267×	`pow-unpow_binary64`
234×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	51
1	181	34
2	2875	34

Stop Event

1×	node limit

Counts

4 → 240

Calls

Call 1

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

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

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

694×	`associate-l_binary64`
623×	`associate-/l/_binary64`
607×	`associate-*l/_binary64`
594×	`associate-r_binary64`
502×	`associate-/r/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	752
1	37	752
2	76	752
3	225	752
4	1346	752
5	6792	728
6	7542	728

Stop Event

1×	node limit

Counts

336 → 247

Calls

Call 1

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

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

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y (/.f64 y x))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3)
✓	0.9b	(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3))
✓	18.9b	(cbrt.f64 (*.f64 y (/.f64 y x)))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series22.0ms (0.4%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(cbrt.f64 (*.f64 y (/.f64 y x)))
3.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3)
3.0ms	x	@	-inf	(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3)

rewrite88.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
851×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	218	30
2	2413	30

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 y (/.f64 y x)))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3)
(*.f64 y (/.f64 y x))

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

simplify137.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
436×	`cube-prod_binary64`
434×	`unswap-sqr_binary64`
423×	`associate-*r/_binary64`
423×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	336
1	12	336
2	22	336
3	40	336
4	91	336
5	283	336
6	1133	336
7	3128	336
8	3930	336
9	4115	336
10	4331	336
11	4671	336
12	5096	336
13	5577	336
14	6228	336
15	6919	336
16	7752	336

Stop Event

1×	node limit

Counts

180 → 110

Calls

Call 1

Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)

Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))

eval76.0ms (1.5%)

Compiler: Compiled 4824 to 1835 computations (62% saved)

prune55.0ms (1.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	356	1	357
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	357	8	365

Error

Counts

365 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) -3)
✓	0.2b	(/.f64 (/.f64 x y) y)
✓	0.3b	(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (neg.f64 y))
✓	0.2b	(/.f64 (/.f64 1 y) (/.f64 y x))
✓	9.9b	(/.f64 x (*.f64 y y))
✓	1.0b	(/.f64 1 (*.f64 (/.f64 y x) y))
✓	33.6b	(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y (/.f64 x y)) y)))
✓	0.3b	(*.f64 (/.f64 x y) (/.f64 1 y))

Compiler

Compiled 76 to 48 computations (36.8% saved)

regimes55.0ms (1.1%)

Accuracy

Total -50.0b remaining (-26663%)

Threshold costs -50.0b (-26663%)

Counts

18 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 1 y) (/.f64 y x))
(/.f64 1 (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (neg.f64 y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 y))))
(*.f64 (pow.f64 y -2) x)
(pow.f64 (/.f64 (*.f64 y y) x) -1)
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y (/.f64 x y)) y)))
(sqrt.f64 (.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))))
(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) -3)
(sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 x y))) 3) -1)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))

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

Calls

6 calls:

10.0ms	(*.f64 y y)
9.0ms	x
9.0ms	y
8.0ms	(*.f64 y y)
7.0ms	(/.f64 x (*.f64 y y))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(/.f64 x (*.f64 y y))`
0.2b	1	`(/.f64 x (*.f64 y y))`
0.2b	1	`(*.f64 y y)`
0.2b	1	`(*.f64 y y)`

Compiler

Compiled 180 to 90 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

soundness157.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
436×	`cube-prod_binary64`
434×	`unswap-sqr_binary64`
423×	`*-commutative_binary64`
423×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	336
1	12	336
2	22	336
3	40	336
4	91	336
5	286	336
6	1137	336
7	3130	336
8	3932	336
9	4117	336
10	4333	336
11	4674	336
12	5101	336
13	5580	336
14	6229	336
15	6918	336
16	7753	336

Stop Event

1×	node limit

Compiler

Compiled 21 to 13 computations (38.1% saved)

end13.0ms (0.3%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

Details

analyze62.0ms (1.3%)

sample829.0ms (16.7%)

preprocess45.0ms (0.9%)

simplify25.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series7.0ms (0.1%)

rewrite55.0ms (1.1%)

simplify217.0ms (4.4%)

eval6.0ms (0.1%)

prune33.0ms (0.7%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (1.2%)

simplify165.0ms (3.3%)

localize11.0ms (0.2%)

series3.0ms (0.1%)

rewrite57.0ms (1.1%)

simplify193.0ms (3.9%)

localize14.0ms (0.3%)

series12.0ms (0.2%)

rewrite78.0ms (1.6%)

simplify150.0ms (3%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite66.0ms (1.3%)

simplify73.0ms (1.5%)

localize15.0ms (0.3%)

series17.0ms (0.3%)

rewrite78.0ms (1.6%)

simplify112.0ms (2.3%)

eval95.0ms (1.9%)

prune139.0ms (2.8%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite106.0ms (2.1%)

simplify243.0ms (4.9%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite161.0ms (3.2%)

simplify137.0ms (2.8%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (1.2%)

simplify165.0ms (3.3%)

localize25.0ms (0.5%)

series11.0ms (0.2%)

rewrite66.0ms (1.3%)

simplify88.0ms (1.8%)

localize15.0ms (0.3%)

series8.0ms (0.2%)

rewrite118.0ms (2.4%)

simplify90.0ms (1.8%)

eval103.0ms (2.1%)

prune71.0ms (1.4%)

localize13.0ms (0.3%)

series9.0ms (0.2%)

rewrite103.0ms (2.1%)

simplify84.0ms (1.7%)

localize19.0ms (0.4%)

series22.0ms (0.4%)

rewrite88.0ms (1.8%)

simplify137.0ms (2.8%)

eval76.0ms (1.5%)

prune55.0ms (1.1%)

regimes55.0ms (1.1%)

simplify4.0ms (0.1%)

soundness157.0ms (3.2%)

end13.0ms (0.3%)

Profiling