Details

analyze165.0ms (3.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	39%	4.8%	8
62.4%	27.3%	10.2%	9
65.6%	22.2%	12.2%	10
68.7%	14.6%	16.7%	11
70.2%	11.8%	18%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.3s (28.8%)

Results

1.2s	8256×	body	256	valid
70.0ms	733×	body	256	invalid

preprocess17.0ms (0.4%)

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)

simplify12.0ms (0.3%)

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

9.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.0b	(/.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
✓	8.8b	(/.f64 x (*.f64 y y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (1.4%)

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))))))))

simplify169.0ms (3.8%)

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))

eval9.0ms (0.2%)

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

prune10.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	26	7	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	8	34

Error

0.0b

Counts

34 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.7b	(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))
▶	0.2b	(*.f64 (/.f64 x y) (/.f64 1 y))
	9.5b	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)
✓	9.0b	(/.f64 x (*.f64 y y))
▶	23.8b	(-.f64 (+.f64 1 (/.f64 x (*.f64 y y))) 1)
	0.8b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))
▶	8.3b	(*.f64 (pow.f64 y -2) x)
▶	33.2b	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)

Compiler

Compiled 143 to 98 computations (31.5% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.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	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))
0.0ms	y	@	-inf	(*.f64 (/.f64 x y) (/.f64 1 y))

rewrite54.0ms (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))))))))

simplify167.0ms (3.7%)

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))

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 x (*.f64 y y)))
✓	2.0b	(-.f64 (+.f64 1 (/.f64 x (*.f64 y y))) 1)
	8.8b	(/.f64 x (*.f64 y y))

Compiler

Compiled 29 to 11 computations (62.1% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`pow1_binary64`
891×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	182	15
2	2681	15

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

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

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

simplify191.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1122×	`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	8	372
1	15	372
2	22	372
3	37	372
4	77	372
5	226	372
6	827	372
7	2036	372
8	2202	372
9	2386	372
10	2594	372
11	2891	372
12	3282	372
13	3765	372
14	4331	372
15	5021	372
16	5856	372
17	6252	372
18	6540	372
19	6816	372
20	6886	372
21	6922	372

Stop Event

1×	node limit

Counts

152 → 108

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.0b	(*.f64 (pow.f64 y -2) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 (pow.f64 y -2) x)
0.0ms	y	@	0	(*.f64 (pow.f64 y -2) x)
0.0ms	y	@	inf	(*.f64 (pow.f64 y -2) x)
0.0ms	x	@	-inf	(*.f64 (pow.f64 y -2) x)
0.0ms	x	@	inf	(*.f64 (pow.f64 y -2) x)

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`pow1_binary64`
528×	`add-sqr-sqrt_binary64`
505×	`add-log-exp_binary64`
504×	`log1p-expm1-u_binary64`
504×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1406	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify170.0ms (3.8%)

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

35 → 13

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))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 x) y)
✓	0.2b	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)

Compiler

Compiled 17 to 7 computations (58.8% saved)

series13.0ms (0.3%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
2.0ms	x	@	-inf	(/.f64 (sqrt.f64 x) y)
2.0ms	x	@	0	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
1.0ms	y	@	0	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
1.0ms	x	@	inf	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)

rewrite81.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`pow1_binary64`
621×	`add-log-exp_binary64`
621×	`log1p-expm1-u_binary64`
621×	`expm1-log1p-u_binary64`
605×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	148	13
2	1743	13

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

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

simplify149.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

782×	`sqr-pow_binary64`
521×	`cube-prod_binary64`
445×	`fabs-mul_binary64`
440×	`unswap-sqr_binary64`
374×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	192
1	19	156
2	31	156
3	68	156
4	152	156
5	495	156
6	2412	156
7	3536	156
8	3803	156
9	4075	156
10	4360	156
11	4739	156
12	5222	156
13	5820	156
14	6530	156
15	7409	156
16	7870	156

Stop Event

1×	node limit

Counts

92 → 70

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

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 x (*.f64 y y)) 3)
	8.8b	(/.f64 x (*.f64 y y))
✓	27.0b	(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))

Compiler

Compiled 28 to 10 computations (64.3% saved)

series16.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(pow.f64 (/.f64 x (*.f64 y y)) 3)
4.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))
1.0ms	x	@	-inf	(pow.f64 (/.f64 x (*.f64 y y)) 3)
1.0ms	y	@	0	(pow.f64 (/.f64 x (*.f64 y y)) 3)
1.0ms	x	@	inf	(pow.f64 (/.f64 x (*.f64 y y)) 3)

rewrite84.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`pow1_binary64`
713×	`add-log-exp_binary64`
713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2032	17

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

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

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

simplify130.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1021×	`fma-def_binary64`
722×	`associate-/r/_binary64`
408×	`div-sub_binary64`
402×	`times-frac_binary64`
376×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	436
1	38	436
2	100	436
3	343	436
4	2200	436
5	3837	436
6	4278	436
7	4826	436
8	5373	436
9	7202	436

Stop Event

1×	node limit

Counts

134 → 89

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 (.f64 (cbrt.f64 -1) x) (pow.f64 y 2)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (pow.f64 y 2)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (pow.f64 y 2)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) 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 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))

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 (.f64 (cbrt.f64 -1) x) (pow.f64 y 2)))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (.f64 x (cbrt.f64 -1))) (.f64 y y))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (/.f64 x y)))
(.f64 x (/.f64 (neg.f64 (cbrt.f64 -1)) (.f64 y y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (pow.f64 y 2)))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (.f64 x (cbrt.f64 -1))) (.f64 y y))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (/.f64 x y)))
(.f64 x (/.f64 (neg.f64 (cbrt.f64 -1)) (.f64 y y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (pow.f64 y 2)))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (.f64 x (cbrt.f64 -1))) (.f64 y y))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (/.f64 x y)))
(.f64 x (/.f64 (neg.f64 (cbrt.f64 -1)) (.f64 y y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (pow.f64 y 2)))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (.f64 x (cbrt.f64 -1))) (.f64 y y))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (/.f64 x y)))
(.f64 x (/.f64 (neg.f64 (cbrt.f64 -1)) (.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 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))

eval154.0ms (3.5%)

Compiler: Compiled 4386 to 2278 computations (48.1% saved)

prune111.0ms (2.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	384	5	389
Fresh	2	0	2
Picked	1	0	1
Done	2	3	5
Total	389	8	397

Error

Counts

397 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (/.f64 1 y) (/.f64 y x))
✓	9.0b	(/.f64 x (*.f64 y y))
▶	0.2b	(/.f64 (/.f64 x y) y)
▶	0.8b	(/.f64 1 (*.f64 (/.f64 y x) y))
✓	33.2b	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
▶	29.0b	(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 1 y))
▶	39.4b	(-.f64 1 1)

Compiler

Compiled 110 to 70 computations (36.4% saved)

localize10.0ms (0.2%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite65.0ms (1.5%)

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))))))))

simplify168.0ms (3.8%)

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))

localize3.0ms (0.1%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 y x) y)
✓	0.7b	(/.f64 1 (*.f64 (/.f64 y x) y))

Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (1.3%)

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))))))))

simplify133.0ms (3%)

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))

localize8.0ms (0.2%)

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	@	inf	(/.f64 (/.f64 1 y) (/.f64 y x))

rewrite56.0ms (1.3%)

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))))))))

simplify168.0ms (3.8%)

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))

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sqrt.f64 (/.f64 x y)))
✓	0.2b	(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
✓	9.8b	(sqrt.f64 (/.f64 x y))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series14.0ms (0.3%)

Counts

3 → 24

Calls

18 calls:

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

rewrite76.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
837×	`add-log-exp_binary64`
837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	156	22
2	2288	22

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

594×	`associate-/r/_binary64`
588×	`div-sub_binary64`
577×	`distribute-rgt-neg-in_binary64`
449×	`distribute-lft-neg-in_binary64`
347×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	168
1	27	168
2	78	168
3	244	168
4	1597	168
5	3881	168
6	7081	168

Stop Event

1×	node limit

Counts

123 → 102

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

eval48.0ms (1.1%)

Compiler: Compiled 3194 to 1128 computations (64.7% saved)

prune40.0ms (0.9%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	265	1	266
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	266	8	274

Error

Counts

274 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 1 y) (/.f64 y x))
✓	9.0b	(/.f64 x (*.f64 y y))
✓	0.2b	(/.f64 (/.f64 x y) y)
✓	0.8b	(/.f64 1 (*.f64 (/.f64 y x) y))
▶	31.3b	(sqrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2))
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 1 y))
✓	39.4b	(-.f64 1 1)
✓	33.2b	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)

Compiler

Compiled 64 to 44 computations (31.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 y (/.f64 y x)) -2)
✓	0.2b	(*.f64 y (/.f64 y x))
✓	20.0b	(sqrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2))

Compiler

Compiled 28 to 10 computations (64.3% saved)

series12.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow.f64 (*.f64 y (/.f64 y x)) -2)
1.0ms	y	@	0	(sqrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2))
1.0ms	y	@	0	(pow.f64 (*.f64 y (/.f64 y x)) -2)
1.0ms	x	@	inf	(pow.f64 (*.f64 y (/.f64 y x)) -2)
1.0ms	x	@	0	(pow.f64 (*.f64 y (/.f64 y x)) -2)

rewrite70.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`pow1_binary64`
796×	`add-log-exp_binary64`
795×	`log1p-expm1-u_binary64`
795×	`expm1-log1p-u_binary64`
775×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	174	27
2	2172	27

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary64`
651×	`associate-/r*_binary64`
460×	`associate-/l/_binary64`
447×	`associate-*l/_binary64`
406×	`associate-l_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	584
1	27	584
2	58	584
3	175	584
4	1001	584
5	5302	560
6	5932	560
7	7000	560

Stop Event

1×	node limit

Counts

142 → 78

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 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 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 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 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.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))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.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 (pow.f64 y 4) x))
(*.f64 x (/.f64 x (pow.f64 y 4)))
(pow.f64 (/.f64 (sqrt.f64 x) y) 4)

eval19.0ms (0.4%)

Compiler: Compiled 903 to 444 computations (50.8% saved)

prune13.0ms (0.3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	78	8	86

Error

Counts

86 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 1 y) (/.f64 y x))
✓	9.0b	(/.f64 x (*.f64 y y))
✓	0.2b	(/.f64 (/.f64 x y) y)
✓	0.8b	(/.f64 1 (*.f64 (/.f64 y x) y))
✓	31.3b	(sqrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2))
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 1 y))
✓	39.4b	(-.f64 1 1)
✓	33.2b	(pow.f64 (/.f64 (sqrt.f64 x) y) 2)

Compiler

Compiled 64 to 44 computations (31.3% saved)

regimes47.0ms (1%)

Accuracy

Total -55.7b remaining (-32430.8%)

Threshold costs -55.7b (-32430.8%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	x
8.0ms	y
8.0ms	(*.f64 y y)
7.0ms	(*.f64 y y)
6.0ms	(/.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 132 to 67 computations (49.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	9	8

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (/.f64 x y) y)
(-.f64 1 1)
0

Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end16.0ms (0.4%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

Details

analyze165.0ms (3.7%)

sample1.3s (28.8%)

preprocess17.0ms (0.4%)

simplify12.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite60.0ms (1.4%)

simplify169.0ms (3.8%)

eval9.0ms (0.2%)

prune10.0ms (0.2%)

localize12.0ms (0.3%)

series2.0ms (0%)

rewrite54.0ms (1.2%)

simplify167.0ms (3.7%)

localize12.0ms (0.3%)

series4.0ms (0.1%)

rewrite68.0ms (1.5%)

simplify191.0ms (4.3%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite48.0ms (1.1%)

simplify170.0ms (3.8%)

localize8.0ms (0.2%)

series13.0ms (0.3%)

rewrite81.0ms (1.8%)

simplify149.0ms (3.3%)

localize20.0ms (0.5%)

series16.0ms (0.4%)

rewrite84.0ms (1.9%)

simplify130.0ms (2.9%)

eval154.0ms (3.5%)

prune111.0ms (2.5%)

localize10.0ms (0.2%)

series3.0ms (0.1%)

rewrite65.0ms (1.5%)

simplify168.0ms (3.8%)

localize3.0ms (0.1%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite58.0ms (1.3%)

simplify133.0ms (3%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite56.0ms (1.3%)

simplify168.0ms (3.8%)

localize8.0ms (0.2%)

series14.0ms (0.3%)

rewrite76.0ms (1.7%)

simplify71.0ms (1.6%)

eval48.0ms (1.1%)

prune40.0ms (0.9%)

localize11.0ms (0.2%)

series12.0ms (0.3%)

rewrite70.0ms (1.6%)

simplify81.0ms (1.8%)

eval19.0ms (0.4%)

prune13.0ms (0.3%)

regimes47.0ms (1%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end16.0ms (0.4%)

Profiling