Details

analyze177.0ms (3.4%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.2s (24.3%)

Results

1.1s	8256×	body	256	valid
91.0ms	781×	body	256	infinite

Bogosity

preprocess30.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`associate-/r*_binary64`
2×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	20	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (/.f64 x (*.f64 y y)) 3)
(-.f64 (/.f64 y (*.f64 x x)) 3)

Outputs
(-.f64 (/.f64 x (*.f64 y y)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 y (*.f64 x x)) 3)
(+.f64 (/.f64 y (*.f64 x x)) -3)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`associate-/r*_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	13	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) 3)

Outputs
(-.f64 (/.f64 x (*.f64 y y)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

3.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series10.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (1.3%)

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))))))))

simplify178.0ms (3.5%)

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))

eval8.0ms (0.2%)

Compiler: Compiled 360 to 192 computations (46.7% saved)

prune9.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	6	34

Error

0.0b

Counts

34 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓	3.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)
▶	4.1b	(-.f64 (.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 y)))) 3)
▶	3.9b	(-.f64 (pow.f64 (/.f64 (*.f64 y y) x) -1) 3)
▶	30.3b	(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 2) 3)
▶	4.2b	(-.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3) 3)

Compiler

Compiled 123 to 92 computations (25.2% saved)

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (1%)

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))))))))

simplify168.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 43

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 17 computations (57.5% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite94.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify186.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

82 → 49

Calls

Call 1

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

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

localize110.0ms (2.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 12 computations (60% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite185.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify137.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

121 → 76

Calls

Call 1

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

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

localize9.0ms (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 26 to 12 computations (53.8% saved)

series12.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite61.0ms (1.2%)

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)))))))

simplify134.0ms (2.6%)

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)

localize36.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)
	9.7b	(/.f64 x (*.f64 y y))
✓	17.8b	(cbrt.f64 (/.f64 x (*.f64 y y)))

Compiler

Compiled 37 to 12 computations (67.6% saved)

series10.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (/.f64 x (*.f64 y y)))

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`pow1_binary64`
693×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
674×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	174	16
2	1949	16

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

78 → 78

Calls

Call 1

Inputs

Outputs

eval149.0ms (2.9%)

Compiler: Compiled 4258 to 2148 computations (49.6% saved)

prune104.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	345	4	349
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	349	6	355

Error

Counts

355 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓	3.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)
▶	0.5b	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 x y))) 3) -1) 3)
▶	0.1b	(-.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) 3)
▶	0.1b	(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
▶	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)

Compiler

Compiled 65 to 47 computations (27.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 12 computations (60% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify137.0ms (2.7%)

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))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% 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))

rewrite54.0ms (1%)

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))))))))

simplify167.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

64 → 42

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite89.0ms (1.7%)

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))))))))

simplify165.0ms (3.2%)

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))

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 19 computations (62% saved)

series16.0ms (0.3%)

Counts

4 → 24

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 x y))) 3) -1)
2.0ms	y	@	0	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 x y))) 3) -1)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 y (/.f64 x y))) 3)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 x y))) 3) -1)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 y (/.f64 x y))) 3)

rewrite145.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`pow1_binary64`
915×	`add-log-exp_binary64`
915×	`log1p-expm1-u_binary64`
915×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	224	30
2	2622	30

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

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

simplify119.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	37	168
4	83	168
5	266	168
6	1091	168
7	3478	168
8	4280	168
9	4465	168
10	4681	168
11	5028	168
12	5456	168
13	5935	168
14	6584	168
15	7273	168

Stop Event

1×	node limit

Counts

207 → 143

Calls

Call 1

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

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

eval107.0ms (2.1%)

Compiler: Compiled 3698 to 1891 computations (48.9% saved)

prune61.0ms (1.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	278	1	279
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	279	6	285

Error

Counts

285 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓	3.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)
✓	0.1b	(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
▶	0.5b	(-.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3)) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)

Compiler

Compiled 65 to 47 computations (27.7% saved)

localize35.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 19 computations (62% saved)

series28.0ms (0.5%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3))
3.0ms	x	@	inf	(cbrt.f64 (*.f64 y (/.f64 y x)))
1.0ms	x	@	0	(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3))
1.0ms	x	@	inf	(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3))
1.0ms	y	@	0	(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3))

rewrite118.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify225.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

180 → 110

Calls

Call 1

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

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

eval84.0ms (1.6%)

Compiler: Compiled 1575 to 800 computations (49.2% saved)

prune32.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	110	6	116

Error

Counts

116 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓	3.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	0.5b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) -3) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) 3)
✓	0.1b	(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)

Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes56.0ms (1.1%)

Accuracy

Total -32.4b remaining (-34563.3%)

Threshold costs -32.4b (-34563.3%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(-.f64 (/.f64 (/.f64 x y) y) 3)

Calls

7 calls:

11.0ms	(*.f64 y y)
9.0ms	(*.f64 y y)
8.0ms	x
7.0ms	y
5.0ms	(/.f64 x (*.f64 y y))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(-.f64 (/.f64 x (*.f64 y y)) 3)`
0.1b	1	`(/.f64 x (*.f64 y y))`
0.1b	1	`(/.f64 x (*.f64 y y))`
0.1b	1	`(*.f64 y y)`
0.1b	1	`(*.f64 y y)`

Compiler

Compiled 154 to 94 computations (39% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	11	10

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) 3)

Outputs
(-.f64 (/.f64 (/.f64 x y) y) 3)
(+.f64 (/.f64 (/.f64 x y) y) -3)

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness0.0ms (0%)

end42.0ms (0.8%)

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

Details

analyze177.0ms (3.4%)

sample1.2s (24.3%)

preprocess30.0ms (0.6%)

simplify13.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize13.0ms (0.3%)

series10.0ms (0.2%)

rewrite66.0ms (1.3%)

simplify178.0ms (3.5%)

eval8.0ms (0.2%)

prune9.0ms (0.2%)

localize16.0ms (0.3%)

series2.0ms (0%)

rewrite53.0ms (1%)

simplify168.0ms (3.3%)

localize18.0ms (0.3%)

series3.0ms (0.1%)

rewrite94.0ms (1.8%)

simplify186.0ms (3.6%)

localize110.0ms (2.1%)

series6.0ms (0.1%)

rewrite185.0ms (3.6%)

simplify137.0ms (2.7%)

localize9.0ms (0.2%)

series12.0ms (0.2%)

rewrite61.0ms (1.2%)

simplify134.0ms (2.6%)

localize36.0ms (0.7%)

series10.0ms (0.2%)

rewrite67.0ms (1.3%)

simplify9.0ms (0.2%)

eval149.0ms (2.9%)

prune104.0ms (2%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite62.0ms (1.2%)

simplify137.0ms (2.7%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite54.0ms (1%)

simplify167.0ms (3.3%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite89.0ms (1.7%)

simplify165.0ms (3.2%)

localize18.0ms (0.4%)

series16.0ms (0.3%)

rewrite145.0ms (2.8%)

simplify119.0ms (2.3%)

eval107.0ms (2.1%)

prune61.0ms (1.2%)

localize35.0ms (0.7%)

series28.0ms (0.5%)

rewrite118.0ms (2.3%)

simplify225.0ms (4.4%)

eval84.0ms (1.6%)

prune32.0ms (0.6%)

regimes56.0ms (1.1%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end42.0ms (0.8%)

Profiling