Details

analyze135.0ms (6.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	39%	4.8%	8
62.4%	27.3%	10.2%	9
65.6%	22.2%	12.2%	10
68.7%	14.6%	16.7%	11
70.2%	11.8%	18%	12
71.8%	7.6%	20.6%	13
72.6%	6.1%	21.3%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample753.0ms (38.3%)

Results

702.0ms	8256×	body	128	valid
33.0ms	411×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess14.0ms (0.7%)

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 9 to 6 computations (33.3% saved)

simplify8.0ms (0.4%)

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)

prune2.0ms (0.1%)

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

5.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	5.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)

Compiler

Compiled 34 to 20 computations (41.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 x (*.f64 y y)) 3)
✓	10.2b	(/.f64 x (*.f64 y y))

series6.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite44.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`
78×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	159	15
2	2160	15

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (pow.f64 y -2))) (cbrt.f64 (/.f64 (.f64 x x) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 x x) (pow.f64 y 4))) (cbrt.f64 (.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (pow.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 x x) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 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 log1p.f64 (expm1.f64 (.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (pow.f64 y -2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2) (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (pow.f64 y -2)) 3) -27) (/.f64 1 (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 9 (/.f64 3 (/.f64 y (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) -9) (/.f64 1 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 9 (/.f64 3 (/.f64 y (/.f64 x y))))) (+.f64 (pow.f64 (.f64 x (pow.f64 y -2)) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (pow.f64 y -2)) 3) -27) (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 9 (/.f64 3 (/.f64 y (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (pow.f64 y -2)) 3) -27) (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) (-.f64 9 (.f64 (.f64 x (pow.f64 y -2)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) -9) (fma.f64 x (pow.f64 y -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) -9) (-.f64 (.f64 x (pow.f64 y -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (pow.f64 y -2)) 3) -27)) (neg.f64 (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 9 (/.f64 3 (/.f64 y (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) -9)) (neg.f64 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (.f64 x x) (pow.f64 y 4))) (cbrt.f64 (.f64 x (pow.f64 y -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)) 1))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (pow.f64 y -2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2) (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (/.f64 1 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 9 (/.f64 3 (/.f64 y (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9) (/.f64 1 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 9 (/.f64 3 (/.f64 y (/.f64 x y))))) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 9 (/.f64 3 (/.f64 y (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (-.f64 9 (*.f64 (*.f64 x (pow.f64 y -2)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9) (fma.f64 x (pow.f64 y -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9) (-.f64 (*.f64 x (pow.f64 y -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27)) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 9 (/.f64 3 (/.f64 y (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9)) (neg.f64 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)) 1))))))

simplify84.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

607×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
335×	`associate-/l/_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	372
1	16	372
2	26	372
3	41	372
4	80	372
5	228	372
6	809	372
7	2020	372
8	2186	372
9	2370	372
10	2578	372
11	2869	372
12	3262	372
13	3742	372
14	4305	372
15	4989	372

Stop Event

1×	node limit

Counts

114 → 71

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))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)

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

prune68.0ms (3.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Error

0.0b

Counts

72 → 6

Alt Table

Status	Error	Program
	6.0b	(fma.f64 x (pow.f64 y -2) -3)
	0.2b	(-.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) 3)
	29.3b	(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 2) 3)
	14.2b	(-.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) 3)
▶	0.1b	(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓	5.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)

Compiler

Compiled 973 to 670 computations (31.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓	0.3b	(*.f64 (/.f64 x y) (/.f64 1 y))

series3.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite50.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`log-prod_binary64`
168×	`pow1/3_binary64`
167×	`expm1-udef_binary64`
167×	`log1p-udef_binary64`
155×	`pow3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	200	17
2	2634	15

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (pow.f64 y -2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3))) (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (pow.f64 y -2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2) (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9) (/.f64 1 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9)) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (-.f64 9 (*.f64 (*.f64 x (pow.f64 y -2)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9) (fma.f64 x (pow.f64 y -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9)) (neg.f64 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9)) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 1 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 x y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 y -2)) 1 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (pow.f64 (cbrt.f64 y) -1) (/.f64 x y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2) (cbrt.f64 (*.f64 x (pow.f64 y -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 1 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (/.f64 x y) (sqrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (/.f64 x y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 1 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x y)) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) (/.f64 (sqrt.f64 (/.f64 x y)) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 x (pow.f64 y -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 1 y) (sqrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (pow.f64 y -1/2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 y) -1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 y -2))) (pow.f64 (cbrt.f64 y) -1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (pow.f64 y -1/2)) (pow.f64 y -1/2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)) 1))))))

simplify75.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

607×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
335×	`associate-/l/_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	372
1	16	372
2	26	372
3	41	372
4	80	372
5	228	372
6	809	372
7	2020	372
8	2186	372
9	2370	372
10	2578	372
11	2869	372
12	3262	372
13	3742	372
14	4305	372
15	4989	372

Stop Event

1×	node limit

Counts

158 → 114

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))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)

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

prune88.0ms (4.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Error

Counts

120 → 7

Alt Table

Status	Error	Program
	6.0b	(fma.f64 x (pow.f64 y -2) -3)
	29.3b	(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 2) 3)
	14.2b	(-.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) 3)
▶	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
✓	0.1b	(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓	5.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	26.3b	(fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)) -3)

Compiler

Compiled 1535 to 992 computations (35.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (/.f64 x y) y) 3)
✓	0.2b	(/.f64 (/.f64 x y) y)

series4.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (/.f64 x y) y)
0.0ms	x	@	0	(/.f64 (/.f64 x y) y)
0.0ms	x	@	-inf	(/.f64 (/.f64 x y) y)
0.0ms	x	@	-inf	(-.f64 (/.f64 (/.f64 x y) y) 3)
0.0ms	y	@	-inf	(/.f64 (/.f64 x y) y)

rewrite62.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
80×	`*-un-lft-identity_binary64`
80×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	162	17
2	2300	17

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (*.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 2) (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (+.f64 9 (*.f64 (/.f64 x (*.f64 y y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9) (/.f64 1 (+.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (+.f64 9 (*.f64 (/.f64 x (*.f64 y y)) 3))) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) 3) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (+.f64 9 (*.f64 (/.f64 x (*.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (-.f64 9 (*.f64 (/.f64 x (*.f64 y y)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9) (+.f64 (/.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9) (-.f64 (/.f64 x (*.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (+.f64 9 (*.f64 (/.f64 x (*.f64 y y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9)) (neg.f64 (+.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 1 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 2) (cbrt.f64 (/.f64 x (*.f64 y y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 1))))))

simplify73.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

607×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
335×	`associate-/l/_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	372
1	16	372
2	26	372
3	41	372
4	80	372
5	228	372
6	809	372
7	2020	372
8	2186	372
9	2370	372
10	2578	372
11	2869	372
12	3262	372
13	3742	372
14	4305	372
15	4989	372

Stop Event

1×	node limit

Counts

119 → 75

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))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)

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

prune56.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Error

Counts

82 → 6

Alt Table

Status	Error	Program
▶	6.1b	(-.f64 (.f64 x (.f64 (/.f64 1 y) (/.f64 1 y))) 3)
	29.3b	(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 2) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
✓	0.1b	(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓	5.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	26.3b	(fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)) -3)

Compiler

Compiled 1077 to 535 computations (50.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (.f64 (/.f64 1 y) (/.f64 1 y))) 3)
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 1 y))
✓	10.4b	(.f64 x (.f64 (/.f64 1 y) (/.f64 1 y)))

series4.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 1 y) (/.f64 1 y))
0.0ms	x	@	0	(.f64 x (.f64 (/.f64 1 y) (/.f64 1 y)))
0.0ms	y	@	inf	(.f64 x (.f64 (/.f64 1 y) (/.f64 1 y)))
0.0ms	x	@	inf	(.f64 x (.f64 (/.f64 1 y) (/.f64 1 y)))
0.0ms	x	@	-inf	(-.f64 (.f64 x (.f64 (/.f64 1 y) (/.f64 1 y))) 3)

rewrite47.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`
90×	`*-un-lft-identity_binary64`
90×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	197	19
2	2452	19

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (pow.f64 y -2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2) (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (+.f64 9 (*.f64 x (*.f64 (pow.f64 y -2) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9) (/.f64 1 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (+.f64 9 (*.f64 x (*.f64 (pow.f64 y -2) 3)))) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (+.f64 9 (*.f64 x (*.f64 (pow.f64 y -2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (-.f64 9 (*.f64 (*.f64 x (pow.f64 y -2)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9) (fma.f64 x (pow.f64 y -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9) (-.f64 (*.f64 x (pow.f64 y -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) (+.f64 9 (*.f64 x (*.f64 (pow.f64 y -2) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2) -9)) (neg.f64 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -2) x -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2)) (cbrt.f64 (*.f64 x (pow.f64 y -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (sqrt.f64 x)) (*.f64 (/.f64 1 y) (sqrt.f64 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 1 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)) 1))))))

simplify75.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

647×	`associate-/l/_binary64`
468×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
272×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	456
1	19	456
2	29	456
3	48	456
4	101	456
5	296	456
6	1074	456
7	1927	456
8	2091	456
9	2275	456
10	2483	456
11	2772	456
12	3650	456
13	4130	456
14	4693	456

Stop Event

1×	node limit

Counts

145 → 90

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))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)

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

prune77.0ms (3.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	90	6	96

Error

Counts

96 → 6

Alt Table

Status	Error	Program
✓	6.1b	(-.f64 (.f64 x (.f64 (/.f64 1 y) (/.f64 1 y))) 3)
	29.3b	(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 2) 3)
✓	0.1b	(-.f64 (/.f64 (/.f64 x y) y) 3)
✓	0.1b	(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓	5.9b	(-.f64 (/.f64 x (*.f64 y y)) 3)
	26.3b	(fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)) -3)

Compiler

Compiled 1089 to 797 computations (26.8% saved)

regimes138.0ms (7%)

Accuracy

Total 0.1b remaining (79.1%)

Threshold costs 0.1b (79.1%)

Counts

40 → 1

Compiler

Compiled 421 to 264 computations (37.3% saved)

simplify2.0ms (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×

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)

end76.0ms (3.9%)

Stop Event

1×

fuel

Compiler

Compiled 90 to 61 computations (32.2% saved)

Details

analyze135.0ms (6.9%)

sample753.0ms (38.3%)

preprocess14.0ms (0.7%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite44.0ms (2.2%)

simplify84.0ms (4.3%)

prune68.0ms (3.5%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite50.0ms (2.6%)

simplify75.0ms (3.8%)

prune88.0ms (4.5%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite62.0ms (3.1%)

simplify73.0ms (3.7%)

prune56.0ms (2.9%)

localize7.0ms (0.3%)

series4.0ms (0.2%)

rewrite47.0ms (2.4%)

simplify75.0ms (3.8%)

prune77.0ms (3.9%)

regimes138.0ms (7%)

simplify2.0ms (0.1%)

end76.0ms (3.9%)

Profiling