Details

analyze79.0ms (4.6%)

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
50.8%	50%	48.4%	0.1%	1.6%	0%	0%	7
60.8%	59.3%	38.2%	0.1%	2.3%	0%	0%	8
70.8%	67.1%	27.7%	0.1%	5.1%	0%	0%	9
77.3%	72.6%	21.3%	0.1%	6%	0%	0%	10
83.9%	76.9%	14.7%	0.1%	8.3%	0%	0%	11
87.7%	79.8%	11.2%	0.1%	8.9%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample936.0ms (54%)

Results

891.0ms	8256×	body	256	valid
32.0ms	371×	body	256	infinite

Bogosity

preprocess7.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

76×	`fma-def`
20×	`*-commutative`
16×	`+-commutative`
12×	`associate-+l+`
10×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	24	30
2	34	30
3	43	30
4	57	30
5	73	30
6	101	30
7	115	30
8	117	30
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(+.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))

Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify23.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

76×	`fma-def`
20×	`*-commutative`
16×	`+-commutative`
14×	`associate-r`
14×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	14	15
2	26	15
3	37	15
4	47	15
5	62	15
6	88	15
7	114	15
8	119	15
9	120	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))

eval0.0ms (0%)

Compiler: Compiled 15 to 7 computations (53.3% saved)

prune1.0ms (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

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x y) x)

Compiler

Compiled 19 to 5 computations (73.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`add-sqr-sqrt`
1450×	`*-un-lft-identity`
1354×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1787	9

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify55.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1014×	`associate-+r+`
800×	`associate-+l+`
642×	`*-commutative`
554×	`associate-*r/`
490×	`associate-/l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1079
1	244	1029
2	966	1029
3	3522	1019

Stop Event

1×	node limit

Counts

63 → 52

Calls

Call 1

Inputs
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 y 1))
(*.f64 (fma.f64 x y x) 1)
(*.f64 1 (fma.f64 x y x))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 x y) x)))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 x (*.f64 x y))))))
(*.f64 (+.f64 y 1) x)
(/.f64 1 (/.f64 (-.f64 (.f64 x y) x) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 x (.f64 x y)))) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (-.f64 (*.f64 x y) x))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 x (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) 2)) (-.f64 x (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x))) (neg.f64 (-.f64 (*.f64 x y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 x (.f64 x y))))))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(exp.f64 (log.f64 (fma.f64 x y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) x)

Outputs
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(fma.f64 y x x)
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (*.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 y x (neg.f64 x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 y y) -1)) (.f64 x (-.f64 y 1)))
(/.f64 (.f64 (.f64 x x) (+.f64 -1 (.f64 y y))) (.f64 x (+.f64 y -1)))
(*.f64 x (+.f64 1 y))
(fma.f64 y x x)
(*.f64 x (+.f64 y 1))
(fma.f64 y x x)
(*.f64 (fma.f64 x y x) 1)
(fma.f64 y x x)
(*.f64 1 (fma.f64 x y x))
(fma.f64 y x x)
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(fma.f64 y x x)
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))
(fma.f64 y x x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))
(fma.f64 y x x)
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 x y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (*.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 y x (neg.f64 x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 y y) -1)) (.f64 x (-.f64 y 1)))
(/.f64 (.f64 (.f64 x x) (+.f64 -1 (.f64 y y))) (.f64 x (+.f64 y -1)))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 x (*.f64 x y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (-.f64 x (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 x (+.f64 x (.f64 y (.f64 x (+.f64 y -1))))))
(*.f64 (+.f64 y 1) x)
(fma.f64 y x x)
(/.f64 1 (/.f64 (-.f64 (.f64 x y) x) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (*.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 y x (neg.f64 x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 y y) -1)) (.f64 x (-.f64 y 1)))
(/.f64 (.f64 (.f64 x x) (+.f64 -1 (.f64 y y))) (.f64 x (+.f64 y -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 x (.f64 x y)))) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (-.f64 x (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 x (+.f64 x (.f64 y (.f64 x (+.f64 y -1))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (-.f64 (*.f64 x y) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (*.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 y x (neg.f64 x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 y y) -1)) (.f64 x (-.f64 y 1)))
(/.f64 (.f64 (.f64 x x) (+.f64 -1 (.f64 y y))) (.f64 x (+.f64 y -1)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 x (.f64 x y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (-.f64 x (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 x (+.f64 x (.f64 y (.f64 x (+.f64 y -1))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x (*.f64 x y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (-.f64 x (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 x (+.f64 x (.f64 y (.f64 x (+.f64 y -1))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) 2)) (-.f64 x (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (*.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 y x (neg.f64 x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 y y) -1)) (.f64 x (-.f64 y 1)))
(/.f64 (.f64 (.f64 x x) (+.f64 -1 (.f64 y y))) (.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x))) (neg.f64 (-.f64 (*.f64 x y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (*.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 y x (neg.f64 x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 y y) -1)) (.f64 x (-.f64 y 1)))
(/.f64 (.f64 (.f64 x x) (+.f64 -1 (.f64 y y))) (.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 x (.f64 x y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (-.f64 x (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 x (+.f64 x (.f64 y (.f64 x (+.f64 y -1))))))
(pow.f64 (fma.f64 x y x) 1)
(fma.f64 y x x)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(fma.f64 y x x)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(fma.f64 y x x)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(fma.f64 y x x)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(fma.f64 y x x)
(log.f64 (exp.f64 (fma.f64 x y x)))
(fma.f64 y x x)
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(fma.f64 y x x)
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(fma.f64 y x x)
(exp.f64 (log.f64 (fma.f64 x y x)))
(fma.f64 y x x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) 1))
(fma.f64 y x x)
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 y x x)
(fma.f64 1 x (*.f64 x y))
(fma.f64 y x x)
(fma.f64 1 (*.f64 x y) x)
(fma.f64 y x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) x)
(fma.f64 y x x)

eval11.0ms (0.6%)

Compiler: Compiled 710 to 296 computations (58.3% saved)

prune7.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Error

Counts

53 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (+.f64 (*.f64 x y) x) y)
▶	29.6b	(+.f64 (*.f64 y x) y)
▶	10.2b	(+.f64 x y)

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.2%)

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0.1%)

Counts

1 → 21

Calls

6 calls:

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

rewrite108.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`add-sqr-sqrt`
1450×	`*-un-lft-identity`
1354×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1787	9

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify60.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1384×	`associate-r`
1230×	`associate-l`
824×	`associate-+r+`
634×	`associate-*r/`
572×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	1236
1	242	1002
2	902	1002
3	5180	1002

Stop Event

1×	node limit

Counts

60 → 52

Calls

Call 1

Inputs
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
y
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(-.f64 (+.f64 1 (fma.f64 y x y)) 1)
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 y x) y)))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 x 1))
(*.f64 (fma.f64 y x y) 1)
(*.f64 1 (fma.f64 y x y))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2) (cbrt.f64 (fma.f64 y x y)))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y y)) (/.f64 1 (-.f64 (.f64 y x) y)))
(.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 y (*.f64 y x))))))
(*.f64 (+.f64 x 1) y)
(/.f64 1 (/.f64 (-.f64 (.f64 y x) y) (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 y y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 y (.f64 y x)))) (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y y)) (-.f64 (*.f64 y x) y))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 y (.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y (*.f64 y x)))))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y x) 2)) (-.f64 y (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 y (.f64 y x))))))
(pow.f64 (fma.f64 y x y) 1)
(pow.f64 (sqrt.f64 (fma.f64 y x y)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y x y)) 3)
(pow.f64 (pow.f64 (fma.f64 y x y) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y x y) 2))
(log.f64 (exp.f64 (fma.f64 y x y)))
(cbrt.f64 (pow.f64 (fma.f64 y x y) 3))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(exp.f64 (log.f64 (fma.f64 y x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x y)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(fma.f64 x y y)
(fma.f64 1 y (*.f64 y x))
(fma.f64 1 (*.f64 y x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) y)

Outputs
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
y
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(-.f64 (+.f64 1 (fma.f64 y x y)) 1)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 y x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 y y)) (-.f64 (*.f64 x y) y))
(/.f64 (.f64 y (-.f64 y (.f64 y (*.f64 x x)))) (fma.f64 x (neg.f64 y) y))
(-.f64 (/.f64 y (-.f64 1 x)) (/.f64 (.f64 y (.f64 x x)) (-.f64 1 x)))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 y (+.f64 x 1))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (fma.f64 y x y) 1)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 1 (fma.f64 y x y))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2) (cbrt.f64 (fma.f64 y x y)))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y y)) (/.f64 1 (-.f64 (.f64 y x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 y y)) (-.f64 (*.f64 x y) y))
(/.f64 (.f64 y (-.f64 y (.f64 y (*.f64 x x)))) (fma.f64 x (neg.f64 y) y))
(-.f64 (/.f64 y (-.f64 1 x)) (/.f64 (.f64 y (.f64 x x)) (-.f64 1 x)))
(.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 y (*.f64 y x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 y (-.f64 y (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y y (.f64 x (.f64 y (.f64 y (-.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) y) (.f64 y y)))
(*.f64 (+.f64 x 1) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(/.f64 1 (/.f64 (-.f64 (.f64 y x) y) (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 y y)) (-.f64 (*.f64 x y) y))
(/.f64 (.f64 y (-.f64 y (.f64 y (*.f64 x x)))) (fma.f64 x (neg.f64 y) y))
(-.f64 (/.f64 y (-.f64 1 x)) (/.f64 (.f64 y (.f64 x x)) (-.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 y (.f64 y x)))) (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 y (-.f64 y (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y y (.f64 x (.f64 y (.f64 y (-.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) y) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y y)) (-.f64 (*.f64 y x) y))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 y y)) (-.f64 (*.f64 x y) y))
(/.f64 (.f64 y (-.f64 y (.f64 y (*.f64 x x)))) (fma.f64 x (neg.f64 y) y))
(-.f64 (/.f64 y (-.f64 1 x)) (/.f64 (.f64 y (.f64 x x)) (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 y (.f64 y x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 y (-.f64 y (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y y (.f64 x (.f64 y (.f64 y (-.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) y) (.f64 y y)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y (*.f64 y x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 y (-.f64 y (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y y (.f64 x (.f64 y (.f64 y (-.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) y) (.f64 y y)))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y x) 2)) (-.f64 y (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 y y)) (-.f64 (*.f64 x y) y))
(/.f64 (.f64 y (-.f64 y (.f64 y (*.f64 x x)))) (fma.f64 x (neg.f64 y) y))
(-.f64 (/.f64 y (-.f64 1 x)) (/.f64 (.f64 y (.f64 x x)) (-.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 y y)) (-.f64 (*.f64 x y) y))
(/.f64 (.f64 y (-.f64 y (.f64 y (*.f64 x x)))) (fma.f64 x (neg.f64 y) y))
(-.f64 (/.f64 y (-.f64 1 x)) (/.f64 (.f64 y (.f64 x x)) (-.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 y (.f64 y x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 y (-.f64 y (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 y y (.f64 x (.f64 y (.f64 y (-.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 y 3)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) y) (.f64 y y)))
(pow.f64 (fma.f64 y x y) 1)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(pow.f64 (sqrt.f64 (fma.f64 y x y)) 2)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(pow.f64 (cbrt.f64 (fma.f64 y x y)) 3)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(pow.f64 (pow.f64 (fma.f64 y x y) 3) 1/3)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(sqrt.f64 (pow.f64 (fma.f64 y x y) 2))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(log.f64 (exp.f64 (fma.f64 y x y)))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(cbrt.f64 (pow.f64 (fma.f64 y x y) 3))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(exp.f64 (log.f64 (fma.f64 y x y)))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(exp.f64 (*.f64 (log.f64 (fma.f64 y x y)) 1))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(fma.f64 x y y)
(*.f64 y (+.f64 1 x))
(fma.f64 1 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(fma.f64 1 (*.f64 y x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) y)
(*.f64 y (+.f64 1 x))
(fma.f64 x y y)

eval9.0ms (0.5%)

Compiler: Compiled 595 to 234 computations (60.7% saved)

prune55.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	50	5	55

Error

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	29.6b	(+.f64 (*.f64 y x) y)
✓	10.2b	(+.f64 x y)
▶	53.0b	(*.f64 y x)
	39.2b	y

Compiler

Compiled 29 to 17 computations (41.4% saved)

localize3.0ms (0.2%)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	29.6b	(+.f64 (*.f64 y x) y)
✓	10.2b	(+.f64 x y)
✓	53.0b	(*.f64 y x)
	39.2b	y

Compiler

Compiled 29 to 17 computations (41.4% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	29.6b	(+.f64 (*.f64 y x) y)
✓	10.2b	(+.f64 x y)
✓	53.0b	(*.f64 y x)
	39.2b	y

Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes14.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 36 to 17 computations (52.8% saved)

regimes37.0ms (2.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	y
7.0ms	x

Results

Error	Segments	Branch
8.7b	2	`x`
0.9b	3	`y`

Compiler

Compiled 20 to 9 computations (55% saved)

bsearch49.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.02130523836451598	240467426228.53772
34.0ms	-5698.26418460086	-0.0007968300173558326

Results

46.0ms

304×

body

256

valid

Compiler

Compiled 262 to 171 computations (34.7% saved)

regimes19.0ms (1.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	y
7.0ms	x

Results

Error	Segments	Branch
9.1b	2	`x`
4.8b	4	`y`

Compiler

Compiled 15 to 8 computations (46.7% saved)

bsearch38.0ms (2.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
11.0ms	3.7590633015717904e+98	7.403298436937284e+99
13.0ms	1.6145681943925782e+59	8.041791041046228e+63
15.0ms	-5698.26418460086	-0.0007968300173558326

Results

32.0ms	384×	body	256	valid
2.0ms	21×	body	256	infinite

Compiler

Compiled 302 to 201 computations (33.4% saved)

regimes60.0ms (3.4%)

Accuracy

Total -32.1b remaining (-106.5%)

Threshold costs -32.1b (-106.5%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 y x)

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

Calls

2 calls:

50.0ms	y
9.0ms	x

Results

Error	Segments	Branch
30.2b	3	`x`
33.7b	4	`y`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch23.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.049763104561934286	1.1827724408896925e+24
8.0ms	-49644432792966860.0	-14683884833127586.0

Results

21.0ms	256×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 174 to 121 computations (30.5% saved)

simplify30.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`if-if-or-not`
4×	`not-or`
2×	`1-exp`
2×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	153
1	48	153
2	51	153
3	54	149
4	55	149
5	56	149

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(if (<=.f64 y -5600) (.f64 y x) (if (<=.f64 y 1) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 y -5600) (.f64 y x) (if (<=.f64 y 2899999999999999930294067767636488291342012882211626576611639296) (+.f64 x y) (if (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472) (.f64 y x) (+.f64 x y))))
(if (<=.f64 x -15000000000000000) (.f64 y x) (if (<=.f64 x 1) y (.f64 y x)))
y

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 x y)))
(if (<=.f64 y -5600) (.f64 y x) (if (<=.f64 y 1) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 y -5600) (.f64 x y) (if (<=.f64 y 1) (+.f64 x y) (+.f64 y (.f64 x y))))
(if (<=.f64 y -5600) (.f64 y x) (if (<=.f64 y 2899999999999999930294067767636488291342012882211626576611639296) (+.f64 x y) (if (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472) (.f64 y x) (+.f64 x y))))
(if (<=.f64 y -5600) (.f64 x y) (if (<=.f64 y 2899999999999999930294067767636488291342012882211626576611639296) (+.f64 x y) (if (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472) (.f64 x y) (+.f64 x y))))
(if (or (<=.f64 y -5600) (and (not (<=.f64 y 2899999999999999930294067767636488291342012882211626576611639296)) (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472))) (*.f64 x y) (+.f64 x y))
(if (<=.f64 x -15000000000000000) (.f64 y x) (if (<=.f64 x 1) y (.f64 y x)))
(if (<=.f64 x -15000000000000000) (.f64 x y) (if (<=.f64 x 1) y (.f64 x y)))
y

Compiler

Compiled 71 to 41 computations (42.3% saved)

soundness0.0ms (0%)

end35.0ms (2%)

Remove: (sort x y)
Compiler: Compiled 81 to 39 computations (51.9% saved)

Details

analyze79.0ms (4.6%)

sample936.0ms (54%)

preprocess7.0ms (0.4%)

simplify23.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series2.0ms (0.1%)

rewrite53.0ms (3.1%)

simplify55.0ms (3.2%)

eval11.0ms (0.6%)

prune7.0ms (0.4%)

localize3.0ms (0.2%)

localize4.0ms (0.2%)

series1.0ms (0.1%)

rewrite108.0ms (6.2%)

simplify60.0ms (3.5%)

eval9.0ms (0.5%)

prune55.0ms (3.2%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes14.0ms (0.8%)

regimes37.0ms (2.2%)

bsearch49.0ms (2.8%)

regimes19.0ms (1.1%)

bsearch38.0ms (2.2%)

regimes60.0ms (3.4%)

bsearch23.0ms (1.4%)

simplify30.0ms (1.8%)

soundness0.0ms (0%)

end35.0ms (2%)

Profiling