Details

analyze88.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample988.0ms (25.6%)

Results

919.0ms	8228×	body	256	valid
6.0ms	66×	body	256	infinite
2.0ms	11×	body	2048	valid
2.0ms	14×	body	512	valid
1.0ms	3×	body	1024	valid

Bogosity

preprocess28.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

86×	`fma-neg_binary64`
48×	`fma-def_binary64`
26×	`cancel-sign-sub-inv_binary64`
24×	`distribute-rgt-in_binary64`
22×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	34	14
3	70	14
4	114	14
5	185	14
6	273	14
7	374	14
8	422	14
9	424	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))

Outputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify347.0ms (9%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
31×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	40	7
4	67	7
5	96	7
6	167	7
7	270	7
8	383	7
9	456	7
10	540	7
11	556	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 500 (-.f64 x y))

Outputs
(*.f64 500 (-.f64 x y))

eval1.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 500 (-.f64 x y))
1.0ms	x	@	-inf	(*.f64 500 (-.f64 x y))
1.0ms	x	@	0	(*.f64 500 (-.f64 x y))
0.0ms	y	@	inf	(*.f64 500 (-.f64 x y))
0.0ms	y	@	0	(*.f64 500 (-.f64 x y))

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1735	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(*.f64 500 (-.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 500) (.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 500 x) (.f64 500 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 500 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (fma.f64 x x (.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) 500) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 500 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 500 (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (-.f64 x y) 2) 250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 500 (-.f64 x y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 500) (*.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 500 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 500 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))))

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	12	168
2	15	168

Stop Event

1×

saturated

Counts

41 → 21

Calls

Call 1

Inputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))

Outputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))

eval4.0ms (0.1%)

Compiler: Compiled 184 to 107 computations (41.8% saved)

prune20.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Error

Counts

22 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	32.1b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
▶	30.5b	(*.f64 500 x)
▶	0.0b	(fma.f64 -500 y (*.f64 500 x))
▶	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
▶	32.1b	(*.f64 -500 y)

Compiler

Compiled 91 to 65 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -500 y (*.f64 500 x))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(fma.f64 -500 y (*.f64 500 x))
0.0ms	y	@	-inf	(fma.f64 -500 y (*.f64 500 x))
0.0ms	x	@	-inf	(fma.f64 -500 y (*.f64 500 x))
0.0ms	x	@	0	(fma.f64 -500 y (*.f64 500 x))
0.0ms	x	@	inf	(fma.f64 -500 y (*.f64 500 x))

rewrite66.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
550×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	140	8
2	1513	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 -500 y (*.f64 500 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 500 x) (.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -500 y) (.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -500 y) 1) (.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -500 y (.f64 500 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -500 y (.f64 500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -500 y (.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -500 y (.f64 500 x))) (pow.f64 (cbrt.f64 (fma.f64 -500 y (.f64 500 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -500 y (.f64 500 x))) 2) (cbrt.f64 (fma.f64 -500 y (.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -500 y (.f64 500 x))) (sqrt.f64 (fma.f64 -500 y (.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 -500 y) 3) (pow.f64 (.f64 500 x) 3)) (+.f64 (.f64 (.f64 -500 y) (.f64 -500 y)) (-.f64 (.f64 (.f64 x x) 250000) (.f64 (.f64 -500 y) (.f64 500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 -500 y) (.f64 -500 y)) (.f64 (.f64 x x) 250000)) (-.f64 (.f64 -500 y) (.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -500 y (.f64 500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -500 y (.f64 500 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -500 y (.f64 500 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -500 y (.f64 500 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -500 y (.f64 500 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -500 y (.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -500 y (.f64 500 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -500 y (.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -500 y (.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -500 y (.f64 500 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -500 y) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -500 y) 1) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -500 y (*.f64 500 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -500 y (*.f64 500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -500 y (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) (pow.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) 2) (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -500 y (*.f64 500 x))) (sqrt.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -500 y) 3) (pow.f64 (*.f64 500 x) 3)) (+.f64 (*.f64 (*.f64 -500 y) (*.f64 -500 y)) (-.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 -500 y) (*.f64 500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -500 y) (*.f64 -500 y)) (*.f64 (*.f64 x x) 250000)) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -500 y (*.f64 500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -500 y (*.f64 500 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -500 y (*.f64 500 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -500 y (*.f64 500 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -500 y (*.f64 500 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -500 y (*.f64 500 x))))))))

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	12	168
2	15	168

Stop Event

1×

saturated

Counts

45 → 24

Calls

Call 1

Inputs
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))

Outputs
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 6

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 500 x) (.f64 -500 y))
0.0ms	x	@	0	(+.f64 (.f64 500 x) (.f64 -500 y))
0.0ms	y	@	inf	(+.f64 (.f64 500 x) (.f64 -500 y))
0.0ms	y	@	-inf	(+.f64 (.f64 500 x) (.f64 -500 y))
0.0ms	x	@	-inf	(+.f64 (.f64 500 x) (.f64 -500 y))

rewrite94.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
793×	`add-log-exp_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
778×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	171	8
2	2167	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 500 x) (.f64 -500 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 500 x (*.f64 -500 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 500 x) 2) (+.f64 (*.f64 500 x) (*.f64 500 y))) (/.f64 (pow.f64 (*.f64 -500 y) 2) (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 500 x (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2) (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2)) (/.f64 1 (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x)))) (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 500 x) (*.f64 500 y)) (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 -500 y) 2) (-.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 500 (*.f64 x (*.f64 -500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2)) (+.f64 (*.f64 500 x) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2))) (neg.f64 (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -500 y) 2) (pow.f64 (*.f64 500 x) 2)) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 x (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 500 (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -500 y (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -500 (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 500 x) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -500 y) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -500 y)) 2) (cbrt.f64 (*.f64 -500 y)) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 500 x)) 2) (cbrt.f64 (*.f64 500 x)) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -500 y)) (sqrt.f64 (*.f64 -500 y)) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 500 x)) (sqrt.f64 (*.f64 500 x)) (*.f64 -500 y))))))

simplify22.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	9	24

Stop Event

1×

saturated

Counts

43 → 39

Calls

Call 1

Inputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 -500 y)

Outputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 -500 y)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500)
✓	3.6b	(-.f64 (.f64 x x) (.f64 y y))
✓	30.0b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))

Compiler

Compiled 43 to 12 computations (72.1% saved)

series9.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms	y	@	-inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))

rewrite136.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log-prod_binary64`
527×	`fma-def_binary64`
304×	`pow2_binary64`
244×	`fma-neg_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	235	30
2	3520	30

Stop Event

1×	node limit

Counts

3 → 272

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 500 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) 1/500)) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 500 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 2) (cbrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -500) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 500 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (+.f64 x y))) (/.f64 500 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (sqrt.f64 (+.f64 x y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 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x x) (*.f64 y y)) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 500 (*.f64 (*.f64 y (neg.f64 y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500 (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500 (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 (*.f64 x x) (*.f64 500 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 1 (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 1 (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (+.f64 x y)) (-.f64 x y) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (+.f64 x y)) (-.f64 x y) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))))

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-neg_binary64`
784×	`fma-def_binary64`
693×	`distribute-rgt-neg-in_binary64`
486×	`unswap-sqr_binary64`
264×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	690
1	37	672
2	68	672
3	132	672
4	353	672
5	1140	672
6	2250	672
7	5703	672

Stop Event

1×	node limit

Counts

344 → 288

Calls

Call 1

Inputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -500 (pow.f64 y 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 500 (pow.f64 x 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 500 (pow.f64 x 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 500 (pow.f64 x 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 -500 (pow.f64 y 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 -500 (pow.f64 y 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))

Outputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))

eval147.0ms (3.8%)

Compiler: Compiled 6992 to 2712 computations (61.2% saved)

prune59.0ms (1.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	350	7	357

Error

Counts

357 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))
✓	0.0b	(fma.f64 -500 y (*.f64 500 x))
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	48.0b	(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
✓	30.5b	(*.f64 500 x)
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	32.1b	(*.f64 -500 y)

Compiler

Compiled 62 to 44 computations (29% saved)

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 500 (+.f64 x y))
	3.6b	(-.f64 (.f64 x x) (.f64 y y))
✓	30.1b	(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))

Compiler

Compiled 51 to 17 computations (66.7% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))
1.0ms	x	@	0	(/.f64 500 (+.f64 x y))
1.0ms	x	@	-inf	(/.f64 500 (+.f64 x y))
1.0ms	x	@	inf	(/.f64 500 (+.f64 x y))
1.0ms	y	@	inf	(/.f64 500 (+.f64 x y))

rewrite95.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log-prod_binary64`
572×	`fma-def_binary64`
316×	`pow2_binary64`
250×	`fma-neg_binary64`
240×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	284	26
2	3844	26

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

Inputs
(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))
(/.f64 500 (+.f64 x y))

Outputs

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(*.f64 x x) (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 500 (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 500 (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 500 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 x y) 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 (+.f64 x y) 1/500) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 x y) 1/500) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 500 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 500 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 500 (*.f64 (+.f64 x y) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 500 (+.f64 x y)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 500 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 500 (+.f64 x y))) 2)) (/.f64 1 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 500 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 500 (+.f64 x y)))) (/.f64 1 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 500 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -500 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -500 (*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (*.f64 -1 (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) 1/500) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 (*.f64 (+.f64 x y) 1/500) (fma.f64 (*.f64 y y) (pow.f64 (hypot.f64 x y) 2) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (*.f64 (+.f64 x y) 1/500) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 500 (+.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) 1) (*.f64 (fma.f64 (*.f64 y y) (pow.f64 (hypot.f64 x y) 2) (pow.f64 x 4)) (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 1) (*.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) 500) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) 500) (*.f64 (fma.f64 (*.f64 y y) (pow.f64 (hypot.f64 x y) 2) (pow.f64 x 4)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 500) (*.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -500) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) -500) (*.f64 -1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) -500) (*.f64 (fma.f64 (*.f64 y y) (pow.f64 (hypot.f64 x y) 2) (pow.f64 x 4)) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) -500) (*.f64 (pow.f64 (hypot.f64 x y) 2) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -500 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -500 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (neg.f64 (+.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (*.f64 (+.f64 x y) (neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 500 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 500 (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 500 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 500 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 500 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 500 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 500 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 500 (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 500 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 500 (+.f64 x y))) 2) (cbrt.f64 (/.f64 500 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 500 (+.f64 x y))) (sqrt.f64 (/.f64 500 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -500 (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 500 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 250000 (pow.f64 (+.f64 x y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 500 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 500 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 500 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) 1/500) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 x y) 1/500) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 250000 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 500 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 500 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 500 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 500 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 500 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 500 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 500 (+.f64 x y))) 1))))))

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

771×	`associate-/r*_binary64`
760×	`fma-def_binary64`
548×	`associate-*l/_binary64`
471×	`distribute-rgt-out_binary64`
428×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	708
1	130	696
2	358	675
3	1293	642
4	6840	594

Stop Event

1×	node limit

Counts

200 → 170

Calls

Call 1

Inputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(/.f64 500 y)
(+.f64 (.f64 500 (/.f64 1 y)) (.f64 -500 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (*.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(/.f64 500 x)
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (.f64 500 (/.f64 1 x)))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (*.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(/.f64 500 x)
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (.f64 500 (/.f64 1 x)))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (*.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(/.f64 500 x)
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (.f64 500 (/.f64 1 x)))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (*.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(/.f64 500 y)
(+.f64 (.f64 500 (/.f64 1 y)) (.f64 -500 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (*.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(/.f64 500 y)
(+.f64 (.f64 500 (/.f64 1 y)) (.f64 -500 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (*.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))

Outputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(/.f64 500 y)
(+.f64 (.f64 500 (/.f64 1 y)) (.f64 -500 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 500 y) (.f64 -500 (/.f64 x (.f64 y y))))
(fma.f64 -500 (/.f64 x (*.f64 y y)) (/.f64 500 y))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (*.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (/.f64 500 y) (fma.f64 -500 (/.f64 x (.f64 y y)) (.f64 500 (/.f64 (*.f64 x x) (pow.f64 y 3)))))
(+.f64 (/.f64 500 y) (fma.f64 500 (/.f64 x (/.f64 (pow.f64 y 3) x)) (.f64 -500 (/.f64 x (.f64 y y)))))
(fma.f64 -500 (/.f64 x (.f64 y y)) (fma.f64 500 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 500 y)))
(+.f64 (/.f64 500 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -500 (*.f64 500 (/.f64 x y)))))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(+.f64 (/.f64 500 y) (fma.f64 -500 (/.f64 x (.f64 y y)) (fma.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (.f64 500 (/.f64 (*.f64 x x) (pow.f64 y 3))))))
(+.f64 (fma.f64 -500 (/.f64 x (.f64 y y)) (/.f64 500 y)) (fma.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (.f64 500 (/.f64 x (/.f64 (pow.f64 y 3) x)))))
(fma.f64 -500 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 500 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 500 y)))
(fma.f64 500 (fma.f64 (/.f64 x (pow.f64 y 3)) x (/.f64 1 y)) (*.f64 (/.f64 -500 y) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (fma.f64 -500 (/.f64 x (.f64 y y)) (/.f64 500 y)))
(/.f64 500 x)
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (.f64 500 (/.f64 1 x)))
(fma.f64 -500 (/.f64 y (*.f64 x x)) (/.f64 500 x))
(fma.f64 -500 (/.f64 (/.f64 y x) x) (/.f64 500 x))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (*.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(fma.f64 -500 (/.f64 y (.f64 x x)) (+.f64 (/.f64 500 x) (.f64 500 (/.f64 (*.f64 y y) (pow.f64 x 3)))))
(fma.f64 -500 (/.f64 y (.f64 x x)) (fma.f64 500 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 500 x)))
(+.f64 (/.f64 500 x) (.f64 (/.f64 (/.f64 y x) x) (+.f64 -500 (.f64 500 (/.f64 y x)))))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(+.f64 (fma.f64 -500 (/.f64 y (.f64 x x)) (/.f64 500 x)) (fma.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 500 (/.f64 (*.f64 y y) (pow.f64 x 3)))))
(fma.f64 -500 (/.f64 y (.f64 x x)) (fma.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 500 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 500 x))))
(fma.f64 500 (fma.f64 (/.f64 y (pow.f64 x 3)) y (/.f64 1 x)) (*.f64 (/.f64 -500 x) (+.f64 (pow.f64 (/.f64 y x) 3) (/.f64 y x))))
(.f64 (+.f64 (.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 -500 (/.f64 (/.f64 y x) x) (/.f64 500 x)))
(/.f64 500 x)
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (.f64 500 (/.f64 1 x)))
(fma.f64 -500 (/.f64 y (*.f64 x x)) (/.f64 500 x))
(fma.f64 -500 (/.f64 (/.f64 y x) x) (/.f64 500 x))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (*.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(fma.f64 -500 (/.f64 y (.f64 x x)) (+.f64 (/.f64 500 x) (.f64 500 (/.f64 (*.f64 y y) (pow.f64 x 3)))))
(fma.f64 -500 (/.f64 y (.f64 x x)) (fma.f64 500 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 500 x)))
(+.f64 (/.f64 500 x) (.f64 (/.f64 (/.f64 y x) x) (+.f64 -500 (.f64 500 (/.f64 y x)))))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(+.f64 (fma.f64 -500 (/.f64 y (.f64 x x)) (/.f64 500 x)) (fma.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 500 (/.f64 (*.f64 y y) (pow.f64 x 3)))))
(fma.f64 -500 (/.f64 y (.f64 x x)) (fma.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 500 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 500 x))))
(fma.f64 500 (fma.f64 (/.f64 y (pow.f64 x 3)) y (/.f64 1 x)) (*.f64 (/.f64 -500 x) (+.f64 (pow.f64 (/.f64 y x) 3) (/.f64 y x))))
(.f64 (+.f64 (.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 -500 (/.f64 (/.f64 y x) x) (/.f64 500 x)))
(/.f64 500 x)
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (.f64 500 (/.f64 1 x)))
(fma.f64 -500 (/.f64 y (*.f64 x x)) (/.f64 500 x))
(fma.f64 -500 (/.f64 (/.f64 y x) x) (/.f64 500 x))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (*.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(fma.f64 -500 (/.f64 y (.f64 x x)) (+.f64 (/.f64 500 x) (.f64 500 (/.f64 (*.f64 y y) (pow.f64 x 3)))))
(fma.f64 -500 (/.f64 y (.f64 x x)) (fma.f64 500 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 500 x)))
(+.f64 (/.f64 500 x) (.f64 (/.f64 (/.f64 y x) x) (+.f64 -500 (.f64 500 (/.f64 y x)))))
(+.f64 (.f64 -500 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 500 (/.f64 1 x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (.f64 500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(+.f64 (fma.f64 -500 (/.f64 y (.f64 x x)) (/.f64 500 x)) (fma.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 500 (/.f64 (*.f64 y y) (pow.f64 x 3)))))
(fma.f64 -500 (/.f64 y (.f64 x x)) (fma.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 500 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 500 x))))
(fma.f64 500 (fma.f64 (/.f64 y (pow.f64 x 3)) y (/.f64 1 x)) (*.f64 (/.f64 -500 x) (+.f64 (pow.f64 (/.f64 y x) 3) (/.f64 y x))))
(.f64 (+.f64 (.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 -500 (/.f64 (/.f64 y x) x) (/.f64 500 x)))
(/.f64 500 y)
(+.f64 (.f64 500 (/.f64 1 y)) (.f64 -500 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 500 y) (.f64 -500 (/.f64 x (.f64 y y))))
(fma.f64 -500 (/.f64 x (*.f64 y y)) (/.f64 500 y))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (*.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (/.f64 500 y) (fma.f64 -500 (/.f64 x (.f64 y y)) (.f64 500 (/.f64 (*.f64 x x) (pow.f64 y 3)))))
(+.f64 (/.f64 500 y) (fma.f64 500 (/.f64 x (/.f64 (pow.f64 y 3) x)) (.f64 -500 (/.f64 x (.f64 y y)))))
(fma.f64 -500 (/.f64 x (.f64 y y)) (fma.f64 500 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 500 y)))
(+.f64 (/.f64 500 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -500 (*.f64 500 (/.f64 x y)))))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(+.f64 (/.f64 500 y) (fma.f64 -500 (/.f64 x (.f64 y y)) (fma.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (.f64 500 (/.f64 (*.f64 x x) (pow.f64 y 3))))))
(+.f64 (fma.f64 -500 (/.f64 x (.f64 y y)) (/.f64 500 y)) (fma.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (.f64 500 (/.f64 x (/.f64 (pow.f64 y 3) x)))))
(fma.f64 -500 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 500 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 500 y)))
(fma.f64 500 (fma.f64 (/.f64 x (pow.f64 y 3)) x (/.f64 1 y)) (*.f64 (/.f64 -500 y) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (fma.f64 -500 (/.f64 x (.f64 y y)) (/.f64 500 y)))
(/.f64 500 y)
(+.f64 (.f64 500 (/.f64 1 y)) (.f64 -500 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 500 y) (.f64 -500 (/.f64 x (.f64 y y))))
(fma.f64 -500 (/.f64 x (*.f64 y y)) (/.f64 500 y))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (*.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (/.f64 500 y) (fma.f64 -500 (/.f64 x (.f64 y y)) (.f64 500 (/.f64 (*.f64 x x) (pow.f64 y 3)))))
(+.f64 (/.f64 500 y) (fma.f64 500 (/.f64 x (/.f64 (pow.f64 y 3) x)) (.f64 -500 (/.f64 x (.f64 y y)))))
(fma.f64 -500 (/.f64 x (.f64 y y)) (fma.f64 500 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 500 y)))
(+.f64 (/.f64 500 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -500 (*.f64 500 (/.f64 x y)))))
(+.f64 (.f64 500 (/.f64 1 y)) (+.f64 (.f64 -500 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(+.f64 (/.f64 500 y) (fma.f64 -500 (/.f64 x (.f64 y y)) (fma.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (.f64 500 (/.f64 (*.f64 x x) (pow.f64 y 3))))))
(+.f64 (fma.f64 -500 (/.f64 x (.f64 y y)) (/.f64 500 y)) (fma.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (.f64 500 (/.f64 x (/.f64 (pow.f64 y 3) x)))))
(fma.f64 -500 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 500 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 500 y)))
(fma.f64 500 (fma.f64 (/.f64 x (pow.f64 y 3)) x (/.f64 1 y)) (*.f64 (/.f64 -500 y) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (fma.f64 -500 (/.f64 x (.f64 y y)) (/.f64 500 y)))

localize19.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) 500)
✓	19.9b	(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))

Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
0.0ms	y	@	inf	(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
0.0ms	y	@	-inf	(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
0.0ms	x	@	inf	(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
0.0ms	x	@	0	(.f64 (.f64 x x) 500)

rewrite110.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`prod-diff_binary64`
473×	`log-prod_binary64`
355×	`exp-prod_binary64`
292×	`pow-prod-down_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	180	20
2	2609	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
(.f64 (.f64 x x) 500)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 500) (/.f64 (*.f64 x x) (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 500) (/.f64 (*.f64 x x) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 500) (/.f64 (*.f64 x x) (+.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 500) (/.f64 (*.f64 x x) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 500) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 500 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 500)) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))) 4)) (cbrt.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 250000)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 500))) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))) (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 500)) (*.f64 (*.f64 x (sqrt.f64 500)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -500) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (*.f64 x (*.f64 x 500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 500) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 500 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 x y)) 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 250000)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 500))) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 500)) 1) (/.f64 (*.f64 x (sqrt.f64 500)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (*.f64 x 500) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 500 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (*.f64 x (*.f64 x 500)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 250000)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 500)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (*.f64 x (sqrt.f64 500)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (/.f64 (*.f64 x 500) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x y))) (/.f64 500 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (sqrt.f64 (+.f64 x y))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 (*.f64 x (*.f64 x 500)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 250000)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 500))) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 500)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 500)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (*.f64 (+.f64 x y) 1/500)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 500)) 6) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (+.f64 x y) 1/500)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))))) 2)) (cbrt.f64 (log.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))))) (sqrt.f64 (log.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 500)) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500) (/.f64 (*.f64 x x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 500)) 6) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/500)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (*.f64 (+.f64 x y) 1/500))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 500 (/.f64 (*.f64 x x) (+.f64 x y)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 500)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 500))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 500)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 500)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 250000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 500)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 500))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 500)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 2 (log.f64 x) (log.f64 500)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 500))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 500))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 500)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 500))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 500)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 500)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 500))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 500))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 500)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 500)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 500)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 500)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 500))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 500)) 1) 1))))))

simplify84.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

758×	`distribute-lft-out_binary64`
645×	`distribute-rgt-out_binary64`
612×	`fma-def_binary64`
552×	`associate-/r*_binary64`
425×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	43	618
1	124	618
2	339	606
3	1158	564
4	5758	540
5	7270	537

Stop Event

1×	node limit

Counts

123 → 104

Calls

Call 1

Inputs
(*.f64 500 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 500 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (*.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (*.f64 500 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 500 (/.f64 (pow.f64 y 2) x)))))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (*.f64 500 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 500 (/.f64 (pow.f64 y 2) x)))))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (*.f64 500 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 500 (/.f64 (pow.f64 y 2) x)))))
(*.f64 500 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 500 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (*.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 500 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 500 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (*.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (pow.f64 x 2))

Outputs
(*.f64 500 (/.f64 (pow.f64 x 2) y))
(.f64 500 (/.f64 (.f64 x x) y))
(*.f64 500 (/.f64 x (/.f64 y x)))
(.f64 500 (.f64 (/.f64 x y) x))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 500 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 500 (/.f64 (*.f64 x x) y)))
(fma.f64 500 (/.f64 x (/.f64 y x)) (/.f64 (.f64 -500 (pow.f64 x 3)) (.f64 y y)))
(fma.f64 500 (.f64 (/.f64 x y) x) (.f64 -500 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 500 (*.f64 -500 (/.f64 x y))))
(.f64 x (.f64 (/.f64 x y) (+.f64 500 (*.f64 -500 (/.f64 x y)))))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (*.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 500 (+.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 500 (+.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (/.f64 (.f64 -500 (pow.f64 x 3)) (.f64 y y)))
(fma.f64 500 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -500 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 (.f64 x x) y) (+.f64 500 (*.f64 -500 (/.f64 x y)))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 (.f64 (/.f64 x y) (+.f64 -500 (.f64 500 (/.f64 x y)))) 500))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 500 (/.f64 (.f64 x x) y) (fma.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 500 (/.f64 x (/.f64 y x)) (fma.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 500 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))
(fma.f64 500 (fma.f64 (/.f64 x y) x (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 (/.f64 (/.f64 -500 y) y) (+.f64 (/.f64 (pow.f64 x 5) (.f64 y y)) (pow.f64 x 3))))
(fma.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) y) (+.f64 (.f64 (/.f64 x y) (+.f64 -500 (.f64 500 (/.f64 x y)))) 500)))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 y -500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (*.f64 500 (/.f64 (pow.f64 y 2) x))))
(fma.f64 500 x (fma.f64 -500 y (.f64 500 (/.f64 (.f64 y y) x))))
(fma.f64 500 x (fma.f64 500 (/.f64 y (/.f64 x y)) (*.f64 y -500)))
(fma.f64 y -500 (.f64 500 (+.f64 (.f64 (/.f64 y x) y) x)))
(fma.f64 500 (fma.f64 (/.f64 y x) y x) (*.f64 y -500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 500 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 500 x (fma.f64 -500 y (fma.f64 -500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 500 (/.f64 (*.f64 y y) x)))))
(fma.f64 500 x (fma.f64 y -500 (fma.f64 500 (/.f64 y (/.f64 x y)) (/.f64 (.f64 -500 (pow.f64 y 3)) (.f64 x x)))))
(fma.f64 -500 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x))) (.f64 500 (+.f64 (*.f64 (/.f64 y x) y) x)))
(fma.f64 500 (fma.f64 (/.f64 y x) y x) (.f64 -500 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(fma.f64 500 x (.f64 y (+.f64 -500 (.f64 (/.f64 y x) (+.f64 500 (/.f64 (*.f64 y -500) x))))))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 y -500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (*.f64 500 (/.f64 (pow.f64 y 2) x))))
(fma.f64 500 x (fma.f64 -500 y (.f64 500 (/.f64 (.f64 y y) x))))
(fma.f64 500 x (fma.f64 500 (/.f64 y (/.f64 x y)) (*.f64 y -500)))
(fma.f64 y -500 (.f64 500 (+.f64 (.f64 (/.f64 y x) y) x)))
(fma.f64 500 (fma.f64 (/.f64 y x) y x) (*.f64 y -500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 500 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 500 x (fma.f64 -500 y (fma.f64 -500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 500 (/.f64 (*.f64 y y) x)))))
(fma.f64 500 x (fma.f64 y -500 (fma.f64 500 (/.f64 y (/.f64 x y)) (/.f64 (.f64 -500 (pow.f64 y 3)) (.f64 x x)))))
(fma.f64 -500 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x))) (.f64 500 (+.f64 (*.f64 (/.f64 y x) y) x)))
(fma.f64 500 (fma.f64 (/.f64 y x) y x) (.f64 -500 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(fma.f64 500 x (.f64 y (+.f64 -500 (.f64 (/.f64 y x) (+.f64 500 (/.f64 (*.f64 y -500) x))))))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 y -500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (*.f64 500 (/.f64 (pow.f64 y 2) x))))
(fma.f64 500 x (fma.f64 -500 y (.f64 500 (/.f64 (.f64 y y) x))))
(fma.f64 500 x (fma.f64 500 (/.f64 y (/.f64 x y)) (*.f64 y -500)))
(fma.f64 y -500 (.f64 500 (+.f64 (.f64 (/.f64 y x) y) x)))
(fma.f64 500 (fma.f64 (/.f64 y x) y x) (*.f64 y -500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 y) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 500 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 500 x (fma.f64 -500 y (fma.f64 -500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 500 (/.f64 (*.f64 y y) x)))))
(fma.f64 500 x (fma.f64 y -500 (fma.f64 500 (/.f64 y (/.f64 x y)) (/.f64 (.f64 -500 (pow.f64 y 3)) (.f64 x x)))))
(fma.f64 -500 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x))) (.f64 500 (+.f64 (*.f64 (/.f64 y x) y) x)))
(fma.f64 500 (fma.f64 (/.f64 y x) y x) (.f64 -500 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(fma.f64 500 x (.f64 y (+.f64 -500 (.f64 (/.f64 y x) (+.f64 500 (/.f64 (*.f64 y -500) x))))))
(*.f64 500 (/.f64 (pow.f64 x 2) y))
(.f64 500 (/.f64 (.f64 x x) y))
(*.f64 500 (/.f64 x (/.f64 y x)))
(.f64 500 (.f64 (/.f64 x y) x))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 500 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 500 (/.f64 (*.f64 x x) y)))
(fma.f64 500 (/.f64 x (/.f64 y x)) (/.f64 (.f64 -500 (pow.f64 x 3)) (.f64 y y)))
(fma.f64 500 (.f64 (/.f64 x y) x) (.f64 -500 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 500 (*.f64 -500 (/.f64 x y))))
(.f64 x (.f64 (/.f64 x y) (+.f64 500 (*.f64 -500 (/.f64 x y)))))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (*.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 500 (+.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 500 (+.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (/.f64 (.f64 -500 (pow.f64 x 3)) (.f64 y y)))
(fma.f64 500 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -500 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 (.f64 x x) y) (+.f64 500 (*.f64 -500 (/.f64 x y)))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 (.f64 (/.f64 x y) (+.f64 -500 (.f64 500 (/.f64 x y)))) 500))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 500 (/.f64 (.f64 x x) y) (fma.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 500 (/.f64 x (/.f64 y x)) (fma.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 500 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))
(fma.f64 500 (fma.f64 (/.f64 x y) x (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 (/.f64 (/.f64 -500 y) y) (+.f64 (/.f64 (pow.f64 x 5) (.f64 y y)) (pow.f64 x 3))))
(fma.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) y) (+.f64 (.f64 (/.f64 x y) (+.f64 -500 (.f64 500 (/.f64 x y)))) 500)))
(*.f64 500 (/.f64 (pow.f64 x 2) y))
(.f64 500 (/.f64 (.f64 x x) y))
(*.f64 500 (/.f64 x (/.f64 y x)))
(.f64 500 (.f64 (/.f64 x y) x))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 500 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 500 (/.f64 (*.f64 x x) y)))
(fma.f64 500 (/.f64 x (/.f64 y x)) (/.f64 (.f64 -500 (pow.f64 x 3)) (.f64 y y)))
(fma.f64 500 (.f64 (/.f64 x y) x) (.f64 -500 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 500 (*.f64 -500 (/.f64 x y))))
(.f64 x (.f64 (/.f64 x y) (+.f64 500 (*.f64 -500 (/.f64 x y)))))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (*.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 500 (+.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 500 (+.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (/.f64 (.f64 -500 (pow.f64 x 3)) (.f64 y y)))
(fma.f64 500 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -500 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 (.f64 x x) y) (+.f64 500 (*.f64 -500 (/.f64 x y)))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 (.f64 (/.f64 x y) (+.f64 -500 (.f64 500 (/.f64 x y)))) 500))
(+.f64 (.f64 -500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 500 (/.f64 (.f64 x x) y) (fma.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 500 (/.f64 x (/.f64 y x)) (fma.f64 500 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 -500 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 500 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))
(fma.f64 500 (fma.f64 (/.f64 x y) x (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 (/.f64 (/.f64 -500 y) y) (+.f64 (/.f64 (pow.f64 x 5) (.f64 y y)) (pow.f64 x 3))))
(fma.f64 -500 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) y) (+.f64 (.f64 (/.f64 x y) (+.f64 -500 (.f64 500 (/.f64 x y)))) 500)))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))

eval274.0ms (7.1%)

Compiler: Compiled 9901 to 3967 computations (59.9% saved)

prune269.0ms (7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	446	1	447
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	447	7	454

Error

Counts

454 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.2b	(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))
✓	0.0b	(fma.f64 -500 y (*.f64 500 x))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	48.0b	(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
✓	30.5b	(*.f64 500 x)
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	32.1b	(*.f64 -500 y)

Compiler

Compiled 59 to 43 computations (27.1% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 500 (+.f64 x y))
✓	17.0b	(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))

Compiler

Compiled 38 to 16 computations (57.9% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))
1.0ms	y	@	-inf	(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))
1.0ms	x	@	inf	(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))
1.0ms	y	@	inf	(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))
0.0ms	x	@	-inf	(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))

rewrite129.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`prod-diff_binary64`
444×	`log-prod_binary64`
242×	`pow2_binary64`
194×	`fma-def_binary64`
171×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	248	13
2	3278	13

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (/.f64 -500 (-.f64 y x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (/.f64 -500 (-.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (/.f64 -500 (-.f64 y x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (/.f64 -500 (-.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 1 y) (/.f64 (-.f64 y x) -500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 (-.f64 y x) -500) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (/.f64 (-.f64 y x) -500))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (*.f64 -1 (/.f64 (-.f64 y x) -500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 y x) -500) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 y x) -500) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 y -2) (/.f64 (-.f64 y x) -500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (-.f64 y x) -500) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y x) (*.f64 y (*.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 500 (*.f64 (pow.f64 y -2) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 500 (*.f64 (+.f64 y x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -500 (-.f64 y x)) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x)))) 4)) (/.f64 1 (cbrt.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x)))) (/.f64 1 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -500 (*.f64 (pow.f64 y -2) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -500 (*.f64 (-.f64 y x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 y 500)) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 y 500)) (*.f64 (+.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 y 500)) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 500) (*.f64 (/.f64 1 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -500) (*.f64 (/.f64 1 y) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y y) -500) (*.f64 -1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y y) -500) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 y) (*.f64 (+.f64 y x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -500 y) (*.f64 (-.f64 y x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -500 (*.f64 y y)) (*.f64 (-.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -500 (*.f64 y y)) (*.f64 (-.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -500 (*.f64 y y)) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 y 500)) (cbrt.f64 (pow.f64 (+.f64 y x) 2))) (cbrt.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 y 500)) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 -500 (-.f64 y x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -500 (-.f64 y x)) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 6) (pow.f64 (/.f64 -500 (-.f64 y x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 -500 (-.f64 y x)) 3) (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -2) (/.f64 (-.f64 y x) -500)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 y x) -500) (pow.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x)))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) (*.f64 y (*.f64 y 500))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y (/.f64 -500 (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 (/.f64 -500 (-.f64 y x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 6) (pow.f64 (/.f64 -500 (-.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -500 (-.f64 y x)) 3) (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y (/.f64 -500 (-.f64 y x))))) 1))))))

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

699×	`distribute-lft-out_binary64`
628×	`fma-def_binary64`
618×	`distribute-rgt-out_binary64`
546×	`associate-/r*_binary64`
420×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	42	531
1	124	525
2	339	519
3	1169	480
4	5713	456
5	7163	453

Stop Event

1×	node limit

Counts

86 → 77

Calls

Call 1

Inputs
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))

Outputs
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(.f64 -500 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -500 (.f64 y y)) x)
(/.f64 (.f64 y (.f64 -500 y)) x)
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (/.f64 (*.f64 y y) x)))
(fma.f64 -500 (/.f64 (.f64 y y) x) (/.f64 500 (/.f64 (.f64 x x) (pow.f64 y 3))))
(fma.f64 -500 (.f64 (/.f64 y x) y) (.f64 500 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y 500) x) -500))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -500 (/.f64 (*.f64 y 500) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -500 (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 500 (/.f64 (.f64 x x) (pow.f64 y 3))))
(fma.f64 -500 (+.f64 (.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 (/.f64 -500 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y 500) x) -500)))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (/.f64 (.f64 y y) x) (fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(fma.f64 -500 (+.f64 (.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (+.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y 500) x) -500))))
(fma.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500)))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(fma.f64 500 x (.f64 -500 (+.f64 (/.f64 (.f64 x x) y) y)))
(fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (*.f64 x 500))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 x 500))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 500 x (fma.f64 -500 (/.f64 (.f64 x x) y) (fma.f64 -500 y (.f64 500 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 x 500 (fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (.f64 500 (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 500 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x)))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (.f64 500 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 y (.f64 x (+.f64 500 (.f64 (/.f64 x y) (+.f64 -500 (/.f64 (*.f64 x 500) y))))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(fma.f64 500 x (.f64 -500 (+.f64 (/.f64 (.f64 x x) y) y)))
(fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (*.f64 x 500))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 x 500))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 500 x (fma.f64 -500 (/.f64 (.f64 x x) y) (fma.f64 -500 y (.f64 500 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 x 500 (fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (.f64 500 (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 500 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x)))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (.f64 500 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 y (.f64 x (+.f64 500 (.f64 (/.f64 x y) (+.f64 -500 (/.f64 (*.f64 x 500) y))))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(fma.f64 500 x (.f64 -500 (+.f64 (/.f64 (.f64 x x) y) y)))
(fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (*.f64 x 500))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 x 500))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 500 x (fma.f64 -500 (/.f64 (.f64 x x) y) (fma.f64 -500 y (.f64 500 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 x 500 (fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (.f64 500 (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 500 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x)))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (.f64 500 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 y (.f64 x (+.f64 500 (.f64 (/.f64 x y) (+.f64 -500 (/.f64 (*.f64 x 500) y))))))
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(.f64 -500 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -500 (.f64 y y)) x)
(/.f64 (.f64 y (.f64 -500 y)) x)
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (/.f64 (*.f64 y y) x)))
(fma.f64 -500 (/.f64 (.f64 y y) x) (/.f64 500 (/.f64 (.f64 x x) (pow.f64 y 3))))
(fma.f64 -500 (.f64 (/.f64 y x) y) (.f64 500 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y 500) x) -500))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -500 (/.f64 (*.f64 y 500) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -500 (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 500 (/.f64 (.f64 x x) (pow.f64 y 3))))
(fma.f64 -500 (+.f64 (.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 (/.f64 -500 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y 500) x) -500)))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (/.f64 (.f64 y y) x) (fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(fma.f64 -500 (+.f64 (.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (+.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y 500) x) -500))))
(fma.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500)))))
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(.f64 -500 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -500 (.f64 y y)) x)
(/.f64 (.f64 y (.f64 -500 y)) x)
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (/.f64 (*.f64 y y) x)))
(fma.f64 -500 (/.f64 (.f64 y y) x) (/.f64 500 (/.f64 (.f64 x x) (pow.f64 y 3))))
(fma.f64 -500 (.f64 (/.f64 y x) y) (.f64 500 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y 500) x) -500))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -500 (/.f64 (*.f64 y 500) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -500 (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 500 (/.f64 (.f64 x x) (pow.f64 y 3))))
(fma.f64 -500 (+.f64 (.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 (/.f64 -500 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y 500) x) -500)))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (/.f64 (.f64 y y) x) (fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(fma.f64 -500 (+.f64 (.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (+.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y 500) x) -500))))
(fma.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500)))))

eval64.0ms (1.6%)

Compiler: Compiled 1803 to 1035 computations (42.6% saved)

prune22.0ms (0.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	120	7	127

Error

Counts

127 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	32.1b	(/.f64 (*.f64 (/.f64 -500 (-.f64 y x)) y) (/.f64 1 y))
	46.8b	(/.f64 (*.f64 y y) (/.f64 (-.f64 y x) -500))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	48.0b	(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
✓	30.5b	(*.f64 500 x)
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	32.1b	(*.f64 -500 y)

Compiler

Compiled 61 to 43 computations (29.5% saved)

regimes78.0ms (2%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 (-.f64 x y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(/.f64 (*.f64 y y) (/.f64 (-.f64 y x) -500))
(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
(/.f64 (*.f64 (/.f64 -500 (-.f64 y x)) y) (/.f64 1 y))
(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))
(fma.f64 -500 y (*.f64 500 x))

Outputs
(fma.f64 -500 y (*.f64 500 x))

Calls

4 calls:

52.0ms	x
7.0ms	(-.f64 x y)
7.0ms	y
7.0ms	(*.f64 500 (-.f64 x y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 500 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 113 to 62 computations (45.1% saved)

regimes182.0ms (4.7%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 (-.f64 x y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(/.f64 (*.f64 y y) (/.f64 (-.f64 y x) -500))
(/.f64 (.f64 (.f64 x x) 500) (+.f64 x y))
(/.f64 (*.f64 (/.f64 -500 (-.f64 y x)) y) (/.f64 1 y))
(.f64 (/.f64 (.f64 y (neg.f64 y)) 1) (/.f64 500 (+.f64 x y)))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))

Outputs
(*.f64 500 (-.f64 x y))

Calls

4 calls:

154.0ms	x
11.0ms	(*.f64 500 (-.f64 x y))
7.0ms	(-.f64 x y)
7.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 500 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 107 to 58 computations (45.8% saved)

regimes32.0ms (0.8%)

Accuracy

Total -50.3b remaining (-433.8%)

Threshold costs -50.3b (-433.8%)

Counts

2 → 5

Calls

Call 1

Inputs
(*.f64 500 x)
(*.f64 -500 y)

Outputs
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 x)

Calls

2 calls:

16.0ms	y
15.0ms	x

Results

Error	Segments	Branch
11.6b	5	`x`
14.5b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch62.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	13268111000.88214	3177616344010.5835
18.0ms	-1.3947860810472575e-53	-3.007749616177827e-54
16.0ms	-8.785330765823975e+22	-832160714395537900.0
14.0ms	-6.278094753413382e+67	-3.269042766469027e+60

Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	28	63
2	33	63
3	35	63
4	36	63

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 (-.f64 x y))
(if (<=.f64 x -62780947534133821295768086044625454219105829799398414782453637971968) (.f64 500 x) (if (<=.f64 x -87853307658239748341760) (.f64 -500 y) (if (<=.f64 x -3008268668569449/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 500 x) (if (<=.f64 x 6956311380430495/524288) (.f64 -500 y) (*.f64 500 x)))))
(*.f64 500 x)

Outputs
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 (-.f64 x y))
(if (<=.f64 x -62780947534133821295768086044625454219105829799398414782453637971968) (.f64 500 x) (if (<=.f64 x -87853307658239748341760) (.f64 -500 y) (if (<=.f64 x -3008268668569449/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 500 x) (if (<=.f64 x 6956311380430495/524288) (.f64 -500 y) (*.f64 500 x)))))
(*.f64 500 x)

Compiler

Compiled 53 to 39 computations (26.4% saved)

soundness11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	12	168
2	15	168

Stop Event

1×

saturated

Compiler

Compiled 26 to 20 computations (23.1% saved)

end38.0ms (1%)

Compiler: Compiled 47 to 33 computations (29.8% saved)

Details

analyze88.0ms (2.3%)

sample988.0ms (25.6%)

preprocess28.0ms (0.7%)

simplify347.0ms (9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite50.0ms (1.3%)

simplify10.0ms (0.2%)

eval4.0ms (0.1%)

prune20.0ms (0.5%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite66.0ms (1.7%)

simplify10.0ms (0.3%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite94.0ms (2.4%)

simplify22.0ms (0.6%)

localize12.0ms (0.3%)

series9.0ms (0.2%)

rewrite136.0ms (3.5%)

simplify81.0ms (2.1%)

eval147.0ms (3.8%)

prune59.0ms (1.5%)

localize17.0ms (0.4%)

series7.0ms (0.2%)

rewrite95.0ms (2.5%)

simplify63.0ms (1.6%)

localize19.0ms (0.5%)

series4.0ms (0.1%)

rewrite110.0ms (2.9%)

simplify84.0ms (2.2%)

eval274.0ms (7.1%)

prune269.0ms (7%)

localize13.0ms (0.3%)

series4.0ms (0.1%)

rewrite129.0ms (3.3%)

simplify73.0ms (1.9%)

eval64.0ms (1.6%)

prune22.0ms (0.6%)

regimes78.0ms (2%)

regimes182.0ms (4.7%)

regimes32.0ms (0.8%)

bsearch62.0ms (1.6%)

simplify6.0ms (0.2%)

soundness11.0ms (0.3%)

end38.0ms (1%)

Profiling