Details

analyze55.0ms (1.9%)

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)

sample779.0ms (27.1%)

Results

738.0ms	8142×	body	256	valid
11.0ms	41×	body	2048	valid
7.0ms	37×	body	1024	valid
5.0ms	65×	body	256	infinite
5.0ms	36×	body	512	valid

Bogosity

preprocess53.0ms (1.8%)

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 200 (-.f64 x y))
(*.f64 200 (-.f64 y x))

Outputs
(*.f64 200 (-.f64 x y))
(*.f64 200 (-.f64 y x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify25.0ms (0.9%)

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 200 (-.f64 x y))

Outputs
(*.f64 200 (-.f64 x y))

eval0.0ms (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 200 (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 200 (-.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 200 (-.f64 x y))
1.0ms	y	@	inf	(*.f64 200 (-.f64 x y))
1.0ms	x	@	0	(*.f64 200 (-.f64 x y))
0.0ms	x	@	-inf	(*.f64 200 (-.f64 x y))
0.0ms	y	@	-inf	(*.f64 200 (-.f64 x y))

rewrite56.0ms (1.9%)

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 200 (-.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 200) (.f64 (neg.f64 y) 200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 200 x) (.f64 200 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 200 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 200) (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)) 200) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 200 (-.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 200 (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 200 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 200 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 200 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 200 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (-.f64 x y) 2) 40000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 200) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 200 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 200 (-.f64 x y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 200) (*.f64 (neg.f64 y) 200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 x) (*.f64 200 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 200 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 200) (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)) 200) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 200 (-.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 200 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 200 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 40000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 200) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 200 (-.f64 x y))))))))

simplify10.0ms (0.4%)

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	9	168
1	13	168
2	15	168

Stop Event

1×

saturated

Counts

41 → 22

Calls

Call 1

Inputs
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))

Outputs
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))

eval4.0ms (0.1%)

Compiler: Compiled 191 to 112 computations (41.4% saved)

prune5.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Error

0.0b

Counts

23 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.2b	(*.f64 -200 y)
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	32.9b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
▶	33.5b	(*.f64 200 x)
▶	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.2%)

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

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (.f64 200 x) (.f64 -200 y))
0.0ms	y	@	0	(+.f64 (.f64 200 x) (.f64 -200 y))
0.0ms	x	@	inf	(+.f64 (.f64 200 x) (.f64 -200 y))
0.0ms	y	@	inf	(+.f64 (.f64 200 x) (.f64 -200 y))
0.0ms	y	@	-inf	(+.f64 (.f64 200 x) (.f64 -200 y))

rewrite69.0ms (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 200 x) (.f64 -200 y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 200 x (.f64 -200 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 200 x) 2) (+.f64 (.f64 200 x) (.f64 200 y))) (/.f64 (pow.f64 (.f64 -200 y) 2) (+.f64 (.f64 200 x) (.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 200 x (.f64 -200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 200 x (.f64 -200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 200 x (.f64 -200 y))) (pow.f64 (cbrt.f64 (fma.f64 200 x (.f64 -200 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 200 x (.f64 -200 y))) 2) (cbrt.f64 (fma.f64 200 x (.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 200 x (.f64 -200 y))) (sqrt.f64 (fma.f64 200 x (.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 8000000 (pow.f64 x 3)) (.f64 -8000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 200 x) 2) (.f64 (.f64 -200 y) (-.f64 (.f64 -200 y) (.f64 200 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 200 x) 2) (pow.f64 (.f64 -200 y) 2)) (/.f64 1 (+.f64 (.f64 200 x) (.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 200 x) 2) (.f64 (.f64 -200 y) (-.f64 (.f64 -200 y) (.f64 200 x)))) (+.f64 (.f64 8000000 (pow.f64 x 3)) (.f64 -8000000 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 200 x) (.f64 200 y)) (-.f64 (pow.f64 (.f64 200 x) 2) (pow.f64 (.f64 -200 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 8000000 (pow.f64 x 3)) (.f64 -8000000 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 200 x) 2) (.f64 (.f64 -200 y) (-.f64 (.f64 -200 y) (.f64 200 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 8000000 (pow.f64 x 3)) (.f64 -8000000 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 -200 y) 2) (-.f64 (pow.f64 (.f64 200 x) 2) (.f64 200 (.f64 x (.f64 -200 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 200 x) 2) (pow.f64 (.f64 -200 y) 2)) (+.f64 (.f64 200 x) (.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 8000000 (pow.f64 x 3)) (.f64 -8000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 200 x) 2) (.f64 (.f64 -200 y) (-.f64 (.f64 -200 y) (.f64 200 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 200 x) 2) (pow.f64 (.f64 -200 y) 2))) (neg.f64 (+.f64 (.f64 200 x) (.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 -200 y) 2) (pow.f64 (.f64 200 x) 2)) (-.f64 (.f64 -200 y) (.f64 200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 200 x (.f64 -200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 200 x (.f64 -200 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 200 x (.f64 -200 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 200 x (.f64 -200 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 200 x (.f64 -200 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 200 x (.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 200 x (.f64 -200 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 200 x (.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 200 x (.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 200 x (.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 200 x (.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 200 (.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -200 y (.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -200 (.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 200 x) (.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -200 y) (.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 -200 y)) 2) (cbrt.f64 (.f64 -200 y)) (.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 200 x)) 2) (cbrt.f64 (.f64 200 x)) (.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -200 y)) (sqrt.f64 (.f64 -200 y)) (.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 200 x)) (sqrt.f64 (.f64 200 x)) (*.f64 -200 y))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 200 x (*.f64 -200 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 200 x) 2) (+.f64 (*.f64 200 x) (*.f64 200 y))) (/.f64 (pow.f64 (*.f64 -200 y) 2) (+.f64 (*.f64 200 x) (*.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 200 x (*.f64 -200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 200 x (*.f64 -200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 200 x (*.f64 -200 y))) (pow.f64 (cbrt.f64 (fma.f64 200 x (*.f64 -200 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 200 x (*.f64 -200 y))) 2) (cbrt.f64 (fma.f64 200 x (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 200 x (*.f64 -200 y))) (sqrt.f64 (fma.f64 200 x (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8000000 (pow.f64 x 3)) (*.f64 -8000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 200 x) 2) (*.f64 (*.f64 -200 y) (-.f64 (*.f64 -200 y) (*.f64 200 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 200 x) 2) (pow.f64 (*.f64 -200 y) 2)) (/.f64 1 (+.f64 (*.f64 200 x) (*.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 200 x) 2) (*.f64 (*.f64 -200 y) (-.f64 (*.f64 -200 y) (*.f64 200 x)))) (+.f64 (*.f64 8000000 (pow.f64 x 3)) (*.f64 -8000000 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 200 x) (*.f64 200 y)) (-.f64 (pow.f64 (*.f64 200 x) 2) (pow.f64 (*.f64 -200 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8000000 (pow.f64 x 3)) (*.f64 -8000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 200 x) 2) (*.f64 (*.f64 -200 y) (-.f64 (*.f64 -200 y) (*.f64 200 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8000000 (pow.f64 x 3)) (*.f64 -8000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 -200 y) 2) (-.f64 (pow.f64 (*.f64 200 x) 2) (*.f64 200 (*.f64 x (*.f64 -200 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 200 x) 2) (pow.f64 (*.f64 -200 y) 2)) (+.f64 (*.f64 200 x) (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8000000 (pow.f64 x 3)) (*.f64 -8000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 200 x) 2) (*.f64 (*.f64 -200 y) (-.f64 (*.f64 -200 y) (*.f64 200 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 200 x) 2) (pow.f64 (*.f64 -200 y) 2))) (neg.f64 (+.f64 (*.f64 200 x) (*.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -200 y) 2) (pow.f64 (*.f64 200 x) 2)) (-.f64 (*.f64 -200 y) (*.f64 200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 200 x (*.f64 -200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 200 x (*.f64 -200 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 200 x (*.f64 -200 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 200 x (*.f64 -200 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 200 x (*.f64 -200 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 200 x (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 200 x (*.f64 -200 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 200 x (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 200 x (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 200 x (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 200 x (*.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 200 (*.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -200 y (*.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -200 (*.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 200 x) (*.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -200 y) (*.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -200 y)) 2) (cbrt.f64 (*.f64 -200 y)) (*.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 200 x)) 2) (cbrt.f64 (*.f64 200 x)) (*.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -200 y)) (sqrt.f64 (*.f64 -200 y)) (*.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 200 x)) (sqrt.f64 (*.f64 200 x)) (*.f64 -200 y))))))

simplify8.0ms (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	96
1	12	96
2	15	96

Stop Event

1×

saturated

Counts

52 → 40

Calls

Call 1

Inputs
(*.f64 -200 y)
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 -200 y)
(*.f64 -200 y)

Outputs
(*.f64 -200 y)
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 -200 y)
(*.f64 -200 y)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200)
✓	4.0b	(-.f64 (.f64 x x) (.f64 y y))
✓	30.7b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))

Compiler

Compiled 43 to 12 computations (72.1% saved)

series9.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))

rewrite94.0ms (3.3%)

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)) 200) (+.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 200 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 200 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 200 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 200 (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 200 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 200 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) 1/200)) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (*.f64 (+.f64 x y) 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 200 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 200 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 200 (*.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)) 200) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 200 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 200 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2) (cbrt.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) (/.f64 1 (+.f64 x y))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) (*.f64 200 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 200) (*.f64 (*.f64 y (neg.f64 y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 (*.f64 x x)) (*.f64 200 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 200 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 200 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 200 (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 200 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) 200) (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 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 200) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 200 (-.f64 (pow.f64 x 6) (pow.f64 y 6))) (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 200 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 200 (*.f64 (*.f64 y (neg.f64 y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200 (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200 (*.f64 200 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 200 (*.f64 x x) (*.f64 200 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 200 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 200 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 200 (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)) 200) 1 (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 1 (*.f64 200 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) (*.f64 200 (-.f64 x y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) (*.f64 200 (-.f64 x y)) (*.f64 200 (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)) 200) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) (*.f64 200 (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)) 200)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 2)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 2)) (*.f64 200 (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)) 200) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) (*.f64 200 (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))) 200) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(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))) 200) (*.f64 200 (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)) 200)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200)) (*.f64 200 (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)))) 200) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(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)))) 200) (*.f64 200 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 200 (+.f64 x y)) (-.f64 x y) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 200 (+.f64 x y)) (-.f64 x y) (*.f64 200 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 200 (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)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 200 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 200 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 200 (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)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 200 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 200 (fma.f64 y (neg.f64 y) (*.f64 y y))))))))

simplify82.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	690
1	38	672
2	68	672
3	132	672
4	353	672
5	1144	672
6	2252	672
7	5703	672

Stop Event

1×	node limit

Counts

344 → 289

Calls

Call 1

Inputs
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 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 -200 (pow.f64 y 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 200 (pow.f64 x 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 200 (pow.f64 x 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 200 (pow.f64 x 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 -200 (pow.f64 y 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 -200 (pow.f64 y 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))

Outputs
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 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))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.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))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.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))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.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))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.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))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.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))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(.f64 x (.f64 200 x))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(.f64 x (.f64 200 x))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(.f64 x (.f64 200 x))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))

eval83.0ms (2.9%)

Compiler: Compiled 6756 to 2537 computations (62.4% saved)

prune53.0ms (1.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	326	3	329
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	327	7	334

Error

Counts

334 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.0b	(/.f64 (.f64 (.f64 x x) 200) (+.f64 x y))
✓	29.2b	(*.f64 -200 y)
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	32.8b	(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 200 (+.f64 x y)))
▶	0b	(fma.f64 x 200 (*.f64 -200 y))
✓	33.5b	(*.f64 200 x)
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))

Compiler

Compiled 62 to 44 computations (29% saved)

localize32.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 200 (+.f64 x y))
	4.0b	(-.f64 (.f64 x x) (.f64 y y))
✓	30.8b	(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 200 (+.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	y	@	0	(/.f64 200 (+.f64 x y))
1.0ms	x	@	0	(/.f64 200 (+.f64 x y))
1.0ms	x	@	inf	(/.f64 200 (+.f64 x y))
1.0ms	x	@	-inf	(/.f64 200 (+.f64 x y))
1.0ms	y	@	inf	(/.f64 200 (+.f64 x y))

rewrite115.0ms (4%)

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 200 (+.f64 x y)))
(/.f64 200 (+.f64 x y))

Outputs

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200 (+.f64 x y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 200 (+.f64 x y)) (+.f64 x y)) (-.f64 x y) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 200 (+.f64 x y)) (+.f64 x y)) (-.f64 x y) (*.f64 (/.f64 200 (+.f64 x y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 200 (+.f64 x y)) (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)) (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 200 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (/.f64 200 (+.f64 x y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 200 (+.f64 x y)) (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)) (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 200 (+.f64 x y)) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (/.f64 200 (+.f64 x y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 200 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 200 (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 200 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 200 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 200 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 200 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 200 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 200 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 200 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 200 (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 200 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 200 (+.f64 x y))) 2) (cbrt.f64 (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 200 (+.f64 x y))) (sqrt.f64 (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -200 (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) 200)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 200 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 200 (+.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 200 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 40000 (pow.f64 (+.f64 x y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 200 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 200 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 200 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) 1/200) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 x y) 1/200) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 40000 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 200 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 200 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 200 (+.f64 x y))) 1))))))

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

771×	`associate-/r*_binary64`
761×	`fma-def_binary64`
546×	`associate-*l/_binary64`
471×	`distribute-rgt-out_binary64`
436×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	693
1	119	675
2	338	675
3	1288	642
4	6897	594

Stop Event

1×	node limit

Counts

200 → 171

Calls

Call 1

Inputs
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(/.f64 200 y)
(+.f64 (.f64 200 (/.f64 1 y)) (.f64 -200 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (*.f64 -200 (/.f64 x (pow.f64 y 2)))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (+.f64 (.f64 -200 (/.f64 x (pow.f64 y 2))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 200 x)
(+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (*.f64 200 (/.f64 1 x))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))))
(/.f64 200 x)
(+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (*.f64 200 (/.f64 1 x))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))))
(/.f64 200 x)
(+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (*.f64 200 (/.f64 1 x))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))))
(/.f64 200 y)
(+.f64 (.f64 200 (/.f64 1 y)) (.f64 -200 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (*.f64 -200 (/.f64 x (pow.f64 y 2)))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (+.f64 (.f64 -200 (/.f64 x (pow.f64 y 2))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 200 y)
(+.f64 (.f64 200 (/.f64 1 y)) (.f64 -200 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (*.f64 -200 (/.f64 x (pow.f64 y 2)))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (+.f64 (.f64 -200 (/.f64 x (pow.f64 y 2))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))

Outputs
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(/.f64 200 y)
(+.f64 (.f64 200 (/.f64 1 y)) (.f64 -200 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 200 y) (.f64 -200 (/.f64 x (.f64 y y))))
(fma.f64 -200 (/.f64 x (*.f64 y y)) (/.f64 200 y))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (*.f64 -200 (/.f64 x (pow.f64 y 2)))))
(fma.f64 200 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 200 y) (.f64 -200 (/.f64 x (*.f64 y y)))))
(fma.f64 200 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -200 (/.f64 x (*.f64 y y)) (/.f64 200 y)))
(fma.f64 -200 (/.f64 x (.f64 y y)) (fma.f64 200 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 200 y)))
(+.f64 (/.f64 200 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -200 (*.f64 200 (/.f64 x y)))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (+.f64 (.f64 -200 (/.f64 x (pow.f64 y 2))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 200 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 200 y) (.f64 -200 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 200 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -200 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 200 y)))
(fma.f64 -200 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 200 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 200 y)))
(fma.f64 200 (fma.f64 (/.f64 x (pow.f64 y 3)) x (/.f64 1 y)) (*.f64 (/.f64 -200 y) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (fma.f64 -200 (/.f64 x (.f64 y y)) (/.f64 200 y)))
(/.f64 200 x)
(+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))
(fma.f64 -200 (/.f64 y (*.f64 x x)) (/.f64 200 x))
(fma.f64 -200 (/.f64 (/.f64 y x) x) (/.f64 200 x))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (*.f64 200 (/.f64 1 x))))
(fma.f64 200 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 -200 (/.f64 y (.f64 x x)) (/.f64 200 x)))
(fma.f64 200 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -200 (/.f64 y (*.f64 x x)) (/.f64 200 x)))
(fma.f64 -200 (/.f64 y (.f64 x x)) (fma.f64 200 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 200 x)))
(+.f64 (/.f64 200 x) (.f64 (/.f64 (/.f64 y x) x) (+.f64 -200 (.f64 200 (/.f64 y x)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 200 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 -200 (/.f64 y (.f64 x x)) (/.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 200 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -200 (/.f64 y (*.f64 x x)) (/.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -200 (/.f64 y (.f64 x x)) (fma.f64 200 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 200 x))))
(fma.f64 200 (fma.f64 (/.f64 y (pow.f64 x 3)) y (/.f64 1 x)) (*.f64 (/.f64 -200 x) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3))))
(.f64 (+.f64 (.f64 y (/.f64 (/.f64 y x) x)) 1) (fma.f64 -200 (/.f64 (/.f64 y x) x) (/.f64 200 x)))
(/.f64 200 x)
(+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))
(fma.f64 -200 (/.f64 y (*.f64 x x)) (/.f64 200 x))
(fma.f64 -200 (/.f64 (/.f64 y x) x) (/.f64 200 x))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (*.f64 200 (/.f64 1 x))))
(fma.f64 200 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 -200 (/.f64 y (.f64 x x)) (/.f64 200 x)))
(fma.f64 200 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -200 (/.f64 y (*.f64 x x)) (/.f64 200 x)))
(fma.f64 -200 (/.f64 y (.f64 x x)) (fma.f64 200 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 200 x)))
(+.f64 (/.f64 200 x) (.f64 (/.f64 (/.f64 y x) x) (+.f64 -200 (.f64 200 (/.f64 y x)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 200 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 -200 (/.f64 y (.f64 x x)) (/.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 200 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -200 (/.f64 y (*.f64 x x)) (/.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -200 (/.f64 y (.f64 x x)) (fma.f64 200 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 200 x))))
(fma.f64 200 (fma.f64 (/.f64 y (pow.f64 x 3)) y (/.f64 1 x)) (*.f64 (/.f64 -200 x) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3))))
(.f64 (+.f64 (.f64 y (/.f64 (/.f64 y x) x)) 1) (fma.f64 -200 (/.f64 (/.f64 y x) x) (/.f64 200 x)))
(/.f64 200 x)
(+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))
(fma.f64 -200 (/.f64 y (*.f64 x x)) (/.f64 200 x))
(fma.f64 -200 (/.f64 (/.f64 y x) x) (/.f64 200 x))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (*.f64 200 (/.f64 1 x))))
(fma.f64 200 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 -200 (/.f64 y (.f64 x x)) (/.f64 200 x)))
(fma.f64 200 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -200 (/.f64 y (*.f64 x x)) (/.f64 200 x)))
(fma.f64 -200 (/.f64 y (.f64 x x)) (fma.f64 200 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 200 x)))
(+.f64 (/.f64 200 x) (.f64 (/.f64 (/.f64 y x) x) (+.f64 -200 (.f64 200 (/.f64 y x)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -200 (/.f64 y (pow.f64 x 2))) (.f64 200 (/.f64 1 x)))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 200 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 -200 (/.f64 y (.f64 x x)) (/.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 200 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -200 (/.f64 y (*.f64 x x)) (/.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -200 (/.f64 y (.f64 x x)) (fma.f64 200 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 200 x))))
(fma.f64 200 (fma.f64 (/.f64 y (pow.f64 x 3)) y (/.f64 1 x)) (*.f64 (/.f64 -200 x) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3))))
(.f64 (+.f64 (.f64 y (/.f64 (/.f64 y x) x)) 1) (fma.f64 -200 (/.f64 (/.f64 y x) x) (/.f64 200 x)))
(/.f64 200 y)
(+.f64 (.f64 200 (/.f64 1 y)) (.f64 -200 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 200 y) (.f64 -200 (/.f64 x (.f64 y y))))
(fma.f64 -200 (/.f64 x (*.f64 y y)) (/.f64 200 y))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (*.f64 -200 (/.f64 x (pow.f64 y 2)))))
(fma.f64 200 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 200 y) (.f64 -200 (/.f64 x (*.f64 y y)))))
(fma.f64 200 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -200 (/.f64 x (*.f64 y y)) (/.f64 200 y)))
(fma.f64 -200 (/.f64 x (.f64 y y)) (fma.f64 200 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 200 y)))
(+.f64 (/.f64 200 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -200 (*.f64 200 (/.f64 x y)))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (+.f64 (.f64 -200 (/.f64 x (pow.f64 y 2))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 200 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 200 y) (.f64 -200 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 200 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -200 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 200 y)))
(fma.f64 -200 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 200 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 200 y)))
(fma.f64 200 (fma.f64 (/.f64 x (pow.f64 y 3)) x (/.f64 1 y)) (*.f64 (/.f64 -200 y) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (fma.f64 -200 (/.f64 x (.f64 y y)) (/.f64 200 y)))
(/.f64 200 y)
(+.f64 (.f64 200 (/.f64 1 y)) (.f64 -200 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 200 y) (.f64 -200 (/.f64 x (.f64 y y))))
(fma.f64 -200 (/.f64 x (*.f64 y y)) (/.f64 200 y))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (*.f64 -200 (/.f64 x (pow.f64 y 2)))))
(fma.f64 200 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 200 y) (.f64 -200 (/.f64 x (*.f64 y y)))))
(fma.f64 200 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -200 (/.f64 x (*.f64 y y)) (/.f64 200 y)))
(fma.f64 -200 (/.f64 x (.f64 y y)) (fma.f64 200 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 200 y)))
(+.f64 (/.f64 200 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -200 (*.f64 200 (/.f64 x y)))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 200 (/.f64 1 y)) (+.f64 (.f64 -200 (/.f64 x (pow.f64 y 2))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 200 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 200 y) (.f64 -200 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 200 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -200 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 200 y)))
(fma.f64 -200 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 200 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 200 y)))
(fma.f64 200 (fma.f64 (/.f64 x (pow.f64 y 3)) x (/.f64 1 y)) (*.f64 (/.f64 -200 y) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (fma.f64 -200 (/.f64 x (.f64 y y)) (/.f64 200 y)))

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) 200)
✓	18.5b	(/.f64 (.f64 (.f64 x x) 200) (+.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) 200) (+.f64 x y))
0.0ms	y	@	inf	(/.f64 (.f64 (.f64 x x) 200) (+.f64 x y))
0.0ms	y	@	-inf	(/.f64 (.f64 (.f64 x x) 200) (+.f64 x y))
0.0ms	x	@	inf	(.f64 (.f64 x x) 200)
0.0ms	x	@	inf	(/.f64 (.f64 (.f64 x x) 200) (+.f64 x y))

rewrite70.0ms (2.4%)

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) 200) (+.f64 x y))
(.f64 (.f64 x x) 200)

Outputs

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x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 200 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 200)) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/200))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/200))) 4)) (cbrt.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 40000)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 200))) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/200))) (/.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x y))) (/.f64 200 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 200 (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 200)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 40000)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 200))) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 200)) (+.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 200)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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(log.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y)))))) (sqrt.f64 (log.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 200)) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x y) 1/200))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 200) (/.f64 (*.f64 x x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 200 (/.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) 1/200))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 200)) 6) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 200 (/.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) 1/200))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 200 (/.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) 1/200)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (*.f64 (+.f64 x y) 1/200))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 200 (/.f64 (*.f64 x x) (+.f64 x y)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 200))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 200)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 200)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 200)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 200)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 40000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 200)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 2 (log.f64 x) (log.f64 200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 200))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 200))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 200)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 200))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 40000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 200)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 200)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 200)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 200))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 200)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 200)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 200)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 200)) 1) 1))))))

simplify85.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

747×	`distribute-lft-out_binary64`
646×	`distribute-rgt-out_binary64`
618×	`fma-def_binary64`
550×	`associate-/r*_binary64`
428×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	621
1	107	621
2	307	606
3	1119	564
4	5763	540
5	7276	537

Stop Event

1×	node limit

Counts

123 → 104

Calls

Call 1

Inputs
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))
(*.f64 200 (pow.f64 x 2))

Outputs
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(.f64 200 (/.f64 (.f64 x x) y))
(/.f64 x (/.f64 (/.f64 y 200) x))
(.f64 200 (.f64 x (/.f64 x y)))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(fma.f64 200 (/.f64 (.f64 x x) y) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 (.f64 x x) y) (.f64 (/.f64 -200 y) (/.f64 (pow.f64 x 3) y)))
(fma.f64 200 (.f64 (/.f64 x y) x) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (.f64 x (/.f64 x y)) (+.f64 200 (*.f64 -200 (/.f64 x y))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 -200 y) (/.f64 (pow.f64 x 3) y))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (.f64 x (/.f64 x y)) (+.f64 200 (*.f64 -200 (/.f64 x y)))))
(.f64 (.f64 x (/.f64 x y)) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y))))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 -200 y) (/.f64 (pow.f64 x 3) y)))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (.f64 x (/.f64 x y)) (+.f64 200 (*.f64 -200 (/.f64 x y))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (.f64 x (/.f64 x y)) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y)))))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 y -200 (*.f64 200 x))
(fma.f64 200 x (*.f64 y -200))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (.f64 200 x)))
(fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (*.f64 200 x)))
(fma.f64 y -200 (.f64 200 (+.f64 x (.f64 (/.f64 y x) y))))
(fma.f64 200 (fma.f64 (/.f64 y x) y x) (*.f64 y -200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (*.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 y -200 (.f64 200 (+.f64 x (*.f64 (/.f64 y x) y)))))
(fma.f64 200 (fma.f64 (/.f64 y x) y x) (.f64 -200 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(fma.f64 200 x (.f64 y (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (*.f64 -200 (/.f64 y x)))))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 y -200 (*.f64 200 x))
(fma.f64 200 x (*.f64 y -200))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (.f64 200 x)))
(fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (*.f64 200 x)))
(fma.f64 y -200 (.f64 200 (+.f64 x (.f64 (/.f64 y x) y))))
(fma.f64 200 (fma.f64 (/.f64 y x) y x) (*.f64 y -200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (*.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 y -200 (.f64 200 (+.f64 x (*.f64 (/.f64 y x) y)))))
(fma.f64 200 (fma.f64 (/.f64 y x) y x) (.f64 -200 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(fma.f64 200 x (.f64 y (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (*.f64 -200 (/.f64 y x)))))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 y -200 (*.f64 200 x))
(fma.f64 200 x (*.f64 y -200))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (.f64 200 x)))
(fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (*.f64 200 x)))
(fma.f64 y -200 (.f64 200 (+.f64 x (.f64 (/.f64 y x) y))))
(fma.f64 200 (fma.f64 (/.f64 y x) y x) (*.f64 y -200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (*.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 y -200 (.f64 200 (+.f64 x (*.f64 (/.f64 y x) y)))))
(fma.f64 200 (fma.f64 (/.f64 y x) y x) (.f64 -200 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(fma.f64 200 x (.f64 y (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (*.f64 -200 (/.f64 y x)))))))
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(.f64 200 (/.f64 (.f64 x x) y))
(/.f64 x (/.f64 (/.f64 y 200) x))
(.f64 200 (.f64 x (/.f64 x y)))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(fma.f64 200 (/.f64 (.f64 x x) y) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 (.f64 x x) y) (.f64 (/.f64 -200 y) (/.f64 (pow.f64 x 3) y)))
(fma.f64 200 (.f64 (/.f64 x y) x) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (.f64 x (/.f64 x y)) (+.f64 200 (*.f64 -200 (/.f64 x y))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 -200 y) (/.f64 (pow.f64 x 3) y))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (.f64 x (/.f64 x y)) (+.f64 200 (*.f64 -200 (/.f64 x y)))))
(.f64 (.f64 x (/.f64 x y)) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y))))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 -200 y) (/.f64 (pow.f64 x 3) y)))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (.f64 x (/.f64 x y)) (+.f64 200 (*.f64 -200 (/.f64 x y))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (.f64 x (/.f64 x y)) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y)))))))
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(.f64 200 (/.f64 (.f64 x x) y))
(/.f64 x (/.f64 (/.f64 y 200) x))
(.f64 200 (.f64 x (/.f64 x y)))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(fma.f64 200 (/.f64 (.f64 x x) y) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 (.f64 x x) y) (.f64 (/.f64 -200 y) (/.f64 (pow.f64 x 3) y)))
(fma.f64 200 (.f64 (/.f64 x y) x) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (.f64 x (/.f64 x y)) (+.f64 200 (*.f64 -200 (/.f64 x y))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 -200 y) (/.f64 (pow.f64 x 3) y))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (.f64 x (/.f64 x y)) (+.f64 200 (*.f64 -200 (/.f64 x y)))))
(.f64 (.f64 x (/.f64 x y)) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y))))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 -200 y) (/.f64 (pow.f64 x 3) y)))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (.f64 x (/.f64 x y)) (+.f64 200 (*.f64 -200 (/.f64 x y))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (.f64 x (/.f64 x y)) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y)))))))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 200 (*.f64 -200 y))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 x 200 (*.f64 -200 y))
1.0ms	x	@	0	(fma.f64 x 200 (*.f64 -200 y))
1.0ms	y	@	inf	(fma.f64 x 200 (*.f64 -200 y))
1.0ms	y	@	0	(fma.f64 x 200 (*.f64 -200 y))
1.0ms	y	@	-inf	(fma.f64 x 200 (*.f64 -200 y))

rewrite74.0ms (2.6%)

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	1512	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 x 200 (*.f64 -200 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -200 y) (*.f64 x 200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 200) (*.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 200) 1) (*.f64 -200 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 200 (*.f64 -200 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 200 (*.f64 -200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 200 (*.f64 -200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 200 (*.f64 -200 y))) (pow.f64 (cbrt.f64 (fma.f64 x 200 (*.f64 -200 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 200 (*.f64 -200 y))) 2) (cbrt.f64 (fma.f64 x 200 (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 200 (*.f64 -200 y))) (sqrt.f64 (fma.f64 x 200 (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 200) 3) (pow.f64 (*.f64 -200 y) 3)) (+.f64 (*.f64 (*.f64 x 200) (*.f64 x 200)) (-.f64 (*.f64 40000 (*.f64 y y)) (*.f64 (*.f64 x 200) (*.f64 -200 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 200) (*.f64 x 200)) (*.f64 40000 (*.f64 y y))) (-.f64 (*.f64 x 200) (*.f64 -200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 200 (*.f64 -200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 200 (*.f64 -200 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 200 (*.f64 -200 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 200 (*.f64 -200 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 200 (*.f64 -200 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 200 (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 200 (*.f64 -200 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 200 (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 200 (*.f64 -200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 200 (*.f64 -200 y))))))))

simplify17.0ms (0.6%)

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	9	168
1	13	168
2	15	168

Stop Event

1×

saturated

Counts

45 → 26

Calls

Call 1

Inputs
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))

Outputs
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))

eval208.0ms (7.2%)

Compiler: Compiled 10172 to 4163 computations (59.1% saved)

prune103.0ms (3.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	473	1	474
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	474	7	481

Error

Counts

481 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.0b	(/.f64 (.f64 (.f64 x x) 200) (+.f64 x y))
✓	29.2b	(*.f64 -200 y)
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	0b	(fma.f64 x 200 (*.f64 -200 y))
▶	47.9b	(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))
✓	33.5b	(*.f64 200 x)
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))

Compiler

Compiled 58 to 42 computations (27.6% saved)

localize18.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 200 (+.f64 x y))
✓	18.4b	(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))
1.0ms	y	@	inf	(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))
0.0ms	y	@	-inf	(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))
0.0ms	x	@	-inf	(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))
0.0ms	x	@	inf	(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))

rewrite93.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`prod-diff_binary64`
446×	`log-prod_binary64`
307×	`pow-prod-down_binary64`
249×	`pow2_binary64`
226×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	226	13
2	2787	13

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 200 (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 200 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 200 (+.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 200 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 1 x) (*.f64 (+.f64 x y) 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (*.f64 (+.f64 x y) 1/200) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (+.f64 x y) 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x y) 1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 x -2) (*.f64 (+.f64 x y) 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 x y) 1/200) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (*.f64 x (*.f64 x 200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 200 (*.f64 (pow.f64 x -2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 200 (*.f64 (+.f64 x y) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 200 (+.f64 x y)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) 4)) (/.f64 1 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) (/.f64 1 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 -1 (*.f64 (+.f64 x y) 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 (+.f64 x y) 1/200) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -200 (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -200 (*.f64 (neg.f64 (+.f64 x y)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 200)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 x 200))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 200) (*.f64 (/.f64 1 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (neg.f64 x)) 200) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -200) (*.f64 (/.f64 1 x) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -200) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (neg.f64 x)) -200) (*.f64 -1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 200 x) (*.f64 (+.f64 x y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -200 x) (*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -200 (*.f64 x x)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -200 (*.f64 x x)) (*.f64 (neg.f64 (+.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 200 (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -200 (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 (+.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 200)) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 200)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 200 (+.f64 x y))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 200 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 200 (+.f64 x y)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 200 (+.f64 x y)) (*.f64 x (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (*.f64 (+.f64 x y) 1/200)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 x y) 1/200) (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 x 200))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 200 (+.f64 x y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (/.f64 200 (+.f64 x y))))) 2))))))

simplify106.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

699×	`distribute-lft-out_binary64`
620×	`distribute-rgt-out_binary64`
611×	`fma-def_binary64`
549×	`associate-/r*_binary64`
420×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	537
1	106	537
2	305	522
3	1110	480
4	5701	456
5	7152	453

Stop Event

1×	node limit

Counts

86 → 77

Calls

Call 1

Inputs
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))

Outputs
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(.f64 200 (/.f64 (.f64 x x) y))
(/.f64 200 (/.f64 y (*.f64 x x)))
(.f64 200 (.f64 (/.f64 x y) x))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(fma.f64 200 (/.f64 (.f64 x x) y) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 x (/.f64 y x)) (/.f64 (.f64 -200 (pow.f64 x 3)) (.f64 y y)))
(fma.f64 200 (.f64 (/.f64 x y) x) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 200 (/.f64 (*.f64 x -200) y)))
(.f64 x (.f64 (/.f64 x y) (+.f64 200 (/.f64 (*.f64 x -200) y))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(fma.f64 200 (/.f64 x (/.f64 y x)) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (.f64 -200 (pow.f64 x 3)) (.f64 y y))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 (.f64 x x) y) (+.f64 200 (/.f64 (*.f64 x -200) y))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y))))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 x (/.f64 y x)) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (.f64 -200 (pow.f64 x 3)) (.f64 y y)))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) y) (+.f64 200 (/.f64 (*.f64 x -200) y)))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) y) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y)))))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 y -200 (*.f64 200 x))
(fma.f64 200 x (*.f64 y -200))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (.f64 200 x)))
(fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (*.f64 200 x)))
(fma.f64 y -200 (.f64 200 (+.f64 (.f64 (/.f64 y x) y) x)))
(fma.f64 200 (fma.f64 (/.f64 y x) y x) (*.f64 y -200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (*.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 y -200 (.f64 200 (+.f64 (*.f64 (/.f64 y x) y) x))))
(fma.f64 200 x (fma.f64 y -200 (.f64 (.f64 y (/.f64 y x)) (+.f64 200 (*.f64 -200 (/.f64 y x))))))
(fma.f64 200 x (.f64 y (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (*.f64 -200 (/.f64 y x)))))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 y -200 (*.f64 200 x))
(fma.f64 200 x (*.f64 y -200))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (.f64 200 x)))
(fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (*.f64 200 x)))
(fma.f64 y -200 (.f64 200 (+.f64 (.f64 (/.f64 y x) y) x)))
(fma.f64 200 (fma.f64 (/.f64 y x) y x) (*.f64 y -200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (*.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 y -200 (.f64 200 (+.f64 (*.f64 (/.f64 y x) y) x))))
(fma.f64 200 x (fma.f64 y -200 (.f64 (.f64 y (/.f64 y x)) (+.f64 200 (*.f64 -200 (/.f64 y x))))))
(fma.f64 200 x (.f64 y (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (*.f64 -200 (/.f64 y x)))))))
(*.f64 200 x)
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 y -200 (*.f64 200 x))
(fma.f64 200 x (*.f64 y -200))
(+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (*.f64 200 x)))
(fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (.f64 200 x)))
(fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (*.f64 200 x)))
(fma.f64 y -200 (.f64 200 (+.f64 (.f64 (/.f64 y x) y) x)))
(fma.f64 200 (fma.f64 (/.f64 y x) y x) (*.f64 y -200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -200 y) (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (.f64 y y) x) (fma.f64 -200 y (*.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 y (/.f64 x y)) (fma.f64 y -200 (.f64 200 x))))
(fma.f64 -200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 y -200 (.f64 200 (+.f64 (*.f64 (/.f64 y x) y) x))))
(fma.f64 200 x (fma.f64 y -200 (.f64 (.f64 y (/.f64 y x)) (+.f64 200 (*.f64 -200 (/.f64 y x))))))
(fma.f64 200 x (.f64 y (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (*.f64 -200 (/.f64 y x)))))))
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(.f64 200 (/.f64 (.f64 x x) y))
(/.f64 200 (/.f64 y (*.f64 x x)))
(.f64 200 (.f64 (/.f64 x y) x))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(fma.f64 200 (/.f64 (.f64 x x) y) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 x (/.f64 y x)) (/.f64 (.f64 -200 (pow.f64 x 3)) (.f64 y y)))
(fma.f64 200 (.f64 (/.f64 x y) x) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 200 (/.f64 (*.f64 x -200) y)))
(.f64 x (.f64 (/.f64 x y) (+.f64 200 (/.f64 (*.f64 x -200) y))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(fma.f64 200 (/.f64 x (/.f64 y x)) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (.f64 -200 (pow.f64 x 3)) (.f64 y y))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 (.f64 x x) y) (+.f64 200 (/.f64 (*.f64 x -200) y))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y))))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 x (/.f64 y x)) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (.f64 -200 (pow.f64 x 3)) (.f64 y y)))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) y) (+.f64 200 (/.f64 (*.f64 x -200) y)))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) y) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y)))))))
(*.f64 200 (/.f64 (pow.f64 x 2) y))
(.f64 200 (/.f64 (.f64 x x) y))
(/.f64 200 (/.f64 y (*.f64 x x)))
(.f64 200 (.f64 (/.f64 x y) x))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(fma.f64 200 (/.f64 (.f64 x x) y) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 x (/.f64 y x)) (/.f64 (.f64 -200 (pow.f64 x 3)) (.f64 y y)))
(fma.f64 200 (.f64 (/.f64 x y) x) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 200 (/.f64 (*.f64 x -200) y)))
(.f64 x (.f64 (/.f64 x y) (+.f64 200 (/.f64 (*.f64 x -200) y))))
(+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(fma.f64 200 (/.f64 x (/.f64 y x)) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (.f64 -200 (pow.f64 x 3)) (.f64 y y))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 (.f64 x x) y) (+.f64 200 (/.f64 (*.f64 x -200) y))))
(.f64 (/.f64 (.f64 x x) y) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y))))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 (.f64 x x) y) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -200 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 200 (/.f64 x (/.f64 y x)) (fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (.f64 -200 (pow.f64 x 3)) (.f64 y y)))))
(fma.f64 200 (+.f64 (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 -200 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))
(fma.f64 200 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) y) (+.f64 200 (/.f64 (*.f64 x -200) y)))))
(fma.f64 -200 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) y) (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (.f64 200 (/.f64 x y)))))))

eval46.0ms (1.6%)

Compiler: Compiled 1777 to 1007 computations (43.3% saved)

prune31.0ms (1.1%)

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
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
	47.8b	(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 x))
✓	48.0b	(/.f64 (.f64 (.f64 x x) 200) (+.f64 x y))
✓	29.2b	(*.f64 -200 y)
✓	0.0b	(*.f64 200 (-.f64 x y))
	33.9b	(/.f64 (*.f64 (/.f64 200 (+.f64 x y)) x) (/.f64 1 x))
✓	33.5b	(*.f64 200 x)

Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes50.0ms (1.7%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 -200 y)
(*.f64 200 x)
(*.f64 200 (-.f64 x y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 x))
(/.f64 (.f64 (.f64 x x) 200) (+.f64 x y))
(/.f64 (*.f64 (/.f64 200 (+.f64 x y)) x) (/.f64 1 x))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 200 (+.f64 x y)))
(fma.f64 x 200 (*.f64 -200 y))

Outputs
(fma.f64 x 200 (*.f64 -200 y))

Calls

4 calls:

12.0ms	x
12.0ms	y
11.0ms	(*.f64 200 (-.f64 x y))
11.0ms	(-.f64 x y)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(*.f64 200 (-.f64 x y))`
0b	1	`(-.f64 x y)`

Compiler

Compiled 112 to 61 computations (45.5% saved)

regimes82.0ms (2.9%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 -200 y)
(*.f64 200 x)
(*.f64 200 (-.f64 x y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 x))
(/.f64 (.f64 (.f64 x x) 200) (+.f64 x y))
(/.f64 (*.f64 (/.f64 200 (+.f64 x y)) x) (/.f64 1 x))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 200 (+.f64 x y)))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1) (/.f64 200 (+.f64 x y)))

Outputs
(+.f64 (.f64 200 x) (.f64 -200 y))

Calls

4 calls:

44.0ms	(*.f64 200 (-.f64 x y))
13.0ms	x
11.0ms	(-.f64 x y)
10.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 200 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 106 to 57 computations (46.2% saved)

regimes27.0ms (0.9%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 -200 y)
(*.f64 200 x)
(*.f64 200 (-.f64 x y))

Outputs
(*.f64 200 (-.f64 x y))

Calls

4 calls:

7.0ms	(*.f64 200 (-.f64 x y))
6.0ms	(-.f64 x y)
6.0ms	x
6.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 200 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes53.0ms (1.8%)

Accuracy

Total -47.8b remaining (-338.7%)

Threshold costs -47.8b (-338.7%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 -200 y)
(*.f64 200 x)

Outputs
(*.f64 200 x)
(*.f64 -200 y)
(*.f64 200 x)

Calls

2 calls:

36.0ms	x
15.0ms	y

Results

Error	Segments	Branch
14.1b	3	`x`
16.0b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch45.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.002266253903827e-61	4.733102151545341e-48
23.0ms	-2.5911415322199697e-62	-1.5463414592357668e-62

Compiler

Compiled 12 to 9 computations (25% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-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	18	53
1	24	53
2	29	53
3	31	53
4	32	53

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 200 (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 200 (-.f64 x y))
(if (<=.f64 x -6000673830506619/231584178474632390847141970017375815706539969331281128078915168015826259279872) (.f64 200 x) (if (<=.f64 x 5792884640294139/14474011154664524427946373126085988481658748083205070504932198000989141204992) (.f64 -200 y) (*.f64 200 x)))
(*.f64 -200 y)

Outputs
(fma.f64 x 200 (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 x 200))
(*.f64 200 (-.f64 x y))
(if (<=.f64 x -6000673830506619/231584178474632390847141970017375815706539969331281128078915168015826259279872) (.f64 200 x) (if (<=.f64 x 5792884640294139/14474011154664524427946373126085988481658748083205070504932198000989141204992) (.f64 -200 y) (*.f64 200 x)))
(if (<=.f64 x -6000673830506619/231584178474632390847141970017375815706539969331281128078915168015826259279872) (.f64 x 200) (if (<=.f64 x 5792884640294139/14474011154664524427946373126085988481658748083205070504932198000989141204992) (.f64 -200 y) (*.f64 x 200)))
(*.f64 -200 y)

Compiler

Compiled 48 to 36 computations (25% saved)

soundness0.0ms (0%)

end79.0ms (2.7%)

Compiler: Compiled 40 to 28 computations (30% saved)

Details

analyze55.0ms (1.9%)

sample779.0ms (27.1%)

preprocess53.0ms (1.8%)

simplify25.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite56.0ms (1.9%)

simplify10.0ms (0.4%)

eval4.0ms (0.1%)

prune5.0ms (0.2%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

localize7.0ms (0.3%)

series3.0ms (0.1%)

rewrite69.0ms (2.4%)

simplify8.0ms (0.3%)

localize12.0ms (0.4%)

series9.0ms (0.3%)

rewrite94.0ms (3.3%)

simplify82.0ms (2.9%)

eval83.0ms (2.9%)

prune53.0ms (1.8%)

localize32.0ms (1.1%)

series7.0ms (0.2%)

rewrite115.0ms (4%)

simplify62.0ms (2.2%)

localize12.0ms (0.4%)

series4.0ms (0.1%)

rewrite70.0ms (2.4%)

simplify85.0ms (2.9%)

localize10.0ms (0.4%)

series4.0ms (0.1%)

rewrite74.0ms (2.6%)

simplify17.0ms (0.6%)

eval208.0ms (7.2%)

prune103.0ms (3.6%)

localize18.0ms (0.6%)

series3.0ms (0.1%)

rewrite93.0ms (3.2%)

simplify106.0ms (3.7%)

eval46.0ms (1.6%)

prune31.0ms (1.1%)

regimes50.0ms (1.7%)

regimes82.0ms (2.9%)

regimes27.0ms (0.9%)

regimes53.0ms (1.8%)

bsearch45.0ms (1.6%)

simplify9.0ms (0.3%)

soundness0.0ms (0%)

end79.0ms (2.7%)

Profiling