Details

analyze184.0ms (4.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample911.0ms (20.3%)

Results

899.0ms

8256×

body

256

valid

preprocess46.0ms (1%)

Algorithm

2×	egg-herbie

Rules

112×	`fma-neg_binary64`
52×	`fma-def_binary64`
40×	`cancel-sign-sub-inv_binary64`
24×	`sub-neg_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	457	10
9	503	10
10	505	10
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify20.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

57×	`fma-neg_binary64`
53×	`fma-def_binary64`
23×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	156	5
8	212	5
9	272	5
10	336	5
11	364	5
12	367	5

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y -1/200 x)
▶	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`pow1_binary64`
709×	`add-log-exp_binary64`
709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1902	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 y -1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -1/200) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x (.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y -1/200))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y -1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 -1/200 y (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (*.f64 y -1/200) 1 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/200))) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 2) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y 1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (neg.f64 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x (*.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) (*.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))))))

simplify21.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

60 → 40

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y -1/200 x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite122.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`pow1_binary64`
439×	`add-sqr-sqrt_binary64`
429×	`*-un-lft-identity_binary64`
417×	`add-log-exp_binary64`
417×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	100	5
2	1108	5

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

45 → 25

Calls

Call 1

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

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

eval40.0ms (0.9%)

Compiler: Compiled 671 to 449 computations (33.1% saved)

prune27.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	62	5	67

Error

0.0b

Counts

67 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
▶	33.6b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
	33.8b	x
✓	0.0b	(-.f64 x (/.f64 y 200))
▶	30.1b	(*.f64 -1/200 y)

Compiler

Compiled 51 to 35 computations (31.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -1/200 y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite65.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
339×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
322×	`add-log-exp_binary64`
322×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	875	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -1/200 y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -1/200 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) -1/400)) (log.f64 (pow.f64 (exp.f64 y) -1/400)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/100))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1/200 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/200 y)) (+.f64 1 (*.f64 -1/200 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1/200 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/200 y)) (+.f64 1 (*.f64 -1/200 y))) 1) (+.f64 (+.f64 1 (*.f64 -1/200 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/200 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/200 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) -1/8000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/200 y)))) (sqrt.f64 (log.f64 (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/200 y))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/200 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) -1/8000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/200 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/200 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/200 y))) 2))))))

simplify159.0ms (3.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize27.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
✓	0.6b	(.f64 (.f64 y y) 1/40000)
✓	3.2b	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/40000))
✓	30.9b	(/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)))

Compiler

Compiled 67 to 33 computations (50.7% saved)

series12.0ms (0.3%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/40000))
1.0ms	x	@	0	(/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)))
1.0ms	x	@	-inf	(/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)))
1.0ms	x	@	inf	(/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)))
1.0ms	y	@	inf	(/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)))

rewrite177.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`fma-def_binary64`
722×	`log-prod_binary64`
314×	`fma-neg_binary64`
286×	`egg-rr`
253×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	320	35
2	4501	35

Stop Event

1×	node limit

Counts

4 → 498

Calls

Call 1

Inputs
(/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)))
(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/40000))
(.f64 (.f64 y y) 1/40000)
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))

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

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-def_binary64`
814×	`associate-/r*_binary64`
573×	`fma-neg_binary64`
529×	`associate-*l/_binary64`
428×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	984
1	137	936
2	380	930
3	1422	906
4	7320	894

Stop Event

1×	node limit

Counts

582 → 525

Calls

Call 1

Inputs
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 -8000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 200 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -8000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 -1600000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (.f64 200 (/.f64 1 y)))
(/.f64 1 x)
(+.f64 (*.f64 1/200 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/200 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 1/40000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 1/200 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/40000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/200 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/200 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 1/40000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 1/200 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/40000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/200 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/200 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 1/40000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 1/200 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/40000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 -8000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 200 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -8000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 -1600000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (.f64 200 (/.f64 1 y)))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 -8000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 200 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -8000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 -1600000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (.f64 200 (/.f64 1 y)))
(*.f64 -1/40000 (pow.f64 y 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(*.f64 -1/40000 (pow.f64 y 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(*.f64 -1/40000 (pow.f64 y 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)

Outputs
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y))
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(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(*.f64 -1/200 y)
(*.f64 y -1/200)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y 1/200)
	0.6b	(.f64 (.f64 y y) 1/40000)
	3.2b	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/40000))
✓	30.9b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))

Compiler

Compiled 49 to 23 computations (53.1% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
0.0ms	y	@	0	(*.f64 y 1/200)
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
0.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))

rewrite100.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`fma-def_binary64`
681×	`log-prod_binary64`
331×	`fma-neg_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	282	11
2	4170	11

Stop Event

1×	node limit

Counts

2 → 226

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
(*.f64 y 1/200)

Outputs

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simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	153
1	12	153
2	13	153

Stop Event

1×

saturated

Counts

262 → 232

Calls

Call 1

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

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

eval477.0ms (10.6%)

Compiler: Compiled 23937 to 14855 computations (37.9% saved)

prune325.0ms (7.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	961	3	964
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	963	6	969

Error

Counts

969 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	x
✓	33.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
▶	30.1b	(/.f64 1 (fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y)))
▶	46.8b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000))))
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	30.1b	(*.f64 -1/200 y)

Compiler

Compiled 61 to 43 computations (29.5% saved)

localize183.0ms (4.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 y -1/40000))
✓	0.4b	(*.f64 y -1/40000)
✓	0.7b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000))))
✓	18.6b	(/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000)))

Compiler

Compiled 47 to 31 computations (34% saved)

series19.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000)))
1.0ms	x	@	inf	(/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000)))
1.0ms	x	@	-inf	(/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000)))
1.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000))))
1.0ms	y	@	0	(/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000)))

rewrite133.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`log-prod_binary64`
322×	`pow2_binary64`
266×	`fma-def_binary64`
236×	`pow-unpow_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	261	39
2	3590	39

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

Inputs
(/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000)))
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000))))
(*.f64 y -1/40000)
(.f64 y (.f64 y -1/40000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y 1/200 x) (/.f64 (pow.f64 y -2) -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) (.f64 (cbrt.f64 (fma.f64 y 1/200 x)) (/.f64 (pow.f64 y -2) -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))) 2) (cbrt.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y 1/200 x)) (.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (/.f64 (pow.f64 y -2) -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 y 1/200 x))) (.f64 y 1/200)) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 y 1/200 x))) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 y 1/200 x)) (pow.f64 (.f64 y 1/200) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 y -2) -1/40000) (fma.f64 y 1/200 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 y 1/200 x) y) (/.f64 1 (.f64 y -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) y) (/.f64 (cbrt.f64 (fma.f64 y 1/200 x)) (.f64 y -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) y) (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (.f64 y -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (.f64 y -1/40000)) (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y -1/40000)) (/.f64 (fma.f64 y 1/200 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) (.f64 y -1/40000)) (/.f64 (cbrt.f64 (fma.f64 y 1/200 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y 1/200 x)) (.f64 -1/40000 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) 1) (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (.f64 -1/40000 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) (.f64 y y)) (/.f64 (cbrt.f64 (fma.f64 y 1/200 x)) -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (.f64 y y)) (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 -1/40000 (.f64 y y))) -2) (/.f64 (fma.f64 y 1/200 x) (cbrt.f64 (.f64 -1/40000 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 4))) (cbrt.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 4))) (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (cbrt.f64 (.f64 -1/40000 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y (sqrt.f64 -1/40000))) (/.f64 (fma.f64 y 1/200 x) (.f64 y (sqrt.f64 -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) (.f64 y (sqrt.f64 -1/40000))) (/.f64 (cbrt.f64 (fma.f64 y 1/200 x)) (.f64 y (sqrt.f64 -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 y 1/200 x))) (.f64 y 1/200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 y 1/200 x) 3) (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y 1/200 x) (.f64 (.f64 y y) 1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y 1/200 x) 3) (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/40000 (.f64 y y)) (/.f64 1 (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))) 2) (cbrt.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))) (sqrt.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (/.f64 (neg.f64 (fma.f64 y 1/200 x)) (.f64 -1/40000 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 y 1/200 x)) (.f64 -1/40000 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y 1) (/.f64 (.f64 y -1/40000) (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 y -1/40000) 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x) (.f64 y -1/40000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 y 1/200 x))) (.f64 y 1/200)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 6) (pow.f64 (fma.f64 y 1/200 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 y 1/200 x)) (.f64 -1/40000 (.f64 y y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 y (sqrt.f64 -1/40000)) (sqrt.f64 (fma.f64 y 1/200 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 6) (pow.f64 (fma.f64 y 1/200 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 y 1/200 x) (.f64 y -1/40000)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/40000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) -1/40000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y -1/40000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y -1/40000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 y y) 1/1600000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y -1/40000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y -1/40000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y -1/40000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 y y) 1/1600000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y -1/40000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 y -1/40000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/40000 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) -1/40000) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) -1/40000) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) -1/40000) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) -1/40000) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/40000 (.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 y -2) -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/40000 (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/40000 (.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (sqrt.f64 -1/40000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y -2) -1/40000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 y -1/40000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 y -1/40000) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) -1/40000) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/40000 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 -1/40000)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 y -1/40000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 y -1/40000) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/40000 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/40000 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/40000 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/40000 (.f64 y y))) 1))))))

simplify118.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
588×	`associate-/r*_binary64`
438×	`associate-r_binary64`
436×	`distribute-rgt-out_binary64`
402×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	972
1	143	936
2	373	936
3	1260	894
4	5980	870
5	7349	870

Stop Event

1×	node limit

Counts

226 → 179

Calls

Call 1

Inputs
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 y)
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (pow.f64 y 2))

Outputs
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(/.f64 -40000 (*.f64 y (/.f64 y x)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
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(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
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(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
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(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))
(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))
(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))
(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))
(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))
(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))
(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))
(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))
(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))
(*.f64 -1/40000 (pow.f64 y 2))
(.f64 (.f64 y y) -1/40000)
(.f64 y (.f64 y -1/40000))

localize65.0ms (1.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y))
✓	0.7b	(/.f64 1 (fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y)))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series19.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y))
2.0ms	x	@	inf	(/.f64 1 (fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y)))
1.0ms	x	@	0	(/.f64 1 (fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y)))
1.0ms	y	@	inf	(fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y))
1.0ms	x	@	0	(fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y))

rewrite102.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
399×	`exp-prod_binary64`
284×	`pow2_binary64`
275×	`pow-prod-down_binary64`
198×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	235	31
2	2847	31

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(/.f64 1 (fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y)))
(fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y))

Outputs

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

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

simplify146.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-/r*_binary64`
583×	`fma-def_binary64`
434×	`associate-r_binary64`
414×	`distribute-rgt-out_binary64`
403×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	840
1	140	804
2	370	804
3	1253	762
4	5934	738
5	7259	738

Stop Event

1×	node limit

Counts

134 → 106

Calls

Call 1

Inputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))

Outputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(fma.f64 -200 (/.f64 (*.f64 x x) y) (fma.f64 -1/200 y x))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 -1/200 y x))
(fma.f64 -1/200 y (fma.f64 -200 (/.f64 (*.f64 x x) y) x))
(fma.f64 -1/200 y (fma.f64 (/.f64 -200 y) (*.f64 x x) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 40000 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -1/200 y x)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 40000 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -1/200 y x)))
(+.f64 x (fma.f64 -1/200 y (.f64 (.f64 x (/.f64 x y)) (+.f64 -200 (*.f64 40000 (/.f64 x y))))))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(.f64 -1/40000 (/.f64 (.f64 y y) x))
(*.f64 -1/40000 (/.f64 y (/.f64 x y)))
(.f64 -1/40000 (.f64 (/.f64 y x) y))
(.f64 (.f64 y y) (/.f64 -1/40000 x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -1/40000 (/.f64 (*.f64 y y) x)))
(fma.f64 -1/40000 (/.f64 y (/.f64 x y)) (.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (.f64 1/8000000 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (/.f64 (*.f64 y 1/8000000) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 -1/40000 (/.f64 y (/.f64 x y)))))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (/.f64 (*.f64 y 1/8000000) x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 (.f64 (/.f64 y x) (+.f64 1/8000000 (.f64 (/.f64 y x) -1/1600000000))) -1/40000))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 -1/40000 (/.f64 y (/.f64 x y))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/40000 (.f64 (/.f64 y x) y) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (/.f64 (*.f64 y 1/8000000) x)))))
(fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 (.f64 (/.f64 y x) (+.f64 1/8000000 (.f64 (/.f64 y x) -1/1600000000))) -1/40000)))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(.f64 -1/40000 (/.f64 (.f64 y y) x))
(*.f64 -1/40000 (/.f64 y (/.f64 x y)))
(.f64 -1/40000 (.f64 (/.f64 y x) y))
(.f64 (.f64 y y) (/.f64 -1/40000 x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -1/40000 (/.f64 (*.f64 y y) x)))
(fma.f64 -1/40000 (/.f64 y (/.f64 x y)) (.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (.f64 1/8000000 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (/.f64 (*.f64 y 1/8000000) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 -1/40000 (/.f64 y (/.f64 x y)))))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (/.f64 (*.f64 y 1/8000000) x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 (.f64 (/.f64 y x) (+.f64 1/8000000 (.f64 (/.f64 y x) -1/1600000000))) -1/40000))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 -1/40000 (/.f64 y (/.f64 x y))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/40000 (.f64 (/.f64 y x) y) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (/.f64 (*.f64 y 1/8000000) x)))))
(fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 (.f64 (/.f64 y x) (+.f64 1/8000000 (.f64 (/.f64 y x) -1/1600000000))) -1/40000)))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(.f64 -1/40000 (/.f64 (.f64 y y) x))
(*.f64 -1/40000 (/.f64 y (/.f64 x y)))
(.f64 -1/40000 (.f64 (/.f64 y x) y))
(.f64 (.f64 y y) (/.f64 -1/40000 x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -1/40000 (/.f64 (*.f64 y y) x)))
(fma.f64 -1/40000 (/.f64 y (/.f64 x y)) (.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (.f64 1/8000000 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (/.f64 (*.f64 y 1/8000000) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 -1/40000 (/.f64 y (/.f64 x y)))))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (/.f64 (*.f64 y 1/8000000) x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 (.f64 (/.f64 y x) (+.f64 1/8000000 (.f64 (/.f64 y x) -1/1600000000))) -1/40000))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 -1/40000 (/.f64 y (/.f64 x y))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/40000 (.f64 (/.f64 y x) y) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (/.f64 (*.f64 y 1/8000000) x)))))
(fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 (.f64 (/.f64 y x) (+.f64 1/8000000 (.f64 (/.f64 y x) -1/1600000000))) -1/40000)))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(fma.f64 -200 (/.f64 (*.f64 x x) y) (fma.f64 -1/200 y x))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 -1/200 y x))
(fma.f64 -1/200 y (fma.f64 -200 (/.f64 (*.f64 x x) y) x))
(fma.f64 -1/200 y (fma.f64 (/.f64 -200 y) (*.f64 x x) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 40000 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -1/200 y x)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 40000 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -1/200 y x)))
(+.f64 x (fma.f64 -1/200 y (.f64 (.f64 x (/.f64 x y)) (+.f64 -200 (*.f64 40000 (/.f64 x y))))))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
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(fma.f64 -200 (/.f64 (*.f64 x x) y) (fma.f64 -1/200 y x))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 -1/200 y x))
(fma.f64 -1/200 y (fma.f64 -200 (/.f64 (*.f64 x x) y) x))
(fma.f64 -1/200 y (fma.f64 (/.f64 -200 y) (*.f64 x x) x))
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(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 40000 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -1/200 y x)))
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(/.f64 -200 y)
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(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(/.f64 -40000 (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 (*.f64 y y) -40000))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(/.f64 -40000 (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 (*.f64 y y) -40000))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(/.f64 -40000 (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 (*.f64 y y) -40000))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))

eval195.0ms (4.4%)

Compiler: Compiled 4784 to 3316 computations (30.7% saved)

prune42.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	284	1	285
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	286	5	291

Error

Counts

291 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	x
✓	33.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
▶	30.1b	(/.f64 1 (+.f64 (/.f64 -200 y) (*.f64 (/.f64 x y) (/.f64 -40000 y))))
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	30.1b	(*.f64 -1/200 y)

Compiler

Compiled 47 to 33 computations (29.8% saved)

localize18.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 -200 y) (*.f64 (/.f64 x y) (/.f64 -40000 y)))
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 -40000 y))
✓	0.7b	(/.f64 1 (+.f64 (/.f64 -200 y) (*.f64 (/.f64 x y) (/.f64 -40000 y))))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (/.f64 x y) (/.f64 -40000 y))
1.0ms	x	@	inf	(*.f64 (/.f64 x y) (/.f64 -40000 y))
1.0ms	y	@	0	(/.f64 1 (+.f64 (/.f64 -200 y) (*.f64 (/.f64 x y) (/.f64 -40000 y))))
1.0ms	y	@	0	(*.f64 (/.f64 x y) (/.f64 -40000 y))
1.0ms	x	@	-inf	(*.f64 (/.f64 x y) (/.f64 -40000 y))

rewrite90.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`log-prod_binary64`
335×	`pow2_binary64`
302×	`fma-def_binary64`
268×	`log-div_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	271	41
2	3820	41

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (/.f64 -200 y) (*.f64 (/.f64 x y) (/.f64 -40000 y))))
(*.f64 (/.f64 x y) (/.f64 -40000 y))
(+.f64 (/.f64 -200 y) (*.f64 (/.f64 x y) (/.f64 -40000 y)))

Outputs

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

simplify91.0ms (2%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-/r*_binary64`
583×	`fma-def_binary64`
437×	`associate-r_binary64`
414×	`distribute-rgt-out_binary64`
403×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	1080
1	140	1044
2	370	1044
3	1255	1002
4	5935	978
5	7260	978

Stop Event

1×	node limit

Counts

244 → 192

Calls

Call 1

Inputs
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))

Outputs
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(.f64 -1/40000 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -1/40000 (.f64 y y)) x)
(.f64 -1/40000 (.f64 (/.f64 y x) y))
(.f64 -1/40000 (.f64 y (/.f64 y x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -1/40000 (/.f64 (*.f64 y y) x)))
(fma.f64 -1/40000 (/.f64 y (/.f64 x y)) (/.f64 (.f64 1/8000000 (pow.f64 y 3)) (.f64 x x)))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (.f64 1/8000000 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (*.f64 1/8000000 (/.f64 y x))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 -1/40000 (*.f64 y y)) x)))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 (/.f64 -1/1600000000 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (*.f64 1/8000000 (/.f64 y x)))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -1/1600000000) 1/8000000))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 -1/40000 (*.f64 y y)) x))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -1/40000 (.f64 (/.f64 y x) y) (*.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 (/.f64 -1/1600000000 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (*.f64 1/8000000 (/.f64 y x))))))
(fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -1/1600000000) 1/8000000)))))
(*.f64 -1/200 y)
(*.f64 y -1/200)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(fma.f64 -200 (/.f64 (*.f64 x x) y) (fma.f64 -1/200 y x))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 y -1/200 x))
(fma.f64 -200 (*.f64 (/.f64 x y) x) (fma.f64 y -1/200 x))
(fma.f64 -200 (*.f64 x (/.f64 x y)) (fma.f64 y -1/200 x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 40000 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -1/200 y x)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 40000 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -1/200 x)))
(fma.f64 -200 (.f64 (/.f64 x y) x) (fma.f64 40000 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -1/200 x)))
(+.f64 (fma.f64 y -1/200 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 -200 (*.f64 40000 (/.f64 x y)))))
(*.f64 -1/200 y)
(*.f64 y -1/200)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(fma.f64 -200 (/.f64 (*.f64 x x) y) (fma.f64 -1/200 y x))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 y -1/200 x))
(fma.f64 -200 (*.f64 (/.f64 x y) x) (fma.f64 y -1/200 x))
(fma.f64 -200 (*.f64 x (/.f64 x y)) (fma.f64 y -1/200 x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 40000 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -1/200 y x)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 40000 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -1/200 x)))
(fma.f64 -200 (.f64 (/.f64 x y) x) (fma.f64 40000 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -1/200 x)))
(+.f64 (fma.f64 y -1/200 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 -200 (*.f64 40000 (/.f64 x y)))))
(*.f64 -1/200 y)
(*.f64 y -1/200)
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(fma.f64 -1/200 y x)
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(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/200 y) x))
(fma.f64 -200 (/.f64 (*.f64 x x) y) (fma.f64 -1/200 y x))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 y -1/200 x))
(fma.f64 -200 (*.f64 (/.f64 x y) x) (fma.f64 y -1/200 x))
(fma.f64 -200 (*.f64 x (/.f64 x y)) (fma.f64 y -1/200 x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 40000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1/200 y) x)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 40000 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -1/200 y x)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 40000 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -1/200 x)))
(fma.f64 -200 (.f64 (/.f64 x y) x) (fma.f64 40000 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -1/200 x)))
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(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(.f64 -1/40000 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -1/40000 (.f64 y y)) x)
(.f64 -1/40000 (.f64 (/.f64 y x) y))
(.f64 -1/40000 (.f64 y (/.f64 y x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -1/40000 (/.f64 (*.f64 y y) x)))
(fma.f64 -1/40000 (/.f64 y (/.f64 x y)) (/.f64 (.f64 1/8000000 (pow.f64 y 3)) (.f64 x x)))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (.f64 1/8000000 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (*.f64 1/8000000 (/.f64 y x))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 -1/40000 (*.f64 y y)) x)))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 (/.f64 -1/1600000000 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (*.f64 1/8000000 (/.f64 y x)))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -1/1600000000) 1/8000000))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 -1/40000 (*.f64 y y)) x))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -1/40000 (.f64 (/.f64 y x) y) (*.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 (/.f64 -1/1600000000 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (*.f64 1/8000000 (/.f64 y x))))))
(fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -1/1600000000) 1/8000000)))))
(*.f64 -1/40000 (/.f64 (pow.f64 y 2) x))
(.f64 -1/40000 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -1/40000 (.f64 y y)) x)
(.f64 -1/40000 (.f64 (/.f64 y x) y))
(.f64 -1/40000 (.f64 y (/.f64 y x)))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -1/40000 (/.f64 (*.f64 y y) x)))
(fma.f64 -1/40000 (/.f64 y (/.f64 x y)) (/.f64 (.f64 1/8000000 (pow.f64 y 3)) (.f64 x x)))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (.f64 1/8000000 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (*.f64 1/8000000 (/.f64 y x))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 -1/40000 (*.f64 y y)) x)))
(fma.f64 -1/40000 (.f64 (/.f64 y x) y) (fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 (/.f64 -1/1600000000 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (*.f64 1/8000000 (/.f64 y x)))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -1/1600000000) 1/8000000))))
(+.f64 (.f64 1/8000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1/40000 (/.f64 (pow.f64 y 2) x)) (.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/40000 (/.f64 (.f64 y y) x) (*.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 -1/40000 (*.f64 y y)) x))))
(fma.f64 1/8000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1/1600000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -1/40000 (.f64 (/.f64 y x) y) (*.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 (/.f64 -1/1600000000 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (*.f64 1/8000000 (/.f64 y x))))))
(fma.f64 1/320000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1/40000 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -1/1600000000) 1/8000000)))))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(/.f64 -200 y)
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(*.f64 -40000 (/.f64 x (pow.f64 y 2)))
(.f64 -40000 (/.f64 x (.f64 y y)))
(*.f64 (/.f64 -40000 y) (/.f64 x y))
(.f64 x (/.f64 -40000 (.f64 y y)))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))
(-.f64 (.f64 -40000 (/.f64 x (pow.f64 y 2))) (.f64 200 (/.f64 1 y)))
(-.f64 (.f64 -40000 (/.f64 x (.f64 y y))) (/.f64 200 y))
(fma.f64 -40000 (/.f64 x (*.f64 y y)) (/.f64 -200 y))
(fma.f64 (/.f64 -40000 y) (/.f64 x y) (/.f64 -200 y))

eval71.0ms (1.6%)

Compiler: Compiled 3439 to 2269 computations (34% saved)

prune29.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	192	5	197

Error

Counts

197 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	x
✓	33.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
✓	30.1b	(/.f64 1 (+.f64 (/.f64 -200 y) (*.f64 (/.f64 x y) (/.f64 -40000 y))))
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	30.1b	(*.f64 -1/200 y)

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes31.0ms (0.7%)

Counts

10 → 1

Calls

Call 1

Inputs
x
x
(*.f64 -1/200 y)
(-.f64 x (/.f64 y 200))
(/.f64 1 (+.f64 (/.f64 -200 y) (*.f64 (/.f64 x y) (/.f64 -40000 y))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y -1/40000))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
(fma.f64 y -1/200 x)
(/.f64 1 (fma.f64 (/.f64 x y) (/.f64 -40000 y) (/.f64 -200 y)))

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

Calls

4 calls:

8.0ms	x
7.0ms	(-.f64 x (/.f64 y 200))
6.0ms	y
6.0ms	(/.f64 y 200)

Results

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

Compiler

Compiled 104 to 65 computations (37.5% saved)

regimes35.0ms (0.8%)

Counts

3 → 3

Calls

Call 1

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

Outputs
x
(*.f64 -1/200 y)
x

Calls

2 calls:

24.0ms	y
11.0ms	x

Results

Error	Segments	Branch
13.5b	3	`x`
15.2b	7	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	6.937944541277839e+83	1.671743018299042e+88
16.0ms	-6.0489332099488145e+112	-6.170722836036247e+109

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
33.8b	1	`x`
33.8b	1	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	18	26
2	25	26
3	29	26
4	32	26
5	33	26

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -60489332099488145333243102112049202532180324805308472482494701633301931783934376519134319156223865036893579116544) x (if (<=.f64 x 693794454127783880367632295558852175398271537370881837866271084823722900309336391680) (*.f64 -1/200 y) x))

Outputs
(-.f64 x (/.f64 y 200))
(if (<=.f64 x -60489332099488145333243102112049202532180324805308472482494701633301931783934376519134319156223865036893579116544) x (if (<=.f64 x 693794454127783880367632295558852175398271537370881837866271084823722900309336391680) (*.f64 -1/200 y) x))
(if (<=.f64 x -60489332099488145333243102112049202532180324805308472482494701633301931783934376519134319156223865036893579116544) x (if (<=.f64 x 693794454127783880367632295558852175398271537370881837866271084823722900309336391680) (*.f64 y -1/200) x))
x

Compiler

Compiled 25 to 17 computations (32% saved)

soundness0.0ms (0%)

end23.0ms (0.5%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	457	10
9	503	10
10	505	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	156	5
8	212	5
9	272	5
10	336	5
11	364	5
12	367	5

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	457	10
9	503	10
10	505	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	156	5
8	212	5
9	272	5
10	336	5
11	364	5
12	367	5

Details

analyze184.0ms (4.1%)

sample911.0ms (20.3%)

preprocess46.0ms (1%)

simplify20.0ms (0.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite84.0ms (1.9%)

simplify21.0ms (0.5%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite122.0ms (2.7%)

simplify50.0ms (1.1%)

eval40.0ms (0.9%)

prune27.0ms (0.6%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite65.0ms (1.4%)

simplify159.0ms (3.5%)

localize27.0ms (0.6%)

series12.0ms (0.3%)

rewrite177.0ms (4%)

simplify85.0ms (1.9%)

localize25.0ms (0.6%)

series3.0ms (0.1%)

rewrite100.0ms (2.2%)

simplify16.0ms (0.4%)

eval477.0ms (10.6%)

prune325.0ms (7.3%)

localize183.0ms (4.1%)

series19.0ms (0.4%)

rewrite133.0ms (3%)

simplify118.0ms (2.6%)

localize65.0ms (1.4%)

series19.0ms (0.4%)

rewrite102.0ms (2.3%)

simplify146.0ms (3.3%)

eval195.0ms (4.4%)

prune42.0ms (0.9%)

localize18.0ms (0.4%)

series8.0ms (0.2%)

rewrite90.0ms (2%)

simplify91.0ms (2%)

eval71.0ms (1.6%)

prune29.0ms (0.7%)

regimes31.0ms (0.7%)

regimes35.0ms (0.8%)

bsearch32.0ms (0.7%)

regimes8.0ms (0.2%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end23.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	457	10
9	503	10
10	505	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	156	5
8	212	5
9	272	5
10	336	5
11	364	5
12	367	5