Details

analyze70.0ms (2.3%)

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)

sample831.0ms (27.7%)

Results

818.0ms

8256×

body

256

valid

preprocess30.0ms (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-/r*_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	458	10
9	504	10
10	506	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)

simplify13.0ms (0.4%)

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	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	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)

prune1.0ms (0%)

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

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)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (1.6%)

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	1898	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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))))))

simplify10.0ms (0.3%)

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)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite34.0ms (1.1%)

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

simplify8.0ms (0.3%)

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)

eval17.0ms (0.6%)

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

prune11.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	61	6	67

Error

Counts

67 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.0b	(*.f64 -1/200 y)
✓	0.0b	(-.f64 x (/.f64 y 200))
▶	32.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
▶	0.1b	(+.f64 x (*.f64 y -1/200))
	32.0b	x
▶	32.3b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))

Compiler

Compiled 58 to 40 computations (31% saved)

localize20.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(.f64 (.f64 y y) 1/40000)
	0.2b	(/.f64 1 (+.f64 x (*.f64 y 1/200)))
	0.1b	(*.f64 y 1/200)
	0.0b	(+.f64 x (*.f64 y 1/200))
✓	0.2b	(/.f64 1 (+.f64 x (*.f64 y 1/200)))
✓	0.4b	(.f64 (.f64 y y) 1/40000)
✓	2.9b	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/40000))
✓	29.8b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))

Compiler

Compiled 59 to 31 computations (47.5% saved)

series13.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

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

rewrite147.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`fma-def_binary64`
689×	`log-prod_binary64`
313×	`fma-neg_binary64`
297×	`egg-rr`
245×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	315	33
2	4294	33

Stop Event

1×	node limit

Counts

4 → 515

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 y) 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 -1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2)) (cbrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (fma.f64 -1/200 y (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (fma.f64 (neg.f64 (.f64 y 1/200)) 1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (fma.f64 (neg.f64 y) 1/200 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (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 -1/200 y)) (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 x (.f64 -1/200 y)) (.f64 (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000))) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (/.f64 1 (fma.f64 y 1/200 x))) (.f64 (.f64 (.f64 y y) -1/40000) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (.f64 x x)) (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (.f64 (.f64 y y) -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 x (.f64 -1/200 y)))) (cbrt.f64 (exp.f64 (+.f64 x (.f64 -1/200 y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (.f64 -1/200 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (.f64 -1/200 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (.f64 -1/200 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (.f64 -1/200 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (fma.f64 y 1/200 x)) (/.f64 (.f64 y (.f64 y 1/40000)) (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y 1/200 x) (fma.f64 x x (.f64 (.f64 y y) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2) (/.f64 (fma.f64 y 1/200 x) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000))) (/.f64 (fma.f64 y 1/200 x) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/64000000000000)) (.f64 (fma.f64 y 1/200 x) (fma.f64 (.f64 y (.f64 y 1/40000)) (fma.f64 x x (.f64 y (.f64 y 1/40000))) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/1600000000)) (.f64 (fma.f64 y 1/200 x) (fma.f64 x x (.f64 y (.f64 y 1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (neg.f64 (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/64000000000000)) 1) (.f64 (fma.f64 (.f64 y (.f64 y 1/40000)) (fma.f64 x x (.f64 y (.f64 y 1/40000))) (pow.f64 x 4)) (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/1600000000)) 1) (.f64 (fma.f64 x x (.f64 y (.f64 y 1/40000))) (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/64000000000000)) -1) (.f64 (fma.f64 (.f64 y (.f64 y 1/40000)) (fma.f64 x x (.f64 y (.f64 y 1/40000))) (pow.f64 x 4)) (neg.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/1600000000)) -1) (.f64 (fma.f64 x x (.f64 y (.f64 y 1/40000))) (neg.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/64000000000000))) (.f64 (neg.f64 (fma.f64 y 1/200 x)) (fma.f64 (.f64 y (.f64 y 1/40000)) (fma.f64 x x (.f64 y (.f64 y 1/40000))) (pow.f64 x 4))))))) (#(struct:change #<rule 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simplify94.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

787×	`associate-/r*_binary64`
737×	`fma-def_binary64`
522×	`associate-*l/_binary64`
422×	`distribute-rgt-out_binary64`
412×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	1002
1	123	942
2	352	936
3	1371	906
4	6743	882
5	7917	882

Stop Event

1×	node limit

Counts

599 → 541

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

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

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 y -1/200)
	0.0b	(+.f64 x (*.f64 y -1/200))
✓	0.0b	(+.f64 x (*.f64 y -1/200))
✓	0.1b	(*.f64 y -1/200)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite45.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`pow1_binary64`
648×	`add-log-exp_binary64`
648×	`log1p-expm1-u_binary64`
648×	`expm1-log1p-u_binary64`
635×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	130	9
2	1734	9

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.3%)

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	153
1	9	153
2	10	153

Stop Event

1×

saturated

Counts

82 → 49

Calls

Call 1

Inputs
(*.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)
(*.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 -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)
(+.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)

localize17.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.9b	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/40000))
	0.4b	(.f64 (.f64 y y) 1/40000)
	0.1b	(*.f64 y 1/200)
	0.0b	(+.f64 x (*.f64 y 1/200))
✓	0.1b	(*.f64 y 1/200)
	0.4b	(.f64 (.f64 y y) 1/40000)
	2.9b	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/40000))
✓	29.8b	(/.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)

series2.0ms (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	y	@	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)))

rewrite90.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`fma-def_binary64`
682×	`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	4145	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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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/200) y)) (cbrt.f64 (pow.f64 (exp.f64 1/200) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/200) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/200) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/200) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 1/200))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 1/40000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/200) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 1/200)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 1/200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8000000 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y 1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/200) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8000000 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 1/200)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 1/200)))))))

simplify13.0ms (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)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite31.0ms (1%)

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

simplify6.0ms (0.2%)

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

eval683.0ms (22.8%)

Compiler: Compiled 26308 to 16125 computations (38.7% saved)

prune238.0ms (7.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1044	1	1045
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	1045	6	1051

Error

Counts

1051 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.0b	(*.f64 -1/200 y)
▶	48.1b	(/.f64 (.f64 y (.f64 y -1/40000)) (+.f64 x (*.f64 y 1/200)))
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 y -1/200))
	32.0b	x
✓	32.3b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))

Compiler

Compiled 54 to 38 computations (29.6% saved)

localize33.0ms (1.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(*.f64 y -1/40000)
	0.1b	(*.f64 y 1/200)
	0.1b	(.f64 y (.f64 y -1/40000))
	0.0b	(+.f64 x (*.f64 y 1/200))
✓	0.1b	(.f64 y (.f64 y -1/40000))
	0.1b	(*.f64 y 1/200)
✓	0.3b	(*.f64 y -1/40000)
✓	18.9b	(/.f64 (.f64 y (.f64 y -1/40000)) (+.f64 x (*.f64 y 1/200)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series7.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (.f64 y (.f64 y -1/40000)) (+.f64 x (*.f64 y 1/200)))
1.0ms	x	@	inf	(/.f64 (.f64 y (.f64 y -1/40000)) (+.f64 x (*.f64 y 1/200)))
1.0ms	x	@	0	(/.f64 (.f64 y (.f64 y -1/40000)) (+.f64 x (*.f64 y 1/200)))
0.0ms	x	@	-inf	(/.f64 (.f64 y (.f64 y -1/40000)) (+.f64 x (*.f64 y 1/200)))
0.0ms	y	@	inf	(/.f64 (.f64 y (.f64 y -1/40000)) (+.f64 x (*.f64 y 1/200)))

rewrite66.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log-prod_binary64`
358×	`pow-prod-down_binary64`
284×	`pow2_binary64`
262×	`fma-def_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	220	25
2	3089	25

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y (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 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y (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 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 -40000 (/.f64 (fma.f64 y 1/200 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 y -1/40000) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -1/40000) (*.f64 y (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 y -1/40000)) (/.f64 1 (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y y) 1/40000) (/.f64 1 (neg.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 -1/40000 (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/1600000000)) (*.f64 (cbrt.f64 (*.f64 y (*.f64 y -1/40000))) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))) 2) (cbrt.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 -1/40000)) (*.f64 (*.f64 y (sqrt.f64 -1/40000)) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 -1/40000)) (sqrt.f64 (fma.f64 y 1/200 x))) (/.f64 (*.f64 y (sqrt.f64 -1/40000)) (sqrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y 1/200 x)) (*.f64 y (*.f64 y -1/40000)))))) (#(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) 1) (/.f64 y (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) 1) (/.f64 -1/40000 (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/1600000000)) 1) (/.f64 (cbrt.f64 (*.f64 y (*.f64 y -1/40000))) (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 -1/40000)) 1) (/.f64 (*.f64 y (sqrt.f64 -1/40000)) (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (pow.f64 (fma.f64 y 1/200 x) 2))) (/.f64 (*.f64 y -1/40000) (cbrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -1/40000) (cbrt.f64 (pow.f64 (fma.f64 y 1/200 x) 2))) (/.f64 y (cbrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) -2) (/.f64 (*.f64 y (*.f64 y -1/40000)) (cbrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (cbrt.f64 (pow.f64 (fma.f64 y 1/200 x) 2))) (/.f64 -1/40000 (cbrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/1600000000)) (cbrt.f64 (pow.f64 (fma.f64 y 1/200 x) 2))) (cbrt.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 -1/40000)) (cbrt.f64 (pow.f64 (fma.f64 y 1/200 x) 2))) (/.f64 (*.f64 y (sqrt.f64 -1/40000)) (cbrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (fma.f64 y 1/200 x))) (/.f64 (*.f64 y -1/40000) (sqrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -1/40000) (sqrt.f64 (fma.f64 y 1/200 x))) (/.f64 y (sqrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y 1/200 x) -1/2) (/.f64 (*.f64 y (*.f64 y -1/40000)) (sqrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (sqrt.f64 (fma.f64 y 1/200 x))) (/.f64 -1/40000 (sqrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/1600000000)) (sqrt.f64 (fma.f64 y 1/200 x))) (/.f64 (cbrt.f64 (*.f64 y (*.f64 y -1/40000))) (sqrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (*.f64 y -1/40000)) (fma.f64 (pow.f64 y 3) 1/8000000 (pow.f64 x 3))) (fma.f64 (*.f64 y 1/200) (fma.f64 y 1/200 (neg.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (*.f64 y -1/40000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (+.f64 x (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 y 4) 1/1600000000) (pow.f64 (fma.f64 y 1/200 x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))) 3)))) (#(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 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 (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 (/.f64 (*.f64 (pow.f64 y -2) (/.f64 (fma.f64 y 1/200 x) -1/40000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (*.f64 y -1/40000)) (neg.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 y 4) 1/1600000000) (pow.f64 (fma.f64 y 1/200 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -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 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (sqrt.f64 -1/40000)) (sqrt.f64 (fma.f64 y 1/200 x)))) 2))))) (#(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 (*.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (fma.f64 y 1/200 x)) (*.f64 y -1/40000))))))))

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

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

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-def_binary64`
562×	`distribute-rgt-out_binary64`
541×	`associate-/r*_binary64`
514×	`distribute-lft-out_binary64`
424×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	642
1	121	642
2	332	642
3	1170	600
4	5434	576
5	6615	576

Stop Event

1×	node limit

Counts

150 → 121

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

eval47.0ms (1.6%)

Compiler: Compiled 2148 to 1501 computations (30.1% saved)

prune21.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	141	6	147

Error

Counts

147 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.0b	(*.f64 -1/200 y)
✓	48.1b	(/.f64 (.f64 y (.f64 y -1/40000)) (+.f64 x (*.f64 y 1/200)))
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 y -1/200))
	32.0b	x
✓	32.3b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))

Compiler

Compiled 54 to 38 computations (29.6% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.0b	(*.f64 -1/200 y)
✓	48.1b	(/.f64 (.f64 y (.f64 y -1/40000)) (+.f64 x (*.f64 y 1/200)))
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 y -1/200))
	32.0b	x
✓	32.3b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes35.0ms (1.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	x
6.0ms	(/.f64 y 200)
6.0ms	(-.f64 x (/.f64 y 200))
5.0ms	y

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 81 to 50 computations (38.3% saved)

regimes8.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes31.0ms (1%)

Accuracy

Total -51.2b remaining (-477.1%)

Threshold costs -51.2b (-477.1%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	y
12.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
10.7b	5	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch100.0ms (3.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	1.732925991241362e-45	1.8583906253107997e-36
26.0ms	-3925050.6950988495	-1.7706044194338566e-7
27.0ms	-3.775376165652603e+40	-6.992398527418345e+34
22.0ms	-3.839681149582302e+84	-8.149437138403884e+82

Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-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	23	53
1	27	53
2	34	53
3	38	53
4	41	53
5	42	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 y -1/200))
(if (<=.f64 y -3839681149582302149311952260939272399103441029753326297059621998661735604295659683840) (.f64 -1/200 y) (if (<=.f64 y -37753761656526032035966125275752601485312) x (if (<=.f64 y -16857964370591626/4294967296) (.f64 -1/200 y) (if (<=.f64 y 5569409406421933/3213876088517980551083924184682325205044405987565585670602752) x (*.f64 -1/200 y)))))
x

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 y -1/200))
(if (<=.f64 y -3839681149582302149311952260939272399103441029753326297059621998661735604295659683840) (.f64 -1/200 y) (if (<=.f64 y -37753761656526032035966125275752601485312) x (if (<=.f64 y -16857964370591626/4294967296) (.f64 -1/200 y) (if (<=.f64 y 5569409406421933/3213876088517980551083924184682325205044405987565585670602752) x (*.f64 -1/200 y)))))
(if (<=.f64 y -3839681149582302149311952260939272399103441029753326297059621998661735604295659683840) (.f64 y -1/200) (if (<=.f64 y -37753761656526032035966125275752601485312) x (if (<=.f64 y -8428982185295813/2147483648) (.f64 y -1/200) (if (<=.f64 y 5569409406421933/3213876088517980551083924184682325205044405987565585670602752) x (*.f64 y -1/200)))))
x

end68.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 86 to 58 computations (32.6% 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	458	10
9	504	10
10	506	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	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	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	458	10
9	504	10
10	506	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	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Details

analyze70.0ms (2.3%)

sample831.0ms (27.7%)

preprocess30.0ms (1%)

simplify13.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite48.0ms (1.6%)

simplify10.0ms (0.3%)

localize4.0ms (0.1%)

series2.0ms (0.1%)

rewrite34.0ms (1.1%)

simplify8.0ms (0.3%)

eval17.0ms (0.6%)

prune11.0ms (0.4%)

localize20.0ms (0.7%)

series13.0ms (0.4%)

rewrite147.0ms (4.9%)

simplify94.0ms (3.1%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite45.0ms (1.5%)

simplify9.0ms (0.3%)

localize17.0ms (0.6%)

series2.0ms (0.1%)

rewrite90.0ms (3%)

simplify13.0ms (0.4%)

localize3.0ms (0.1%)

series1.0ms (0%)

rewrite31.0ms (1%)

simplify6.0ms (0.2%)

eval683.0ms (22.8%)

prune238.0ms (7.9%)

localize33.0ms (1.1%)

series7.0ms (0.2%)

rewrite66.0ms (2.2%)

simplify64.0ms (2.1%)

eval47.0ms (1.6%)

prune21.0ms (0.7%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes35.0ms (1.2%)

regimes8.0ms (0.3%)

regimes31.0ms (1%)

bsearch100.0ms (3.3%)

simplify6.0ms (0.2%)

end68.0ms (2.3%)

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	458	10
9	504	10
10	506	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	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5