Details

analyze91.0ms (4.9%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.0s (53.7%)

Results

993.0ms

8256×

body

256

valid

Bogosity

preprocess27.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

224×	`fma-def`
72×	`associate--r+`
72×	`associate-+l-`
60×	`+-commutative`
54×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
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)

simplify22.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

128×	`fma-def`
52×	`associate--r+`
48×	`associate-+l-`
40×	`*-commutative`
40×	`+-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9

Stop Event

1×

saturated

Counts

1 → 4

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 20 to 12 computations (40% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

Counts

5 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

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

rewrite64.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`add-sqr-sqrt`
1580×	`*-un-lft-identity`
1486×	`add-cube-cbrt`
1472×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	150	16
2	1943	16

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

Outputs

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

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

simplify59.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1790×	`associate-+r+`
1474×	`associate-l`
1236×	`associate-+l+`
502×	`+-commutative`
494×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1164
1	272	1066
2	1003	1046
3	4946	1046

Stop Event

1×	node limit

Counts

74 → 62

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 (exp.f64 (log1p.f64 (*.f64 -1/200 y))) 1)
(pow.f64 (*.f64 -1/200 y) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)
(pow.f64 (*.f64 -1/8000000 (pow.f64 y 3)) 1/3)
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 y) -1/200))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/200 y))))
(cbrt.f64 (*.f64 -1/8000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/200 y)))
(exp.f64 (log.f64 (*.f64 -1/200 y)))
(exp.f64 (.f64 (log.f64 (.f64 -1/200 y)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/200 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/200 y x))) 1)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 1/200 y))) (/.f64 (.f64 1/40000 (.f64 y y)) (+.f64 x (*.f64 1/200 y))))
(*.f64 (fma.f64 -1/200 y x) 1)
(*.f64 1 (fma.f64 -1/200 y x))
(*.f64 (sqrt.f64 (fma.f64 -1/200 y x)) (sqrt.f64 (fma.f64 -1/200 y x)))
(*.f64 (cbrt.f64 (fma.f64 -1/200 y x)) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2) (cbrt.f64 (fma.f64 -1/200 y x)))
(.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (/.f64 1 (+.f64 x (*.f64 1/200 y))))
(.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 1 (/.f64 (+.f64 x (.f64 1/200 y)) (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y)))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))) (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3)))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (+.f64 x (.f64 1/200 y)))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) 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 -1/200 y) x))))
(/.f64 (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 -1/200 y) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y)))) (neg.f64 (+.f64 x (.f64 1/200 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x)))))
(pow.f64 (fma.f64 -1/200 y x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/200 y x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/200 y x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/200 y x) 2))
(log.f64 (exp.f64 (fma.f64 -1/200 y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/200 y x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/200 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/200 y x)))
(exp.f64 (log.f64 (fma.f64 -1/200 y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/200 y x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(fma.f64 1 (*.f64 -1/200 y) x)
(fma.f64 1 x (*.f64 -1/200 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/200 y))
(fma.f64 (sqrt.f64 (.f64 -1/200 y)) (sqrt.f64 (.f64 -1/200 y)) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 -1/200 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/200 y)) 2) (cbrt.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)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/200 y))) 1)
(*.f64 -1/200 y)
(pow.f64 (*.f64 -1/200 y) 1)
(*.f64 -1/200 y)
(pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)
(*.f64 -1/200 y)
(pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)
(*.f64 -1/200 y)
(pow.f64 (*.f64 -1/8000000 (pow.f64 y 3)) 1/3)
(cbrt.f64 (*.f64 -1/8000000 (pow.f64 y 3)))
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(sqrt.f64 (.f64 y (.f64 y 1/40000)))
(log.f64 (pow.f64 (exp.f64 y) -1/200))
(*.f64 -1/200 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/200 y))))
(*.f64 -1/200 y)
(cbrt.f64 (*.f64 -1/8000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/200 y)))
(*.f64 -1/200 y)
(exp.f64 (log.f64 (*.f64 -1/200 y)))
(*.f64 -1/200 y)
(exp.f64 (.f64 (log.f64 (.f64 -1/200 y)) 1))
(*.f64 -1/200 y)
(log1p.f64 (expm1.f64 (*.f64 -1/200 y)))
(*.f64 -1/200 y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/200 y x))) 1)
(fma.f64 -1/200 y 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))))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(*.f64 (fma.f64 -1/200 y x) 1)
(fma.f64 -1/200 y x)
(*.f64 1 (fma.f64 -1/200 y x))
(fma.f64 -1/200 y x)
(*.f64 (sqrt.f64 (fma.f64 -1/200 y x)) (sqrt.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(*.f64 (cbrt.f64 (fma.f64 -1/200 y x)) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2))
(fma.f64 -1/200 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2) (cbrt.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (/.f64 1 (+.f64 x (*.f64 1/200 y))))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x)))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 x))))
(/.f64 1 (/.f64 (+.f64 x (.f64 1/200 y)) (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y)))))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))) (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3)))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (+.f64 x (.f64 1/200 y)))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 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 -1/200 y) x))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 x))))
(/.f64 (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 -1/200 y) x))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y)))) (neg.f64 (+.f64 x (.f64 1/200 y))))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x)))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 x))))
(pow.f64 (fma.f64 -1/200 y x) 1)
(fma.f64 -1/200 y x)
(pow.f64 (sqrt.f64 (fma.f64 -1/200 y x)) 2)
(fma.f64 -1/200 y x)
(pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 3)
(fma.f64 -1/200 y x)
(pow.f64 (pow.f64 (fma.f64 -1/200 y x) 3) 1/3)
(fma.f64 -1/200 y x)
(sqrt.f64 (pow.f64 (fma.f64 -1/200 y x) 2))
(fma.f64 -1/200 y x)
(log.f64 (exp.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/200 y x))))
(fma.f64 -1/200 y x)
(cbrt.f64 (pow.f64 (fma.f64 -1/200 y x) 3))
(fma.f64 -1/200 y x)
(expm1.f64 (log1p.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(exp.f64 (log.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/200 y x)) 1))
(fma.f64 -1/200 y x)
(log1p.f64 (expm1.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(fma.f64 -1/200 y x)
(fma.f64 1 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(fma.f64 1 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 (sqrt.f64 (.f64 -1/200 y)) (sqrt.f64 (.f64 -1/200 y)) x)
(fma.f64 -1/200 y x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 -1/200 y))
(fma.f64 -1/200 y (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/200 y)) 2) (cbrt.f64 (.f64 -1/200 y)) x)
(fma.f64 -1/200 y x)

localize133.0ms (7.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1700×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
158×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	159	13
2	2107	13

Stop Event

1×	node limit

Counts

1 → 38

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

simplify75.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1108×	`associate-*r/`
782×	`*-commutative`
734×	`associate-+r+`
718×	`fma-def`
576×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	886
1	286	816
2	1184	816
3	4272	816

Stop Event

1×	node limit

Counts

62 → 48

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 x (*.f64 y -1/200))
(+.f64 x (.f64 (.f64 y -1/200) 1))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (*.f64 y 1/200)))
(+.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)))
(+.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)))
(+.f64 (*.f64 y -1/200) x)
(.f64 (+.f64 x (.f64 y -1/200)) 1)
(.f64 1 (+.f64 x (.f64 y -1/200)))
(.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))
(.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.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))))
(.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))))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
(/.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))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
(/.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)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))
(/.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)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))
(/.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))))))
(pow.f64 (+.f64 x (*.f64 y -1/200)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 y -1/200)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))
(exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 y -1/200))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 1 x (*.f64 y -1/200))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y -1/200))

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 x (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(+.f64 x (.f64 (.f64 y -1/200) 1))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (*.f64 y 1/200)))
(fma.f64 -1/200 y 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)))
(fma.f64 -1/200 y 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)))
(fma.f64 -1/200 y x)
(+.f64 (*.f64 y -1/200) x)
(fma.f64 -1/200 y x)
(.f64 (+.f64 x (.f64 y -1/200)) 1)
(fma.f64 -1/200 y x)
(.f64 1 (+.f64 x (.f64 y -1/200)))
(fma.f64 -1/200 y x)
(.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))
(fma.f64 -1/200 y x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))
(fma.f64 -1/200 y 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))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))
(.f64 (+.f64 (sqrt.f64 (.f64 y 1/200)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
(fma.f64 -1/200 y 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))))
(.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))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
(fma.f64 -1/200 y 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)))))
(.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))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))
(fma.f64 -1/200 y 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)))))
(.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))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))
(fma.f64 -1/200 y 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))))))
(.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))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(pow.f64 (+.f64 x (*.f64 y -1/200)) 1)
(fma.f64 -1/200 y x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)
(fma.f64 -1/200 y x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)
(fma.f64 -1/200 y x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)
(fma.f64 -1/200 y x)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))
(fma.f64 -1/200 y x)
(log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 y -1/200)))))
(fma.f64 -1/200 y x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))
(fma.f64 -1/200 y x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 y -1/200))) 1))
(fma.f64 -1/200 y x)
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(fma.f64 1 x (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y -1/200))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 -1/200 y))
(fma.f64 -1/200 y (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))

eval37.0ms (2%)

Compiler: Compiled 1263 to 811 computations (35.8% saved)

prune15.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Error

Counts

112 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 -1/200 y))
▶	30.7b	(*.f64 -1/200 y)
	32.5b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval2.0ms (0.1%)

Compiler: Compiled 85 to 69 computations (18.8% saved)

prune5.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	14	4	18

Error

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 -1/200 y))
✓	30.7b	(*.f64 -1/200 y)
	32.5b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 -1/200 y))
✓	30.7b	(*.f64 -1/200 y)
	32.5b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 -1/200 y))
✓	30.7b	(*.f64 -1/200 y)
	32.5b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes21.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(-.f64 x (/.f64 y 200))
4.0ms	x
4.0ms	(/.f64 y 200)
4.0ms	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 34 to 23 computations (32.4% saved)

regimes45.0ms (2.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes68.0ms (3.6%)

Accuracy

Total -49.2b remaining (-390%)

Threshold costs -49.2b (-390%)

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:

49.0ms	x
18.0ms	y

Results

Error	Segments	Branch
16.0b	3	`x`
12.6b	5	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch72.0ms (3.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	9.790937207508712e+46	1.4847367392144646e+56
7.0ms	7.022190677495665e+24	1.4065555086830494e+25
12.0ms	4.198766720827809e-6	0.026762982049219713
14.0ms	-6.305258189035057e-75	-2.229623103267834e-82

Results

66.0ms

496×

body

256

valid

Compiler

Compiled 322 to 257 computations (20.2% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
8×	`+-commutative`
6×	`sub-neg`
6×	`not-not`
6×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	86
1	35	86
2	45	86
3	55	86
4	62	86
5	67	86
6	68	86
7	69	86

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(if (<=.f64 y -7092144455206147/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 -1/200 y) (if (<=.f64 y 3458764513820541/144115188075855872) x (if (<=.f64 y 9000000000000000385875968) (.f64 -1/200 y) (if (<=.f64 y 190000000000000016443674020025145666959369568256) x (*.f64 -1/200 y)))))
x

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(+.f64 x (*.f64 y -1/200))
(if (<=.f64 y -7092144455206147/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 -1/200 y) (if (<=.f64 y 3458764513820541/144115188075855872) x (if (<=.f64 y 9000000000000000385875968) (.f64 -1/200 y) (if (<=.f64 y 190000000000000016443674020025145666959369568256) x (*.f64 -1/200 y)))))
(if (<=.f64 y -7092144455206147/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 y -1/200) (if (<=.f64 y 3458764513820541/144115188075855872) x (if (<=.f64 y 9000000000000000385875968) (.f64 y -1/200) (if (<=.f64 y 190000000000000016443674020025145666959369568256) x (*.f64 y -1/200)))))
x

Compiler

Compiled 46 to 32 computations (30.4% saved)

soundness0.0ms (0%)

end50.0ms (2.7%)

Compiler: Compiled 40 to 26 computations (35% saved)

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9

Details

analyze91.0ms (4.9%)

sample1.0s (53.7%)

preprocess27.0ms (1.4%)

simplify22.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite64.0ms (3.4%)

simplify59.0ms (3.2%)

localize133.0ms (7.1%)

series1.0ms (0%)

rewrite56.0ms (3%)

simplify75.0ms (4%)

eval37.0ms (2%)

prune15.0ms (0.8%)

localize3.0ms (0.2%)

eval2.0ms (0.1%)

prune5.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes21.0ms (1.1%)

regimes45.0ms (2.4%)

regimes68.0ms (3.6%)

bsearch72.0ms (3.8%)

simplify7.0ms (0.4%)

soundness0.0ms (0%)

end50.0ms (2.7%)

Profiling

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9