Details

analyze85.0ms (4.8%)

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)

sample985.0ms (56%)

Results

971.0ms

8256×

body

256

valid

Bogosity

preprocess42.0ms (2.4%)

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)

simplify24.0ms (1.4%)

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
▶	0.1b	(fma.f64 y -1/200 x)
▶	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize5.0ms (0.3%)

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)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (3.2%)

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))))))

simplify67.0ms (3.8%)

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)))

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(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
0.0ms	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)

rewrite78.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`add-sqr-sqrt`
1114×	`*-un-lft-identity`
1062×	`pow1`
1038×	`add-cube-cbrt`
1028×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	121	9
2	1365	9

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 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (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 (-.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 /.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 pow.f64 (fma.f64 y -1/200 x) 1)))) (#(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 pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)))) (#(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 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 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (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 (-.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 /.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 pow.f64 (fma.f64 y -1/200 x) 1)))) (#(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 pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)))) (#(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 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)))))))

simplify65.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1114×	`fma-def`
1042×	`associate-r`
850×	`associate-l`
788×	`associate-/r/`
782×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	433
1	147	425
2	639	425
3	3205	421
4	7144	421

Stop Event

1×	node limit

Counts

45 → 29

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

eval19.0ms (1.1%)

Compiler: Compiled 869 to 570 computations (34.4% saved)

prune12.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	75	4	79

Error

Counts

79 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))
▶	34.7b	(*.f64 -1/200 y)
	29.0b	x

Compiler

Compiled 21 to 15 computations (28.6% 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)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 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)

rewrite57.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`associate-l`
904×	`add-sqr-sqrt`
884×	`*-un-lft-identity`
842×	`pow1`
828×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1112	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -1/200 y)

Outputs

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

simplify56.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

846×	`log-prod`
814×	`+-commutative`
770×	`associate-+r-`
696×	`fma-def`
670×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	143
1	83	77
2	260	77
3	1802	77
4	4058	77
5	6514	77

Stop Event

1×	node limit

Counts

11 → 13

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (*.f64 -1/200 y) 1) 1)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(pow.f64 (*.f64 -1/200 y) 1)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(pow.f64 (pow.f64 (*.f64 -1/200 y) 3) 1/3)
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(log.f64 (pow.f64 (exp.f64 -1/200) y))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(cbrt.f64 (pow.f64 (*.f64 -1/200 y) 3))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(expm1.f64 (log1p.f64 (*.f64 -1/200 y)))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(exp.f64 (log.f64 (*.f64 -1/200 y)))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)
(log1p.f64 (expm1.f64 (*.f64 -1/200 y)))
(+.f64 (*.f64 -1/200 y) 0)
(*.f64 -1/200 y)

eval2.0ms (0.1%)

Compiler: Compiled 73 to 59 computations (19.2% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	13	4	17

Error

Counts

17 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	34.7b	(*.f64 -1/200 y)
	29.0b	x

Compiler

Compiled 21 to 15 computations (28.6% 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
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	34.7b	(*.f64 -1/200 y)
	29.0b	x

Compiler

Compiled 21 to 15 computations (28.6% 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
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	34.7b	(*.f64 -1/200 y)
	29.0b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes20.0ms (1.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
5.0ms	(/.f64 y 200)
4.0ms	(-.f64 x (/.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 33 to 22 computations (33.3% saved)

regimes28.0ms (1.6%)

Accuracy

Total -49.3b remaining (-393.4%)

Threshold costs -49.3b (-393.4%)

Counts

2 → 7

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	x
8.0ms	y

Results

Error	Segments	Branch
12.5b	7	`x`
12.7b	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch99.0ms (5.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
14.0ms	3.037501601027189e+167	7.064958313760923e+173
11.0ms	5.58251515149734e+127	5.14992955278699e+130
40.0ms	1060.2399185685306	6092.12800358088
11.0ms	-1.1494548801007619e-175	-3.973343901917443e-179
7.0ms	-2.878130717480397e-144	-7.850205526714571e-145
15.0ms	-4.516911616582796e-69	-3.9388613988798525e-79

Results

91.0ms

736×

body

256

valid

Compiler

Compiled 472 to 377 computations (20.1% saved)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

16×	`not-or`
14×	`not-not`
14×	`if-not`
10×	`if-if-or-not`
6×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	93
1	39	93
2	49	93
3	59	93
4	69	93
5	80	93
6	87	93
7	92	93
8	94	93
9	95	93

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -4079604673674031/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) x (if (<=.f64 x -5623642243178995/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 -1/200 y) (if (<=.f64 x -8126847350139535/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184) x (if (<=.f64 x 1500) (*.f64 -1/200 y) (if (<=.f64 x 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792) x (if (<=.f64 x 309999999999999996256513311198568488802835814850710430118832050655878922631328935416169691696645964625326384634535826269957030785275455533108985651608368304465320607744) (*.f64 -1/200 y) x))))))

Outputs
(-.f64 x (/.f64 y 200))
(if (<=.f64 x -4079604673674031/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) x (if (<=.f64 x -5623642243178995/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (.f64 -1/200 y) (if (<=.f64 x -8126847350139535/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184) x (if (<=.f64 x 1500) (.f64 -1/200 y) (if (<=.f64 x 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792) x (if (<=.f64 x 309999999999999996256513311198568488802835814850710430118832050655878922631328935416169691696645964625326384634535826269957030785275455533108985651608368304465320607744) (*.f64 -1/200 y) x))))))
(if (<=.f64 x -4079604673674031/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) x (if (<=.f64 x -5623642243178995/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (.f64 y -1/200) (if (<=.f64 x -8126847350139535/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184) x (if (<=.f64 x 1500) (.f64 y -1/200) (if (<=.f64 x 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792) x (if (<=.f64 x 309999999999999996256513311198568488802835814850710430118832050655878922631328935416169691696645964625326384634535826269957030785275455533108985651608368304465320607744) (*.f64 y -1/200) x))))))
x

Compiler

Compiled 49 to 33 computations (32.7% saved)

soundness0.0ms (0%)

end27.0ms (1.5%)

Compiler: Compiled 45 to 29 computations (35.6% 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

analyze85.0ms (4.8%)

sample985.0ms (56%)

preprocess42.0ms (2.4%)

simplify24.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite57.0ms (3.2%)

simplify67.0ms (3.8%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite78.0ms (4.4%)

simplify65.0ms (3.7%)

eval19.0ms (1.1%)

prune12.0ms (0.7%)

localize3.0ms (0.2%)

series1.0ms (0.1%)

rewrite57.0ms (3.2%)

simplify56.0ms (3.2%)

eval2.0ms (0.1%)

prune3.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes20.0ms (1.2%)

regimes28.0ms (1.6%)

bsearch99.0ms (5.6%)

simplify10.0ms (0.6%)

soundness0.0ms (0%)

end27.0ms (1.5%)

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