Details

analyze122.0ms (8.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample732.0ms (48.6%)

Results

719.0ms

8256×

body

128

valid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess22.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify11.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

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))

rewrite40.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`pow1_binary64`
709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
73×	`add-sqr-sqrt_binary64`
69×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1898	7

Stop Event

1×	node limit

Counts

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

Outputs

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

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 42

Calls

Call 1

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

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

prune22.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))
	32.4b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2)) (+.f64 x (*.f64 y 1/200)))
▶	0.1b	(fma.f64 y -1/200 x)

Compiler

Compiled 545 to 376 computations (31% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite30.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`pow1_binary64`
417×	`add-log-exp_binary64`
417×	`log1p-expm1-u_binary64`
417×	`expm1-log1p-u_binary64`
409×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

45 → 25

Calls

Call 1

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

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

prune13.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	25	3	28

Error

Counts

28 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))
▶	32.4b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2)) (+.f64 x (*.f64 y 1/200)))
✓	0.1b	(fma.f64 y -1/200 x)

Compiler

Compiled 246 to 167 computations (32.1% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y 1/200)
✓	0.3b	(pow.f64 (*.f64 y 1/200) 2)
✓	5.5b	(-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2))
✓	30.4b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2)) (+.f64 x (*.f64 y 1/200)))

series10.0ms (0.6%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2)) (+.f64 x (*.f64 y 1/200)))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2)) (+.f64 x (*.f64 y 1/200)))
1.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2)) (+.f64 x (*.f64 y 1/200)))
1.0ms	y	@	inf	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2)) (+.f64 x (*.f64 y 1/200)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2)) (+.f64 x (*.f64 y 1/200)))

rewrite92.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`fma-def_binary64`
253×	`fma-neg_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
201×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	256	29
2	3668	29

Stop Event

1×	node limit

Counts

4 → 335

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 y) 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 -1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2)) (cbrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x x) (fma.f64 y 1/200 x)) (neg.f64 (/.f64 (pow.f64 (.f64 y 1/200) 2) (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (fma.f64 -1/200 y (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (fma.f64 (neg.f64 y) 1/200 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (fma.f64 (neg.f64 (.f64 y 1/200)) 1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 -1/200 y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (fma.f64 y 1/200 x)) (/.f64 (pow.f64 (.f64 y 1/200) 2) (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (.f64 -1/200 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (/.f64 1 (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (.f64 -1/200 y))) (cbrt.f64 (pow.f64 (+.f64 x (.f64 -1/200 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 x (.f64 -1/200 y)) 2)) (cbrt.f64 (+.f64 x (.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (.f64 -1/200 y))) (sqrt.f64 (+.f64 x (.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (/.f64 1 (neg.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 y 1/200 x)) (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 -1/200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2)) (/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (cbrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 y 1/200 x))) (/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (sqrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 1) (/.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (fma.f64 y 1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2) (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2)) (cbrt.f64 (+.f64 x (.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (cbrt.f64 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2) (sqrt.f64 (fma.f64 y 1/200 x))) (/.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (sqrt.f64 (fma.f64 y 1/200 x))))))) (#(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 (/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (+.f64 x (.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 1/8000000 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 (.f64 y 1/200) (-.f64 (.f64 y 1/200) x) (.f64 x x)))))) 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egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 (.f64 y y) -1/40000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 y y) -1/40000)) (cbrt.f64 (.f64 (.f64 y y) -1/40000))) (cbrt.f64 (.f64 (.f64 y y) -1/40000)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 y y) -1/40000)) (sqrt.f64 (.f64 (.f64 y y) -1/40000)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (.f64 y 1/200)) (.f64 y 1/200) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (.f64 y 1/200) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 y 1/200) 4))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (.f64 y y)) 1/40000 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 y y) -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 (*.f64 y y) -1/40000) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 y 1/200) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 1/200 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/200 (.f64 y (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 1/200) (.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y 1/200) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 y 1/200) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/40000 (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (cbrt.f64 (pow.f64 (.f64 y 1/200) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 (cbrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 y 1/200) 4)) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y 1/200)) (.f64 (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y y) 1/40000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y 1/200) (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y 1/200) y) 1/200)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y 1/200) 1/200) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y 1/200) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2)) (cbrt.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y 1/200) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 y 1/200) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 y 1/200) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y 1/200) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 y 1/200))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 y 1/200) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 y 1/200) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y 1/200))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y 1/200) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y 1/200) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y 1/200)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y 1/200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/8000000 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y 1/200) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/200) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/8000000 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y 1/200)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 1/200)))))))

simplify81.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

696×	`sqr-pow_binary64`
484×	`unswap-sqr_binary64`
387×	`fabs-mul_binary64`
362×	`cube-prod_binary64`
281×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	504
1	31	468
2	53	468
3	103	468
4	248	468
5	739	468
6	1120	468
7	1936	468
8	2139	468
9	2379	468
10	2689	468
11	3139	468
12	3730	468
13	4441	468

Stop Event

1×	node limit

Counts

407 → 349

Calls

Call 1

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

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

prune217.0ms (14.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	366	0	366
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	366	3	369

Error

Counts

369 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (/.f64 y 200))
✓	32.4b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 1/200) 2)) (+.f64 x (*.f64 y 1/200)))
✓	0.1b	(fma.f64 y -1/200 x)

Compiler

Compiled 8374 to 5312 computations (36.6% saved)

regimes30.0ms (2%)

Accuracy

Total 0.0b remaining (74.5%)

Threshold costs 0.0b (74.5%)

Counts

10 → 1

Compiler

Compiled 131 to 81 computations (38.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	19	7
4	22	7
5	23	7

Stop Event

1×

saturated

Calls

Call 1

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

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

end44.0ms (2.9%)

Stop Event

1×

done

Compiler

Compiled 44 to 31 computations (29.5% saved)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Details

analyze122.0ms (8.1%)

sample732.0ms (48.6%)

preprocess22.0ms (1.4%)

simplify11.0ms (0.7%)

prune2.0ms (0.2%)

localize3.0ms (0.2%)

series2.0ms (0.2%)

rewrite40.0ms (2.6%)

simplify9.0ms (0.6%)

prune22.0ms (1.4%)

localize3.0ms (0.2%)

series2.0ms (0.2%)

rewrite30.0ms (2%)

simplify9.0ms (0.6%)

prune13.0ms (0.8%)

localize8.0ms (0.5%)

series10.0ms (0.6%)

rewrite92.0ms (6.1%)

simplify81.0ms (5.4%)

prune217.0ms (14.4%)

regimes30.0ms (2%)

simplify2.0ms (0.1%)

end44.0ms (2.9%)

Profiling

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5