Details

analyze48.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample800.0ms (42%)

Results

789.0ms

8256×

body

256

valid

preprocess20.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 y -1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -1/200) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x (.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x 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) (*.f64 (*.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y 1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (neg.f64 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x (*.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) (*.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

60 → 40

Calls

Call 1

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

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

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite30.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify8.0ms (0.4%)

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)

eval16.0ms (0.8%)

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

prune14.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	7	67

Error

0.0b

Counts

67 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(*.f64 -1/200 y)
▶	29.9b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
	31.1b	x
✓	0.1b	(fma.f64 y -1/200 x)
▶	34.5b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
✓	0.1b	(-.f64 x (/.f64 y 200))
▶	0.1b	(+.f64 x (*.f64 y -1/200))

Compiler

Compiled 57 to 39 computations (31.6% saved)

localize5.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite41.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	153
1	9	153
2	10	153

Stop Event

1×

saturated

Counts

82 → 49

Calls

Call 1

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

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

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
	0.1b	(*.f64 y -1/200)
	0.1b	(*.f64 y -1/200)
✓	0.2b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0.2%)

Counts

1 → 13

Calls

6 calls:

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

rewrite35.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
561×	`add-log-exp_binary64`
561×	`log1p-expm1-u_binary64`
561×	`expm1-log1p-u_binary64`
548×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	139	7
2	1548	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	58
1	9	58
2	10	58

Stop Event

1×

saturated

Counts

33 → 24

Calls

Call 1

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

localize22.0ms (1.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(.f64 (.f64 y y) 1/40000)
	0.2b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
	0.1b	(*.f64 y 1/200)
	0.0b	(+.f64 x (*.f64 y 1/200))
✓	0.2b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
✓	0.6b	(.f64 (.f64 y y) 1/40000)
✓	2.9b	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/40000))
✓	27.9b	(/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)))

Compiler

Compiled 67 to 33 computations (50.7% saved)

series12.0ms (0.6%)

Counts

4 → 84

Calls

21 calls:

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

rewrite139.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	320	35
2	4474	35

Stop Event

1×	node limit

Counts

4 → 498

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x (.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y 1/200 x) (/.f64 1 (fma.f64 x x (.f64 (.f64 y y) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x (.f64 -1/200 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 x (.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (+.f64 x (.f64 -1/200 y)))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (.f64 -1/200 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (.f64 -1/200 y)) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (.f64 -1/200 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) (.f64 (cbrt.f64 (fma.f64 y 1/200 x)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 x (.f64 -1/200 y)))) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 -1/200 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y 1/200 x)) (.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 y 1/200 x)) (/.f64 1 (neg.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (fma.f64 y 1/200 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y 1/200 x)) (fma.f64 x x (.f64 (.f64 y y) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) 1) (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (fma.f64 x x (.f64 (.f64 y y) -1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (/.f64 (fma.f64 y 1/200 x) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (.f64 -1/200 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (/.f64 (sqrt.f64 (fma.f64 y 1/200 x)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))) (/.f64 (fma.f64 y 1/200 x) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/200 x)) 2) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))) (/.f64 (cbrt.f64 (fma.f64 y 1/200 x)) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 y 1/200 x) (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/64000000000000))) (fma.f64 (.f64 y (.f64 y 1/40000)) (fma.f64 x x (.f64 y (.f64 y 1/40000))) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 y 1/200 x) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/1600000000))) (fma.f64 x x (.f64 y (.f64 y 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 -1/200 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (.f64 -1/200 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (.f64 -1/200 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y 1/200 x) (neg.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (.f64 -1/200 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y 1/200 x) 3) (pow.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (.f64 -1/200 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (.f64 -1/200 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 x (.f64 -1/200 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (*.f64 -1/200 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 (.f64 y y) -1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) -1/40000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (fma.f64 (.f64 y y) -1/40000 (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 (neg.f64 (.f64 y 1/40000)) y (.f64 y (.f64 y 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 (.f64 (.f64 y y) -1/40000) 1 (.f64 y (.f64 y 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 y 1/40000)))) (cbrt.f64 (.f64 (pow.f64 y 4) 1/1600000000)) (.f64 y (.f64 y 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (.f64 (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (+.f64 (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000))) (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000))) (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y y) -1/40000) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))) (cbrt.f64 (exp.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))))))))) (#(struct:change #<rule 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x)) 1) (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (.f64 (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000))) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) 1) (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (fma.f64 -1/200 y (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (fma.f64 (neg.f64 y) 1/200 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (fma.f64 (neg.f64 (.f64 y 1/200)) 1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (cbrt.f64 (.f64 y (.f64 y 1/40000))) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (.f64 (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000))) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000))) (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000))) (fma.f64 -1/200 y (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000))) (fma.f64 (neg.f64 y) 1/200 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000))) (fma.f64 (neg.f64 (.f64 y 1/200)) 1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (cbrt.f64 (.f64 y (.f64 y 1/40000))) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000))) (.f64 (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000))) (/.f64 1 (fma.f64 y 1/200 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000)))) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/40000))) (.f64 (/.f64 1 (fma.f64 y 1/200 x)) (fma.f64 (.f64 y y) -1/40000 (.f64 y (.f64 y 1/40000)))))))))

simplify73.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-def_binary64`
789×	`associate-/r*_binary64`
573×	`fma-neg_binary64`
530×	`associate-*l/_binary64`
448×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	984
1	137	936
2	380	930
3	1419	906
4	7094	894

Stop Event

1×	node limit

Counts

582 → 525

Calls

Call 1

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

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

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite33.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -1/200 y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -1/200 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/100))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) -1/400)) (log.f64 (pow.f64 (exp.f64 y) -1/400)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1/200 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/200 y)) (+.f64 1 (*.f64 -1/200 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1/200 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/200 y)) (+.f64 1 (*.f64 -1/200 y))) 1) (+.f64 (+.f64 1 (*.f64 -1/200 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/200 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 1/40000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/200 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/200 y))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/200 y)))) (sqrt.f64 (log.f64 (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/200 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -1/200 y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/200 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/200 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/200 y)))))))

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

eval270.0ms (14.2%)

Compiler: Compiled 14770 to 9356 computations (36.7% saved)

prune76.0ms (4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	634	1	635
Fresh	1	0	1
Picked	0	1	1
Done	0	5	5
Total	635	7	642

Error

0.0b

Counts

642 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
	31.1b	x
✓	32.1b	(*.f64 -1/200 y)
✓	0.1b	(fma.f64 y -1/200 x)
✓	34.5b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
✓	0.1b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 y -1/200))

Compiler

Compiled 57 to 39 computations (31.6% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

0.0b

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
	31.1b	x
✓	32.1b	(*.f64 -1/200 y)
✓	0.1b	(fma.f64 y -1/200 x)
✓	34.5b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
✓	0.1b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 y -1/200))

Compiler

Compiled 57 to 39 computations (31.6% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

0.0b

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
	31.1b	x
✓	32.1b	(*.f64 -1/200 y)
✓	0.1b	(fma.f64 y -1/200 x)
✓	34.5b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
✓	0.1b	(-.f64 x (/.f64 y 200))
✓	0.1b	(+.f64 x (*.f64 y -1/200))

Compiler

Compiled 57 to 39 computations (31.6% saved)

regimes21.0ms (1.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(-.f64 x (/.f64 y 200))`
0.1b	1	`(/.f64 y 200)`

Compiler

Compiled 63 to 40 computations (36.5% saved)

regimes8.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes23.0ms (1.2%)

Accuracy

Total -49.6b remaining (-408.5%)

Threshold costs -49.6b (-408.5%)

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:

13.0ms	y
9.0ms	x

Results

Error	Segments	Branch
15.4b	3	`x`
12.1b	5	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch53.0ms (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	3.1275473496041555e+133	6.871605534976896e+137
13.0ms	4.248878694335352e+91	4.2833519348666656e+92
13.0ms	3.279360955193455e-7	0.0077277807487019495
13.0ms	-5.404660162666139e-15	-7.105418254150075e-20

Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	27	53
2	34	53
3	38	53
4	41	53
5	42	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 y -1/200))
(if (<=.f64 y -6851220699233331/1267650600228229401496703205376) (.f64 -1/200 y) (if (<=.f64 y 6194537704014783/18889465931478580854784) x (if (<=.f64 y 42488786943353518756560959537097896133446887280414695507878195194989860232281967965386047488) (.f64 -1/200 y) (if (<=.f64 y 31275473496041554983612944736120078471845116668840921807223703618180390536143028900120569633522088690377795456456776283780792379768832) x (*.f64 -1/200 y)))))
x

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 y -1/200))
(if (<=.f64 y -6851220699233331/1267650600228229401496703205376) (.f64 -1/200 y) (if (<=.f64 y 6194537704014783/18889465931478580854784) x (if (<=.f64 y 42488786943353518756560959537097896133446887280414695507878195194989860232281967965386047488) (.f64 -1/200 y) (if (<=.f64 y 31275473496041554983612944736120078471845116668840921807223703618180390536143028900120569633522088690377795456456776283780792379768832) x (*.f64 -1/200 y)))))
(if (<=.f64 y -6851220699233331/1267650600228229401496703205376) (.f64 y -1/200) (if (<=.f64 y 6194537704014783/18889465931478580854784) x (if (<=.f64 y 42488786943353518756560959537097896133446887280414695507878195194989860232281967965386047488) (.f64 y -1/200) (if (<=.f64 y 31275473496041554983612944736120078471845116668840921807223703618180390536143028900120569633522088690377795456456776283780792379768832) x (*.f64 y -1/200)))))
x

end32.0ms (1.7%)

Stop Event

1×

fuel

Compiler

Compiled 86 to 58 computations (32.6% saved)

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

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

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

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

Details

analyze48.0ms (2.5%)

sample800.0ms (42%)

preprocess20.0ms (1%)

simplify10.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite39.0ms (2%)

simplify9.0ms (0.5%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite30.0ms (1.6%)

simplify8.0ms (0.4%)

eval16.0ms (0.8%)

prune14.0ms (0.7%)

localize5.0ms (0.3%)

series3.0ms (0.1%)

rewrite41.0ms (2.1%)

simplify10.0ms (0.5%)

localize7.0ms (0.4%)

series4.0ms (0.2%)

rewrite35.0ms (1.8%)

simplify9.0ms (0.5%)

localize22.0ms (1.2%)

series12.0ms (0.6%)

rewrite139.0ms (7.3%)

simplify73.0ms (3.9%)

localize3.0ms (0.2%)

series1.0ms (0%)

rewrite33.0ms (1.7%)

simplify6.0ms (0.3%)

eval270.0ms (14.2%)

prune76.0ms (4%)

eval0.0ms (0%)

prune4.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes21.0ms (1.1%)

regimes8.0ms (0.4%)

regimes23.0ms (1.2%)

bsearch53.0ms (2.8%)

simplify3.0ms (0.2%)

end32.0ms (1.7%)

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