Details

analyze75.0ms (5.2%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample922.0ms (63.5%)

Results

871.0ms	8109×	body	256	valid
14.0ms	54×	body	2048	valid
9.0ms	55×	body	1024	valid
6.0ms	79×	body	256	infinite
4.0ms	38×	body	512	valid

Bogosity

preprocess25.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

86×	`fma-neg_binary64`
48×	`fma-def_binary64`
26×	`cancel-sign-sub-inv_binary64`
24×	`distribute-rgt-in_binary64`
22×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	34	14
3	70	14
4	114	14
5	185	14
6	273	14
7	374	14
8	422	14
9	424	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
31×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	40	7
4	67	7
5	96	7
6	167	7
7	270	7
8	383	7
9	456	7
10	540	7
11	556	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 200 (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1735	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify46.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

622×	`log-prod_binary64`
604×	`fma-def_binary64`
411×	`*-commutative_binary64`
349×	`associate-l_binary64`
344×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	340
1	155	307
2	476	307
3	2878	307
4	7173	307

Stop Event

1×	node limit

Counts

41 → 27

Calls

Call 1

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

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

eval5.0ms (0.3%)

Compiler: Compiled 268 to 151 computations (43.7% saved)

prune5.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Error

Counts

28 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	30.9b	(*.f64 200 x)
▶	32.2b	(*.f64 -200 y)

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize5.0ms (0.3%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.2%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.2%)

Counts

1 → 15

Calls

6 calls:

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

rewrite47.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
793×	`add-log-exp_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
778×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	171	8
2	2167	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify47.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-l_binary64`
550×	`div-sub_binary64`
491×	`associate-r_binary64`
266×	`fma-def_binary64`
264×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	674
1	233	634
2	814	601
3	5823	560

Stop Event

1×	node limit

Counts

52 → 48

Calls

Call 1

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

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

eval27.0ms (1.9%)

Compiler: Compiled 695 to 526 computations (24.3% saved)

prune7.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	48	4	52

Error

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	30.9b	(*.f64 200 x)
✓	32.2b	(*.f64 -200 y)

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes17.0ms (1.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(*.f64 200 (-.f64 x y))
4.0ms	(-.f64 x y)
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 200 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes15.0ms (1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(-.f64 x y)
3.0ms	(*.f64 200 (-.f64 x y))
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 200 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes35.0ms (2.4%)

Accuracy

Total -47.8b remaining (-347.4%)

Threshold costs -47.8b (-347.4%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	y
13.0ms	x

Results

Error	Segments	Branch
13.8b	5	`x`
13.8b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch50.0ms (3.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
11.0ms	30.235762196284792	5700.418497074146
12.0ms	-1.2329469406084288e-76	-9.388370925288632e-81
11.0ms	-2.426027231738284e-31	-1.2687543143850984e-32
16.0ms	-4.310685717486703e+77	-4.5927115381554246e+44

Results

42.0ms	522×	body	256	valid
1.0ms	5×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 408 to 339 computations (16.9% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	65
1	29	65
2	34	65
3	36	65
4	37	65

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 200 (-.f64 x y))
(if (<=.f64 y -740000000000000014921921955801342796138770151243776) (.f64 -200 y) (if (<=.f64 y -5389287287657705/182687704666362864775460604089535377456991567872) (.f64 200 x) (if (<=.f64 y -7822218149124427/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (.f64 -200 y) (if (<=.f64 y 4500) (.f64 200 x) (*.f64 -200 y)))))
(*.f64 -200 y)

Outputs
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 200 (-.f64 x y))
(if (<=.f64 y -740000000000000014921921955801342796138770151243776) (.f64 -200 y) (if (<=.f64 y -5389287287657705/182687704666362864775460604089535377456991567872) (.f64 200 x) (if (<=.f64 y -7822218149124427/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (.f64 -200 y) (if (<=.f64 y 4500) (.f64 200 x) (*.f64 -200 y)))))
(*.f64 -200 y)

Compiler

Compiled 54 to 40 computations (25.9% saved)

soundness0.0ms (0%)

end32.0ms (2.2%)

Compiler: Compiled 48 to 34 computations (29.2% saved)

Details

analyze75.0ms (5.2%)

sample922.0ms (63.5%)

preprocess25.0ms (1.7%)

simplify18.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite47.0ms (3.2%)

simplify46.0ms (3.2%)

eval5.0ms (0.3%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

localize3.0ms (0.2%)

localize7.0ms (0.5%)

series2.0ms (0.2%)

rewrite47.0ms (3.3%)

simplify47.0ms (3.3%)

eval27.0ms (1.9%)

prune7.0ms (0.5%)

regimes17.0ms (1.2%)

regimes15.0ms (1%)

regimes35.0ms (2.4%)

bsearch50.0ms (3.4%)

simplify5.0ms (0.3%)

soundness0.0ms (0%)

end32.0ms (2.2%)

Profiling