Details

analyze50.0ms (1.9%)

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)

sample785.0ms (30.1%)

Results

759.0ms	8219×	body	256	valid
5.0ms	66×	body	256	invalid
4.0ms	18×	body	2048	valid
2.0ms	13×	body	1024	valid
1.0ms	6×	body	512	valid

preprocess33.0ms (1.3%)

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 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))

Outputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify32.0ms (1.2%)

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 500 (-.f64 x y))

Outputs
(*.f64 500 (-.f64 x y))

eval1.0ms (0%)

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

prune1.0ms (0.1%)

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 500 (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 500 (-.f64 x y))
1.0ms	x	@	-inf	(*.f64 500 (-.f64 x y))
1.0ms	x	@	0	(*.f64 500 (-.f64 x y))
1.0ms	y	@	inf	(*.f64 500 (-.f64 x y))
1.0ms	y	@	-inf	(*.f64 500 (-.f64 x y))

rewrite90.0ms (3.5%)

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 500 (-.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 500) (.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 500 x) (.f64 500 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 500 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (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)) 500) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 500 (-.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 500 (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (-.f64 x y) 2) 250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 500 (-.f64 x y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 500) (*.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 500 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 500 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (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)) 500) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.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 500 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))))

simplify18.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	12	168
2	15	168

Stop Event

1×

saturated

Counts

41 → 21

Calls

Call 1

Inputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))

Outputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))

eval28.0ms (1.1%)

Compiler: Compiled 184 to 107 computations (41.8% saved)

prune9.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Error

Counts

22 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.4b	(*.f64 500 x)
▶	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
▶	30.4b	(*.f64 -500 y)
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	33.4b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.3%)

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

localize6.0ms (0.2%)

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

localize18.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series5.0ms (0.2%)

Counts

1 → 6

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (.f64 500 x) (.f64 -500 y))
1.0ms	y	@	0	(+.f64 (.f64 500 x) (.f64 -500 y))
1.0ms	x	@	inf	(+.f64 (.f64 500 x) (.f64 -500 y))
1.0ms	y	@	inf	(+.f64 (.f64 500 x) (.f64 -500 y))
1.0ms	x	@	-inf	(+.f64 (.f64 500 x) (.f64 -500 y))

rewrite145.0ms (5.6%)

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 500 x) (.f64 -500 y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 500 x (.f64 -500 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 500 x) 2) (+.f64 (.f64 500 x) (.f64 500 y))) (/.f64 (pow.f64 (.f64 -500 y) 2) (+.f64 (.f64 500 x) (.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 500 x (.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 500 x (.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 500 x (.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 500 x (.f64 -500 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 500 x (.f64 -500 y))) 2) (cbrt.f64 (fma.f64 500 x (.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 500 x (.f64 -500 y))) (sqrt.f64 (fma.f64 500 x (.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 125000000 (pow.f64 x 3)) (.f64 -125000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 500 x) 2) (.f64 (.f64 -500 y) (-.f64 (.f64 -500 y) (.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (/.f64 1 (+.f64 (.f64 500 x) (.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 500 x) 2) (.f64 (.f64 -500 y) (-.f64 (.f64 -500 y) (.f64 500 x)))) (+.f64 (.f64 125000000 (pow.f64 x 3)) (.f64 -125000000 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 125000000 (pow.f64 x 3)) (.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 500 x) 2) (.f64 (.f64 -500 y) (-.f64 (.f64 -500 y) (.f64 500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 125000000 (pow.f64 x 3)) (.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 -500 y) 2) (-.f64 (pow.f64 (.f64 500 x) 2) (.f64 500 (.f64 x (.f64 -500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (+.f64 (.f64 500 x) (.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 125000000 (pow.f64 x 3)) (.f64 -125000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 500 x) 2) (.f64 (.f64 -500 y) (-.f64 (.f64 -500 y) (.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2))) (neg.f64 (+.f64 (.f64 500 x) (.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 -500 y) 2) (pow.f64 (.f64 500 x) 2)) (-.f64 (.f64 -500 y) (.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 500 x (.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 500 x (.f64 -500 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 500 x (.f64 -500 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 500 x (.f64 -500 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 500 x (.f64 -500 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 500 x (.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 500 x (.f64 -500 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 500 x (.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 500 x (.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 500 x (.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 x (.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 500 (.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -500 y (.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -500 (.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 500 x) (.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -500 y) (.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 -500 y)) 2) (cbrt.f64 (.f64 -500 y)) (.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 500 x)) 2) (cbrt.f64 (.f64 500 x)) (.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -500 y)) (sqrt.f64 (.f64 -500 y)) (.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 500 x)) (sqrt.f64 (.f64 500 x)) (*.f64 -500 y))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 500 x (*.f64 -500 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 500 x) 2) (+.f64 (*.f64 500 x) (*.f64 500 y))) (/.f64 (pow.f64 (*.f64 -500 y) 2) (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 500 x (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2) (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2)) (/.f64 1 (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x)))) (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 500 x) (*.f64 500 y)) (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 -500 y) 2) (-.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 500 (*.f64 x (*.f64 -500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2)) (+.f64 (*.f64 500 x) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2))) (neg.f64 (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -500 y) 2) (pow.f64 (*.f64 500 x) 2)) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 x (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 500 (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -500 y (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -500 (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 500 x) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -500 y) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -500 y)) 2) (cbrt.f64 (*.f64 -500 y)) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 500 x)) 2) (cbrt.f64 (*.f64 500 x)) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -500 y)) (sqrt.f64 (*.f64 -500 y)) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 500 x)) (sqrt.f64 (*.f64 500 x)) (*.f64 -500 y))))))

simplify19.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	9	24

Stop Event

1×

saturated

Counts

43 → 39

Calls

Call 1

Inputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 -500 y)

Outputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 -500 y)

localize28.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500)
✓	3.2b	(-.f64 (.f64 x x) (.f64 y y))
✓	31.2b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))

Compiler

Compiled 43 to 12 computations (72.1% saved)

series17.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))

rewrite195.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log-prod_binary64`
527×	`fma-def_binary64`
304×	`pow2_binary64`
244×	`fma-neg_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	235	30
2	3520	30

Stop Event

1×	node limit

Counts

3 → 272

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 500 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) 1/500)) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 500 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 2) (cbrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -500) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 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(-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) 500) (fma.f64 (*.f64 y y) (pow.f64 (hypot.f64 x y) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 500) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 (*.f64 y y) (pow.f64 (hypot.f64 x y) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 500 (*.f64 (*.f64 y (neg.f64 y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500 (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500 (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 (*.f64 x x) (*.f64 500 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 1 (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 1 (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (+.f64 x y)) (-.f64 x y) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (+.f64 x y)) (-.f64 x y) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))))

simplify127.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-neg_binary64`
784×	`fma-def_binary64`
693×	`distribute-rgt-neg-in_binary64`
486×	`unswap-sqr_binary64`
264×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	690
1	37	672
2	68	672
3	132	672
4	353	672
5	1140	672
6	2250	672
7	5703	672

Stop Event

1×	node limit

Counts

344 → 288

Calls

Call 1

Inputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -500 (pow.f64 y 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 500 (pow.f64 x 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 500 (pow.f64 x 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 500 (pow.f64 x 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 -500 (pow.f64 y 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(*.f64 -500 (pow.f64 y 2))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))

Outputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 500 (pow.f64 x 2))
(.f64 500 (.f64 x x))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))
(+.f64 (.f64 500 (pow.f64 x 2)) (.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (.f64 x x) (.f64 -500 (*.f64 y y)))
(fma.f64 -500 (.f64 y y) (.f64 500 (*.f64 x x)))

eval247.0ms (9.5%)

Compiler: Compiled 6742 to 2526 computations (62.5% saved)

prune141.0ms (5.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	326	1	327
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	327	5	332

Error

Counts

332 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.1b	(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))
✓	32.4b	(*.f64 500 x)
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	30.4b	(*.f64 -500 y)
✓	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 37 to 27 computations (27% saved)

localize26.0ms (1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -500 (.f64 y y))
✓	18.4b	(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))

Compiler

Compiled 25 to 10 computations (60% saved)

series11.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))
2.0ms	y	@	0	(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))
1.0ms	x	@	inf	(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))
1.0ms	y	@	inf	(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))
1.0ms	x	@	-inf	(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))

rewrite95.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`prod-diff_binary64`
482×	`log-prod_binary64`
283×	`pow-prod-down_binary64`
238×	`pow2_binary64`
217×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	180	20
2	2653	20

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))
(.f64 -500 (.f64 y y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -500 (/.f64 1 (*.f64 (+.f64 y x) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -500 (*.f64 (*.f64 y y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 -500 (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -500 (*.f64 y y)) (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))) 2) (cbrt.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 250000 (pow.f64 y 4))) (*.f64 (cbrt.f64 (*.f64 -500 (*.f64 y y))) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 -500)) (sqrt.f64 (+.f64 y x))) (/.f64 (*.f64 y (sqrt.f64 -500)) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 -500)) (*.f64 (*.f64 y (sqrt.f64 -500)) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y y) 500) (/.f64 1 (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) (*.f64 -500 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -500 y) (*.f64 y (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) 1) (/.f64 -500 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -500 (+.f64 y x)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 250000 (pow.f64 y 4))) 1) (/.f64 (cbrt.f64 (*.f64 -500 (*.f64 y y))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 -500)) 1) (/.f64 (*.f64 y (sqrt.f64 -500)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -500 y) 1) (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -500 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (*.f64 y y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 -500 (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) -2) (/.f64 (*.f64 -500 (*.f64 y y)) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 250000 (pow.f64 y 4))) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 -500)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (*.f64 y (sqrt.f64 -500)) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -500 y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 y (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -500 (sqrt.f64 (+.f64 y x))) (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 y x))) (/.f64 -500 (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y x) -1/2) (/.f64 (*.f64 -500 (*.f64 y y)) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 250000 (pow.f64 y 4))) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 (*.f64 -500 (*.f64 y y))) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -500 y) (sqrt.f64 (+.f64 y x))) (/.f64 y (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -500 (*.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -500 (*.f64 y y)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 250000 (pow.f64 y 4)) (pow.f64 (+.f64 y x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (sqrt.f64 -500)) (sqrt.f64 (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/500 (*.f64 (+.f64 y x) (pow.f64 y -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 -500)) 6) (pow.f64 (+.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/500 (*.f64 (+.f64 y x) (pow.f64 y -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -500 (*.f64 y y)) (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 250000 (pow.f64 y 4)) (pow.f64 (+.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 -500)) 6) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (sqrt.f64 -500)) (sqrt.f64 (+.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/500 (*.f64 (+.f64 y x) (pow.f64 y -2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -500 (/.f64 (*.f64 y y) (+.f64 y x)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -500 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -500) (*.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -500) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -500) (*.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -500) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -500 (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -500 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 250000 (pow.f64 y 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 -500)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -500 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -500)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 250000 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -500) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -500 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 -500)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -500 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -500 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 y) (log.f64 -500)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 -500)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 -500)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -500 (*.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 -500))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 -500)) 1) 1))))))

simplify97.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

773×	`distribute-lft-out_binary64`
644×	`distribute-rgt-out_binary64`
635×	`fma-def_binary64`
551×	`associate-/r*_binary64`
428×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	43	615
1	125	609
2	341	603
3	1178	564
4	5775	540
5	7287	537

Stop Event

1×	node limit

Counts

117 → 98

Calls

Call 1

Inputs
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))

Outputs
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(.f64 -500 (/.f64 (.f64 y y) x))
(*.f64 -500 (/.f64 y (/.f64 x y)))
(.f64 -500 (.f64 y (/.f64 y x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (/.f64 (*.f64 y y) x)))
(fma.f64 -500 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 500 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 (/.f64 500 x) (/.f64 (pow.f64 y 3) x) (*.f64 -500 (/.f64 y (/.f64 x y))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (/.f64 (*.f64 y 500) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 (/.f64 500 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 (/.f64 -500 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (/.f64 (*.f64 y 500) x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (/.f64 (.f64 y y) x) (fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (+.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (pow.f64 y 3) (.f64 x x)))))
(fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 (/.f64 500 (pow.f64 x 4)) (pow.f64 y 5) (.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (/.f64 (*.f64 y 500) x)))))
(fma.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500)))))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(fma.f64 500 x (.f64 -500 (+.f64 (/.f64 (.f64 x x) y) y)))
(fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (*.f64 x 500))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 x 500))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 500 x (fma.f64 -500 (/.f64 (.f64 x x) y) (fma.f64 -500 y (.f64 500 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 x 500 (fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (.f64 500 (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 500 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x)))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (.f64 500 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 y (.f64 x (+.f64 (.f64 (/.f64 x y) (+.f64 -500 (*.f64 500 (/.f64 x y)))) 500)))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(fma.f64 500 x (.f64 -500 (+.f64 (/.f64 (.f64 x x) y) y)))
(fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (*.f64 x 500))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 x 500))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 500 x (fma.f64 -500 (/.f64 (.f64 x x) y) (fma.f64 -500 y (.f64 500 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 x 500 (fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (.f64 500 (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 500 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x)))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (.f64 500 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 y (.f64 x (+.f64 (.f64 (/.f64 x y) (+.f64 -500 (*.f64 500 (/.f64 x y)))) 500)))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (*.f64 -500 y)))
(fma.f64 500 x (.f64 -500 (+.f64 (/.f64 (.f64 x x) y) y)))
(fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (*.f64 x 500))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 x 500))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (*.f64 x 500))
(+.f64 (.f64 500 x) (+.f64 (.f64 -500 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -500 y) (.f64 500 (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(fma.f64 500 x (fma.f64 -500 (/.f64 (.f64 x x) y) (fma.f64 -500 y (.f64 500 (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(fma.f64 x 500 (fma.f64 -500 (+.f64 y (/.f64 x (/.f64 y x))) (.f64 500 (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 (+.f64 y (.f64 (/.f64 x y) x)) (.f64 500 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) x)))
(fma.f64 -500 (fma.f64 (/.f64 x y) x y) (.f64 500 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -500 y (.f64 x (+.f64 (.f64 (/.f64 x y) (+.f64 -500 (*.f64 500 (/.f64 x y)))) 500)))
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(.f64 -500 (/.f64 (.f64 y y) x))
(*.f64 -500 (/.f64 y (/.f64 x y)))
(.f64 -500 (.f64 y (/.f64 y x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (/.f64 (*.f64 y y) x)))
(fma.f64 -500 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 500 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 (/.f64 500 x) (/.f64 (pow.f64 y 3) x) (*.f64 -500 (/.f64 y (/.f64 x y))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (/.f64 (*.f64 y 500) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 (/.f64 500 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 (/.f64 -500 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (/.f64 (*.f64 y 500) x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (/.f64 (.f64 y y) x) (fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (+.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (pow.f64 y 3) (.f64 x x)))))
(fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 (/.f64 500 (pow.f64 x 4)) (pow.f64 y 5) (.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (/.f64 (*.f64 y 500) x)))))
(fma.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500)))))
(*.f64 -500 (/.f64 (pow.f64 y 2) x))
(.f64 -500 (/.f64 (.f64 y y) x))
(*.f64 -500 (/.f64 y (/.f64 x y)))
(.f64 -500 (.f64 y (/.f64 y x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -500 (/.f64 (pow.f64 y 2) x)))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (/.f64 (*.f64 y y) x)))
(fma.f64 -500 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 500 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 (/.f64 500 x) (/.f64 (pow.f64 y 3) x) (*.f64 -500 (/.f64 y (/.f64 x y))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (/.f64 (*.f64 y 500) x)))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (*.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -500 (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 (/.f64 500 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 (/.f64 -500 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (/.f64 (*.f64 y 500) x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500))))
(+.f64 (.f64 500 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (/.f64 (.f64 y y) x) (fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 500 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(fma.f64 -500 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 500 (+.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (pow.f64 y 3) (.f64 x x)))))
(fma.f64 -500 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 (/.f64 500 (pow.f64 x 4)) (pow.f64 y 5) (.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (/.f64 (*.f64 y 500) x)))))
(fma.f64 500 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -500 (.f64 (/.f64 y x) (+.f64 (.f64 -500 (/.f64 y x)) 500)))))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(.f64 -500 (.f64 y y))

eval81.0ms (3.1%)

Compiler: Compiled 1401 to 745 computations (46.8% saved)

prune73.0ms (2.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	98	5	103

Error

Counts

103 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.1b	(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))
✓	32.4b	(*.f64 500 x)
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	30.4b	(*.f64 -500 y)
✓	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 37 to 27 computations (27% saved)

regimes48.0ms (1.8%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 (-.f64 x y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(/.f64 (.f64 -500 (.f64 y y)) (+.f64 x y))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 500) (+.f64 x y))

Outputs
(*.f64 500 (-.f64 x y))

Calls

4 calls:

12.0ms	(*.f64 500 (-.f64 x y))
12.0ms	x
10.0ms	y
10.0ms	(-.f64 x y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 500 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 60 to 36 computations (40% saved)

regimes54.0ms (2.1%)

Accuracy

Total -47.4b remaining (-321.8%)

Threshold costs -47.4b (-321.8%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 500 x)
(*.f64 -500 y)

Outputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 -500 y)

Calls

2 calls:

27.0ms	y
25.0ms	x

Results

Error	Segments	Branch
15.4b	3	`x`
14.7b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch51.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	5.653481354681692e+102	6.416397696191572e+109
25.0ms	-2.861356458923123e-56	-1.5404608428947881e-58

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-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	16	35
1	21	35
2	26	35
3	28	35
4	29	35

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(*.f64 500 (-.f64 x y))

(if (<=.f64 y -6319474075916239/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 -500 y) (if (<=.f64 y 5653481354681692346550567124645017229793412816343668324222835193430227734940712036857243314588156428288) (*.f64 500 x) (*.f64 -500 y)))

(*.f64 500 x)

Outputs
(*.f64 500 (-.f64 x y))
(if (<=.f64 y -6319474075916239/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 -500 y) (if (<=.f64 y 5653481354681692346550567124645017229793412816343668324222835193430227734940712036857243314588156428288) (.f64 500 x) (*.f64 -500 y)))
(if (<=.f64 y -6319474075916239/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 y -500) (if (<=.f64 y 5653481354681692346550567124645017229793412816343668324222835193430227734940712036857243314588156428288) (.f64 500 x) (*.f64 y -500)))
(*.f64 500 x)

Compiler

Compiled 31 to 23 computations (25.8% saved)

soundness0.0ms (0%)

end47.0ms (1.8%)

Compiler: Compiled 27 to 19 computations (29.6% saved)

Details

analyze50.0ms (1.9%)

sample785.0ms (30.1%)

preprocess33.0ms (1.3%)

simplify32.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize11.0ms (0.4%)

series5.0ms (0.2%)

rewrite90.0ms (3.5%)

simplify18.0ms (0.7%)

eval28.0ms (1.1%)

prune9.0ms (0.4%)

localize7.0ms (0.3%)

localize6.0ms (0.2%)

localize18.0ms (0.7%)

series5.0ms (0.2%)

rewrite145.0ms (5.6%)

simplify19.0ms (0.7%)

localize28.0ms (1.1%)

series17.0ms (0.7%)

rewrite195.0ms (7.5%)

simplify127.0ms (4.9%)

eval247.0ms (9.5%)

prune141.0ms (5.4%)

localize26.0ms (1%)

series11.0ms (0.4%)

rewrite95.0ms (3.7%)

simplify97.0ms (3.7%)

eval81.0ms (3.1%)

prune73.0ms (2.8%)

regimes48.0ms (1.8%)

regimes54.0ms (2.1%)

bsearch51.0ms (2%)

simplify8.0ms (0.3%)

soundness0.0ms (0%)

end47.0ms (1.8%)

Profiling