Details

analyze119.0ms (9.6%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample827.0ms (66.8%)

Results

773.0ms	8126×	body	128	valid
12.0ms	48×	body	1024	valid
11.0ms	37×	body	2048	valid
7.0ms	68×	body	128	invalid
6.0ms	32×	body	512	valid
5.0ms	13×	body	256	valid

preprocess22.0ms (1.8%)

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	66	14
4	110	14
5	179	14
6	267	14
7	368	14
8	416	14
9	418	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))
(*.f64 (-.f64 x y) -200)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify13.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
32×	`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	382	7
9	455	7
10	539	7
11	555	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 (0.1%)

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 200 (-.f64 x y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite37.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 18

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 (exp.f64 (log1p.f64 (.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 log.f64 (+.f64 1 (expm1.f64 (.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 exp.f64 (log.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 expm1.f64 (log1p.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 (exp.f64 (log1p.f64 (*.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 log.f64 (+.f64 1 (expm1.f64 (*.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 exp.f64 (log.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 expm1.f64 (log1p.f64 (*.f64 200 (-.f64 x y))))))))

simplify9.0ms (0.8%)

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	9	168
1	13	168
2	15	168

Stop Event

1×

saturated

Counts

42 → 23

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))

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

eval5.0ms (0.4%)

Compiler: Compiled 200 to 118 computations (41% saved)

prune11.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	31.9b	(/.f64 (.f64 200 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
▶	0.0b	(fma.f64 -200 y (*.f64 200 x))

Compiler

Compiled 46 to 30 computations (34.8% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite31.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	140	8
2	1513	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify9.0ms (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	9	168
1	13	168
2	15	168

Stop Event

1×

saturated

Counts

46 → 25

Calls

Call 1

Inputs
(*.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 -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))

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

eval6.0ms (0.5%)

Compiler: Compiled 262 to 197 computations (24.8% saved)

prune20.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

Counts

27 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite34.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	140	8
2	1513	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify9.0ms (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	9	168
1	13	168
2	15	168

Stop Event

1×

saturated

Counts

46 → 25

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))

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

eval6.0ms (0.5%)

Compiler: Compiled 262 to 197 computations (24.8% saved)

prune15.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Error

Counts

27 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

regimes22.0ms (1.8%)

Accuracy

Total -31.9b remaining (-816281.8%)

Threshold costs -31.9b (-816281.8%)

Counts

4 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
4.0ms	0.0b	1	`x`
9.0ms	0.0b	1	`y`
4.0ms	0.0b	1	`(*.f64 200 (-.f64 x y))`
4.0ms	0.0b	1	`(-.f64 x y)`

Compiler

Compiled 50 to 32 computations (36% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8

Stop Event

1×

saturated

Calls

Call 1

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

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

end17.0ms (1.3%)

Stop Event

1×

done

Compiler

Compiled 16 to 12 computations (25% saved)

Details

analyze119.0ms (9.6%)

sample827.0ms (66.8%)

preprocess22.0ms (1.8%)

simplify13.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series3.0ms (0.2%)

rewrite37.0ms (3%)

simplify9.0ms (0.8%)

eval5.0ms (0.4%)

prune11.0ms (0.9%)

localize4.0ms (0.4%)

series3.0ms (0.2%)

rewrite31.0ms (2.5%)

simplify9.0ms (0.7%)

eval6.0ms (0.5%)

prune20.0ms (1.6%)

localize4.0ms (0.3%)

series2.0ms (0.2%)

rewrite34.0ms (2.8%)

simplify9.0ms (0.7%)

eval6.0ms (0.5%)

prune15.0ms (1.2%)

regimes22.0ms (1.8%)

simplify2.0ms (0.2%)

end17.0ms (1.3%)

Profiling