Details

analyze54.0ms (2.8%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.0s (52.8%)

Results

966.0ms	8131×	body	256	valid
17.0ms	37×	body	2048	valid
8.0ms	48×	body	1024	valid
5.0ms	40×	body	512	valid
4.0ms	51×	body	256	infinite

Bogosity

preprocess27.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify19.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite352.0ms (18.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify11.0ms (0.6%)

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

41 → 22

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))

eval13.0ms (0.7%)

Compiler: Compiled 191 to 112 computations (41.4% saved)

prune5.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Error

Counts

23 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.4b	(*.f64 200 x)
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	0.0b	(fma.f64 -200 y (*.f64 200 x))
▶	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
▶	33.4b	(*.f64 -200 y)

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize3.0ms (0.2%)

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

localize3.0ms (0.2%)

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

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite71.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify9.0ms (0.5%)

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	96
1	12	96
2	15	96

Stop Event

1×

saturated

Counts

52 → 40

Calls

Call 1

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

Outputs
(*.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 (.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 -200 y)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
550×	`add-exp-log_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 → 21

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

simplify10.0ms (0.5%)

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

45 → 24

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))

eval19.0ms (1%)

Compiler: Compiled 799 to 614 computations (23.2% saved)

prune16.0ms (0.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	64	5	69

Error

Counts

69 → 5

Alt Table

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Status	Error	Program
✓	29.4b	(*.f64 200 x)
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	0.0b	(fma.f64 -200 y (*.f64 200 x))
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	33.4b	(*.f64 -200 y)

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes22.0ms (1.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(-.f64 x y)
6.0ms	x
5.0ms	(*.f64 200 (-.f64 x y))
5.0ms	y

Results

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

Compiler

Compiled 44 to 30 computations (31.8% saved)

regimes21.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
4.0ms	(*.f64 200 (-.f64 x y))
4.0ms	(-.f64 x y)
4.0ms	y

Results

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes36.0ms (1.9%)

Accuracy

Total -49.9b remaining (-411.8%)

Threshold costs -49.9b (-411.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
15.0ms	y

Results

Error	Segments	Branch
14.0b	3	`x`
12.1b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch52.0ms (2.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	924047176.096879	124075041721289.36
26.0ms	-1.4384754151455952e+33	-4.1898998100591807e+30

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.4%)

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	17	43
1	22	43
2	27	43
3	29	43
4	30	43

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 (-.f64 x y))
(if (<=.f64 y -1438475415145595184470910755143680) (.f64 -200 y) (if (<=.f64 y 968933691722961/1048576) (.f64 200 x) (*.f64 -200 y)))
(*.f64 200 x)

Outputs
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 (-.f64 x y))
(if (<=.f64 y -1438475415145595184470910755143680) (.f64 -200 y) (if (<=.f64 y 968933691722961/1048576) (.f64 200 x) (*.f64 -200 y)))
(*.f64 200 x)

Compiler

Compiled 39 to 29 computations (25.6% saved)

soundness14.0ms (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

Compiler

Compiled 26 to 20 computations (23.1% saved)

end66.0ms (3.4%)

Compiler: Compiled 33 to 23 computations (30.3% saved)

Details

analyze54.0ms (2.8%)

sample1.0s (52.8%)

preprocess27.0ms (1.4%)

simplify19.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite352.0ms (18.3%)

simplify11.0ms (0.6%)

eval13.0ms (0.7%)

prune5.0ms (0.3%)

localize3.0ms (0.2%)

localize3.0ms (0.2%)

localize8.0ms (0.4%)

series3.0ms (0.1%)

rewrite71.0ms (3.7%)

simplify9.0ms (0.5%)

localize7.0ms (0.4%)

series2.0ms (0.1%)

rewrite49.0ms (2.6%)

simplify10.0ms (0.5%)

eval19.0ms (1%)

prune16.0ms (0.8%)

regimes22.0ms (1.2%)

regimes21.0ms (1.1%)

regimes36.0ms (1.9%)

bsearch52.0ms (2.7%)

simplify8.0ms (0.4%)

soundness14.0ms (0.7%)

end66.0ms (3.4%)

Profiling