Details

analyze60.0ms (2.9%)

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)

sample804.0ms (39.3%)

Results

737.0ms	8109×	body	256	valid
17.0ms	57×	body	2048	valid
12.0ms	54×	body	1024	valid
5.0ms	66×	body	256	invalid
5.0ms	36×	body	512	valid

preprocess25.0ms (1.2%)

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 (0.9%)

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))

rewrite49.0ms (2.4%)

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))))))))

simplify9.0ms (0.4%)

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))

eval4.0ms (0.2%)

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

prune8.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Error

0.0b

Counts

23 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.7b	(*.f64 200 x)
▶	0.0b	(fma.f64 -200 y (*.f64 200 x))
▶	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
▶	33.1b	(*.f64 -200 y)
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	15.5b	(-.f64 (+.f64 1 (*.f64 200 (-.f64 x y))) 1)

Compiler

Compiled 83 to 65 computations (21.7% saved)

localize6.0ms (0.3%)

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)

series3.0ms (0.1%)

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))

rewrite54.0ms (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))))))))

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))))))))

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	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))

localize3.0ms (0.2%)

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

localize3.0ms (0.1%)

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)

series2.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite56.0ms (2.7%)

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))))))

simplify36.0ms (1.8%)

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	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)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 200 (-.f64 x y)))
	0.0b	(*.f64 200 (-.f64 x y))
✓	2.2b	(-.f64 (+.f64 1 (*.f64 200 (-.f64 x y))) 1)

Compiler

Compiled 30 to 17 computations (43.3% saved)

series4.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite370.0ms (18.1%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`prod-diff_binary64`
634×	`unpow-prod-down_binary64`
531×	`fma-def_binary64`
401×	`log-prod_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	15
2	2946	15

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 200 (-.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 200 (-.f64 x y) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 200 (-.f64 x y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 200 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 200 (-.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 200 (-.f64 x y) -1) 1)))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 200)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 200))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 200))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 200 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 200 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 200)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (pow.f64 (cbrt.f64 200) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (pow.f64 (sqrt.f64 200) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (pow.f64 8000000 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 200 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (*.f64 (cbrt.f64 (-.f64 x y)) 200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2) (cbrt.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 200))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 x y)) 200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) (sqrt.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 200 (-.f64 x y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 200 (-.f64 x y) 1) 2) (fma.f64 200 (-.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 200 (-.f64 x y) 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 200 (-.f64 x y) 1) 2) (fma.f64 200 (-.f64 x y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 200 (-.f64 x y) 1) 2) -1) (/.f64 1 (fma.f64 200 (-.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 200 (-.f64 x y) 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 200 (-.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 200 (-.f64 x y) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 200 (-.f64 x y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 200 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 200 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 200 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 200 (-.f64 x y) 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 200 (-.f64 x y) 1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 200 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) 1) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 200 (sqrt.f64 (-.f64 x y))) 1) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 200) 3) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 200 (-.f64 x y)))) 2) 3) (cbrt.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 200 (-.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 200 (-.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 200) 2) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8000000 1/3) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 8000000)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 8000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 3/2) 1/3))))) 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(sqrt.f64 (fma.f64 200 (-.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 200 (-.f64 x y) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 200 (-.f64 x y) 1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 200 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 200 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) 1)))))

simplify17.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	396
1	25	392
2	33	356
3	37	356

Stop Event

1×

saturated

Counts

219 → 183

Calls

Call 1

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

eval108.0ms (5.3%)

Compiler: Compiled 3825 to 2588 computations (32.3% saved)

prune41.0ms (2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	268	1	269
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	268	7	275

Error

Counts

275 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.7b	(*.f64 200 x)
✓	0.0b	(fma.f64 -200 y (*.f64 200 x))
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	33.1b	(*.f64 -200 y)
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	0.0b	(fma.f64 x 200 (*.f64 -200 y))
✓	15.5b	(-.f64 (+.f64 1 (*.f64 200 (-.f64 x y))) 1)

Compiler

Compiled 53 to 41 computations (22.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

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	x	@	0	(fma.f64 x 200 (*.f64 -200 y))
0.0ms	x	@	-inf	(fma.f64 x 200 (*.f64 -200 y))
0.0ms	y	@	-inf	(fma.f64 x 200 (*.f64 -200 y))
0.0ms	y	@	inf	(fma.f64 x 200 (*.f64 -200 y))
0.0ms	y	@	0	(fma.f64 x 200 (*.f64 -200 y))

rewrite54.0ms (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	1512	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify21.0ms (1%)

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 → 26

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 (0.6%)

Compiler: Compiled 266 to 199 computations (25.2% saved)

prune13.0ms (0.7%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	26	7	33

Error

Counts

33 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.7b	(*.f64 200 x)
✓	0.0b	(fma.f64 -200 y (*.f64 200 x))
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	33.1b	(*.f64 -200 y)
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	0.0b	(fma.f64 x 200 (*.f64 -200 y))
✓	15.5b	(-.f64 (+.f64 1 (*.f64 200 (-.f64 x y))) 1)

Compiler

Compiled 53 to 41 computations (22.6% saved)

regimes67.0ms (3.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

15.0ms	(-.f64 x y)
13.0ms	(*.f64 200 (-.f64 x y))
12.0ms	(*.f64 200 (-.f64 x y))
12.0ms	(-.f64 x y)
6.0ms	x

Results

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

Compiler

Compiled 71 to 48 computations (32.4% saved)

regimes25.0ms (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))
(-.f64 (+.f64 1 (*.f64 200 (-.f64 x y))) 1)

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

Calls

4 calls:

7.0ms	x
6.0ms	(-.f64 x y)
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 47 to 32 computations (31.9% saved)

regimes37.0ms (1.8%)

Accuracy

Total -48.2b remaining (-360.1%)

Threshold costs -48.2b (-360.1%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
15.0ms	y

Results

Error	Segments	Branch
13.4b	5	`x`
16.4b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch48.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
0.0ms	1.4966129188799872e-58	1.5412477311307687e-58
17.0ms	-2.5637148537663068e-148	-1.2807666987448919e-148
15.0ms	-2.6679706475365947e-95	-2.680009127068945e-99
16.0ms	-7.359414073923977e+41	-2.9074856682696395e+26

Compiler

Compiled 12 to 9 computations (25% saved)

simplify7.0ms (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	23	63
1	28	63
2	33	63
3	35	63
4	36	63

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 200 (*.f64 -200 y))
(*.f64 200 (-.f64 x y))
(if (<=.f64 x -735941407392397677024120299541559561420800) (.f64 200 x) (if (<=.f64 x -4010139312211437/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (.f64 -200 y) (if (<=.f64 x -14763433114732200/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (.f64 200 x) (if (<=.f64 x 17368813385597429760/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 -200 y) (*.f64 200 x)))))
(*.f64 200 x)

Outputs
(fma.f64 x 200 (*.f64 -200 y))
(*.f64 200 (-.f64 x y))
(if (<=.f64 x -735941407392397677024120299541559561420800) (.f64 200 x) (if (<=.f64 x -4010139312211437/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (.f64 -200 y) (if (<=.f64 x -14763433114732200/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (.f64 200 x) (if (<=.f64 x 17368813385597429760/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 -200 y) (*.f64 200 x)))))
(if (<=.f64 x -735941407392397677024120299541559561420800) (.f64 x 200) (if (<=.f64 x -4010139312211437/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (.f64 -200 y) (if (<=.f64 x -1845429139341525/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (.f64 x 200) (if (<=.f64 x 8480865910936245/56539106072908298546665520023773392506479484700019806659891398441363832832) (.f64 -200 y) (*.f64 x 200)))))
(*.f64 200 x)
(*.f64 x 200)

Compiler

Compiled 53 to 39 computations (26.4% saved)

soundness0.0ms (0%)

end35.0ms (1.7%)

Compiler: Compiled 47 to 33 computations (29.8% saved)

Details

analyze60.0ms (2.9%)

sample804.0ms (39.3%)

preprocess25.0ms (1.2%)

simplify19.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite49.0ms (2.4%)

simplify9.0ms (0.4%)

eval4.0ms (0.2%)

prune8.0ms (0.4%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite54.0ms (2.6%)

simplify9.0ms (0.5%)

localize3.0ms (0.2%)

localize3.0ms (0.1%)

localize8.0ms (0.4%)

series2.0ms (0.1%)

rewrite56.0ms (2.7%)

simplify36.0ms (1.8%)

localize10.0ms (0.5%)

series4.0ms (0.2%)

rewrite370.0ms (18.1%)

simplify17.0ms (0.8%)

eval108.0ms (5.3%)

prune41.0ms (2%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite54.0ms (2.6%)

simplify21.0ms (1%)

eval13.0ms (0.6%)

prune13.0ms (0.7%)

regimes67.0ms (3.3%)

regimes25.0ms (1.2%)

regimes37.0ms (1.8%)

bsearch48.0ms (2.3%)

simplify7.0ms (0.4%)

soundness0.0ms (0%)

end35.0ms (1.7%)

Profiling