Details

analyze94.0ms (3.4%)

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)

sample730.0ms (26.6%)

Results

684.0ms	8126×	body	256	valid
10.0ms	56×	body	1024	valid
10.0ms	37×	body	2048	valid
8.0ms	37×	body	512	valid
5.0ms	62×	body	256	invalid

preprocess26.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (0.7%)

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	@	0	(*.f64 200 (-.f64 x y))
1.0ms	x	@	inf	(*.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))

rewrite70.0ms (2.6%)

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))))))))

simplify10.0ms (0.3%)

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)

prune12.0ms (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

Counts

23 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.7b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	32.2b	(*.f64 200 x)
▶	0b	(fma.f64 -200 y (*.f64 200 x))
▶	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
▶	30.7b	(*.f64 -200 y)

Compiler

Compiled 91 to 65 computations (28.6% saved)

localize6.0ms (0.2%)

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))
1.0ms	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))

rewrite56.0ms (2%)

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))))))))

simplify28.0ms (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 → 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 (0.1%)

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

localize3.0ms (0.1%)

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

localize8.0ms (0.3%)

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

rewrite101.0ms (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))))))

simplify8.0ms (0.3%)

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)

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200)
✓	3.4b	(-.f64 (.f64 x x) (.f64 y y))
✓	31.4b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))

Compiler

Compiled 43 to 12 computations (72.1% saved)

series9.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite174.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 272

Calls

Call 1

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

Outputs

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

simplify118.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	690
1	38	672
2	68	672
3	132	672
4	353	672
5	1144	672
6	2252	672
7	5703	672

Stop Event

1×	node limit

Counts

344 → 289

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 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -200 (pow.f64 y 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 200 (pow.f64 x 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 200 (pow.f64 x 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 200 (pow.f64 x 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 -200 (pow.f64 y 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(*.f64 -200 (pow.f64 y 2))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))

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 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(.f64 x (.f64 200 x))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(.f64 x (.f64 200 x))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 200 (pow.f64 x 2))
(.f64 200 (.f64 x x))
(.f64 x (.f64 200 x))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))
(+.f64 (.f64 200 (pow.f64 x 2)) (.f64 -200 (pow.f64 y 2)))
(fma.f64 200 (.f64 x x) (.f64 -200 (*.f64 y y)))
(fma.f64 -200 (.f64 y y) (.f64 200 (*.f64 x x)))
(fma.f64 y (.f64 -200 y) (.f64 x (*.f64 200 x)))

eval124.0ms (4.5%)

Compiler: Compiled 7006 to 2723 computations (61.1% saved)

prune98.0ms (3.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	351	2	353
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	352	7	359

Error

Counts

359 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 -200 y (*.f64 200 x))
▶	33.8b	(.f64 (/.f64 1 (+.f64 x y)) (.f64 (-.f64 (.f64 x x) (.f64 y y)) 200))
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	47.3b	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
✓	32.2b	(*.f64 200 x)
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	30.7b	(*.f64 -200 y)

Compiler

Compiled 62 to 44 computations (29% saved)

localize26.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x y))
	0.1b	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200)
	3.4b	(-.f64 (.f64 x x) (.f64 y y))
✓	31.4b	(.f64 (/.f64 1 (+.f64 x y)) (.f64 (-.f64 (.f64 x x) (.f64 y y)) 200))

Compiler

Compiled 51 to 17 computations (66.7% saved)

series8.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 1 (+.f64 x y))
2.0ms	x	@	inf	(.f64 (/.f64 1 (+.f64 x y)) (.f64 (-.f64 (.f64 x x) (.f64 y y)) 200))
1.0ms	x	@	0	(/.f64 1 (+.f64 x y))
1.0ms	x	@	inf	(/.f64 1 (+.f64 x y))
1.0ms	y	@	inf	(/.f64 1 (+.f64 x y))

rewrite72.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log-prod_binary64`
586×	`fma-def_binary64`
327×	`pow2_binary64`
244×	`fma-neg_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	269	14
2	3773	14

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 200 (-.f64 x 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 (exp.f64 (log1p.f64 (*.f64 200 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (+.f64 x y) 200))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 200 (/.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y)))) 2) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y)))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y)))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y)))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) -1) (neg.f64 (+.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 (*.f64 (pow.f64 (-.f64 x y) 2) 40000) 1/2)))) (#(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 pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y)))) -1)))) (#(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 (-.f64 x y)) 200))))) (#(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 cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 200 (-.f64 x y))) 3) (pow.f64 (/.f64 1 (+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 200 (-.f64 x y))) 1))))))

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

simplify63.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-/l*_binary64`
607×	`associate-/r*_binary64`
587×	`fma-def_binary64`
448×	`associate-*l/_binary64`
321×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	684
1	104	642
2	296	606
3	1224	582
4	7862	582

Stop Event

1×	node limit

Counts

113 → 84

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 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))

Outputs
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.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 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.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 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.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 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 -200 y) (.f64 200 x))
(fma.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 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.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 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 -200 y (*.f64 200 x))
(fma.f64 200 x (*.f64 -200 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (.f64 y y)))) (/.f64 (.f64 x x) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1)))
(fma.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(-.f64 (+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (.f64 y y)))) (/.f64 (.f64 x x) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1)))
(fma.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(-.f64 (+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (.f64 y y)))) (/.f64 (.f64 x x) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1)))
(fma.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(-.f64 (+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))))

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -200 (.f64 y y))
✓	18.7b	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))

Compiler

Compiled 25 to 10 computations (60% saved)

series10.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
1.0ms	x	@	inf	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
1.0ms	x	@	-inf	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
1.0ms	y	@	-inf	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
1.0ms	y	@	0	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))

rewrite97.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -200 (/.f64 1 (*.f64 (+.f64 y x) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -200 (*.f64 (*.f64 y y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 -200 (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -200 (*.f64 y y)) (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))) 2) (cbrt.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 40000 (pow.f64 y 4))) (*.f64 (cbrt.f64 (*.f64 -200 (*.f64 y y))) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 -200)) (sqrt.f64 (+.f64 y x))) (/.f64 (*.f64 y (sqrt.f64 -200)) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 -200)) (*.f64 (*.f64 y (sqrt.f64 -200)) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y y) 200) (/.f64 1 (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) (*.f64 -200 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -200 y) (*.f64 y (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) 1) (/.f64 -200 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -200 (+.f64 y x)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 40000 (pow.f64 y 4))) 1) (/.f64 (cbrt.f64 (*.f64 -200 (*.f64 y y))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 -200)) 1) (/.f64 (*.f64 y (sqrt.f64 -200)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -200 y) 1) (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -200 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (*.f64 y y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 -200 (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) -2) (/.f64 (*.f64 -200 (*.f64 y y)) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 40000 (pow.f64 y 4))) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 -200)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (*.f64 y (sqrt.f64 -200)) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -200 y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 y (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -200 (sqrt.f64 (+.f64 y x))) (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 y x))) (/.f64 -200 (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y x) -1/2) (/.f64 (*.f64 -200 (*.f64 y y)) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 40000 (pow.f64 y 4))) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 (*.f64 -200 (*.f64 y y))) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -200 y) (sqrt.f64 (+.f64 y x))) (/.f64 y (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -200 (*.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -200 (*.f64 y y)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 40000 (pow.f64 y 4)) (pow.f64 (+.f64 y x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (sqrt.f64 -200)) (sqrt.f64 (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/200 (*.f64 (+.f64 y x) (pow.f64 y -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 -200)) 6) (pow.f64 (+.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/200 (*.f64 (+.f64 y x) (pow.f64 y -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -200 (*.f64 y y)) (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 40000 (pow.f64 y 4)) (pow.f64 (+.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 -200)) 6) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (sqrt.f64 -200)) (sqrt.f64 (+.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/200 (*.f64 (+.f64 y x) (pow.f64 y -2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -200 (/.f64 (*.f64 y y) (+.f64 y x)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -200 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -200) (*.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -200) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -200) (*.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -200) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -200 (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -200 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 40000 (pow.f64 y 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 -200)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -200 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 40000 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -200) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -200 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 -200)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -200 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -200 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 y) (log.f64 -200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 -200)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 -200)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -200 (*.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 -200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 -200)) 1) 1))))))

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

767×	`distribute-lft-out_binary64`
644×	`distribute-rgt-out_binary64`
623×	`fma-def_binary64`
551×	`associate-/r*_binary64`
427×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	42	621
1	120	621
2	333	603
3	1159	564
4	5751	540
5	7251	537

Stop Event

1×	node limit

Counts

117 → 98

Calls

Call 1

Inputs
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))
(*.f64 -200 (pow.f64 y 2))

Outputs
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(.f64 -200 (/.f64 (.f64 y y) x))
(/.f64 -200 (/.f64 x (*.f64 y y)))
(/.f64 (.f64 y (.f64 -200 y)) x)
(.f64 -200 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (.f64 200 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 200 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 -200 (.f64 (/.f64 y x) y) (.f64 200 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (*.f64 200 (/.f64 y x))))
(.f64 y (.f64 (/.f64 y x) (+.f64 -200 (*.f64 200 (/.f64 y x)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 (/.f64 200 x) (/.f64 (pow.f64 y 3) x))))
(fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -200 (+.f64 (*.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (*.f64 200 (/.f64 y x)))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (.f64 -200 (/.f64 y x))))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 200 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (+.f64 (*.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (fma.f64 (/.f64 y x) y (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 (/.f64 (/.f64 200 x) x) (+.f64 (/.f64 (pow.f64 y 5) (.f64 x x)) (pow.f64 y 3))))
(fma.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (.f64 -200 (/.f64 y x)))))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 200 x (*.f64 -200 y))
(fma.f64 -200 y (*.f64 x 200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (.f64 -200 y)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 -200 y (*.f64 x 200)))
(fma.f64 x 200 (.f64 -200 (+.f64 y (.f64 (/.f64 x y) x))))
(fma.f64 -200 (fma.f64 (/.f64 x y) x y) (*.f64 x 200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (*.f64 -200 y))))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 x 200 (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -200 y))))
(fma.f64 200 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y))) (.f64 -200 (+.f64 y (*.f64 (/.f64 x y) x))))
(fma.f64 -200 y (fma.f64 x 200 (.f64 (/.f64 x (/.f64 y x)) (+.f64 (.f64 200 (/.f64 x y)) -200))))
(fma.f64 -200 y (fma.f64 x 200 (.f64 (/.f64 x (/.f64 y x)) (+.f64 -200 (.f64 200 (/.f64 x y))))))
(fma.f64 -200 y (.f64 x (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (*.f64 200 (/.f64 x y)))))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 200 x (*.f64 -200 y))
(fma.f64 -200 y (*.f64 x 200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (.f64 -200 y)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 -200 y (*.f64 x 200)))
(fma.f64 x 200 (.f64 -200 (+.f64 y (.f64 (/.f64 x y) x))))
(fma.f64 -200 (fma.f64 (/.f64 x y) x y) (*.f64 x 200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (*.f64 -200 y))))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 x 200 (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -200 y))))
(fma.f64 200 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y))) (.f64 -200 (+.f64 y (*.f64 (/.f64 x y) x))))
(fma.f64 -200 y (fma.f64 x 200 (.f64 (/.f64 x (/.f64 y x)) (+.f64 (.f64 200 (/.f64 x y)) -200))))
(fma.f64 -200 y (fma.f64 x 200 (.f64 (/.f64 x (/.f64 y x)) (+.f64 -200 (.f64 200 (/.f64 x y))))))
(fma.f64 -200 y (.f64 x (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (*.f64 200 (/.f64 x y)))))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 200 x (*.f64 -200 y))
(fma.f64 -200 y (*.f64 x 200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (.f64 -200 y)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 -200 y (*.f64 x 200)))
(fma.f64 x 200 (.f64 -200 (+.f64 y (.f64 (/.f64 x y) x))))
(fma.f64 -200 (fma.f64 (/.f64 x y) x y) (*.f64 x 200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (*.f64 -200 y))))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 x 200 (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -200 y))))
(fma.f64 200 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y))) (.f64 -200 (+.f64 y (*.f64 (/.f64 x y) x))))
(fma.f64 -200 y (fma.f64 x 200 (.f64 (/.f64 x (/.f64 y x)) (+.f64 (.f64 200 (/.f64 x y)) -200))))
(fma.f64 -200 y (fma.f64 x 200 (.f64 (/.f64 x (/.f64 y x)) (+.f64 -200 (.f64 200 (/.f64 x y))))))
(fma.f64 -200 y (.f64 x (+.f64 200 (.f64 (/.f64 x y) (+.f64 -200 (*.f64 200 (/.f64 x y)))))))
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(.f64 -200 (/.f64 (.f64 y y) x))
(/.f64 -200 (/.f64 x (*.f64 y y)))
(/.f64 (.f64 y (.f64 -200 y)) x)
(.f64 -200 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (.f64 200 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 200 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 -200 (.f64 (/.f64 y x) y) (.f64 200 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (*.f64 200 (/.f64 y x))))
(.f64 y (.f64 (/.f64 y x) (+.f64 -200 (*.f64 200 (/.f64 y x)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 (/.f64 200 x) (/.f64 (pow.f64 y 3) x))))
(fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -200 (+.f64 (*.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (*.f64 200 (/.f64 y x)))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (.f64 -200 (/.f64 y x))))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 200 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (+.f64 (*.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (fma.f64 (/.f64 y x) y (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 (/.f64 (/.f64 200 x) x) (+.f64 (/.f64 (pow.f64 y 5) (.f64 x x)) (pow.f64 y 3))))
(fma.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (.f64 -200 (/.f64 y x)))))))
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(.f64 -200 (/.f64 (.f64 y y) x))
(/.f64 -200 (/.f64 x (*.f64 y y)))
(/.f64 (.f64 y (.f64 -200 y)) x)
(.f64 -200 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (.f64 200 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 200 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 -200 (.f64 (/.f64 y x) y) (.f64 200 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (*.f64 200 (/.f64 y x))))
(.f64 y (.f64 (/.f64 y x) (+.f64 -200 (*.f64 200 (/.f64 y x)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 (/.f64 200 x) (/.f64 (pow.f64 y 3) x))))
(fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -200 (+.f64 (*.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (*.f64 200 (/.f64 y x)))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (.f64 -200 (/.f64 y x))))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 200 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (+.f64 (*.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (fma.f64 (/.f64 y x) y (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 (/.f64 (/.f64 200 x) x) (+.f64 (/.f64 (pow.f64 y 5) (.f64 x x)) (pow.f64 y 3))))
(fma.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (.f64 (/.f64 y x) (+.f64 200 (.f64 -200 (/.f64 y x)))))))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))
(*.f64 -200 (pow.f64 y 2))
(.f64 -200 (.f64 y y))
(.f64 y (.f64 -200 y))

eval150.0ms (5.5%)

Compiler: Compiled 8694 to 3617 computations (58.4% saved)

prune113.0ms (4.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	413	1	414
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	414	7	421

Error

Counts

421 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.4b	(.f64 (/.f64 1 (+.f64 y x)) (.f64 -200 (*.f64 y y)))
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	47.3b	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
✓	32.2b	(*.f64 200 x)
✓	0b	(fma.f64 -200 y (*.f64 200 x))
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	30.7b	(*.f64 -200 y)

Compiler

Compiled 58 to 42 computations (27.6% saved)

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 y x))
	0.2b	(.f64 -200 (.f64 y y))
✓	18.7b	(.f64 (/.f64 1 (+.f64 y x)) (.f64 -200 (*.f64 y y)))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`prod-diff_binary64`
514×	`log-prod_binary64`
328×	`pow-prod-down_binary64`
262×	`pow2_binary64`
221×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	214	20
2	2816	20

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (/.f64 -200 (+.f64 y x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (/.f64 -200 (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (/.f64 -200 (+.f64 y x))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (/.f64 -200 (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y x) (*.f64 -200 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -200 (/.f64 (+.f64 y x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (/.f64 (+.f64 y x) -200))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -200 (*.f64 y y)) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 40000)) (/.f64 (+.f64 y x) (cbrt.f64 (*.f64 -200 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sqrt.f64 -200)) (/.f64 (+.f64 y x) (*.f64 y (sqrt.f64 -200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -200) (/.f64 (+.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -200 (*.f64 y y))) (neg.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -200 (*.f64 y y)) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -200 (*.f64 y y)) 1) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -200 (*.f64 y y)) (cbrt.f64 (pow.f64 (+.f64 y x) 2))) (cbrt.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 -200 (*.f64 y y))) (neg.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -200 (*.f64 y y)) -1) (neg.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -200 (+.f64 y x))) y) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -200 (+.f64 y x))) y) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 -200 (+.f64 y x))) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 -200)) 6) (pow.f64 (+.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) (*.f64 -200 (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -200 (+.f64 y x))) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (/.f64 -200 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -200 (+.f64 y x))) y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 -200)) 6) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -200 (+.f64 y x))) y) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 -200 (+.f64 y x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 -200 (+.f64 y x))) y)) 2))))))

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

simplify73.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-r_binary64`
596×	`associate-l_binary64`
545×	`associate-/r/_binary64`
341×	`associate-/l/_binary64`
281×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	1053
1	178	1011
2	537	957
3	2113	927
4	7577	927

Stop Event

1×	node limit

Counts

120 → 101

Calls

Call 1

Inputs
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))

Outputs
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(.f64 -200 (/.f64 (.f64 y y) x))
(*.f64 -200 (/.f64 y (/.f64 x y)))
(.f64 -200 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (.f64 200 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (/.f64 (.f64 200 (pow.f64 y 3)) (.f64 x x)))
(fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -200 (/.f64 (*.f64 y y) x)))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (/.f64 (*.f64 y 200) x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 200 (pow.f64 y 3)) (.f64 x x))))
(fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -200 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (*.f64 y y) x))))
(fma.f64 -200 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (/.f64 (.f64 y 200) x))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 200 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (*.f64 y y) x))))
(fma.f64 200 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (*.f64 y (+.f64 (pow.f64 (/.f64 y x) 3) (/.f64 y x)))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 200 x (*.f64 -200 y))
(fma.f64 -200 y (*.f64 x 200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (.f64 -200 y)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 -200 y (*.f64 x 200)))
(fma.f64 x 200 (.f64 -200 (+.f64 (.f64 (/.f64 x y) x) y)))
(fma.f64 -200 y (*.f64 x (+.f64 200 (/.f64 -200 (/.f64 y x)))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (+.f64 (.f64 200 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -200 y))))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (*.f64 -200 y))))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 x 200 (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -200 y))))
(fma.f64 200 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y))) (.f64 -200 (+.f64 (*.f64 (/.f64 x y) x) y)))
(+.f64 (fma.f64 -200 y (.f64 x 200)) (.f64 (.f64 x (/.f64 x y)) (+.f64 -200 (/.f64 (.f64 x 200) y))))
(*.f64 -200 y)
(+.f64 (.f64 200 x) (.f64 -200 y))
(fma.f64 200 x (*.f64 -200 y))
(fma.f64 -200 y (*.f64 x 200))
(+.f64 (.f64 -200 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 200 x) (*.f64 -200 y)))
(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (.f64 -200 y)))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 -200 y (*.f64 x 200)))
(fma.f64 x 200 (.f64 -200 (+.f64 (.f64 (/.f64 x y) x) y)))
(fma.f64 -200 y (*.f64 x (+.f64 200 (/.f64 -200 (/.f64 y x)))))
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(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (*.f64 -200 y))))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 x 200 (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -200 y))))
(fma.f64 200 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y))) (.f64 -200 (+.f64 (*.f64 (/.f64 x y) x) y)))
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(*.f64 -200 y)
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(fma.f64 200 x (*.f64 -200 y))
(fma.f64 -200 y (*.f64 x 200))
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(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (.f64 -200 y)))
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(fma.f64 x 200 (.f64 -200 (+.f64 (.f64 (/.f64 x y) x) y)))
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(fma.f64 -200 (/.f64 (.f64 x x) y) (fma.f64 200 x (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (*.f64 -200 y))))
(fma.f64 -200 (/.f64 x (/.f64 y x)) (fma.f64 x 200 (fma.f64 200 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -200 y))))
(fma.f64 200 (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y))) (.f64 -200 (+.f64 (*.f64 (/.f64 x y) x) y)))
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(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(.f64 -200 (/.f64 (.f64 y y) x))
(*.f64 -200 (/.f64 y (/.f64 x y)))
(.f64 -200 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (.f64 200 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (/.f64 (.f64 200 (pow.f64 y 3)) (.f64 x x)))
(fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -200 (/.f64 (*.f64 y y) x)))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (/.f64 (*.f64 y 200) x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 200 (pow.f64 y 3)) (.f64 x x))))
(fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -200 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (*.f64 y y) x))))
(fma.f64 -200 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (/.f64 (.f64 y 200) x))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 200 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (*.f64 y y) x))))
(fma.f64 200 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (*.f64 y (+.f64 (pow.f64 (/.f64 y x) 3) (/.f64 y x)))))
(*.f64 -200 (/.f64 (pow.f64 y 2) x))
(.f64 -200 (/.f64 (.f64 y y) x))
(*.f64 -200 (/.f64 y (/.f64 x y)))
(.f64 -200 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (.f64 200 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (/.f64 (.f64 200 (pow.f64 y 3)) (.f64 x x)))
(fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -200 (/.f64 (*.f64 y y) x)))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (/.f64 (*.f64 y 200) x)))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 200 (pow.f64 y 3)) (.f64 x x))))
(fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -200 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (*.f64 y y) x))))
(fma.f64 -200 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -200 (/.f64 (.f64 y 200) x))))
(+.f64 (.f64 -200 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 200 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 (.f64 y y) x) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -200 (/.f64 y (/.f64 x y)) (fma.f64 200 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -200 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 200 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 200 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (*.f64 y y) x))))
(fma.f64 200 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -200 (*.f64 y (+.f64 (pow.f64 (/.f64 y x) 3) (/.f64 y x)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) 3) x)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (.f64 y y)))) (/.f64 (.f64 x x) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (-.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) (-.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (.f64 y y)))) (/.f64 (.f64 x x) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (-.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) (-.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (.f64 y y)))) (/.f64 (.f64 x x) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (-.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) -1)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x y) (-.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) 3) x)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) 3) x)))

eval34.0ms (1.2%)

Compiler: Compiled 1879 to 1070 computations (43.1% saved)

prune19.0ms (0.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	124	7	131

Error

Counts

131 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	47.2b	(.f64 (/.f64 1 y) (.f64 -200 (*.f64 y y)))
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	47.3b	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
✓	32.2b	(*.f64 200 x)
✓	0b	(fma.f64 -200 y (*.f64 200 x))
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	30.7b	(*.f64 -200 y)

Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes28.0ms (1%)

Counts

10 → 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 y) (.f64 -200 (*.f64 y y)))
(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
(.f64 (/.f64 1 (+.f64 y x)) (.f64 -200 (*.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
(.f64 (/.f64 1 (+.f64 x y)) (.f64 (-.f64 (.f64 x x) (.f64 y y)) 200))
(fma.f64 -200 y (*.f64 200 x))

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

Calls

4 calls:

7.0ms	x
7.0ms	(-.f64 x y)
6.0ms	(*.f64 200 (-.f64 x y))
6.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(*.f64 200 (-.f64 x y))`
0b	1	`(-.f64 x y)`

Compiler

Compiled 101 to 56 computations (44.6% saved)

regimes27.0ms (1%)

Counts

9 → 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 y) (.f64 -200 (*.f64 y y)))
(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
(.f64 (/.f64 1 (+.f64 y x)) (.f64 -200 (*.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
(.f64 (/.f64 1 (+.f64 x y)) (.f64 (-.f64 (.f64 x x) (.f64 y y)) 200))

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

Calls

4 calls:

7.0ms	(*.f64 200 (-.f64 x y))
6.0ms	x
6.0ms	(-.f64 x y)
6.0ms	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 95 to 52 computations (45.3% saved)

regimes16.0ms (0.6%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f64 200 (-.f64 x y))
4.0ms	(-.f64 x y)
4.0ms	x
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 31 to 21 computations (32.3% saved)

regimes26.0ms (1%)

Accuracy

Total -47.1b remaining (-315.2%)

Threshold costs -47.1b (-315.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
12.0ms	y

Results

Error	Segments	Branch
15.0b	3	`x`
15.0b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch29.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.8251434991526626e+45	1.8067603775744472e+47
14.0ms	-8.066578285056977e+63	-8.969787231780833e+61

Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	53
1	24	53
2	29	53
3	31	53
4	32	53

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 200 (-.f64 x y))
(if (<=.f64 x -8066578285056977238698258412162345168632292258072276248251334656) (.f64 200 x) (if (<=.f64 x 2825143499152662641717631804017213542676561920) (.f64 -200 y) (*.f64 200 x)))
(*.f64 200 x)

Outputs
(fma.f64 -200 y (*.f64 200 x))
(+.f64 (.f64 200 x) (.f64 -200 y))
(*.f64 200 (-.f64 x y))
(if (<=.f64 x -8066578285056977238698258412162345168632292258072276248251334656) (.f64 200 x) (if (<=.f64 x 2825143499152662641717631804017213542676561920) (.f64 -200 y) (*.f64 200 x)))
(*.f64 200 x)

Compiler

Compiled 48 to 36 computations (25% saved)

soundness9.0ms (0.3%)

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)

end37.0ms (1.4%)

Compiler: Compiled 40 to 28 computations (30% saved)

Details

analyze94.0ms (3.4%)

sample730.0ms (26.6%)

preprocess26.0ms (1%)

simplify18.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite70.0ms (2.6%)

simplify10.0ms (0.3%)

eval4.0ms (0.2%)

prune12.0ms (0.4%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite56.0ms (2%)

simplify28.0ms (1%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite101.0ms (3.7%)

simplify8.0ms (0.3%)

localize14.0ms (0.5%)

series9.0ms (0.3%)

rewrite174.0ms (6.3%)

simplify118.0ms (4.3%)

eval124.0ms (4.5%)

prune98.0ms (3.6%)

localize26.0ms (1%)

series8.0ms (0.3%)

rewrite72.0ms (2.6%)

simplify63.0ms (2.3%)

localize9.0ms (0.3%)

series10.0ms (0.4%)

rewrite97.0ms (3.5%)

simplify78.0ms (2.8%)

eval150.0ms (5.5%)

prune113.0ms (4.1%)

localize14.0ms (0.5%)

series4.0ms (0.1%)

rewrite66.0ms (2.4%)

simplify73.0ms (2.7%)

eval34.0ms (1.2%)

prune19.0ms (0.7%)

regimes28.0ms (1%)

regimes27.0ms (1%)

regimes16.0ms (0.6%)

regimes26.0ms (1%)

bsearch29.0ms (1.1%)

simplify6.0ms (0.2%)

soundness9.0ms (0.3%)

end37.0ms (1.4%)

Profiling