Details

analyze67.0ms (1.1%)

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)

sample4.7s (77.2%)

Results

4.6s	8117×	body	256	valid
37.0ms	64×	body	1024	valid
17.0ms	48×	body	2048	valid
6.0ms	76×	body	256	invalid
4.0ms	27×	body	512	valid

preprocess30.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	34	14
3	66	14
4	110	14
5	179	14
6	267	14
7	368	14
8	416	14
9	418	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	40	7
4	67	7
5	96	7
6	167	7
7	270	7
8	382	7
9	455	7
10	539	7
11	555	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

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 (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.7%)

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	1731	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 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 expm1.f64 (log1p.f64 (.f64 200 (-.f64 x y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 200) (*.f64 (neg.f64 y) 200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 x) (*.f64 200 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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 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 expm1.f64 (log1p.f64 (*.f64 200 (-.f64 x y))))))))

simplify10.0ms (0.2%)

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))

eval5.0ms (0.1%)

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

prune35.0ms (0.6%)

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
▶	32.0b	(*.f64 200 x)
▶	0.0b	(fma.f64 -200 y (*.f64 200 x))
▶	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
▶	30.8b	(*.f64 -200 y)
▶	30.8b	(/.f64 (.f64 200 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
✓	0.0b	(*.f64 200 (-.f64 x y))

Compiler

Compiled 91 to 65 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite43.0ms (0.7%)

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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -200 y (.f64 200 x))))))))

Outputs

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

simplify17.0ms (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

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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

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))

rewrite53.0ms (0.9%)

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	2163	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 (*.f64 40000 (*.f64 x x)) (+.f64 (*.f64 200 x) (*.f64 200 y))) (/.f64 (*.f64 40000 (*.f64 y y)) (+.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 (*.f64 40000 (*.f64 x x)) (*.f64 (*.f64 -200 y) (-.f64 (*.f64 -200 y) (*.f64 200 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 40000 (*.f64 x x)) (*.f64 40000 (*.f64 y y))) (/.f64 1 (+.f64 (*.f64 200 x) (*.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 40000 (*.f64 x x)) (*.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 (*.f64 40000 (*.f64 x x)) (*.f64 40000 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8000000 (pow.f64 x 3)) (*.f64 -8000000 (pow.f64 y 3))) (+.f64 (*.f64 40000 (*.f64 x x)) (*.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 (*.f64 40000 (*.f64 y y)) (-.f64 (*.f64 40000 (*.f64 x x)) (*.f64 200 (*.f64 x (*.f64 -200 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 40000 (*.f64 x x)) (*.f64 40000 (*.f64 y y))) (+.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 (*.f64 40000 (*.f64 x x)) (*.f64 (*.f64 -200 y) (-.f64 (*.f64 -200 y) (*.f64 200 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 40000 (*.f64 x x)) (*.f64 40000 (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 200 x) (*.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 40000 (*.f64 y y)) (*.f64 40000 (*.f64 x x))) (-.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 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))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 200 x (*.f64 -200 y))))))))

simplify9.0ms (0.1%)

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	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)

localize15.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	28.8b	(/.f64 (.f64 200 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
	2.6b	(-.f64 (.f64 x x) (.f64 y y))
	0.2b	(.f64 200 (-.f64 (.f64 x x) (*.f64 y y)))
✓	0.2b	(.f64 200 (-.f64 (.f64 x x) (*.f64 y y)))
✓	2.6b	(-.f64 (.f64 x x) (.f64 y y))
✓	28.8b	(/.f64 (.f64 200 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))

Compiler

Compiled 43 to 12 computations (72.1% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite102.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`log-prod_binary64`
527×	`fma-def_binary64`
305×	`pow2_binary64`
247×	`fma-neg_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	235	30
2	3535	30

Stop Event

1×	node limit

Counts

3 → 271

Calls

Call 1

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

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-neg_binary64`
784×	`fma-def_binary64`
693×	`distribute-rgt-neg-in_binary64`
486×	`unswap-sqr_binary64`
272×	`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	348	672
5	1141	672
6	2254	672
7	5702	672

Stop Event

1×	node limit

Counts

343 → 288

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

eval113.0ms (1.8%)

Compiler: Compiled 6989 to 2647 computations (62.1% saved)

prune57.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	351	1	352
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	352	6	358

Error

Counts

358 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(*.f64 200 x)
✓	0.0b	(fma.f64 -200 y (*.f64 200 x))
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	30.8b	(*.f64 -200 y)
▶	46.7b	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
✓	0.0b	(*.f64 200 (-.f64 x y))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	18.4b	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
	0.2b	(.f64 -200 (.f64 y y))
✓	0.2b	(.f64 -200 (.f64 y y))
✓	18.4b	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))

Compiler

Compiled 25 to 10 computations (60% saved)

series11.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(/.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	@	-inf	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`prod-diff_binary64`
482×	`log-prod_binary64`
373×	`exp-prod_binary64`
282×	`pow-prod-down_binary64`
238×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	180	20
2	2646	20

Stop Event

1×	node limit

Counts

2 → 87

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

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

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

743×	`distribute-lft-out_binary64`
644×	`distribute-rgt-out_binary64`
623×	`fma-def_binary64`
531×	`associate-/r*_binary64`
396×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	42	621
1	120	621
2	333	603
3	1160	564
4	5510	540
5	7005	537

Stop Event

1×	node limit

Counts

123 → 104

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

eval222.0ms (3.6%)

Compiler: Compiled 1519 to 900 computations (40.8% saved)

prune32.0ms (0.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	104	6	110

Error

Counts

110 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(*.f64 200 x)
✓	0.0b	(fma.f64 -200 y (*.f64 200 x))
✓	0.0b	(+.f64 (.f64 200 x) (.f64 -200 y))
✓	30.8b	(*.f64 -200 y)
✓	46.7b	(/.f64 (.f64 -200 (.f64 y y)) (+.f64 x y))
✓	0.0b	(*.f64 200 (-.f64 x y))

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes22.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 53 to 35 computations (34% saved)

regimes35.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	y
5.0ms	(*.f64 200 (-.f64 x y))
5.0ms	x
4.0ms	(-.f64 x y)

Results

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

Compiler

Compiled 47 to 31 computations (34% saved)

regimes49.0ms (0.8%)

Accuracy

Total -49.2b remaining (-389.1%)

Threshold costs -49.2b (-389.1%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	y
16.0ms	x

Results

Error	Segments	Branch
14.2b	5	`x`
12.6b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch101.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	1.706400682227231e-16	0.0027100045923510586
52.0ms	-1.190848095656544e+67	-1.5884268731527597e+61
15.0ms	-1.172894140128621e+77	-7.238775122549936e+76
16.0ms	-4.049612255743598e+92	-1.6699075255826857e+91

Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	28	63
2	33	63
3	35	63
4	36	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 (-.f64 x y))
(if (<=.f64 y -404961225574359819654380478144232755666099394384820641365171986870842017202672618892429361152) (.f64 -200 y) (if (<=.f64 y -117289414012862111408092725621991532145799754612966090162463684300416126812160) (.f64 200 x) (if (<=.f64 y -11908480956565439650562123557582442168487635930539200926688068239360) (.f64 -200 y) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) (.f64 200 x) (*.f64 -200 y)))))
(*.f64 -200 y)

Outputs
(fma.f64 -200 y (*.f64 200 x))
(*.f64 200 (-.f64 x y))
(if (<=.f64 y -404961225574359819654380478144232755666099394384820641365171986870842017202672618892429361152) (.f64 -200 y) (if (<=.f64 y -117289414012862111408092725621991532145799754612966090162463684300416126812160) (.f64 200 x) (if (<=.f64 y -11908480956565439650562123557582442168487635930539200926688068239360) (.f64 -200 y) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) (.f64 200 x) (*.f64 -200 y)))))
(*.f64 -200 y)

end52.0ms (0.8%)

Stop Event

1×

done

Compiler

Compiled 100 to 72 computations (28% saved)

Details

analyze67.0ms (1.1%)

sample4.7s (77.2%)

preprocess30.0ms (0.5%)

simplify14.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite42.0ms (0.7%)

simplify10.0ms (0.2%)

eval5.0ms (0.1%)

prune35.0ms (0.6%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite43.0ms (0.7%)

simplify17.0ms (0.3%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite53.0ms (0.9%)

simplify9.0ms (0.1%)

localize15.0ms (0.2%)

series9.0ms (0.1%)

rewrite102.0ms (1.7%)

simplify69.0ms (1.1%)

eval113.0ms (1.8%)

prune57.0ms (0.9%)

localize9.0ms (0.2%)

series11.0ms (0.2%)

rewrite62.0ms (1%)

simplify65.0ms (1.1%)

eval222.0ms (3.6%)

prune32.0ms (0.5%)

regimes22.0ms (0.4%)

regimes35.0ms (0.6%)

regimes49.0ms (0.8%)

bsearch101.0ms (1.7%)

simplify6.0ms (0.1%)

end52.0ms (0.8%)

Profiling