Details

analyze67.0ms (3.5%)

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
50%	46.8%	3.2%	7
59.3%	35.9%	4.8%	8
67.1%	25.8%	7.1%	9
72.6%	19.1%	8.3%	10
76.9%	13.5%	9.7%	11
79.8%	9.9%	10.3%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample824.0ms (43%)

Results

791.0ms	8256×	body	256	valid
19.0ms	216×	body	256	invalid

preprocess59.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

650×	`fma-def_binary64`
317×	`fma-neg_binary64`
120×	`cancel-sign-sub-inv_binary64`
74×	`distribute-rgt-in_binary64`
62×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	22	20
2	45	16
3	123	16
4	265	16
5	546	16
6	1093	16
7	1808	16
8	1980	16
9	1998	16
10	1998	16
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (fma.f64 x y y) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)
(-.f64 (*.f64 x (+.f64 1 y)) y)
(fma.f64 x (+.f64 1 y) (neg.f64 y))
(-.f64 (fma.f64 x y x) y)
(fma.f64 y (-.f64 x 1) x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify30.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

406×	`fma-def_binary64`
257×	`fma-neg_binary64`
73×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-in_binary64`
37×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	27	8
3	66	8
4	132	8
5	261	8
6	490	8
7	921	8
8	1250	8
9	1299	8
10	1308	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (fma.f64 x y y) x)

eval1.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series6.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 (+.f64 x 1) y)
0.0ms	x	@	inf	(*.f64 (+.f64 x 1) y)
0.0ms	y	@	inf	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0ms	x	@	-inf	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0ms	y	@	inf	(*.f64 (+.f64 x 1) y)

rewrite60.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
781×	`log1p-expm1-u_binary64`
781×	`expm1-log1p-u_binary64`
780×	`add-log-exp_binary64`
765×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	153	17
2	2112	17

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify39.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

290×	`fma-def_binary64`
221×	`fma-neg_binary64`
69×	`cancel-sign-sub-inv_binary64`
37×	`distribute-rgt-in_binary64`
35×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	286
1	44	286
2	90	286
3	193	286
4	422	286
5	841	286
6	1116	286
7	1145	286
8	1148	286

Stop Event

1×

saturated

Counts

104 → 69

Calls

Call 1

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

Outputs
y
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 y (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 y (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 y (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 (+.f64 1 x) y) (.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (.f64 (+.f64 1 x) y) (.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (.f64 (+.f64 1 x) y) (.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(+.f64 (.f64 (+.f64 1 x) y) (.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (.f64 (+.f64 1 x) y) (.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (.f64 (+.f64 1 x) y) (.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(+.f64 (.f64 (+.f64 1 x) y) (.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (.f64 (+.f64 1 x) y) (.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (.f64 (+.f64 1 x) y) (.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))

eval13.0ms (0.7%)

Compiler: Compiled 837 to 312 computations (62.7% saved)

prune12.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Error

Counts

70 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.7b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
▶	26.7b	(-.f64 (*.f64 y x) x)
▶	8.6b	(-.f64 y x)
▶	34.8b	(neg.f64 x)

Compiler

Compiled 32 to 21 computations (34.4% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.2%)

Counts

1 → 12

Calls

6 calls:

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

rewrite50.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
556×	`add-log-exp_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
545×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1543	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify19.0ms (1%)

Algorithm

1×	egg-herbie

Rules

125×	`fma-def_binary64`
76×	`fma-neg_binary64`
29×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
15×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	74
1	14	74
2	23	74
3	28	74
4	43	74
5	71	74
6	154	74
7	299	74
8	443	74
9	477	74
10	479	74

Stop Event

1×

saturated

Counts

29 → 22

Calls

Call 1

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

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))

localize3.0ms (0.2%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
584×	`add-log-exp_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
571×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1572	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify21.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

85×	`fma-def_binary64`
53×	`fma-neg_binary64`
21×	`associate-l_binary64`
17×	`cancel-sign-sub-inv_binary64`
17×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	158
1	32	158
2	66	158
3	136	158
4	278	158
5	390	158
6	448	158
7	452	158

Stop Event

1×

saturated

Counts

62 → 46

Calls

Call 1

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

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))

eval42.0ms (2.2%)

Compiler: Compiled 658 to 283 computations (57% saved)

prune11.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	68	5	73

Error

Counts

73 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.7b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
▶	54.3b	(*.f64 y x)
✓	8.6b	(-.f64 y x)
✓	34.8b	(neg.f64 x)

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.7b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
✓	54.3b	(*.f64 y x)
✓	8.6b	(-.f64 y x)
✓	34.8b	(neg.f64 x)

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes19.0ms (1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)

Calls

3 calls:

8.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
5.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

regimes57.0ms (3%)

Counts

5 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)

Outputs
(*.f64 (-.f64 y 1) x)
(-.f64 y x)
(*.f64 (-.f64 y 1) x)

Calls

2 calls:

29.0ms	y
27.0ms	x

Results

Error	Segments	Branch
0.8b	3	`x`
6.2b	5	`y`

Compiler

Compiled 26 to 13 computations (50% saved)

bsearch57.0ms (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	0.01460584734853532	42.6667914569012
31.0ms	-822228.7783874534	-1.7985033032351837e-8

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes44.0ms (2.3%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	y
8.0ms	x

Results

Error	Segments	Branch
8.6b	1	`x`
6.2b	5	`y`

Compiler

Compiled 16 to 9 computations (43.8% saved)

bsearch258.0ms (13.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	-1.118461031380904e+24	-2.214616529906001e+19
134.0ms	-1.417735152193689e+64	-5.4239138149555025e+57
64.0ms	-2.5754509293126153e+130	-1.3693543742257486e+129
42.0ms	-3.215234277035723e+203	-4.004764121287068e+202

Compiler

Compiled 278 to 186 computations (33.1% saved)

regimes13.0ms (0.7%)

Accuracy

Total -34.7b remaining (-127.4%)

Threshold costs -34.7b (-127.4%)

Counts

2 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y x)

Outputs
(*.f64 y x)
(neg.f64 x)
(*.f64 y x)

Calls

2 calls:

8.0ms	y
3.0ms	x

Results

Error	Segments	Branch
34.8b	1	`x`
27.3b	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch69.0ms (3.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.0016066581281774998	2485538.41944177
52.0ms	-3.729640543604773e-18	-4.7831515415412096e-26

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	110
1	50	110
2	55	110
3	56	110

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -220715357062759/268435456) (.f64 (-.f64 y 1) x) (if (<=.f64 x 4209848875282817/288230376151711744) (-.f64 y x) (.f64 (-.f64 y 1) x)))
(if (<=.f64 y -40999999999999998147187042988009130348049020345212110002087846268101432332817523762155597786227779630376077481005154696794168082935025009022888469853449610127352656798275263103290919453155534505953460224) (-.f64 y x) (if (<=.f64 y -25499999999999997953661683726066508609172681067947130221926345334790016641851294127823393327785121919368609731277545082382343733248) (.f64 y x) (if (<=.f64 y -5500000000000000178794520703784878169782272149865166274560) (-.f64 y x) (if (<=.f64 y -1118461031380903975190528) (.f64 y x) (-.f64 y x)))))
(if (<=.f64 y -4841350219505797/1298074214633706907132624082305024) (.f64 y x) (if (<=.f64 y 3704701413054447/2305843009213693952) (neg.f64 x) (.f64 y x)))
(neg.f64 x)

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -220715357062759/268435456) (.f64 (-.f64 y 1) x) (if (<=.f64 x 4209848875282817/288230376151711744) (-.f64 y x) (.f64 (-.f64 y 1) x)))
(if (<=.f64 x -220715357062759/268435456) (.f64 x (+.f64 y -1)) (if (<=.f64 x 4209848875282817/288230376151711744) (-.f64 y x) (.f64 x (+.f64 y -1))))
(if (<=.f64 y -40999999999999998147187042988009130348049020345212110002087846268101432332817523762155597786227779630376077481005154696794168082935025009022888469853449610127352656798275263103290919453155534505953460224) (-.f64 y x) (if (<=.f64 y -25499999999999997953661683726066508609172681067947130221926345334790016641851294127823393327785121919368609731277545082382343733248) (.f64 y x) (if (<=.f64 y -5500000000000000178794520703784878169782272149865166274560) (-.f64 y x) (if (<=.f64 y -1118461031380903975190528) (.f64 y x) (-.f64 y x)))))
(if (<=.f64 y -40999999999999998147187042988009130348049020345212110002087846268101432332817523762155597786227779630376077481005154696794168082935025009022888469853449610127352656798275263103290919453155534505953460224) (-.f64 y x) (if (<=.f64 y -25499999999999997953661683726066508609172681067947130221926345334790016641851294127823393327785121919368609731277545082382343733248) (.f64 x y) (if (<=.f64 y -5500000000000000178794520703784878169782272149865166274560) (-.f64 y x) (if (<=.f64 y -1118461031380903975190528) (.f64 x y) (-.f64 y x)))))
(if (<=.f64 y -4841350219505797/1298074214633706907132624082305024) (.f64 y x) (if (<=.f64 y 3704701413054447/2305843009213693952) (neg.f64 x) (.f64 y x)))
(if (<=.f64 y -4841350219505797/1298074214633706907132624082305024) (.f64 x y) (if (<=.f64 y 3704701413054447/2305843009213693952) (neg.f64 x) (.f64 x y)))
(neg.f64 x)

Compiler

Compiled 87 to 50 computations (42.5% saved)

soundness0.0ms (0%)

end44.0ms (2.3%)

Compiler: Compiled 79 to 39 computations (50.6% saved)

Iter	Nodes	Cost
0	7	74
1	14	74
2	23	74
3	28	74
4	43	74
5	71	74
6	154	74
7	299	74
8	443	74
9	477	74
10	479	74

Iter	Nodes	Cost
0	7	74
1	14	74
2	23	74
3	28	74
4	43	74
5	71	74
6	154	74
7	299	74
8	443	74
9	477	74
10	479	74

Details

analyze67.0ms (3.5%)

sample824.0ms (43%)

preprocess59.0ms (3.1%)

simplify30.0ms (1.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.4%)

series6.0ms (0.3%)

rewrite60.0ms (3.1%)

simplify39.0ms (2.1%)

eval13.0ms (0.7%)

prune12.0ms (0.6%)

localize2.0ms (0.1%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite50.0ms (2.6%)

simplify19.0ms (1%)

localize3.0ms (0.2%)

localize4.0ms (0.2%)

series3.0ms (0.1%)

rewrite56.0ms (2.9%)

simplify21.0ms (1.1%)

eval42.0ms (2.2%)

prune11.0ms (0.6%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes19.0ms (1%)

regimes57.0ms (3%)

bsearch57.0ms (3%)

regimes44.0ms (2.3%)

bsearch258.0ms (13.4%)

regimes13.0ms (0.7%)

bsearch69.0ms (3.6%)

simplify8.0ms (0.4%)

soundness0.0ms (0%)

end44.0ms (2.3%)

Profiling

Iter	Nodes	Cost
0	7	74
1	14	74
2	23	74
3	28	74
4	43	74
5	71	74
6	154	74
7	299	74
8	443	74
9	477	74
10	479	74