Details

analyze84.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
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)

sample1.4s (32.6%)

Results

1.4s	8256×	body	256	valid
33.0ms	228×	body	256	invalid

preprocess115.0ms (2.6%)

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)

simplify115.0ms (2.6%)

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)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize20.0ms (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)

series10.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite102.0ms (2.3%)

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))))))

simplify53.0ms (1.2%)

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))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 4 computations (71.4% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	111	8
2	1583	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify34.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

185×	`fma-neg_binary64`
182×	`fma-def_binary64`
44×	`unsub-neg_binary64`
43×	`distribute-rgt-in_binary64`
40×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	176
1	54	176
2	132	172
3	350	172
4	668	172
5	931	172
6	1004	172
7	1008	172

Stop Event

1×

saturated

Counts

61 → 51

Calls

Call 1

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

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

eval54.0ms (1.2%)

Compiler: Compiled 1446 to 513 computations (64.5% saved)

prune51.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	115	7	122

Error

Counts

122 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.5b	(*.f64 (+.f64 1 x) y)
▶	11.6b	(-.f64 y x)
▶	0b	(fma.f64 y x (-.f64 y x))
	38.8b	y
▶	24.5b	(-.f64 (*.f64 y x) x)
	0.0b	(-.f64 (+.f64 (*.f64 y x) y) x)
▶	35.2b	(neg.f64 x)

Compiler

Compiled 83 to 50 computations (39.8% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 4 computations (69.2% saved)

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite99.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1520	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 x y)) 1)))) (#(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 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 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 1 x)))))) (#(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)))))))

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	54
1	8	54
2	12	54
3	16	54
4	22	54
5	28	54
6	41	54
7	45	54
8	47	54

Stop Event

1×

saturated

Counts

31 → 22

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))

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)

localize5.0ms (0.1%)

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	y	@	0	(-.f64 (*.f64 y x) x)
1.0ms	x	@	inf	(-.f64 (*.f64 y x) x)
0.0ms	x	@	-inf	(-.f64 (*.f64 y x) x)
0.0ms	x	@	0	(-.f64 (*.f64 y x) x)
0.0ms	y	@	-inf	(-.f64 (*.f64 y x) x)

rewrite110.0ms (2.5%)

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))))))

simplify24.0ms (0.5%)

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))

eval14.0ms (0.3%)

Compiler: Compiled 659 to 248 computations (62.4% saved)

prune20.0ms (0.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	2	0	2
Picked	0	1	1
Done	1	3	4
Total	67	8	75

Error

Counts

75 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.5b	(*.f64 (+.f64 1 x) y)
✓	11.6b	(-.f64 y x)
▶	51.6b	(*.f64 y x)
▶	27.5b	(+.f64 (*.f64 y x) y)
✓	24.5b	(-.f64 (*.f64 y x) x)
	38.8b	y
▶	24.5b	(fma.f64 y x (neg.f64 x))
✓	35.2b	(neg.f64 x)

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize4.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 21

Calls

6 calls:

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

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
575×	`add-log-exp_binary64`
575×	`log1p-expm1-u_binary64`
575×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	110	5
2	1565	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

68×	`fma-def_binary64`
53×	`fma-neg_binary64`
20×	`unsub-neg_binary64`
16×	`distribute-lft-in_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	135
1	29	99
2	62	99
3	139	99
4	238	99
5	336	99
6	396	99

Stop Event

1×

saturated

Counts

59 → 44

Calls

Call 1

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

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

localize6.0ms (0.1%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

eval9.0ms (0.2%)

Compiler: Compiled 451 to 171 computations (62.1% saved)

prune10.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	0	1
Picked	0	1	1
Done	0	6	6
Total	44	8	52

Error

Counts

52 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.5b	(*.f64 (+.f64 1 x) y)
✓	11.6b	(-.f64 y x)
✓	51.6b	(*.f64 y x)
	38.8b	y
✓	27.5b	(+.f64 (*.f64 y x) y)
✓	24.5b	(-.f64 (*.f64 y x) x)
✓	24.5b	(fma.f64 y x (neg.f64 x))
✓	35.2b	(neg.f64 x)

Compiler

Compiled 45 to 28 computations (37.8% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.5b	(*.f64 (+.f64 1 x) y)
✓	11.6b	(-.f64 y x)
✓	51.6b	(*.f64 y x)
	38.8b	y
✓	27.5b	(+.f64 (*.f64 y x) y)
✓	24.5b	(-.f64 (*.f64 y x) x)
✓	24.5b	(fma.f64 y x (neg.f64 x))
✓	35.2b	(neg.f64 x)

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes32.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
10.0ms	y
8.0ms	x

Results

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

Compiler

Compiled 74 to 29 computations (60.8% saved)

regimes46.0ms (1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
9.0ms	y
8.0ms	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 62 to 26 computations (58.1% saved)

regimes63.0ms (1.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	y
17.0ms	x

Results

Error	Segments	Branch
1.0b	3	`x`
0.7b	3	`y`

Compiler

Compiled 34 to 14 computations (58.8% saved)

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	0.18327023206112672	0.847000604379472
16.0ms	-3579.0988771741213	-2814.2471217956813

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes57.0ms (1.3%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	x
27.0ms	y

Results

Error	Segments	Branch
10.2b	3	`x`
9.2b	5	`y`

Compiler

Compiled 19 to 9 computations (52.6% saved)

bsearch326.0ms (7.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
235.0ms	3.8120113252603477e+83	3.9131818116214745e+85
56.0ms	2.342093802916112e+36	3.1207936163784135e+39
18.0ms	-9034363349901394.0	-1803258792196531.0
17.0ms	-1.1065249413986918e+21	-4.884498761776704e+19

Compiler

Compiled 84 to 59 computations (29.8% saved)

regimes145.0ms (3.3%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

2 calls:

110.0ms	y
29.0ms	x

Results

Error	Segments	Branch
19.7b	3	`x`
13.5b	7	`y`

Compiler

Compiled 16 to 8 computations (50% saved)

bsearch679.0ms (15.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
269.0ms	3.8120113252603477e+83	3.9131818116214745e+85
31.0ms	2.342093802916112e+36	3.1207936163784135e+39
53.0ms	2.6843551990494734e-28	3.77527973267057e-22
31.0ms	-1.0119576914670136e-13	-3.488665238929869e-14
29.0ms	-9034363349901394.0	-1803258792196531.0
266.0ms	-1.0284373605386679e+83	-1.0021122752828545e+79

Compiler

Compiled 164 to 115 computations (29.9% saved)

regimes58.0ms (1.3%)

Counts

4 → 3

Calls

Call 1

Inputs
y
y
y
(neg.f64 x)

Outputs
y
(neg.f64 x)
y

Calls

2 calls:

30.0ms	y
26.0ms	x

Results

Error	Segments	Branch
19.7b	3	`x`
16.0b	3	`y`

Compiler

Compiled 13 to 7 computations (46.2% saved)

bsearch64.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	2.6843551990494734e-28	3.77527973267057e-22
33.0ms	-1.0119576914670136e-13	-3.488665238929869e-14

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes19.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
y
y
y

Outputs
y

Calls

2 calls:

9.0ms	y
8.0ms	x

Results

Error	Segments	Branch
38.8b	1	`x`
38.8b	1	`y`

Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	158
1	49	158
2	53	158
3	54	158

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
(-.f64 (+.f64 (*.f64 y x) y) x)
(if (<=.f64 y -983815208103243/274877906944) (+.f64 (.f64 y x) y) (if (<=.f64 y 3380739067160963584/18446744073709551616) (-.f64 y x) (+.f64 (.f64 y x) y)))
(if (<=.f64 y -1106524941398691807232) (-.f64 y x) (if (<=.f64 y -9034363349901394) (.f64 y x) (if (<=.f64 y 2342093802916111953539648837545623552) (-.f64 y x) (if (<=.f64 y 390000000000000016058590660149046163230450558682753651795321665251800414801734139904) (.f64 y x) y))))
(if (<=.f64 y -10200000000000000621423919753026934057083457562046272401518147178481984028540928) y (if (<=.f64 y -9034363349901394) (.f64 y x) (if (<=.f64 y -8017554843710832/79228162514264337593543950336) y (if (<=.f64 y 2993156065817663/11150372599265311570767859136324180752990208) (neg.f64 x) (if (<=.f64 y 2342093802916111953539648837545623552) y (if (<=.f64 y 390000000000000016058590660149046163230450558682753651795321665251800414801734139904) (.f64 y x) y))))))
(if (<=.f64 y -8017554843710832/79228162514264337593543950336) y (if (<=.f64 y 2993156065817663/11150372599265311570767859136324180752990208) (neg.f64 x) y))
y

Outputs
(fma.f64 y x (-.f64 y x))
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 y (*.f64 y x)) x)
(if (<=.f64 y -983815208103243/274877906944) (+.f64 (.f64 y x) y) (if (<=.f64 y 3380739067160963584/18446744073709551616) (-.f64 y x) (+.f64 (.f64 y x) y)))
(if (<=.f64 y -983815208103243/274877906944) (+.f64 y (.f64 y x)) (if (<=.f64 y 6603005990548757/36028797018963968) (-.f64 y x) (+.f64 y (.f64 y x))))
(if (<=.f64 y -1106524941398691807232) (-.f64 y x) (if (<=.f64 y -9034363349901394) (.f64 y x) (if (<=.f64 y 2342093802916111953539648837545623552) (-.f64 y x) (if (<=.f64 y 390000000000000016058590660149046163230450558682753651795321665251800414801734139904) (.f64 y x) y))))
(if (<=.f64 y -10200000000000000621423919753026934057083457562046272401518147178481984028540928) y (if (<=.f64 y -9034363349901394) (.f64 y x) (if (<=.f64 y -8017554843710832/79228162514264337593543950336) y (if (<=.f64 y 2993156065817663/11150372599265311570767859136324180752990208) (neg.f64 x) (if (<=.f64 y 2342093802916111953539648837545623552) y (if (<=.f64 y 390000000000000016058590660149046163230450558682753651795321665251800414801734139904) (.f64 y x) y))))))
(if (<=.f64 y -10200000000000000621423919753026934057083457562046272401518147178481984028540928) y (if (<=.f64 y -9034363349901394) (.f64 y x) (if (<=.f64 y -501097177731927/4951760157141521099596496896) y (if (<=.f64 y 2993156065817663/11150372599265311570767859136324180752990208) (neg.f64 x) (if (<=.f64 y 2342093802916111953539648837545623552) y (if (<=.f64 y 390000000000000016058590660149046163230450558682753651795321665251800414801734139904) (.f64 y x) y))))))
(if (<=.f64 y -8017554843710832/79228162514264337593543950336) y (if (<=.f64 y 2993156065817663/11150372599265311570767859136324180752990208) (neg.f64 x) y))
(if (<=.f64 y -501097177731927/4951760157141521099596496896) y (if (<=.f64 y 2993156065817663/11150372599265311570767859136324180752990208) (neg.f64 x) y))
y

Compiler

Compiled 126 to 69 computations (45.2% saved)

soundness175.0ms (4%)

Algorithm

2×	egg-herbie

Rules

406×	`fma-def_binary64`
257×	`fma-neg_binary64`
185×	`fma-neg_binary64`
182×	`fma-def_binary64`
73×	`cancel-sign-sub-inv_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
0	21	176
1	54	176
2	132	172
3	350	172
4	668	172
5	931	172
6	1004	172
7	1008	172

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 123 to 76 computations (38.2% saved)

end105.0ms (2.4%)

Compiler: Compiled 114 to 50 computations (56.1% saved)

Details

analyze84.0ms (1.9%)

sample1.4s (32.6%)

preprocess115.0ms (2.6%)

simplify115.0ms (2.6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize20.0ms (0.4%)

series10.0ms (0.2%)

rewrite102.0ms (2.3%)

simplify53.0ms (1.2%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite68.0ms (1.5%)

simplify34.0ms (0.8%)

eval54.0ms (1.2%)

prune51.0ms (1.1%)

localize5.0ms (0.1%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite99.0ms (2.3%)

simplify10.0ms (0.2%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite110.0ms (2.5%)

simplify24.0ms (0.5%)

eval14.0ms (0.3%)

prune20.0ms (0.5%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite57.0ms (1.3%)

simplify24.0ms (0.5%)

localize6.0ms (0.1%)

eval9.0ms (0.2%)

prune10.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes32.0ms (0.7%)

regimes46.0ms (1%)

regimes63.0ms (1.4%)

bsearch41.0ms (0.9%)

regimes57.0ms (1.3%)

bsearch326.0ms (7.4%)

regimes145.0ms (3.3%)

bsearch679.0ms (15.4%)

regimes58.0ms (1.3%)

bsearch64.0ms (1.5%)

regimes19.0ms (0.4%)

simplify19.0ms (0.4%)

soundness175.0ms (4%)

end105.0ms (2.4%)

Profiling