Details

analyze60.0ms (1.7%)

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%	48.4%	1.7%	7
59.3%	38.2%	2.4%	8
67.1%	27.7%	5.2%	9
72.6%	21.3%	6.1%	10
76.9%	14.7%	8.4%	11
79.8%	11.2%	9%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.4s (39%)

Results

1.3s	8255×	body	256	valid
33.0ms	331×	body	256	invalid
0.0ms	1×	body	1024	valid

preprocess31.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

50×	`fma-def_binary64`
7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
5×	`associate-l_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	16
2	34	16
3	42	16
4	56	16
5	68	16
6	94	16
7	109	16
8	111	16
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def_binary64`
6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
4×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	25	8
3	35	8
4	45	8
5	58	8
6	80	8
7	102	8
8	109	8
9	110	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 15 to 7 computations (53.3% 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 y) x) y)
▶	0.0b	(+.f64 x (fma.f64 x y y))

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 4 computations (71.4% saved)

series6.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`pow1_binary64`
599×	`add-log-exp_binary64`
599×	`log1p-expm1-u_binary64`
599×	`expm1-log1p-u_binary64`
585×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	110	8
2	1578	8

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

191×	`fma-neg_binary64`
155×	`fma-def_binary64`
45×	`unsub-neg_binary64`
44×	`cancel-sign-sub-inv_binary64`
38×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	210
1	51	174
2	115	166
3	299	166
4	600	166
5	871	166
6	939	166
7	944	166

Stop Event

1×

saturated

Counts

57 → 46

Calls

Call 1

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

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

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite103.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`pow1_binary64`
846×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	142	13
2	2247	13

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

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

Outputs

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

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

simplify93.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

191×	`fma-neg_binary64`
161×	`fma-def_binary64`
45×	`unsub-neg_binary64`
44×	`cancel-sign-sub-inv_binary64`
36×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	284
1	57	284
2	128	280
3	277	280
4	570	280
5	846	280
6	914	280
7	919	280

Stop Event

1×

saturated

Counts

126 → 92

Calls

Call 1

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

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

eval74.0ms (2%)

Compiler: Compiled 1719 to 598 computations (65.2% saved)

prune63.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	132	6	138
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	133	7	140

Error

Counts

140 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)
▶	29.3b	(*.f64 (+.f64 1 y) x)
▶	24.4b	(+.f64 (*.f64 y x) y)
▶	10.4b	(+.f64 x y)
	34.3b	y
▶	24.4b	(*.f64 (+.f64 1 x) y)
	38.6b	x

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize13.0ms (0.3%)

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)

series6.0ms (0.2%)

Counts

1 → 12

Calls

6 calls:

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

rewrite132.0ms (3.7%)

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)))))))

simplify17.0ms (0.5%)

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)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series35.0ms (1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(*.f64 (+.f64 1 y) x)
1.0ms	x	@	-inf	(*.f64 (+.f64 1 y) x)
1.0ms	y	@	0	(*.f64 (+.f64 1 y) x)
1.0ms	x	@	0	(*.f64 (+.f64 1 y) x)
1.0ms	y	@	-inf	(*.f64 (+.f64 1 y) x)

rewrite58.0ms (1.6%)

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 y) x)

Outputs

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

simplify34.0ms (0.9%)

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	5	54
1	11	54
2	16	54
3	22	54
4	28	54
5	41	54
6	45	54
7	47	54

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

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

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

localize6.0ms (0.2%)

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

localize8.0ms (0.2%)

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)

series4.0ms (0.1%)

Counts

1 → 21

Calls

6 calls:

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

rewrite77.0ms (2.1%)

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)))))

simplify99.0ms (2.7%)

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)

eval53.0ms (1.5%)

Compiler: Compiled 782 to 308 computations (60.6% saved)

prune28.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	1	1	2
Picked	0	1	1
Done	1	3	4
Total	88	8	96

Error

Counts

96 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.4b	(+.f64 (*.f64 y x) x)
✓	24.4b	(+.f64 (*.f64 y x) y)
	38.6b	x
✓	29.3b	(*.f64 (+.f64 1 y) x)
✓	10.4b	(+.f64 x y)
	34.3b	y
✓	24.4b	(*.f64 (+.f64 1 x) y)
▶	53.2b	(*.f64 y x)

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize8.0ms (0.2%)

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

localize8.0ms (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 → 15

Calls

6 calls:

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

rewrite112.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`pow1_binary64`
590×	`add-log-exp_binary64`
589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	112	5
2	1610	5

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	27	93
2	58	69
3	139	69
4	236	69
5	334	69
6	394	69

Stop Event

1×

saturated

Counts

55 → 45

Calls

Call 1

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

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

eval57.0ms (1.6%)

Compiler: Compiled 468 to 182 computations (61.1% saved)

prune16.0ms (0.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	45	8	53

Error

Counts

53 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.4b	(+.f64 (*.f64 y x) x)
✓	24.4b	(+.f64 (*.f64 y x) y)
✓	29.3b	(*.f64 (+.f64 1 y) x)
✓	10.4b	(+.f64 x y)
	34.3b	y
	38.6b	x
✓	24.4b	(*.f64 (+.f64 1 x) y)
✓	53.2b	(*.f64 y x)

Compiler

Compiled 44 to 28 computations (36.4% saved)

eval0.0ms (0%)

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

prune8.0ms (0.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.4b	(+.f64 (*.f64 y x) x)
✓	24.4b	(+.f64 (*.f64 y x) y)
✓	29.3b	(*.f64 (+.f64 1 y) x)
✓	10.4b	(+.f64 x y)
	34.3b	y
	38.6b	x
✓	24.4b	(*.f64 (+.f64 1 x) y)
✓	53.2b	(*.f64 y x)

Compiler

Compiled 44 to 28 computations (36.4% saved)

regimes87.0ms (2.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	x
22.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
17.0ms	y

Results

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

Compiler

Compiled 60 to 26 computations (56.7% saved)

regimes36.0ms (1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
11.0ms	y
10.0ms	x

Results

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

Compiler

Compiled 54 to 24 computations (55.6% saved)

regimes66.0ms (1.8%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	x
23.0ms	y

Results

Error	Segments	Branch
1.8b	2	`x`
0.2b	3	`y`

Compiler

Compiled 38 to 16 computations (57.9% saved)

bsearch54.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.025434878348820023	6494.547449998651
29.0ms	-3.350508677409461e-6	-1.3185037153919477e-22

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes31.0ms (0.9%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
13.0ms	y

Results

Error	Segments	Branch
1.8b	2	`x`
8.1b	2	`y`

Compiler

Compiled 28 to 12 computations (57.1% saved)

bsearch24.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	-45.40019337430003	-1.7356094847639192e-6

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes26.0ms (0.7%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	y
12.0ms	x

Results

Error	Segments	Branch
1.8b	2	`x`
8.2b	2	`y`

Compiler

Compiled 23 to 9 computations (60.9% saved)

bsearch17.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-45.40019337430003	-1.7356094847639192e-6

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes31.0ms (0.9%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	x
13.0ms	y

Results

Error	Segments	Branch
8.9b	3	`x`
8.7b	2	`y`

Compiler

Compiled 18 to 8 computations (55.6% saved)

bsearch17.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-489.1038371446613	-4.857771616355559e-5

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes58.0ms (1.6%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	x
25.0ms	y

Results

Error	Segments	Branch
15.6b	6	`x`
15.7b	3	`y`

Compiler

Compiled 15 to 7 computations (53.3% saved)

bsearch118.0ms (3.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
50.0ms	-1.8756960272177727e-69	-3.033821217192803e-70
17.0ms	-3.898995419130593e-51	-4.0878881673830145e-53
16.0ms	-1.2078544998876657e-30	-1.1884842190593606e-32
17.0ms	-6.626022692270298e+19	-17631381177163678000.0
17.0ms	-1.3274333856662693e+35	-7.371785057112304e+30

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes34.0ms (0.9%)

Counts

4 → 4

Calls

Call 1

Inputs
x
x
y
x

Outputs
x
y
x
y

Calls

2 calls:

17.0ms	x
16.0ms	y

Results

Error	Segments	Branch
17.0b	4	`x`
17.4b	2	`y`

Compiler

Compiled 12 to 6 computations (50% saved)

bsearch72.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
37.0ms	-1.8756960272177727e-69	-3.033821217192803e-70
16.0ms	-3.898995419130593e-51	-4.0878881673830145e-53
19.0ms	-1.2078544998876657e-30	-1.1884842190593606e-32

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes10.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
38.6b	1	`x`
38.6b	1	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	158
1	54	158

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (fma.f64 x y y))
(+.f64 (+.f64 (*.f64 x y) x) y)
(if (<=.f64 y -1977791234845293/590295810358705651712) (.f64 (+.f64 1 y) x) (if (<=.f64 y 469190691446619136/18446744073709551616) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 x -3194754593172595/70368744177664) (*.f64 (+.f64 1 y) x) (+.f64 x y))
(if (<=.f64 x -3194754593172595/70368744177664) (+.f64 (*.f64 y x) x) (+.f64 x y))
(if (<=.f64 y -8604405698086627/17592186044416) (*.f64 y x) (+.f64 x y))
(if (<=.f64 x -132743338566626926606959530274193408) x (if (<=.f64 x -17369720926425049745850368/262144) (*.f64 y x) (if (<=.f64 x -1765281329243322368/1461501637330902918203684832716283019655932542976) x (if (<=.f64 x -105116708555225440/26959946667150639794667015087019630673637144422540572481103610249216) y (if (<=.f64 x -932827218776921984/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x y)))))
(if (<=.f64 x -1765281329243322368/1461501637330902918203684832716283019655932542976) x (if (<=.f64 x -105116708555225440/26959946667150639794667015087019630673637144422540572481103610249216) y (if (<=.f64 x -932827218776921984/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x y)))
x

Outputs
(+.f64 x (fma.f64 x y y))
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 x y)))
(if (<=.f64 y -1977791234845293/590295810358705651712) (.f64 (+.f64 1 y) x) (if (<=.f64 y 469190691446619136/18446744073709551616) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 y -1977791234845293/590295810358705651712) (.f64 x (+.f64 y 1)) (if (<=.f64 y 458194034615839/18014398509481984) (+.f64 x y) (+.f64 y (.f64 x y))))
(if (<=.f64 x -3194754593172595/70368744177664) (*.f64 (+.f64 1 y) x) (+.f64 x y))
(if (<=.f64 x -3194754593172595/70368744177664) (*.f64 x (+.f64 y 1)) (+.f64 x y))
(if (<=.f64 x -3194754593172595/70368744177664) (+.f64 (*.f64 y x) x) (+.f64 x y))
(if (<=.f64 x -3194754593172595/70368744177664) (+.f64 x (*.f64 x y)) (+.f64 x y))
(if (<=.f64 y -8604405698086627/17592186044416) (*.f64 y x) (+.f64 x y))
(if (<=.f64 y -8604405698086627/17592186044416) (*.f64 x y) (+.f64 x y))
(if (<=.f64 x -132743338566626926606959530274193408) x (if (<=.f64 x -17369720926425049745850368/262144) (*.f64 y x) (if (<=.f64 x -1765281329243322368/1461501637330902918203684832716283019655932542976) x (if (<=.f64 x -105116708555225440/26959946667150639794667015087019630673637144422540572481103610249216) y (if (<=.f64 x -932827218776921984/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x y)))))
(if (<=.f64 x -132743338566626926606959530274193408) x (if (<=.f64 x -66260226922702979072) (*.f64 x y) (if (<=.f64 x -861953774044591/713623846352979940529142984724747568191373312) x (if (<=.f64 x -3284897142350795/842498333348457493583344221469363458551160763204392890034487820288) y (if (<=.f64 x -7287712646694703/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) x y)))))
(if (<=.f64 x -1765281329243322368/1461501637330902918203684832716283019655932542976) x (if (<=.f64 x -105116708555225440/26959946667150639794667015087019630673637144422540572481103610249216) y (if (<=.f64 x -932827218776921984/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x y)))
(if (<=.f64 x -861953774044591/713623846352979940529142984724747568191373312) x (if (<=.f64 x -3284897142350795/842498333348457493583344221469363458551160763204392890034487820288) y (if (<=.f64 x -7287712646694703/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) x y)))
x

Compiler

Compiled 131 to 78 computations (40.5% saved)

soundness12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def_binary64`
6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
4×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	25	8
3	35	8
4	45	8
5	58	8
6	80	8
7	102	8
8	109	8
9	110	8

Stop Event

1×

saturated

Compiler

Compiled 35 to 19 computations (45.7% saved)

end90.0ms (2.5%)

Remove: (sort x y)
Compiler: Compiled 131 to 62 computations (52.7% saved)

Details

analyze60.0ms (1.7%)

sample1.4s (39%)

preprocess31.0ms (0.9%)

simplify16.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

series6.0ms (0.2%)

rewrite65.0ms (1.8%)

simplify53.0ms (1.5%)

localize14.0ms (0.4%)

series8.0ms (0.2%)

rewrite103.0ms (2.9%)

simplify93.0ms (2.6%)

eval74.0ms (2%)

prune63.0ms (1.7%)

localize13.0ms (0.3%)

series6.0ms (0.2%)

rewrite132.0ms (3.7%)

simplify17.0ms (0.5%)

localize10.0ms (0.3%)

series35.0ms (1%)

rewrite58.0ms (1.6%)

simplify34.0ms (0.9%)

localize6.0ms (0.2%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite77.0ms (2.1%)

simplify99.0ms (2.7%)

eval53.0ms (1.5%)

prune28.0ms (0.8%)

localize8.0ms (0.2%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite112.0ms (3.1%)

simplify23.0ms (0.6%)

eval57.0ms (1.6%)

prune16.0ms (0.4%)

eval0.0ms (0%)

prune8.0ms (0.2%)

regimes87.0ms (2.4%)

regimes36.0ms (1%)

regimes66.0ms (1.8%)

bsearch54.0ms (1.5%)

regimes31.0ms (0.9%)

bsearch24.0ms (0.7%)

regimes26.0ms (0.7%)

bsearch17.0ms (0.5%)

regimes31.0ms (0.9%)

bsearch17.0ms (0.5%)

regimes58.0ms (1.6%)

bsearch118.0ms (3.3%)

regimes34.0ms (0.9%)

bsearch72.0ms (2%)

regimes10.0ms (0.3%)

simplify8.0ms (0.2%)

soundness12.0ms (0.3%)

end90.0ms (2.5%)

Profiling