Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample877.0ms (10.2%)

Results

732.0ms	7514×	body	256	valid
99.0ms	505×	body	1024	valid
32.0ms	237×	body	512	valid
0.0ms	6×	body	256	infinite

Bogosity

preprocess72.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

927×	`fma-def_binary64`
395×	`fma-neg_binary64`
127×	`cancel-sign-sub-inv_binary64`
83×	`distribute-rgt-in_binary64`
66×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	43	10
3	101	8
4	227	8
5	361	8
6	545	8
7	816	8
8	1369	8
9	1511	8
10	1827	8
11	2245	8
12	2354	8
13	2358	8
14	2358	8
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Outputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
395×	`fma-neg_binary64`
127×	`cancel-sign-sub-inv_binary64`
83×	`distribute-rgt-in_binary64`
66×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	43	10
3	101	8
4	227	8
5	361	8
6	545	8
7	816	8
8	1369	8
9	1511	8
10	1827	8
11	2245	8
12	2354	8
13	2358	8
14	2358	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Outputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))

eval1.0ms (0%)

Compiler: Compiled 16 to 12 computations (25% saved)

prune1.0ms (0%)

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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 x (fma.f64 x -9 6))
▶	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x -9 6)
✓	0.1b	(*.f64 x (fma.f64 x -9 6))

Compiler

Compiled 14 to 10 computations (28.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 x (fma.f64 x -9 6))
1.0ms	x	@	-inf	(*.f64 x (fma.f64 x -9 6))
1.0ms	x	@	0	(*.f64 x (fma.f64 x -9 6))
0.0ms	x	@	-inf	(fma.f64 x -9 6)
0.0ms	x	@	inf	(fma.f64 x -9 6)

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`pow1_binary64`
530×	`add-sqr-sqrt_binary64`
506×	`add-log-exp_binary64`
506×	`log1p-expm1-u_binary64`
506×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1338	13

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x -9 6))
(fma.f64 x -9 6)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -9) x) (.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -9)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x -9 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -9) 1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x -9) 3) 216) (+.f64 (.f64 (.f64 x -9) (.f64 x -9)) (-.f64 36 (.f64 (.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) 36) (-.f64 (*.f64 x -9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -9 6)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -9) x) (*.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -9)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -9) 1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -9) 3) 216) (+.f64 (*.f64 (*.f64 x -9) (*.f64 x -9)) (-.f64 36 (*.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -9) (*.f64 x -9)) 36) (-.f64 (*.f64 x -9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -9 6)))))))

simplify193.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
558×	`fabs-mul_binary64`
535×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	171
1	23	171
2	36	144
3	62	144
4	156	144
5	471	144
6	1719	144
7	2966	144
8	3170	144
9	3383	144
10	3603	144
11	3914	144
12	4314	144
13	4829	144
14	5395	144
15	6085	144
16	6918	144
17	7310	144
18	7600	144
19	7878	144
20	7954	144
21	7990	144

Stop Event

1×	node limit

Counts

58 → 45

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2 (*.f64 x 3))
✓	0.1b	(.f64 3 (-.f64 2 (.f64 x 3)))
✓	0.1b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Compiler

Compiled 28 to 22 computations (21.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
1.0ms	x	@	0	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
1.0ms	x	@	inf	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
0.0ms	x	@	-inf	(.f64 3 (-.f64 2 (.f64 x 3)))
0.0ms	x	@	0	(.f64 3 (-.f64 2 (.f64 x 3)))

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary64`
827×	`add-log-exp_binary64`
826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	177	30
2	2227	30

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 3 (-.f64 2 (.f64 x 3)))
(-.f64 2 (*.f64 x 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 x (-.f64 2 (.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 3 (-.f64 2 (.f64 3 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 (-.f64 2 (.f64 3 x))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 3 (-.f64 2 (.f64 3 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (.f64 (.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (.f64 3 (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 3 (-.f64 2 (.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 8 (.f64 27 (pow.f64 x 3)))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (-.f64 2 (.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (-.f64 2 (.f64 3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 (-.f64 2 (.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (-.f64 2 (.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (-.f64 2 (.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 2 (.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 2 (.f64 3 x))) (pow.f64 (cbrt.f64 (-.f64 2 (.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 2 (.f64 3 x))) 2) (cbrt.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 2 (.f64 3 x))) (sqrt.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (/.f64 1 (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))) (-.f64 8 (.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (.f64 27 (pow.f64 x 3)))) (neg.f64 (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (.f64 9 (.f64 x x)))) (neg.f64 (+.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (.f64 x -3) 3)) (+.f64 4 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 2 (.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 (.f64 x -3) (.f64 x -3))) (-.f64 2 (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (*.f64 3 x))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 (*.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 3 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (-.f64 2 (*.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) 3) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 8 (*.f64 27 (pow.f64 x 3)))) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 4 (*.f64 9 (*.f64 x x)))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (-.f64 2 (*.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (-.f64 2 (*.f64 3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (-.f64 2 (*.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (-.f64 2 (*.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) 2) (cbrt.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (*.f64 3 x))) (sqrt.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) (/.f64 1 (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (/.f64 1 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))) (-.f64 8 (*.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 3 x)) (-.f64 4 (*.f64 9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3)))) (neg.f64 (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (*.f64 9 (*.f64 x x)))) (neg.f64 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 x -3) 3)) (+.f64 4 (-.f64 (*.f64 (*.f64 x -3) (*.f64 x -3)) (*.f64 2 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (*.f64 x -3) (*.f64 x -3))) (-.f64 2 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (*.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (*.f64 3 x))))))))

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
597×	`associate-l_binary64`
540×	`cube-prod_binary64`
531×	`fabs-mul_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	225
1	29	225
2	43	198
3	73	198
4	180	198
5	540	198
6	1899	198
7	3170	198
8	3374	198
9	3588	198
10	3808	198
11	4120	198
12	4520	198
13	5033	198
14	5601	198
15	6283	198
16	7120	198
17	7516	198
18	7802	198

Stop Event

1×	node limit

Counts

94 → 75

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
2
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
2
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)

eval35.0ms (0.4%)

Compiler: Compiled 1326 to 1034 computations (22% saved)

prune34.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	104	16	120
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	105	17	122

Error

0.0b

Counts

122 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(*.f64 x (fma.f64 x -9 6))
	43.3b	(cbrt.f64 (.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3) (pow.f64 x 3)))
	10.7b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
	0.3b	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
▶	0.3b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	43.2b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
	39.7b	(.f64 (.f64 3 (*.f64 x -3)) x)
	11.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
	39.7b	(*.f64 -9 (pow.f64 x 2))
▶	10.0b	(.f64 (.f64 3 (/.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))) x)
▶	42.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
	0.4b	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
	39.7b	(.f64 (.f64 x -9) x)
▶	22.2b	(*.f64 x 6)
	60.8b	(log.f64 (pow.f64 (exp.f64 3) (.f64 x (-.f64 2 (.f64 3 x)))))
▶	0.4b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
	0.3b	(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))

Compiler

Compiled 409 to 327 computations (20% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -9 x) 6)
✓	0.1b	(.f64 (+.f64 (.f64 -9 x) 6) x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 21

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (+.f64 (.f64 -9 x) 6) x)
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 -9 x) 6) x)
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 -9 x) 6) x)
0.0ms	x	@	inf	(+.f64 (*.f64 -9 x) 6)
0.0ms	x	@	0	(+.f64 (*.f64 -9 x) 6)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`pow1_binary64`
705×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
694×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	153	13
2	1860	13

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -9 x) 6) x)
(+.f64 (*.f64 -9 x) 6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -9 x) x) (*.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 x) (*.f64 (*.f64 -9 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -9 x)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 x (*.f64 -9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 -9 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (*.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 216 (*.f64 (pow.f64 x 3) -729))) (+.f64 (pow.f64 (*.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -9 x) 2) -36)) (fma.f64 -9 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 -9 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 -9 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -9 x 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -9 x 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -9 x 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -9 x 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -9 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -9 x 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -9 x 6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -9 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -9 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 -9 x 6))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -9 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 -9 x) 2) (fma.f64 -9 x -6)) (/.f64 36 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -9 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -9 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -9 x 6)) (pow.f64 (cbrt.f64 (fma.f64 -9 x 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x 6)) 2) (cbrt.f64 (fma.f64 -9 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -9 x 6)) (sqrt.f64 (fma.f64 -9 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 (pow.f64 (*.f64 -9 x) 2) (-.f64 36 (*.f64 x -54)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -9 x) 2) -36) (/.f64 1 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))) (+.f64 216 (*.f64 (pow.f64 x 3) -729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -9 x -6) (+.f64 (pow.f64 (*.f64 -9 x) 2) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729)) (+.f64 (pow.f64 (*.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729)) (+.f64 36 (-.f64 (pow.f64 (*.f64 -9 x) 2) (*.f64 x -54))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -9 x) 2) -36) (fma.f64 -9 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729))) (neg.f64 (+.f64 (pow.f64 (*.f64 -9 x) 2) (-.f64 36 (*.f64 x -54)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -9 x) 2) -36)) (neg.f64 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (pow.f64 (*.f64 -9 x) 2)) (-.f64 6 (*.f64 -9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -9 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -9 x 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -9 x 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -9 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -9 x 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -9 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -9 x 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -9 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -9 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -9 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -9 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -9 x)) 2) (cbrt.f64 (*.f64 -9 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -9 x)) (sqrt.f64 (*.f64 -9 x)) 6)))))

simplify196.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
535×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	168
1	22	156
2	36	129
3	62	129
4	156	129
5	471	129
6	1719	129
7	2966	129
8	3170	129
9	3383	129
10	3603	129
11	3914	129
12	4314	129
13	4829	129
14	5395	129
15	6083	129
16	6916	129
17	7310	129
18	7602	129
19	7880	129
20	7956	129
21	7992	129

Stop Event

1×	node limit

Counts

74 → 62

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
6
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)

localize4.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (.f64 3 x))))
✓	0.1b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
✓	0.2b	(.f64 9 (.f64 x x))
✓	0.2b	(/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))

Compiler

Compiled 74 to 50 computations (32.4% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))
1.0ms	x	@	inf	(/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))
1.0ms	x	@	inf	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
1.0ms	x	@	-inf	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
1.0ms	x	@	0	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)

rewrite224.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`log-prod_binary64`
598×	`prod-diff_binary64`
277×	`fma-def_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	318	37
2	4328	37

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

Inputs
(/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))
(.f64 9 (.f64 x x))
(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
(.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (.f64 3 x))))

Outputs
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simplify243.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
639×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	309
1	32	309
2	50	282
3	90	282
4	229	282
5	713	282
6	1041	282
7	1480	282
8	1584	282
9	1718	282
10	1887	282
11	2128	282
12	2445	282
13	2817	282
14	3277	282
15	3862	282
16	4570	282
17	5430	282
18	5858	282
19	6172	282
20	6478	282
21	6562	282
22	6596	282

Stop Event

1×	node limit

Counts

280 → 250

Calls

Call 1

Inputs
2
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))

Outputs
2
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)

localize109.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 3 (/.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (*.f64 6 x)))))
✓	0.1b	(*.f64 27 (pow.f64 x 3))
	0.2b	(.f64 9 (.f64 x x))
✓	9.4b	(/.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))

Compiler

Compiled 117 to 83 computations (29.1% saved)

series57.0ms (0.7%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	x	@	0	(/.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))
3.0ms	x	@	-inf	(/.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))
2.0ms	x	@	inf	(/.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))
1.0ms	x	@	inf	(*.f64 27 (pow.f64 x 3))
1.0ms	x	@	-inf	(*.f64 27 (pow.f64 x 3))

rewrite143.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`fma-def_binary64`
320×	`expm1-udef_binary64`
320×	`log1p-udef_binary64`
280×	`fma-neg_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	62
1	415	60
2	5493	48

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs

(/.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))

(*.f64 27 (pow.f64 x 3))

(*.f64 3 (/.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 8 (fma.f64 x (fma.f64 x 9 6) 4)) (neg.f64 (/.f64 (*.f64 27 (pow.f64 x 3)) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 8 (fma.f64 x (fma.f64 x 9 6) 4)) (/.f64 (*.f64 27 (pow.f64 x 3)) (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -27 8) (/.f64 1 (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) (/.f64 1 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) (/.f64 1 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -27 8)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x 9 6) 4)) (fma.f64 (pow.f64 x 3) -27 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 6) 4) 2))) (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (cbrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 6) 4) 2))) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 6) 4) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) (cbrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))) (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (sqrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -27 8)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (+.f64 64 (pow.f64 (*.f64 x (fma.f64 x 9 6)) 3))) (fma.f64 (*.f64 x (fma.f64 x 9 6)) (fma.f64 x (fma.f64 x 9 6) -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (-.f64 16 (pow.f64 (*.f64 x (fma.f64 x 9 6)) 2))) (-.f64 4 (*.f64 x (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (neg.f64 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -27 8) 3) (pow.f64 (fma.f64 x (fma.f64 x 9 6) 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 8 (/.f64 1 (fma.f64 x (fma.f64 x 9 6) 4)) (neg.f64 (/.f64 (*.f64 27 (pow.f64 x 3)) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 8 (fma.f64 x (fma.f64 x 9 6) 4)) (neg.f64 (/.f64 (*.f64 27 (pow.f64 x 3)) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 8 (fma.f64 x (fma.f64 x 9 6) 4))) (cbrt.f64 (/.f64 8 (fma.f64 x (fma.f64 x 9 6) 4)))) (cbrt.f64 (/.f64 8 (fma.f64 x (fma.f64 x 9 6) 4))) (neg.f64 (/.f64 (*.f64 27 (pow.f64 x 3)) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 8 (fma.f64 x (fma.f64 x 9 6) 4))) (sqrt.f64 (/.f64 8 (fma.f64 x (fma.f64 x 9 6) 4))) (neg.f64 (/.f64 (*.f64 27 (pow.f64 x 3)) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 8 (+.f64 64 (pow.f64 (*.f64 x (fma.f64 x 9 6)) 3))) (fma.f64 (*.f64 x (fma.f64 x 9 6)) (fma.f64 x (fma.f64 x 9 6) -4) 16) (neg.f64 (/.f64 (*.f64 27 (pow.f64 x 3)) (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 8 (-.f64 16 (pow.f64 (*.f64 x (fma.f64 x 9 6)) 2))) (-.f64 4 (*.f64 x (fma.f64 x 9 6))) (neg.f64 (/.f64 (*.f64 27 (pow.f64 x 3)) (fma.f64 x (fma.f64 x 9 6) 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 27 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 27) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 19683) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 729 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 27))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 19683))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)) (fma.f64 x (fma.f64 x 9 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) (neg.f64 (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)) 1) (fma.f64 x (fma.f64 x 9 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 6) 4) 2))) (cbrt.f64 (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))) (sqrt.f64 (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -27 8)) 3) (neg.f64 (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (neg.f64 (fma.f64 (pow.f64 x 3) -27 8))) (neg.f64 (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3 (/.f64 (fma.f64 x (fma.f64 x 9 6) 4) (fma.f64 (pow.f64 x 3) -27 8)))) 1))))))

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	108
1	16	108
2	18	108

Stop Event

1×

saturated

Counts

102 → 89

Calls

Call 1

Inputs
2
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))

Outputs
2
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))))
✓	0.1b	(.f64 3 (-.f64 2 (.f64 3 x)))
✓	0.1b	(.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)

Compiler

Compiled 50 to 40 computations (20% saved)

series14.0ms (0.2%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
2.0ms	x	@	-inf	(.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
1.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))))

rewrite104.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
892×	`add-log-exp_binary64`
891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	223	51
2	2476	51

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
(.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))
(.f64 3 (-.f64 2 (.f64 3 x)))
(sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 6 x) (.f64 (.f64 x -3) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 6 x) (.f64 (.f64 x 3) (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 6 (.f64 (.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 x (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 3) (+.f64 2 (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (.f64 x -3)) (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 6 (.f64 (.f64 x -3) 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))) (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 2)) (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (.f64 (cbrt.f64 (.f64 x 3)) (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (+.f64 6 (.f64 (.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) 2) (.f64 (cbrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 6 (.f64 (.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4) (.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4) (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) (.f64 (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4)) (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 2 (.f64 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) 2)) (cbrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3)))) (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2)) (cbrt.f64 (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x 3) (sqrt.f64 (+.f64 2 (.f64 x -3)))) (sqrt.f64 (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))) (cbrt.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x 3) (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 (+.f64 4 (.f64 (.f64 x x) 9)) (.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x 3) (-.f64 4 (.f64 (.f64 x x) 9))) (+.f64 2 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (pow.f64 x 3) 27) (pow.f64 (+.f64 2 (.f64 x -3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 6 x) (.f64 (.f64 x -3) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 6 x) (.f64 (.f64 x 3) (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x 3) (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 (+.f64 4 (.f64 (.f64 x x) 9)) (.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x 3) (-.f64 4 (.f64 (.f64 x x) 9))) (+.f64 2 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (pow.f64 x 3) 27) (pow.f64 (+.f64 2 (.f64 x -3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (.f64 (.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (.f64 3 (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 6 (.f64 (.f64 x -3) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) 3) (+.f64 (+.f64 4 (.f64 (.f64 x x) 9)) (.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 (.f64 x x) 9)) 3) (+.f64 2 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 (+.f64 4 (.f64 (.f64 x x) 9)) (.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 4 (.f64 (.f64 x x) 9))) (+.f64 2 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (+.f64 2 (.f64 x -3)) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 6 (.f64 (.f64 x -3) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (.f64 (.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (.f64 (.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (.f64 (*.f64 x -3) 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) (cbrt.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))) (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4) (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 2))) (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 2)) 1/2) (pow.f64 (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x)))))))))

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

942×	`associate-/l*_binary64`
478×	`fma-neg_binary64`
432×	`fma-def_binary64`
383×	`associate-*l/_binary64`
283×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	884
1	258	511
2	958	446
3	3312	434

Stop Event

1×	node limit

Counts

147 → 127

Calls

Call 1

Inputs
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 4) x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (/.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 4) x)))))))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (.f64 -2 (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 2)) (+.f64 (.f64 -2 (.f64 (pow.f64 (sqrt.f64 -3) 2) x)) (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 4)) (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 4)))) x)) (+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 2)) (+.f64 (.f64 -2 (.f64 (pow.f64 (sqrt.f64 -3) 2) x)) (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 2)))))))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 3) (.f64 (pow.f64 (sqrt.f64 -3) 3) x))) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 3) (.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 3) (.f64 (pow.f64 (sqrt.f64 -3) 3) x))) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)))))
(.f64 -1 (.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x)))
(+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (.f64 -1 (.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x))))
(+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))) (.f64 1/2 (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 (sqrt.f64 3) 3) x)))))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 -3) (.f64 (pow.f64 (sqrt.f64 3) 5) (pow.f64 x 2)))) (+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))) (.f64 1/2 (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 (sqrt.f64 3) 3) x))))))

Outputs
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (*.f64 x x))
(.f64 x (.f64 x -9))
(.f64 (.f64 x x) -9)
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 4) x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (/.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 4) x)))))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (*.f64 x x))
(.f64 x (.f64 x -9))
(.f64 (.f64 x x) -9)
(+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (.f64 -2 (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 2)) (+.f64 (.f64 -2 (.f64 (pow.f64 (sqrt.f64 -3) 2) x)) (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 2))))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 4)) (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 4)))) x)) (+.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 2)) (+.f64 (.f64 -2 (.f64 (pow.f64 (sqrt.f64 -3) 2) x)) (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -3) 2) (pow.f64 (sqrt.f64 3) 2)))))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (*.f64 x x))
(.f64 x (.f64 x -9))
(.f64 (.f64 x x) -9)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (*.f64 x x))
(.f64 x (.f64 x -9))
(.f64 (.f64 x x) -9)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 x x)))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))
(.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 3) x))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)))
(+.f64 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)) (/.f64 (sqrt.f64 3) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x) (/.f64 (sqrt.f64 3) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) (sqrt.f64 -3)))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 3) (.f64 (pow.f64 (sqrt.f64 -3) 3) x))) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (fma.f64 -1/2 (/.f64 (sqrt.f64 3) (.f64 x (pow.f64 (sqrt.f64 -3) 3))) (.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x))))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (fma.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x) (.f64 -1/2 (/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (.f64 -3 x))))))
(fma.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x) (fma.f64 (/.f64 1/6 (sqrt.f64 -3)) (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x) (.f64 (+.f64 (/.f64 -1/2 (*.f64 -3 x)) 1) (/.f64 (sqrt.f64 3) (sqrt.f64 -3))))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 3) (.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 3) (.f64 (pow.f64 (sqrt.f64 -3) 3) x))) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)))))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 (sqrt.f64 3) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 -1/2 (/.f64 (sqrt.f64 3) (.f64 x (pow.f64 (sqrt.f64 -3) 3))) (.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x)))))
(+.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 (sqrt.f64 3) (.f64 x (.f64 x (pow.f64 (sqrt.f64 -3) 5)))) (fma.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x) (.f64 -1/2 (/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (.f64 -3 x)))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 3) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x) (fma.f64 (/.f64 1/6 (sqrt.f64 -3)) (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) (sqrt.f64 -3)))))
(+.f64 (fma.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x) (/.f64 (sqrt.f64 3) (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 3) x) (+.f64 (/.f64 1/6 (sqrt.f64 -3)) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 -3) 5))))))
(.f64 -1 (.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x)))
(neg.f64 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)))
(.f64 (sqrt.f64 3) (neg.f64 (.f64 (sqrt.f64 -3) x)))
(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (neg.f64 x)))
(+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (.f64 -1 (.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))) (/.f64 (sqrt.f64 -3) (sqrt.f64 3)))
(-.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)))
(-.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 3) x)))
(+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))) (.f64 1/2 (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 (sqrt.f64 3) 3) x)))))
(+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (fma.f64 -1 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)) (/.f64 (.f64 1/2 (sqrt.f64 -3)) (.f64 x (pow.f64 (sqrt.f64 3) 3)))))
(+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 3) (.f64 3 x)))) (.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x))))
(-.f64 (fma.f64 (/.f64 1/6 (sqrt.f64 3)) (/.f64 (sqrt.f64 -3) x) (/.f64 (sqrt.f64 -3) (sqrt.f64 3))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 3) x)))
(-.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 3 x)) 1) (/.f64 (sqrt.f64 -3) (sqrt.f64 3))) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 -3) (.f64 (pow.f64 (sqrt.f64 3) 5) (pow.f64 x 2)))) (+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))) (.f64 1/2 (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 (sqrt.f64 3) 3) x))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 -3) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 3) 5))) (+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (fma.f64 -1 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x)) (/.f64 (.f64 1/2 (sqrt.f64 -3)) (.f64 x (pow.f64 (sqrt.f64 3) 3))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 -3) (.f64 x (.f64 x (pow.f64 (sqrt.f64 3) 5)))) (+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 3) (.f64 3 x)))) (.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 -3) x)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 -3) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 3) 5))) (-.f64 (fma.f64 (/.f64 1/6 (sqrt.f64 3)) (/.f64 (sqrt.f64 -3) x) (/.f64 (sqrt.f64 -3) (sqrt.f64 3))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 3) x))))
(+.f64 (/.f64 (sqrt.f64 -3) (sqrt.f64 3)) (-.f64 (.f64 (/.f64 (sqrt.f64 -3) x) (+.f64 (/.f64 1/6 (sqrt.f64 3)) (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 3) 5))))) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) x))))

eval585.0ms (6.8%)

Compiler: Compiled 16558 to 13014 computations (21.4% saved)

prune89.0ms (1%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	535	11	546
Fresh	6	5	11
Picked	1	0	1
Done	2	3	5
Total	544	19	563

Error

Counts

563 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	32.3b	(.f64 (.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) (sqrt.f64 x)) (sqrt.f64 x))
	39.7b	(.f64 (.f64 x x) -9)
▶	0.3b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
✓	22.2b	(*.f64 x 6)
	42.5b	(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
▶	39.7b	(.f64 (.f64 x -9) x)
	10.2b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
	10.7b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
✓	0.3b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	42.5b	(.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4) (.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4) (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x)))))
	43.2b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
▶	13.8b	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
	39.7b	(.f64 (.f64 3 (*.f64 x -3)) x)
	42.6b	(.f64 (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))) (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x)))))
	11.0b	(.f64 (.f64 (.f64 x 3) (sqrt.f64 (+.f64 2 (.f64 x -3)))) (sqrt.f64 (+.f64 2 (*.f64 x -3))))
	0.3b	(.f64 (/.f64 3 (/.f64 1 (+.f64 2 (.f64 -3 x)))) x)
✓	0.4b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
▶	11.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
▶	0.4b	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)

Compiler

Compiled 522 to 421 computations (19.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 x -3))
✓	0.1b	(.f64 x (+.f64 2 (.f64 x -3)))
✓	0.1b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
0.0ms	x	@	-inf	(.f64 x (+.f64 2 (.f64 x -3)))
0.0ms	x	@	inf	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
0.0ms	x	@	-inf	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
0.0ms	x	@	inf	(.f64 x (+.f64 2 (.f64 x -3)))

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`pow1_binary64`
913×	`add-log-exp_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	199	24
2	2505	24

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
(.f64 x (+.f64 2 (.f64 x -3)))
(+.f64 2 (*.f64 x -3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) 3) (*.f64 (*.f64 -3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x 2)) (*.f64 3 (*.f64 -3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 (fma.f64 x -3 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 -3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (*.f64 x x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 -3 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -3 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 -3 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 -3 (*.f64 x x)) (*.f64 -3 (*.f64 x x))) (*.f64 (*.f64 x 2) (*.f64 -3 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 -3 (*.f64 x x)) (*.f64 -3 (*.f64 x x)))) (-.f64 (*.f64 x 2) (*.f64 -3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -27)) x) (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) x) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) -27))) (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 9 (*.f64 x x)))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -3 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -3 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -3 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -3 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -3 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 -3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 -3 (*.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -3 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 2 (*.f64 3 x))) (/.f64 (*.f64 9 (*.f64 x x)) (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3 2)) (pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 2) (cbrt.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3 2)) (sqrt.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -27)) (/.f64 1 (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (/.f64 1 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))) (+.f64 8 (*.f64 (pow.f64 x 3) -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 3 x)) (-.f64 4 (*.f64 9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -27)) (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -27)) (+.f64 (*.f64 9 (*.f64 x x)) (-.f64 4 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -27))) (neg.f64 (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (*.f64 9 (*.f64 x x)))) (neg.f64 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (*.f64 x x)) 4) (-.f64 (*.f64 x -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (cbrt.f64 (*.f64 x -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -3)) (sqrt.f64 (*.f64 x -3)) 2)))))

simplify213.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
633×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	288
1	31	288
2	51	252
3	102	234
4	269	234
5	806	234
6	1244	234
7	1708	234
8	1816	234
9	1951	234
10	2123	234
11	2366	234
12	2679	234
13	3049	234
14	3505	234
15	4088	234
16	4796	234
17	5654	234
18	6078	234
19	6392	234
20	6700	234
21	6778	234
22	6812	234

Stop Event

1×	node limit

Counts

108 → 88

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 -3 (pow.f64 x 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 -3 (pow.f64 x 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
2
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(fma.f64 2 x (.f64 (.f64 x x) -3))
(fma.f64 x 2 (.f64 (.f64 x x) -3))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(fma.f64 2 x (.f64 (.f64 x x) -3))
(fma.f64 x 2 (.f64 (.f64 x x) -3))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(fma.f64 2 x (.f64 (.f64 x x) -3))
(fma.f64 x 2 (.f64 (.f64 x x) -3))
(*.f64 x (fma.f64 x -3 2))
(*.f64 -3 (pow.f64 x 2))
(.f64 (.f64 x x) -3)
(.f64 x (.f64 x -3))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(fma.f64 2 x (.f64 (.f64 x x) -3))
(fma.f64 x 2 (.f64 (.f64 x x) -3))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(fma.f64 2 x (.f64 (.f64 x x) -3))
(fma.f64 x 2 (.f64 (.f64 x x) -3))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(fma.f64 2 x (.f64 (.f64 x x) -3))
(fma.f64 x 2 (.f64 (.f64 x x) -3))
(*.f64 x (fma.f64 x -3 2))
(*.f64 -3 (pow.f64 x 2))
(.f64 (.f64 x x) -3)
(.f64 x (.f64 x -3))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(fma.f64 2 x (.f64 (.f64 x x) -3))
(fma.f64 x 2 (.f64 (.f64 x x) -3))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(fma.f64 2 x (.f64 (.f64 x x) -3))
(fma.f64 x 2 (.f64 (.f64 x x) -3))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(fma.f64 2 x (.f64 (.f64 x x) -3))
(fma.f64 x 2 (.f64 (.f64 x x) -3))
(*.f64 x (fma.f64 x -3 2))
2
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x -9) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (.f64 x -9) x)
1.0ms	x	@	0	(.f64 (.f64 x -9) x)
0.0ms	x	@	-inf	(.f64 (.f64 x -9) x)

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
432×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
414×	`add-log-exp_binary64`
414×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1135	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x -9) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x -9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -9))))))))

simplify179.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

Inputs
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))

Outputs
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (.f64 x x))))))
✓	0.1b	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
✓	0.1b	(/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x))))
	0.2b	(.f64 9 (.f64 x x))

Compiler

Compiled 94 to 66 computations (29.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x))))
1.0ms	x	@	0	(/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x))))
0.0ms	x	@	inf	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
0.0ms	x	@	0	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)

rewrite110.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`log-prod_binary64`
461×	`prod-diff_binary64`
274×	`fma-def_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	356	33
2	4633	33

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

(/.f64 (+.f64 2 (*.f64 3 x)) (-.f64 4 (*.f64 9 (*.f64 x x))))

(*.f64 (*.f64 3 (/.f64 1 (/.f64 (+.f64 2 (*.f64 3 x)) (-.f64 4 (*.f64 9 (*.f64 x x)))))) x)

(*.f64 3 (/.f64 1 (/.f64 (+.f64 2 (*.f64 3 x)) (-.f64 4 (*.f64 9 (*.f64 x x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 2 (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x 2) (/.f64 1 (fma.f64 (*.f64 x x) -9 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x 2) 2)) (*.f64 (cbrt.f64 (fma.f64 3 x 2)) (/.f64 1 (fma.f64 (*.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 -3 x)))) (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x 2)) (*.f64 (sqrt.f64 (fma.f64 3 x 2)) (/.f64 1 (fma.f64 (*.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 3 x 2)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (*.f64 x x) -9 4)) (fma.f64 3 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x 2) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 3 x 2)) (fma.f64 (*.f64 x x) -9 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 3 x 2)) 1) (/.f64 (sqrt.f64 (fma.f64 3 x 2)) (fma.f64 (*.f64 x x) -9 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) 2)) (/.f64 (fma.f64 3 x 2) (cbrt.f64 (fma.f64 (*.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x 2) 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 3 x 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) 2)) (/.f64 (sqrt.f64 (fma.f64 3 x 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 x x) -9 4))) (/.f64 (fma.f64 3 x 2) (sqrt.f64 (fma.f64 (*.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x 2) 2)) (sqrt.f64 (fma.f64 (*.f64 x x) -9 4))) (/.f64 (cbrt.f64 (fma.f64 3 x 2)) (sqrt.f64 (fma.f64 (*.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 3 x 2) (-.f64 64 (*.f64 (pow.f64 (*.f64 x x) 3) 729))) (+.f64 16 (fma.f64 (pow.f64 x 4) 81 (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 3 x 2) (-.f64 16 (*.f64 (pow.f64 x 4) 81))) (fma.f64 x (*.f64 x 9) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (*.f64 -3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 -3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 3 x 2) (neg.f64 (fma.f64 (*.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 -3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 3 x 2) 3) (pow.f64 (fma.f64 (*.f64 x x) -9 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 (*.f64 -3 x)))) 1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (+.f64 2 (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (+.f64 2 (*.f64 -3 x)))) (cbrt.f64 (pow.f64 (exp.f64 3) (+.f64 2 (*.f64 -3 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (+.f64 2 (*.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (+.f64 2 (*.f64 -3 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (+.f64 2 (*.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (+.f64 2 (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (+.f64 2 (*.f64 -3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (/.f64 -1 (+.f64 2 (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3 (fma.f64 3 x 2)) (/.f64 1 (fma.f64 (*.f64 x x) -9 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 -3 x))))) (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (+.f64 2 (*.f64 -3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (+.f64 2 (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (+.f64 2 (*.f64 -3 x)))) 1))))))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-neg_binary64`
576×	`times-frac_binary64`
475×	`fma-def_binary64`
403×	`cancel-sign-sub-inv_binary64`
369×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	366
1	129	348
2	324	321
3	1031	315
4	3068	315
5	7847	315

Stop Event

1×	node limit

Counts

115 → 105

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 3/4 x))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 3/4 x)))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 (.f64 27/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 3/4 x))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))

Outputs
1/2
(+.f64 1/2 (*.f64 3/4 x))
(fma.f64 3/4 x 1/2)
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 3/4 x)))
(fma.f64 9/8 (.f64 x x) (+.f64 1/2 (.f64 3/4 x)))
(fma.f64 9/8 (*.f64 x x) (fma.f64 3/4 x 1/2))
(fma.f64 3/4 x (fma.f64 x (*.f64 x 9/8) 1/2))
(fma.f64 x (fma.f64 x 9/8 3/4) 1/2)
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 (.f64 27/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 3/4 x))))
(fma.f64 9/8 (.f64 x x) (fma.f64 27/16 (pow.f64 x 3) (+.f64 1/2 (.f64 3/4 x))))
(fma.f64 9/8 (*.f64 x x) (fma.f64 27/16 (pow.f64 x 3) (fma.f64 3/4 x 1/2)))
(fma.f64 x (*.f64 x 9/8) (fma.f64 3/4 x (fma.f64 27/16 (pow.f64 x 3) 1/2)))
(fma.f64 3/4 x (fma.f64 x (*.f64 x (fma.f64 x 27/16 9/8)) 1/2))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (/.f64 1/3 x)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x))
(-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/27 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/27 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 -4/27 (pow.f64 x 3)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (+.f64 (/.f64 -1/3 x) (/.f64 -4/27 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x)) (+.f64 (/.f64 -4/27 (pow.f64 x 3)) (/.f64 -8/81 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 -1/3 x) (/.f64 -4/27 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 2/9 x) x) (/.f64 8/81 (pow.f64 x 4))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (/.f64 1/3 x)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x))
(-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/27 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/27 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 -4/27 (pow.f64 x 3)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (+.f64 (/.f64 -1/3 x) (/.f64 -4/27 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x)) (+.f64 (/.f64 -4/27 (pow.f64 x 3)) (/.f64 -8/81 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 -1/3 x) (/.f64 -4/27 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 2/9 x) x) (/.f64 8/81 (pow.f64 x 4))))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x))))
✓	0.1b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
	0.1b	(.f64 3 (-.f64 2 (.f64 3 x)))
✓	0.8b	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)

Compiler

Compiled 49 to 41 computations (16.3% saved)

series12.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)
1.0ms	x	@	0	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
1.0ms	x	@	-inf	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`pow1_binary64`
881×	`add-log-exp_binary64`
880×	`log1p-expm1-u_binary64`
880×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	222	35
2	2444	35

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)
(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
(sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 (*.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 3 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (+.f64 2 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 x -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))) (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 6 (*.f64 3 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 2) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))) (pow.f64 (cbrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))) (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))) 2) (cbrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))) 1/4) (*.f64 (pow.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))) 1/4) (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))) (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))) (pow.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))) 1/4)) (pow.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 3) 2) (+.f64 2 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 2)) (cbrt.f64 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 (+.f64 2 (*.f64 x -3)))) (sqrt.f64 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))) (cbrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))) (cbrt.f64 (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))) (sqrt.f64 3)) (sqrt.f64 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) 3) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 8 (*.f64 27 (pow.f64 x 3)))) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 4 (*.f64 9 (*.f64 x x)))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (+.f64 2 (*.f64 x -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (*.f64 3 (*.f64 x -3)))))))))

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

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

967×	`fma-def_binary64`
659×	`associate-/r*_binary64`
392×	`unswap-sqr_binary64`
382×	`associate-*l/_binary64`
333×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	511
1	170	261
2	615	234
3	2173	212
4	6731	208

Stop Event

1×	node limit

Counts

89 → 88

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2)) (.f64 -3 (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2)) (+.f64 (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 -27/8 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 4))) (.f64 27/8 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2)) (+.f64 (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 2))) (*.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 2)))))
(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(*.f64 (sqrt.f64 2) (sqrt.f64 3))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (sqrt.f64 3) x) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 3)))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (sqrt.f64 3) x) (sqrt.f64 2))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (sqrt.f64 3) (pow.f64 x 2)) (pow.f64 (sqrt.f64 2) 3))) (*.f64 (sqrt.f64 2) (sqrt.f64 3))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (sqrt.f64 3) x) (sqrt.f64 2))) (+.f64 (.f64 -27/16 (/.f64 (.f64 (sqrt.f64 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (sqrt.f64 3) (pow.f64 x 2)) (pow.f64 (sqrt.f64 2) 3))) (*.f64 (sqrt.f64 2) (sqrt.f64 3)))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2))
6
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2)) (.f64 -3 (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2)) (+.f64 (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 2))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (.f64 (+.f64 (.f64 -27/8 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 4))) (.f64 27/8 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2)) (+.f64 (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 2))) (*.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 2)))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 3) 2) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
(*.f64 6 x)
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)))
(.f64 (.f64 x -9) x)
(.f64 x (.f64 x -9))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)))
(.f64 (.f64 x -9) x)
(.f64 x (.f64 x -9))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x)) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x) (.f64 -3 (.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (sqrt.f64 2) (sqrt.f64 3))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (sqrt.f64 3) x) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 3)))
(fma.f64 -3/2 (/.f64 (sqrt.f64 3) (/.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (sqrt.f64 3)))
(fma.f64 (sqrt.f64 2) (sqrt.f64 3) (.f64 -3/2 (.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 2)) x)))
(fma.f64 -3/2 (.f64 x (/.f64 (sqrt.f64 3) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (sqrt.f64 3)))
(fma.f64 (sqrt.f64 2) (sqrt.f64 3) (.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 2)) (.f64 x -3/2)))
(*.f64 (sqrt.f64 3) (+.f64 (sqrt.f64 2) (/.f64 -3/2 (/.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (sqrt.f64 3) x) (sqrt.f64 2))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (sqrt.f64 3) (pow.f64 x 2)) (pow.f64 (sqrt.f64 2) 3))) (*.f64 (sqrt.f64 2) (sqrt.f64 3))))
(fma.f64 -3/2 (/.f64 (sqrt.f64 3) (/.f64 (sqrt.f64 2) x)) (fma.f64 -9/8 (/.f64 (.f64 (sqrt.f64 3) (.f64 x x)) (pow.f64 (sqrt.f64 2) 3)) (*.f64 (sqrt.f64 2) (sqrt.f64 3))))
(fma.f64 -3/2 (.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 2)) x) (fma.f64 (sqrt.f64 2) (sqrt.f64 3) (.f64 -9/16 (/.f64 (.f64 (sqrt.f64 3) (.f64 x x)) (sqrt.f64 2)))))
(fma.f64 -9/16 (/.f64 (sqrt.f64 3) (/.f64 (sqrt.f64 2) (.f64 x x))) (fma.f64 -3/2 (.f64 x (/.f64 (sqrt.f64 3) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 3))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 3) (.f64 (.f64 (sqrt.f64 3) (/.f64 x (sqrt.f64 2))) (+.f64 -3/2 (*.f64 -9/16 x))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (sqrt.f64 3) x) (sqrt.f64 2))) (+.f64 (.f64 -27/16 (/.f64 (.f64 (sqrt.f64 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (sqrt.f64 3) (pow.f64 x 2)) (pow.f64 (sqrt.f64 2) 3))) (*.f64 (sqrt.f64 2) (sqrt.f64 3)))))
(fma.f64 -3/2 (/.f64 (sqrt.f64 3) (/.f64 (sqrt.f64 2) x)) (fma.f64 -27/16 (/.f64 (.f64 (sqrt.f64 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -9/8 (/.f64 (.f64 (sqrt.f64 3) (.f64 x x)) (pow.f64 (sqrt.f64 2) 3)) (.f64 (sqrt.f64 2) (sqrt.f64 3)))))
(fma.f64 -3/2 (.f64 (/.f64 (sqrt.f64 3) (sqrt.f64 2)) x) (fma.f64 -27/16 (/.f64 (sqrt.f64 3) (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 3))) (fma.f64 (sqrt.f64 2) (sqrt.f64 3) (.f64 -9/16 (/.f64 (.f64 (sqrt.f64 3) (.f64 x x)) (sqrt.f64 2))))))
(fma.f64 -3/2 (.f64 x (/.f64 (sqrt.f64 3) (sqrt.f64 2))) (fma.f64 -27/16 (.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 (sqrt.f64 2) (sqrt.f64 3) (.f64 -9/16 (/.f64 (sqrt.f64 3) (/.f64 (sqrt.f64 2) (.f64 x x)))))))
(fma.f64 -27/16 (.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 (sqrt.f64 2) (sqrt.f64 3) (.f64 (.f64 (sqrt.f64 3) (/.f64 x (sqrt.f64 2))) (+.f64 -3/2 (.f64 -9/16 x)))))
(+.f64 (.f64 (.f64 (sqrt.f64 3) (/.f64 x (sqrt.f64 2))) (+.f64 -3/2 (.f64 -9/16 x))) (.f64 (sqrt.f64 3) (+.f64 (sqrt.f64 2) (/.f64 -27/16 (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 3))))))

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x)
✓	0.2b	(*.f64 (pow.f64 x 3) -729)
✓	0.3b	(pow.f64 (*.f64 -9 x) 2)
✓	12.8b	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))

Compiler

Compiled 81 to 65 computations (19.8% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
1.0ms	x	@	-inf	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
1.0ms	x	@	-inf	(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x)
1.0ms	x	@	inf	(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x)

rewrite102.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`fma-def_binary64`
340×	`expm1-udef_binary64`
340×	`log1p-udef_binary64`
296×	`fma-neg_binary64`
260×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	58
1	439	52
2	5629	50

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
(pow.f64 (*.f64 -9 x) 2)
(*.f64 (pow.f64 x 3) -729)
(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (fma.f64 (pow.f64 x 3) -729 216) (/.f64 1 (fma.f64 81 (.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -729 216) (/.f64 1 (/.f64 (fma.f64 81 (.f64 x x) (fma.f64 x 54 36)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -729 216) (.f64 x (/.f64 1 (fma.f64 81 (.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216)) (/.f64 1 (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))) (/.f64 1 (fma.f64 81 (.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x)) 2) (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))) (/.f64 1 (fma.f64 81 (.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x)) (sqrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 (fma.f64 (pow.f64 x 3) -729 216))) (/.f64 1 (neg.f64 (fma.f64 81 (.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) (.f64 x (fma.f64 (pow.f64 x 3) -729 216)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) 1) (/.f64 x (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) -729))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) -729) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -9) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -729) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -387420489 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 531441 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -729) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 3) -729))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -387420489 (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x 3) -729)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 3) -729)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -729)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -729)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 216 x) (.f64 (.f64 (pow.f64 x 3) -729) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 x 3) -729) x) (.f64 216 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 216) (.f64 x (.f64 (pow.f64 x 3) -729)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 (pow.f64 x 3) -729)) (.f64 x 216))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 -387420489 (pow.f64 (pow.f64 x 3) 3) 10077696) x) (fma.f64 (.f64 (pow.f64 x 3) -729) (fma.f64 (pow.f64 x 3) -729 -216) 46656))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 46656 (.f64 531441 (pow.f64 x 6))) x) (+.f64 216 (.f64 729 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 -387420489 (pow.f64 (pow.f64 x 3) 3) 10077696)) (fma.f64 (.f64 (pow.f64 x 3) -729) (fma.f64 (pow.f64 x 3) -729 -216) 46656))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 46656 (.f64 531441 (pow.f64 x 6)))) (+.f64 216 (.f64 729 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 3) -729 216)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 x 3) -729 216) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -729 216) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 216 x (.f64 (.f64 (pow.f64 x 3) -729) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 216 (.f64 x (.f64 (pow.f64 x 3) -729)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 (pow.f64 x 3) -729) (.f64 x 216))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) -729) x (*.f64 216 x))))))

simplify197.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

957×	`sqr-pow_binary64`
803×	`unswap-sqr_binary64`
635×	`cube-prod_binary64`
544×	`fabs-mul_binary64`
385×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	402
1	45	402
2	89	393
3	209	375
4	674	375
5	1256	375
6	2659	375
7	2778	375
8	2952	375
9	3164	375
10	3449	375
11	3821	375
12	4268	375
13	4819	375
14	5507	375
15	5968	375
16	6277	375
17	6547	375
18	6759	375
19	6953	375
20	7734	375

Stop Event

1×	node limit

Counts

157 → 122

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 216 x)
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(*.f64 -729 (pow.f64 x 4))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(*.f64 -729 (pow.f64 x 4))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 -729 (pow.f64 x 3))
(*.f64 216 x)
(*.f64 x 216)
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 x 216))
(fma.f64 x 216 (*.f64 -729 (pow.f64 x 4)))
(*.f64 x (fma.f64 -729 (pow.f64 x 3) 216))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 x 216))
(fma.f64 x 216 (*.f64 -729 (pow.f64 x 4)))
(*.f64 x (fma.f64 -729 (pow.f64 x 3) 216))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 x 216))
(fma.f64 x 216 (*.f64 -729 (pow.f64 x 4)))
(*.f64 x (fma.f64 -729 (pow.f64 x 3) 216))
(*.f64 -729 (pow.f64 x 4))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 x 216))
(fma.f64 x 216 (*.f64 -729 (pow.f64 x 4)))
(*.f64 x (fma.f64 -729 (pow.f64 x 3) 216))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 x 216))
(fma.f64 x 216 (*.f64 -729 (pow.f64 x 4)))
(*.f64 x (fma.f64 -729 (pow.f64 x 3) 216))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 x 216))
(fma.f64 x 216 (*.f64 -729 (pow.f64 x 4)))
(*.f64 x (fma.f64 -729 (pow.f64 x 3) 216))
(*.f64 -729 (pow.f64 x 4))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 x 216))
(fma.f64 x 216 (*.f64 -729 (pow.f64 x 4)))
(*.f64 x (fma.f64 -729 (pow.f64 x 3) 216))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 x 216))
(fma.f64 x 216 (*.f64 -729 (pow.f64 x 4)))
(*.f64 x (fma.f64 -729 (pow.f64 x 3) 216))
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 x 216))
(fma.f64 x 216 (*.f64 -729 (pow.f64 x 4)))
(*.f64 x (fma.f64 -729 (pow.f64 x 3) 216))

eval315.0ms (3.7%)

Compiler: Compiled 8101 to 6442 computations (20.5% saved)

prune126.0ms (1.5%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	449	9	458
Fresh	7	4	11
Picked	1	0	1
Done	2	5	7
Total	459	18	477

Error

Counts

477 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	32.3b	(.f64 (.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) (sqrt.f64 x)) (sqrt.f64 x))
▶	39.7b	(.f64 (.f64 x x) -9)
▶	0.4b	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 -3 x))))
	39.7b	(.f64 (.f64 x (*.f64 x -3)) 3)
✓	0.3b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
✓	22.2b	(*.f64 x 6)
	42.5b	(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
	50.6b	(sqrt.f64 (.f64 9 (pow.f64 (.f64 x (fma.f64 x -3 2)) 2)))
✓	39.7b	(.f64 (.f64 x -9) x)
▶	10.2b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
✓	0.3b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	17.3b	(/.f64 (/.f64 (.f64 (-.f64 46656 (.f64 531441 (pow.f64 x 6))) x) (+.f64 216 (.f64 729 (pow.f64 x 3)))) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))
▶	43.2b	(cbrt.f64 (pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3))
	39.8b	(.f64 (.f64 3 (/.f64 1 (/.f64 -1/3 x))) x)
	10.7b	(.f64 (cbrt.f64 (pow.f64 (+.f64 6 (.f64 3 (*.f64 x -3))) 3)) x)
	22.6b	(*.f64 (pow.f64 (sqrt.f64 6) 2) x)
▶	22.1b	(/.f64 (.f64 x 216) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))
✓	0.4b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)

Compiler

Compiled 372 to 299 computations (19.6% saved)

localize185.0ms (2.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 -3 x))
✓	0.1b	(/.f64 1 (+.f64 2 (*.f64 -3 x)))
✓	0.1b	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 -3 x))))

Compiler

Compiled 35 to 28 computations (20% saved)

series3.0ms (0%)

Counts

3 → 30

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 -3 x))))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 2 (*.f64 -3 x)))
0.0ms	x	@	inf	(/.f64 1 (+.f64 2 (*.f64 -3 x)))
0.0ms	x	@	inf	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 -3 x))))
0.0ms	x	@	0	(/.f64 1 (+.f64 2 (*.f64 -3 x)))

rewrite108.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`log-prod_binary64`
372×	`exp-prod_binary64`
249×	`pow2_binary64`
237×	`pow-prod-down_binary64`
219×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	240	24
2	3191	16

Stop Event

1×	node limit

Counts

3 → 274

Calls

Call 1

Inputs
(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 -3 x))))
(/.f64 1 (+.f64 2 (*.f64 -3 x)))
(+.f64 2 (*.f64 -3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 0) (fma.f64 0 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 0) (fma.f64 -2 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 0) (fma.f64 0 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 0) (fma.f64 3 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3 (*.f64 x x) (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 x x) (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -3 (*.f64 x x) (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (*.f64 x x) (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) 9 (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) 3 (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) -3 (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 (*.f64 x -6))) (fma.f64 x -6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3 (*.f64 x x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 x x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -3 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 2 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -2))) (cbrt.f64 (pow.f64 (+.f64 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (/.f64 -1 (cbrt.f64 (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (+.f64 2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4 (*.f64 x x))) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) -2) (/.f64 -1 (cbrt.f64 (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 2 x))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 2 x)) (/.f64 (*.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (cbrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 1 (+.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (+.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (*.f64 x x)) (+.f64 8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 x) (+.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (/.f64 -1 (cbrt.f64 (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 x 3)) (+.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 x 3)) (fma.f64 x x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4 (*.f64 x x)) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 x 3))) (neg.f64 (+.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 4 (*.f64 x x))) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -2))) -2) (/.f64 -1 (cbrt.f64 (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (pow.f64 x 3)) (+.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -4) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (+.f64 2 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 4 (*.f64 x x)) (+.f64 8 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 x) (+.f64 4 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2)) (cbrt.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2 x)))) (sqrt.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (sqrt.f64 x)) (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) 2)))))

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-neg_binary64`
576×	`times-frac_binary64`
493×	`fma-def_binary64`
402×	`cancel-sign-sub-inv_binary64`
376×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	336
1	130	318
2	327	309
3	1054	285
4	3123	285
5	7947	285

Stop Event

1×	node limit

Counts

304 → 297

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
1/2
(+.f64 1/2 (*.f64 3/4 x))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 3/4 x)))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 (.f64 27/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 3/4 x))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
2
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(*.f64 -3 x)
(*.f64 -3 x)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
1/2
(+.f64 1/2 (*.f64 3/4 x))
(+.f64 1/2 (*.f64 x 3/4))
(fma.f64 x 3/4 1/2)
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 3/4 x)))
(fma.f64 9/8 (.f64 x x) (+.f64 1/2 (.f64 x 3/4)))
(fma.f64 (*.f64 x x) 9/8 (fma.f64 x 3/4 1/2))
(fma.f64 x 3/4 (fma.f64 (*.f64 x x) 9/8 1/2))
(fma.f64 x (fma.f64 x 9/8 3/4) 1/2)
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 (.f64 27/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 3/4 x))))
(fma.f64 9/8 (.f64 x x) (fma.f64 27/16 (pow.f64 x 3) (+.f64 1/2 (.f64 x 3/4))))
(fma.f64 (*.f64 x x) 9/8 (fma.f64 27/16 (pow.f64 x 3) (fma.f64 x 3/4 1/2)))
(fma.f64 x (*.f64 x 9/8) (fma.f64 27/16 (pow.f64 x 3) (fma.f64 x 3/4 1/2)))
(fma.f64 x 3/4 (fma.f64 (*.f64 x x) (fma.f64 x 27/16 9/8) 1/2))
(fma.f64 x (fma.f64 x 9/8 3/4) (fma.f64 27/16 (pow.f64 x 3) 1/2))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (/.f64 1/3 x)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x))
(-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/27 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/27 (pow.f64 x 3)))
(+.f64 (/.f64 -1/3 x) (+.f64 (/.f64 -4/27 (pow.f64 x 3)) (/.f64 -2/9 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 -4/27 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 -4/27 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (+.f64 (/.f64 -4/27 (pow.f64 x 3)) (/.f64 -8/81 (pow.f64 x 4))))
(+.f64 (/.f64 -4/27 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 8/81 (pow.f64 x 4))))
(+.f64 (/.f64 -1/3 x) (+.f64 (/.f64 -4/27 (pow.f64 x 3)) (-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 8/81 (pow.f64 x 4)))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (/.f64 1/3 x)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x))
(-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/27 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/27 (pow.f64 x 3)))
(+.f64 (/.f64 -1/3 x) (+.f64 (/.f64 -4/27 (pow.f64 x 3)) (/.f64 -2/9 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 -4/27 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 -4/27 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (+.f64 (/.f64 -4/27 (pow.f64 x 3)) (/.f64 -8/81 (pow.f64 x 4))))
(+.f64 (/.f64 -4/27 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 8/81 (pow.f64 x 4))))
(+.f64 (/.f64 -1/3 x) (+.f64 (/.f64 -4/27 (pow.f64 x 3)) (-.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 8/81 (pow.f64 x 4)))))
2
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(*.f64 -3 x)
(*.f64 x -3)
(*.f64 -3 x)
(*.f64 x -3)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) -9)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x x) -9)
0.0ms	x	@	inf	(.f64 (.f64 x x) -9)
0.0ms	x	@	-inf	(.f64 (.f64 x x) -9)

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`pow1_binary64`
420×	`add-sqr-sqrt_binary64`
410×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 (.f64 x x) -9)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -10)))))))

simplify177.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))

Outputs
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 36 (*.f64 x -54))
✓	0.0b	(+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54)))
	0.3b	(pow.f64 (*.f64 -9 x) 2)
✓	0.4b	(/.f64 (.f64 x 216) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))

Compiler

Compiled 52 to 41 computations (21.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (.f64 x 216) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))
1.0ms	x	@	0	(/.f64 (.f64 x 216) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))
0.0ms	x	@	-inf	(/.f64 (.f64 x 216) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))
0.0ms	x	@	-inf	(+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54)))
0.0ms	x	@	0	(+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54)))

rewrite174.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log-prod_binary64`
388×	`fma-def_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`
266×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	325	41
2	4225	35

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs
(/.f64 (.f64 x 216) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))
(+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54)))
(-.f64 36 (*.f64 x -54))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))) (cbrt.f64 (exp.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)) 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 216 (/.f64 1 (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 216 (*.f64 x (/.f64 1 (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 216) (/.f64 1 (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))) (pow.f64 (cbrt.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))) 2) (cbrt.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 216)) 2) (*.f64 (cbrt.f64 (*.f64 x 216)) (/.f64 1 (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))) (sqrt.f64 (*.f64 216 (/.f64 x (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 216)) (*.f64 (sqrt.f64 (*.f64 x 216)) (/.f64 1 (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -216) (/.f64 1 (neg.f64 (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))) (*.f64 x 216))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 216 (fma.f64 81 (*.f64 x x) (fma.f64 x 54 36))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 36 (*.f64 x 54))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 36 (*.f64 (*.f64 x 54) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 54) 36)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 54 36))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 54 36))) (cbrt.f64 (exp.f64 (fma.f64 x 54 36))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 54 36)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 54 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 54 36) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 54 36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 54 36)) (pow.f64 (cbrt.f64 (fma.f64 x 54 36)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 54 36)) 2) (cbrt.f64 (fma.f64 x 54 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 54 36)) (sqrt.f64 (fma.f64 x 54 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 46656 (*.f64 (pow.f64 x 3) -157464)) (/.f64 1 (fma.f64 (*.f64 x -54) (fma.f64 x -54 36) 1296)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1296 (*.f64 2916 (*.f64 x x))) (/.f64 1 (fma.f64 x -54 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x -54) (fma.f64 x -54 36) 1296) (-.f64 46656 (*.f64 (pow.f64 x 3) -157464))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -54 36) (-.f64 1296 (*.f64 2916 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 46656 (*.f64 (pow.f64 x 3) -157464)) (fma.f64 (*.f64 x -54) (fma.f64 x -54 36) 1296))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1296 (*.f64 2916 (*.f64 x x))) (fma.f64 x -54 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 46656 (*.f64 (pow.f64 x 3) -157464))) (neg.f64 (fma.f64 (*.f64 x -54) (fma.f64 x -54 36) 1296)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1296 (*.f64 2916 (*.f64 x x)))) (neg.f64 (fma.f64 x -54 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 46656 (pow.f64 (*.f64 x 54) 3)) (+.f64 1296 (-.f64 (*.f64 (*.f64 x 54) (*.f64 x 54)) (*.f64 36 (*.f64 x 54)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1296 (*.f64 (*.f64 x 54) (*.f64 x 54))) (-.f64 36 (*.f64 x 54)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 54 36) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 54 36)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 54 36)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 54 36) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x -54) (fma.f64 x -54 36) 1296) (-.f64 46656 (*.f64 (pow.f64 x 3) -157464))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -54 36) (-.f64 1296 (*.f64 2916 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 54 36) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 54 36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 54 36))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 54 36) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 54 36)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 54 36)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 54 36)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 54 36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 54 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -54 (neg.f64 x) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 54) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2916 (*.f64 x x))) (neg.f64 (cbrt.f64 (*.f64 x -54))) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -54)) (neg.f64 (sqrt.f64 (*.f64 x -54))) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -54 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x 54)) (cbrt.f64 (*.f64 x 54))) (cbrt.f64 (*.f64 x 54)) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 54)) (sqrt.f64 (*.f64 x 54)) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 54 x 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x -54) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 2916 (*.f64 x x)))) (cbrt.f64 (*.f64 x -54)) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -54))) (sqrt.f64 (*.f64 x -54)) 36)))))

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-def_binary64`
675×	`distribute-neg-frac_binary64`
654×	`associate-l_binary64`
506×	`unswap-sqr_binary64`
460×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	366
1	128	366
2	281	362
3	692	333
4	1919	333
5	6562	333

Stop Event

1×	node limit

Counts

202 → 191

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (+.f64 (.f64 -9 (pow.f64 x 2)) (*.f64 81/4 (pow.f64 x 4))))
(+.f64 (.f64 6 x) (+.f64 (.f64 -9 (pow.f64 x 2)) (+.f64 (.f64 -243/8 (pow.f64 x 5)) (.f64 81/4 (pow.f64 x 4)))))
(/.f64 8/3 x)
(-.f64 (.f64 8/3 (/.f64 1 x)) (.f64 16/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 x))) (*.f64 16/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 x))) (+.f64 (.f64 128/243 (/.f64 1 (pow.f64 x 5))) (.f64 16/9 (/.f64 1 (pow.f64 x 2)))))
(/.f64 8/3 x)
(-.f64 (.f64 8/3 (/.f64 1 x)) (.f64 16/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 x))) (*.f64 16/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 x))) (+.f64 (.f64 128/243 (/.f64 1 (pow.f64 x 5))) (.f64 16/9 (/.f64 1 (pow.f64 x 2)))))
36
(+.f64 (*.f64 54 x) 36)
(+.f64 (.f64 54 x) (+.f64 (.f64 81 (pow.f64 x 2)) 36))
(+.f64 (.f64 54 x) (+.f64 (.f64 81 (pow.f64 x 2)) 36))
(*.f64 81 (pow.f64 x 2))
(+.f64 (.f64 54 x) (.f64 81 (pow.f64 x 2)))
(+.f64 (.f64 54 x) (+.f64 36 (.f64 81 (pow.f64 x 2))))
(+.f64 (.f64 54 x) (+.f64 36 (.f64 81 (pow.f64 x 2))))
(*.f64 81 (pow.f64 x 2))
(+.f64 (.f64 54 x) (.f64 81 (pow.f64 x 2)))
(+.f64 (.f64 54 x) (+.f64 36 (.f64 81 (pow.f64 x 2))))
(+.f64 (.f64 54 x) (+.f64 36 (.f64 81 (pow.f64 x 2))))
36
(+.f64 (*.f64 54 x) 36)
(+.f64 (*.f64 54 x) 36)
(+.f64 (*.f64 54 x) 36)
(*.f64 54 x)
(+.f64 (*.f64 54 x) 36)
(+.f64 (*.f64 54 x) 36)
(+.f64 (*.f64 54 x) 36)
(*.f64 54 x)
(+.f64 (*.f64 54 x) 36)
(+.f64 (*.f64 54 x) 36)
(+.f64 (*.f64 54 x) 36)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (+.f64 (.f64 -9 (pow.f64 x 2)) (*.f64 81/4 (pow.f64 x 4))))
(fma.f64 6 x (fma.f64 -9 (.f64 x x) (.f64 81/4 (pow.f64 x 4))))
(fma.f64 81/4 (pow.f64 x 4) (.f64 x (+.f64 6 (.f64 x -9))))
(fma.f64 x (fma.f64 x -9 6) (*.f64 81/4 (pow.f64 x 4)))
(*.f64 x (fma.f64 81/4 (pow.f64 x 3) (fma.f64 x -9 6)))
(+.f64 (.f64 6 x) (+.f64 (.f64 -9 (pow.f64 x 2)) (+.f64 (.f64 -243/8 (pow.f64 x 5)) (.f64 81/4 (pow.f64 x 4)))))
(fma.f64 6 x (fma.f64 -9 (.f64 x x) (fma.f64 -243/8 (pow.f64 x 5) (.f64 81/4 (pow.f64 x 4)))))
(fma.f64 6 x (fma.f64 -9 (.f64 x x) (fma.f64 81/4 (pow.f64 x 4) (.f64 -243/8 (pow.f64 x 5)))))
(fma.f64 6 x (fma.f64 81/4 (pow.f64 x 4) (fma.f64 x (.f64 x -9) (.f64 -243/8 (pow.f64 x 5)))))
(fma.f64 x (fma.f64 x -9 6) (fma.f64 81/4 (pow.f64 x 4) (*.f64 -243/8 (pow.f64 x 5))))
(fma.f64 -243/8 (pow.f64 x 5) (*.f64 x (fma.f64 81/4 (pow.f64 x 3) (fma.f64 x -9 6))))
(/.f64 8/3 x)
(-.f64 (.f64 8/3 (/.f64 1 x)) (.f64 16/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 8/3 x) (/.f64 16/9 (*.f64 x x)))
(+.f64 (/.f64 8/3 x) (/.f64 -16/9 (*.f64 x x)))
(-.f64 (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 x))) (*.f64 16/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 64/81 (pow.f64 x 4)) (-.f64 (/.f64 8/3 x) (/.f64 16/9 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 8/3 x) (/.f64 64/81 (pow.f64 x 4))) (/.f64 -16/9 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 8/3 x) (/.f64 -16/9 (*.f64 x x))) (/.f64 64/81 (pow.f64 x 4)))
(+.f64 (/.f64 8/3 x) (+.f64 (/.f64 64/81 (pow.f64 x 4)) (/.f64 -16/9 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 8/3 x) (/.f64 16/9 (*.f64 x x))) (/.f64 64/81 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 x))) (+.f64 (.f64 128/243 (/.f64 1 (pow.f64 x 5))) (.f64 16/9 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 8/3 x) (/.f64 64/81 (pow.f64 x 4))) (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 128/243 (pow.f64 x 5))))
(+.f64 (/.f64 8/3 x) (-.f64 (/.f64 64/81 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 16/9 x) x) (/.f64 128/243 (pow.f64 x 5)))))
(+.f64 (/.f64 64/81 (pow.f64 x 4)) (+.f64 (/.f64 -16/9 (*.f64 x x)) (-.f64 (/.f64 8/3 x) (/.f64 128/243 (pow.f64 x 5)))))
(+.f64 (/.f64 -16/9 (*.f64 x x)) (+.f64 (/.f64 8/3 x) (+.f64 (/.f64 64/81 (pow.f64 x 4)) (/.f64 -128/243 (pow.f64 x 5)))))
(+.f64 (-.f64 (/.f64 8/3 x) (/.f64 16/9 (*.f64 x x))) (+.f64 (/.f64 64/81 (pow.f64 x 4)) (/.f64 -128/243 (pow.f64 x 5))))
(/.f64 8/3 x)
(-.f64 (.f64 8/3 (/.f64 1 x)) (.f64 16/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 8/3 x) (/.f64 16/9 (*.f64 x x)))
(+.f64 (/.f64 8/3 x) (/.f64 -16/9 (*.f64 x x)))
(-.f64 (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 x))) (*.f64 16/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 64/81 (pow.f64 x 4)) (-.f64 (/.f64 8/3 x) (/.f64 16/9 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 8/3 x) (/.f64 64/81 (pow.f64 x 4))) (/.f64 -16/9 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 8/3 x) (/.f64 -16/9 (*.f64 x x))) (/.f64 64/81 (pow.f64 x 4)))
(+.f64 (/.f64 8/3 x) (+.f64 (/.f64 64/81 (pow.f64 x 4)) (/.f64 -16/9 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 8/3 x) (/.f64 16/9 (*.f64 x x))) (/.f64 64/81 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 x))) (+.f64 (.f64 128/243 (/.f64 1 (pow.f64 x 5))) (.f64 16/9 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 8/3 x) (/.f64 64/81 (pow.f64 x 4))) (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 128/243 (pow.f64 x 5))))
(+.f64 (/.f64 8/3 x) (-.f64 (/.f64 64/81 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 16/9 x) x) (/.f64 128/243 (pow.f64 x 5)))))
(+.f64 (/.f64 64/81 (pow.f64 x 4)) (+.f64 (/.f64 -16/9 (*.f64 x x)) (-.f64 (/.f64 8/3 x) (/.f64 128/243 (pow.f64 x 5)))))
(+.f64 (/.f64 -16/9 (*.f64 x x)) (+.f64 (/.f64 8/3 x) (+.f64 (/.f64 64/81 (pow.f64 x 4)) (/.f64 -128/243 (pow.f64 x 5)))))
(+.f64 (-.f64 (/.f64 8/3 x) (/.f64 16/9 (*.f64 x x))) (+.f64 (/.f64 64/81 (pow.f64 x 4)) (/.f64 -128/243 (pow.f64 x 5))))
36
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)
(+.f64 (.f64 54 x) (+.f64 (.f64 81 (pow.f64 x 2)) 36))
(fma.f64 54 x (fma.f64 81 (*.f64 x x) 36))
(fma.f64 x 54 (fma.f64 (*.f64 x x) 81 36))
(fma.f64 x 54 (fma.f64 x (*.f64 x 81) 36))
(fma.f64 x (fma.f64 x 81 54) 36)
(+.f64 (.f64 54 x) (+.f64 (.f64 81 (pow.f64 x 2)) 36))
(fma.f64 54 x (fma.f64 81 (*.f64 x x) 36))
(fma.f64 x 54 (fma.f64 (*.f64 x x) 81 36))
(fma.f64 x 54 (fma.f64 x (*.f64 x 81) 36))
(fma.f64 x (fma.f64 x 81 54) 36)
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(+.f64 (.f64 54 x) (.f64 81 (pow.f64 x 2)))
(fma.f64 54 x (.f64 (.f64 x x) 81))
(fma.f64 x 54 (.f64 x (.f64 x 81)))
(.f64 x (+.f64 54 (.f64 x 81)))
(*.f64 x (fma.f64 x 81 54))
(+.f64 (.f64 54 x) (+.f64 36 (.f64 81 (pow.f64 x 2))))
(fma.f64 54 x (fma.f64 81 (*.f64 x x) 36))
(fma.f64 x 54 (fma.f64 (*.f64 x x) 81 36))
(fma.f64 x 54 (fma.f64 x (*.f64 x 81) 36))
(fma.f64 x (fma.f64 x 81 54) 36)
(+.f64 (.f64 54 x) (+.f64 36 (.f64 81 (pow.f64 x 2))))
(fma.f64 54 x (fma.f64 81 (*.f64 x x) 36))
(fma.f64 x 54 (fma.f64 (*.f64 x x) 81 36))
(fma.f64 x 54 (fma.f64 x (*.f64 x 81) 36))
(fma.f64 x (fma.f64 x 81 54) 36)
(*.f64 81 (pow.f64 x 2))
(.f64 (.f64 x x) 81)
(.f64 x (.f64 x 81))
(+.f64 (.f64 54 x) (.f64 81 (pow.f64 x 2)))
(fma.f64 54 x (.f64 (.f64 x x) 81))
(fma.f64 x 54 (.f64 x (.f64 x 81)))
(.f64 x (+.f64 54 (.f64 x 81)))
(*.f64 x (fma.f64 x 81 54))
(+.f64 (.f64 54 x) (+.f64 36 (.f64 81 (pow.f64 x 2))))
(fma.f64 54 x (fma.f64 81 (*.f64 x x) 36))
(fma.f64 x 54 (fma.f64 (*.f64 x x) 81 36))
(fma.f64 x 54 (fma.f64 x (*.f64 x 81) 36))
(fma.f64 x (fma.f64 x 81 54) 36)
(+.f64 (.f64 54 x) (+.f64 36 (.f64 81 (pow.f64 x 2))))
(fma.f64 54 x (fma.f64 81 (*.f64 x x) 36))
(fma.f64 x 54 (fma.f64 (*.f64 x x) 81 36))
(fma.f64 x 54 (fma.f64 x (*.f64 x 81) 36))
(fma.f64 x (fma.f64 x 81 54) 36)
36
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)
(*.f64 54 x)
(*.f64 x 54)
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)
(*.f64 54 x)
(*.f64 x 54)
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)
(+.f64 (*.f64 54 x) 36)
(fma.f64 54 x 36)
(fma.f64 x 54 36)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 2 (*.f64 -3 x))
✓	0.2b	(.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x)))
✓	0.2b	(pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3)
✓	42.1b	(cbrt.f64 (pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3))

Compiler

Compiled 48 to 38 computations (20.8% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3))
0.0ms	x	@	0	(pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3)
0.0ms	x	@	inf	(pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3))
0.0ms	x	@	-inf	(pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3)

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
906×	`add-log-exp_binary64`
905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
112×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	248	36
2	3033	36

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3))
(pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3)
(.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -6 x) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -6 x) 1) (*.f64 (*.f64 9 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3 2) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -3 2)) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) (pow.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 2) (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (*.f64 (cbrt.f64 (*.f64 3 x)) (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3 2)) (*.f64 (sqrt.f64 (fma.f64 x -3 2)) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 x)) (*.f64 (sqrt.f64 (*.f64 3 x)) (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x -3 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) 1/3) (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 3 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 2)) (cbrt.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -3 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -3 2) (pow.f64 (cbrt.f64 (*.f64 3 x)) 2)) (cbrt.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -3 2) (sqrt.f64 (*.f64 3 x))) (sqrt.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -6 x) 3) (pow.f64 (*.f64 9 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 -6 x) (*.f64 -6 x)) (-.f64 (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x))) (*.f64 (*.f64 -6 x) (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -6 x) (*.f64 -6 x)) (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x)))) (-.f64 (*.f64 -6 x) (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (*.f64 27 (pow.f64 x 3))) (*.f64 3 x)) (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (*.f64 3 x)) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (+.f64 8 (*.f64 27 (pow.f64 x 3)))) (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (-.f64 4 (*.f64 9 (*.f64 x x)))) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) 2 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 3 x) (*.f64 9 (*.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -6 x) (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2)) (*.f64 (*.f64 9 (*.f64 x x)) (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) (*.f64 -6 x)) (*.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (*.f64 x (fma.f64 x -3 2)) (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (*.f64 (fma.f64 x -3 2) (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3 2) (*.f64 (*.f64 3 x) (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) (*.f64 3 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 2) (*.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) (*.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 (fma.f64 x -3 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3 2) 3) (*.f64 27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 3/2) (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 2) 3) (*.f64 3 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 3) (pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) 3) (*.f64 x (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) (*.f64 3 x)) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) (fma.f64 x -3 2)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) 1) (*.f64 3 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 2)) (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2) (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))))) (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -6 x) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -6 x) 1) (*.f64 (*.f64 9 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -6 x) 3) (pow.f64 (*.f64 9 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 -6 x) (*.f64 -6 x)) (-.f64 (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x))) (*.f64 (*.f64 -6 x) (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -6 x) (*.f64 -6 x)) (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x)))) (-.f64 (*.f64 -6 x) (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (*.f64 27 (pow.f64 x 3))) (*.f64 3 x)) (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (*.f64 3 x)) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (+.f64 8 (*.f64 27 (pow.f64 x 3)))) (+.f64 4 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (-.f64 4 (*.f64 9 (*.f64 x x)))) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) 2 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 3 x) (*.f64 9 (*.f64 x x)))))))

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

581×	`distribute-rgt-out_binary64`
492×	`unswap-sqr_binary64`
464×	`associate-l_binary64`
446×	`*-commutative_binary64`
441×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	479
1	96	470
2	225	446
3	662	405
4	2596	401
5	4849	401
6	5147	401
7	5604	401
8	6430	401
9	7369	401

Stop Event

1×	node limit

Counts

135 → 98

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27)))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(*.f64 216 (pow.f64 x 3))
(+.f64 (.f64 -972 (pow.f64 x 4)) (.f64 216 (pow.f64 x 3)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (*.f64 1458 (pow.f64 x 5))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(*.f64 -729 (pow.f64 x 6))
(+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 1458 (pow.f64 x 5)) (*.f64 -729 (pow.f64 x 6))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(*.f64 -729 (pow.f64 x 6))
(+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 1458 (pow.f64 x 5)) (*.f64 -729 (pow.f64 x 6))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27)))
(.f64 3 (.f64 (*.f64 x x) (cbrt.f64 -27)))
(.f64 (.f64 x x) (*.f64 (cbrt.f64 -27) 3))
(.f64 (cbrt.f64 -27) (.f64 x (*.f64 x 3)))
(.f64 (.f64 x x) (*.f64 3 (cbrt.f64 -27)))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(fma.f64 -2 (.f64 x (cbrt.f64 -27)) (.f64 3 (.f64 (.f64 x x) (cbrt.f64 -27))))
(.f64 (cbrt.f64 -27) (+.f64 (.f64 (.f64 x x) 3) (.f64 x -2)))
(.f64 (cbrt.f64 -27) (.f64 x (+.f64 -2 (*.f64 x 3))))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(fma.f64 -2 (.f64 x (cbrt.f64 -27)) (.f64 3 (.f64 (.f64 x x) (cbrt.f64 -27))))
(.f64 (cbrt.f64 -27) (+.f64 (.f64 (.f64 x x) 3) (.f64 x -2)))
(.f64 (cbrt.f64 -27) (.f64 x (+.f64 -2 (*.f64 x 3))))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(fma.f64 -2 (.f64 x (cbrt.f64 -27)) (.f64 3 (.f64 (.f64 x x) (cbrt.f64 -27))))
(.f64 (cbrt.f64 -27) (+.f64 (.f64 (.f64 x x) 3) (.f64 x -2)))
(.f64 (cbrt.f64 -27) (.f64 x (+.f64 -2 (*.f64 x 3))))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(*.f64 216 (pow.f64 x 3))
(+.f64 (.f64 -972 (pow.f64 x 4)) (.f64 216 (pow.f64 x 3)))
(fma.f64 -972 (pow.f64 x 4) (*.f64 216 (pow.f64 x 3)))
(fma.f64 216 (pow.f64 x 3) (*.f64 -972 (pow.f64 x 4)))
(.f64 (pow.f64 x 3) (+.f64 216 (.f64 x -972)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (*.f64 1458 (pow.f64 x 5))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (*.f64 1458 (pow.f64 x 5))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (*.f64 1458 (pow.f64 x 5))))
(fma.f64 1458 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 216 (.f64 x -972))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 1458 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (.f64 x -972) (fma.f64 (pow.f64 x 3) -729 216))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))))
(*.f64 -729 (pow.f64 x 6))
(+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))
(fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))
(.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 1458 (pow.f64 x 5)) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 1458 (pow.f64 x 5) (fma.f64 -972 (pow.f64 x 4) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 -972 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 1458 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (.f64 x -972) (fma.f64 (pow.f64 x 3) -729 216))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))))
(*.f64 -729 (pow.f64 x 6))
(+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))
(fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))
(.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 1458 (pow.f64 x 5)) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 1458 (pow.f64 x 5) (fma.f64 -972 (pow.f64 x 4) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 -972 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 1458 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (.f64 x -972) (fma.f64 (pow.f64 x 3) -729 216))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -9 x -6)
✓	0.1b	(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)
	0.3b	(pow.f64 (*.f64 -9 x) 2)
✓	9.4b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))

Compiler

Compiled 48 to 38 computations (20.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
1.0ms	x	@	-inf	(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)
0.0ms	x	@	inf	(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
351×	`pow-prod-down_binary64`
317×	`pow2_binary64`
222×	`pow1/3_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	268	34
2	3323	34

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)
(fma.f64 -9 x -6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 81 (*.f64 x x) -36) (/.f64 1 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 81 (*.f64 x x) -36) (/.f64 1 (/.f64 (fma.f64 -9 x -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 81 (*.f64 x x) -36) (*.f64 x (/.f64 1 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) (/.f64 1 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) (/.f64 1 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) (/.f64 1 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (fma.f64 81 (*.f64 x x) -36))) (/.f64 1 (neg.f64 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -9 x -6)) (*.f64 x (fma.f64 81 (*.f64 x x) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) 1) (/.f64 x (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 -9 x -6)) 2)) (/.f64 (fma.f64 81 (*.f64 x x) -36) (cbrt.f64 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (pow.f64 (cbrt.f64 (fma.f64 -9 x -6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x -6)) -2) (/.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) (cbrt.f64 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) 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(*.f64 x x) -36))) 2) (sqrt.f64 (fma.f64 -9 x -6))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) (sqrt.f64 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -9 x -6) (*.f64 x (fma.f64 81 (*.f64 x x) -36))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) 3) (pow.f64 (fma.f64 -9 x -6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 -9 x -6) (*.f64 x (fma.f64 81 (*.f64 x x) -36))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) (neg.f64 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) 3) (pow.f64 (fma.f64 -9 x -6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x -6)) x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 81 (*.f64 x x) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 81 (*.f64 x x)) x) (*.f64 -36 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -36 x) (*.f64 (*.f64 81 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 81 (*.f64 x x))) (*.f64 x -36))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -36) (*.f64 x (*.f64 81 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 81 (*.f64 x x) -36)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 81 (*.f64 x x) -36)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 81 (*.f64 x x) -36)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 81 (*.f64 x x) -36)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 531441 (pow.f64 x 6) -46656) x) (-.f64 (fma.f64 6561 (pow.f64 x 4) 1296) (*.f64 (*.f64 81 (*.f64 x x)) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 6561 (pow.f64 x 4) -1296) x) (fma.f64 81 (*.f64 x x) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 531441 (pow.f64 x 6) -46656)) (-.f64 (fma.f64 6561 (pow.f64 x 4) 1296) (*.f64 (*.f64 81 (*.f64 x x)) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 6561 (pow.f64 x 4) -1296)) (fma.f64 81 (*.f64 x x) 36))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 81 (*.f64 x x) -36)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 81 (*.f64 x x) -36))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 81 (*.f64 x x)) (*.f64 x -36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -36 (*.f64 x (*.f64 81 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 81 (*.f64 x x)) x (*.f64 -36 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -36 x (*.f64 (*.f64 81 (*.f64 x x)) x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -6 (*.f64 -9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -9 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -9 x -6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -9 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -9 x -6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -9 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -9 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -9 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -9 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -9 x -6)) (pow.f64 (cbrt.f64 (fma.f64 -9 x -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x -6)) 2) (cbrt.f64 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -9 x -6)) (sqrt.f64 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 -9 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -9 x) 3) -216) (fma.f64 81 (*.f64 x x) (-.f64 36 (*.f64 (*.f64 -9 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -9 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -9 x -6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -9 x -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -9 x -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -9 x -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -9 x -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -9 x -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -9 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -9 x -6)) 1))))))

simplify189.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
489×	`cube-prod_binary64`
474×	`*-commutative_binary64`
462×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	288
1	43	288
2	78	279
3	172	261
4	433	261
5	1681	261
6	3244	261
7	3450	261
8	3700	261
9	3987	261
10	4366	261
11	4885	261
12	5499	261
13	6211	261
14	6680	261
15	7001	261
16	7275	261
17	7443	261
18	7533	261

Stop Event

1×	node limit

Counts

140 → 119

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -36 x)
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(*.f64 81 (pow.f64 x 3))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(*.f64 81 (pow.f64 x 3))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
-6
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -36 x)
(*.f64 x -36)
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(fma.f64 81 (pow.f64 x 3) (*.f64 x -36))
(fma.f64 x -36 (*.f64 81 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 81) -36))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(fma.f64 81 (pow.f64 x 3) (*.f64 x -36))
(fma.f64 x -36 (*.f64 81 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 81) -36))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(fma.f64 81 (pow.f64 x 3) (*.f64 x -36))
(fma.f64 x -36 (*.f64 81 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 81) -36))
(*.f64 81 (pow.f64 x 3))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(fma.f64 81 (pow.f64 x 3) (*.f64 x -36))
(fma.f64 x -36 (*.f64 81 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 81) -36))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(fma.f64 81 (pow.f64 x 3) (*.f64 x -36))
(fma.f64 x -36 (*.f64 81 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 81) -36))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(fma.f64 81 (pow.f64 x 3) (*.f64 x -36))
(fma.f64 x -36 (*.f64 81 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 81) -36))
(*.f64 81 (pow.f64 x 3))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(fma.f64 81 (pow.f64 x 3) (*.f64 x -36))
(fma.f64 x -36 (*.f64 81 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 81) -36))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(fma.f64 81 (pow.f64 x 3) (*.f64 x -36))
(fma.f64 x -36 (*.f64 81 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 81) -36))
(+.f64 (.f64 81 (pow.f64 x 3)) (.f64 -36 x))
(fma.f64 81 (pow.f64 x 3) (*.f64 x -36))
(fma.f64 x -36 (*.f64 81 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 81) -36))
-6
(-.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x -6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x -6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x -6)
(fma.f64 x -9 -6)
(*.f64 -9 x)
(*.f64 x -9)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x -6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x -6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x -6)
(fma.f64 x -9 -6)
(*.f64 -9 x)
(*.f64 x -9)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x -6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x -6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x -6)
(fma.f64 x -9 -6)

eval687.0ms (8%)

Compiler: Compiled 13816 to 10084 computations (27% saved)

prune335.0ms (3.9%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	848	9	857
Fresh	6	2	8
Picked	1	0	1
Done	3	6	9
Total	858	17	875

Error

Counts

875 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
✓	22.2b	(*.f64 x 6)
	39.7b	(/.f64 (*.f64 3 x) (/.f64 -1/3 x))
	42.5b	(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
✓	39.7b	(.f64 (.f64 x -9) x)
	58.0b	(neg.f64 (*.f64 x x))
	0.9b	(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
✓	0.4b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
	23.4b	(*.f64 (/.f64 x (pow.f64 (+.f64 2 x) -1/2)) (/.f64 3 (pow.f64 (+.f64 2 x) -1/2)))
✓	39.7b	(.f64 (.f64 x x) -9)
	39.7b	(.f64 (.f64 x (*.f64 x -3)) 3)
	22.5b	(/.f64 (*.f64 x -36) (fma.f64 -9 x -6))
✓	0.3b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	61.9b	(/.f64 8/3 x)
	39.8b	(/.f64 (.f64 3 x) (/.f64 1 (.f64 x -3)))
	22.2b	(/.f64 (*.f64 x 216) 36)
	22.1b	(.f64 (/.f64 x (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) 216)

Compiler

Compiled 149 to 114 computations (23.5% saved)

regimes159.0ms (1.8%)

Counts

47 → 1

Calls

Call 1

Inputs
(/.f64 8/3 x)
(*.f64 x 6)
(neg.f64 (*.f64 x x))
(/.f64 (*.f64 x 216) 36)
(.f64 (.f64 x x) -9)
(.f64 (.f64 x -9) x)
(.f64 (.f64 x -9) x)
(/.f64 (*.f64 3 x) (/.f64 -1/3 x))
(.f64 (.f64 x (*.f64 x -3)) 3)
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 (.f64 3 (*.f64 x -3)) x)
(/.f64 (.f64 3 x) (/.f64 1 (.f64 x -3)))
(.f64 (.f64 3 (/.f64 1 (/.f64 -1/3 x))) x)
(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 -3 x))))
(.f64 (/.f64 3 (/.f64 1 (+.f64 2 (.f64 -3 x)))) x)
(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
(*.f64 -9 (pow.f64 x 2))
(*.f64 x (fma.f64 x -9 6))
(/.f64 (*.f64 x -36) (fma.f64 -9 x -6))
(/.f64 (.f64 x 216) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))
(.f64 (.f64 3 (/.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))) x)
(*.f64 (pow.f64 (sqrt.f64 6) 2) x)
(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3))
(.f64 (cbrt.f64 (pow.f64 (+.f64 6 (.f64 3 (*.f64 x -3))) 3)) x)
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
(.f64 (/.f64 x (fma.f64 81 (.f64 x x) (fma.f64 x 54 36))) 216)
(.f64 (.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
(*.f64 (/.f64 x (pow.f64 (+.f64 2 x) -1/2)) (/.f64 3 (pow.f64 (+.f64 2 x) -1/2)))
(.f64 (.f64 (.f64 x 3) (sqrt.f64 (+.f64 2 (.f64 x -3)))) (sqrt.f64 (+.f64 2 (*.f64 x -3))))
(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
(sqrt.f64 (.f64 9 (pow.f64 (.f64 x (fma.f64 x -3 2)) 2)))
(log.f64 (pow.f64 (exp.f64 3) (.f64 x (-.f64 2 (.f64 3 x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3) (pow.f64 x 3)))
(/.f64 (/.f64 (.f64 (-.f64 46656 (.f64 531441 (pow.f64 x 6))) x) (+.f64 216 (.f64 729 (pow.f64 x 3)))) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (*.f64 x -54))))
(.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4) (.f64 (pow.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)) 1/4) (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x)))))
(.f64 (cbrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (.f64 x -3)) x)))) (sqrt.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x)))))

Outputs
(*.f64 x (fma.f64 x -9 6))

Calls

2 calls:

67.0ms	x
45.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 566 to 438 computations (22.6% saved)

regimes70.0ms (0.8%)

Counts

22 → 1

Calls

Call 1

Inputs
(/.f64 8/3 x)
(*.f64 x 6)
(neg.f64 (*.f64 x x))
(/.f64 (*.f64 x 216) 36)
(.f64 (.f64 x x) -9)
(.f64 (.f64 x -9) x)
(.f64 (.f64 x -9) x)
(/.f64 (*.f64 3 x) (/.f64 -1/3 x))
(.f64 (.f64 x (*.f64 x -3)) 3)
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 (.f64 3 (*.f64 x -3)) x)
(/.f64 (.f64 3 x) (/.f64 1 (.f64 x -3)))
(.f64 (.f64 3 (/.f64 1 (/.f64 -1/3 x))) x)
(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 -3 x))))
(.f64 (/.f64 3 (/.f64 1 (+.f64 2 (.f64 -3 x)))) x)
(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
(*.f64 -9 (pow.f64 x 2))

Outputs
(.f64 (+.f64 (.f64 -9 x) 6) x)

Calls

2 calls:

37.0ms	x
20.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 196 to 142 computations (27.6% saved)

regimes39.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

Inputs
(/.f64 8/3 x)
(*.f64 x 6)
(neg.f64 (*.f64 x x))
(/.f64 (*.f64 x 216) 36)
(.f64 (.f64 x x) -9)
(.f64 (.f64 x -9) x)
(.f64 (.f64 x -9) x)
(/.f64 (*.f64 3 x) (/.f64 -1/3 x))
(.f64 (.f64 x (*.f64 x -3)) 3)

Outputs
(.f64 (.f64 x -9) x)
(*.f64 x 6)
(.f64 (.f64 x -9) x)

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 47 to 30 computations (36.2% saved)

bsearch91.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	0.21302464332661736	113671304.4944208
61.0ms	-3249094895.0997367	-2.8894730671811112e-5

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes42.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

Inputs
(/.f64 8/3 x)
(*.f64 x 6)
(neg.f64 (*.f64 x x))
(/.f64 (*.f64 x 216) 36)
(.f64 (.f64 x x) -9)

Outputs
(.f64 (.f64 x x) -9)
(*.f64 x 6)
(.f64 (.f64 x x) -9)

Calls

1 calls:

40.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.21302464332661736	113671304.4944208
25.0ms	-3249094895.0997367	-2.8894730671811112e-5

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes12.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(/.f64 8/3 x)
(*.f64 x 6)
(neg.f64 (*.f64 x x))
(/.f64 (*.f64 x 216) 36)

Outputs
(neg.f64 (*.f64 x x))
(*.f64 x 6)
(neg.f64 (*.f64 x x))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
19.4b	3	`x`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.21302464332661736	113671304.4944208
18.0ms	-3249094895.0997367	-2.8894730671811112e-5

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes5.0ms (0.1%)

Accuracy

Total -39.8b remaining (-179.3%)

Threshold costs -39.8b (-179.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 8/3 x)
(*.f64 x 6)

Outputs
(*.f64 x 6)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
22.2b	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	114
1	42	114
2	46	114
3	49	114
4	50	114

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x -9 6))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(if (<=.f64 x -6813845857448203/2097152) (.f64 (.f64 x -9) x) (if (<=.f64 x 3837510817225947/18014398509481984) (.f64 x 6) (.f64 (*.f64 x -9) x)))
(if (<=.f64 x -6813845857448203/2097152) (.f64 (.f64 x x) -9) (if (<=.f64 x 3837510817225947/18014398509481984) (.f64 x 6) (.f64 (*.f64 x x) -9)))
(if (<=.f64 x -6813845857448203/2097152) (neg.f64 (.f64 x x)) (if (<=.f64 x 3837510817225947/18014398509481984) (.f64 x 6) (neg.f64 (*.f64 x x))))
(*.f64 x 6)
(/.f64 8/3 x)

Outputs
(*.f64 x (fma.f64 x -9 6))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -6813845857448203/2097152) (.f64 (.f64 x -9) x) (if (<=.f64 x 3837510817225947/18014398509481984) (.f64 x 6) (.f64 (*.f64 x -9) x)))
(if (<=.f64 x -6813845857448203/2097152) (.f64 x (.f64 x -9)) (if (<=.f64 x 3837510817225947/18014398509481984) (.f64 x 6) (.f64 x (*.f64 x -9))))
(if (<=.f64 x -6813845857448203/2097152) (.f64 (.f64 x x) -9) (if (<=.f64 x 3837510817225947/18014398509481984) (.f64 x 6) (.f64 (*.f64 x x) -9)))
(if (<=.f64 x -6813845857448203/2097152) (.f64 -9 (.f64 x x)) (if (<=.f64 x 3837510817225947/18014398509481984) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -6813845857448203/2097152) (neg.f64 (.f64 x x)) (if (<=.f64 x 3837510817225947/18014398509481984) (.f64 x 6) (neg.f64 (*.f64 x x))))
(if (<=.f64 x -6813845857448203/2097152) (.f64 x (neg.f64 x)) (if (<=.f64 x 3837510817225947/18014398509481984) (.f64 x 6) (*.f64 x (neg.f64 x))))
(*.f64 x 6)
(/.f64 8/3 x)

Compiler

Compiled 87 to 57 computations (34.5% saved)

soundness133.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
395×	`fma-neg_binary64`
127×	`cancel-sign-sub-inv_binary64`
83×	`distribute-rgt-in_binary64`
66×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	43	10
3	101	8
4	227	8
5	361	8
6	545	8
7	816	8
8	1369	8
9	1511	8
10	1827	8
11	2245	8
12	2354	8
13	2358	8
14	2358	8

Stop Event

1×

saturated

Compiler

Compiled 132 to 108 computations (18.2% saved)

end192.0ms (2.2%)

Compiler: Compiled 81 to 51 computations (37% saved)