Details

analyze4.0ms (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)

sample1.4s (12.2%)

Results

1.2s	7555×	body	256	valid
157.0ms	464×	body	1024	valid
45.0ms	237×	body	512	valid
1.0ms	12×	body	256	infinite

Bogosity

preprocess70.0ms (0.6%)

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)

simplify54.0ms (0.5%)

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

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))
▶	0.2b	(.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)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.5%)

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)))))))

simplify192.0ms (1.6%)

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)

localize14.0ms (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)

series4.0ms (0%)

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	@	0	(.f64 3 (-.f64 2 (.f64 x 3)))
0.0ms	x	@	-inf	(.f64 3 (-.f64 2 (.f64 x 3)))

rewrite319.0ms (2.7%)

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))))))))

simplify160.0ms (1.3%)

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)

eval71.0ms (0.6%)

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

prune28.0ms (0.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	108	12	120
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	109	13	122

Error

0.0b

Counts

122 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.5b	(*.f64 x 6)
	12.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
	42.6b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
	39.3b	(*.f64 -9 (pow.f64 x 2))
▶	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	8.4b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
▶	0.3b	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
	39.3b	(.f64 (.f64 x -9) x)
✓	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	1.4b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
	0.3b	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
▶	7.8b	(.f64 (/.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))) x)
▶	0.3b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)

Compiler

Compiled 322 to 258 computations (19.9% saved)

localize10.0ms (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)

rewrite69.0ms (0.6%)

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)))))

simplify201.0ms (1.7%)

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)

localize45.0ms (0.4%)

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

localize26.0ms (0.2%)

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 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))
✓	0.2b	(.f64 9 (.f64 x x))

Compiler

Compiled 74 to 50 computations (32.4% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite269.0ms (2.3%)

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	4327	37

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

Inputs
(.f64 9 (.f64 x x))
(/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 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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simplify190.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
629×	`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	231	282
5	735	282
6	1064	282
7	1503	282
8	1607	282
9	1739	282
10	1908	282
11	2151	282
12	2466	282
13	2838	282
14	3292	282
15	3879	282
16	4587	282
17	5443	282
18	5869	282
19	6183	282
20	6487	282
21	6563	282
22	6597	282

Stop Event

1×	node limit

Counts

280 → 251

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

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.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)

series4.0ms (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	@	0	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x 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)

rewrite97.0ms (0.8%)

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	30
2	4633	30

Stop Event

1×	node limit

Counts

3 → 113

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 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 2 (neg.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (neg.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 -1 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2)) (cbrt.f64 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (neg.f64 (sqrt.f64 (*.f64 3 x))) (sqrt.f64 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 2 (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 1 (fma.f64 3 x 2))) (*.f64 (*.f64 (*.f64 x x) -9) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 3 x 2)) 4) (*.f64 (/.f64 1 (fma.f64 3 x 2)) (*.f64 (*.f64 x x) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 2 (*.f64 -3 x)))) (cbrt.f64 (exp.f64 (+.f64 2 (*.f64 -3 x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (*.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (*.f64 -3 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (*.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 (*.f64 -3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (fma.f64 3 x 2)) (/.f64 (*.f64 x (*.f64 x 9)) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -9 4) (/.f64 1 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 -3 x)) 1)))) (#(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 -1 (/.f64 1 (/.f64 -1 (+.f64 2 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 3 x 2)) (fma.f64 (*.f64 x x) -9 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 3 x 2)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 x x) -9 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (*.f64 -3 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 -3 x)))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 -3 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -9 4)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -9 4)) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 3 x 2) 2))) (/.f64 (fma.f64 (*.f64 x x) -9 4) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) 2) (cbrt.f64 (pow.f64 (fma.f64 3 x 2) 2))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -9 4)) (cbrt.f64 (pow.f64 (fma.f64 3 x 2) 2))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -9 4)) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 3 x 2))) (/.f64 (fma.f64 (*.f64 x x) -9 4) (sqrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) 2) (sqrt.f64 (fma.f64 3 x 2))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) (sqrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -9 4)) (sqrt.f64 (fma.f64 3 x 2))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -9 4)) (sqrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (fma.f64 3 x 2))) (neg.f64 (fma.f64 (*.f64 x x) -9 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -9 4) (fma.f64 27 (pow.f64 x 3) 8)) (fma.f64 (*.f64 3 x) (fma.f64 3 x -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -9 4) (fma.f64 (*.f64 x x) -9 4)) (+.f64 2 (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 3 x 2)) 1) (fma.f64 (*.f64 x x) -9 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 3 x 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -9 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 3 x 2)) (sqrt.f64 (fma.f64 (*.f64 x x) -9 4))) (sqrt.f64 (fma.f64 (*.f64 x 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 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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -9 4) 3) (pow.f64 (fma.f64 3 x 2) 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))))))) (#(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 exp.f64 (*.f64 (log.f64 (+.f64 2 (*.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 (fma.f64 3 x 2)) (*.f64 (*.f64 (*.f64 x x) -9) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 3 x 2)) 4 (*.f64 (/.f64 1 (fma.f64 3 x 2)) (*.f64 (*.f64 x x) -9)))))))

simplify118.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	366
1	130	348
2	327	339
3	1050	315
4	3114	315
5	7931	315

Stop Event

1×	node limit

Counts

149 → 138

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

localize134.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3)
✓	0.2b	(*.f64 27 (pow.f64 x 3))
	0.2b	(.f64 9 (.f64 x x))
✓	7.3b	(/.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (*.f64 6 x))))

Compiler

Compiled 107 to 77 computations (28% saved)

series6.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite275.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`fma-def_binary64`
316×	`expm1-udef_binary64`
316×	`log1p-udef_binary64`
272×	`fma-neg_binary64`
246×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	412	48
2	5387	40

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.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 (/.f64 8 (*.f64 (fma.f64 x (fma.f64 x 9 6) 4) 1/3)) (/.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 (fma.f64 x (fma.f64 x 9 6) 4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.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 3 (*.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 (fma.f64 (pow.f64 x 3) -27 8) (/.f64 1 (*.f64 (fma.f64 x (fma.f64 x 9 6) 4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -27 8) (*.f64 3 (/.f64 1 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (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 3 (/.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 3 (/.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 3 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)))) (pow.f64 (cbrt.f64 (*.f64 3 (/.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 3 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)))) 2) (cbrt.f64 (*.f64 3 (/.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 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) 2) (*.f64 (cbrt.f64 (*.f64 3 (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 3 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)))) (sqrt.f64 (*.f64 3 (/.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 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) (*.f64 (sqrt.f64 (*.f64 3 (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) -3) (/.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)) (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)))))) (#(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)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) 1) (/.f64 3 (fma.f64 x (fma.f64 x 9 6) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) 2) 1) (/.f64 (cbrt.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 (/.f64 (sqrt.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) 1) (/.f64 (sqrt.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 (/.f64 3 (pow.f64 (cbrt.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 (fma.f64 (pow.f64 x 3) -27 8) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 6) 4)) 2)) (/.f64 3 (cbrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 6) 4)) 2)) (/.f64 (*.f64 3 (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 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 6) 4)) 2)) (cbrt.f64 (*.f64 3 (/.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 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 6) 4)) 2)) (/.f64 (sqrt.f64 (*.f64 3 (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 3 (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 (fma.f64 (pow.f64 x 3) -27 8) (sqrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))) (/.f64 3 (sqrt.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 (*.f64 3 (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 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 9 6) 4))) (/.f64 (cbrt.f64 (*.f64 3 (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 (*.f64 3 (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 (*.f64 3 (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 3 (/.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 3 (/.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 3 (/.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 3 (/.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) (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.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 sqrt.f64 (pow.f64 (*.f64 3 (/.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 3 (/.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 3 (/.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 3 (/.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 (*.f64 3 (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 3 (/.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 3 (/.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 3 (/.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 3 (/.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 (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 (pow.f64 x 6) 729))))) (#(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 24 (*.f64 (*.f64 (pow.f64 x 3) -27) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 24 (*.f64 3 (*.f64 (pow.f64 x 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 512 (*.f64 (pow.f64 (pow.f64 x 3) 3) 19683)) 3) (+.f64 64 (fma.f64 (pow.f64 x 3) 216 (*.f64 (pow.f64 x 6) 729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 64 (*.f64 (pow.f64 x 6) 729)) 3) (fma.f64 27 (pow.f64 x 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 512 (*.f64 (pow.f64 (pow.f64 x 3) 3) 19683))) (+.f64 64 (fma.f64 (pow.f64 x 3) 216 (*.f64 (pow.f64 x 6) 729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 64 (*.f64 (pow.f64 x 6) 729))) (fma.f64 27 (pow.f64 x 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 (pow.f64 x 3) -27 8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -27 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (fma.f64 (pow.f64 x 3) -27 8))) 1))))))

simplify192.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
452×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	141
1	26	141
2	45	141
3	79	141
4	139	141
5	363	141
6	1241	141
7	1948	141
8	2035	141
9	2168	141
10	2325	141
11	2565	141
12	2887	141
13	3308	141
14	3809	141
15	4408	141
16	5130	141
17	5451	141
18	5735	141
19	5957	141
20	6137	141
21	6219	141
22	7159	141

Stop Event

1×	node limit

Counts

102 → 88

Calls

Call 1

Inputs
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))
24
(+.f64 (*.f64 -81 (pow.f64 x 3)) 24)
(+.f64 (*.f64 -81 (pow.f64 x 3)) 24)
(+.f64 (*.f64 -81 (pow.f64 x 3)) 24)
(*.f64 -81 (pow.f64 x 3))
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(*.f64 -81 (pow.f64 x 3))
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))

Outputs
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
24
(+.f64 (*.f64 -81 (pow.f64 x 3)) 24)
(fma.f64 -81 (pow.f64 x 3) 24)
(+.f64 (*.f64 -81 (pow.f64 x 3)) 24)
(fma.f64 -81 (pow.f64 x 3) 24)
(+.f64 (*.f64 -81 (pow.f64 x 3)) 24)
(fma.f64 -81 (pow.f64 x 3) 24)
(*.f64 -81 (pow.f64 x 3))
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(fma.f64 -81 (pow.f64 x 3) 24)
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(fma.f64 -81 (pow.f64 x 3) 24)
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(fma.f64 -81 (pow.f64 x 3) 24)
(*.f64 -81 (pow.f64 x 3))
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(fma.f64 -81 (pow.f64 x 3) 24)
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(fma.f64 -81 (pow.f64 x 3) 24)
(+.f64 24 (*.f64 -81 (pow.f64 x 3)))
(fma.f64 -81 (pow.f64 x 3) 24)

eval1.8s (15%)

Compiler: Compiled 17285 to 13528 computations (21.7% saved)

prune363.0ms (3.1%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	567	8	575
Fresh	4	3	7
Picked	1	0	1
Done	1	4	5
Total	573	15	588

Error

0.0b

Counts

588 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.5b	(*.f64 x 6)
▶	12.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
✓	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	39.3b	(*.f64 -9 (pow.f64 x 2))
▶	0.2b	(+.f64 0 (.f64 3 (.f64 x (+.f64 2 (*.f64 -3 x)))))
	39.4b	(.f64 (.f64 3 (/.f64 1 (/.f64 -1/3 x))) x)
✓	0.3b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
	8.4b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
▶	39.3b	(.f64 (.f64 x -9) x)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
▶	0.2b	(+.f64 0 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))))
▶	42.6b	(cbrt.f64 (pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3))
	7.8b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
	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))))
	1.4b	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x)))) 3)

Compiler

Compiled 310 to 253 computations (18.4% saved)

localize173.0ms (1.5%)

Local error

Found 2 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)))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series3.0ms (0%)

Counts

2 → 18

Calls

6 calls:

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

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`pow1_binary64`
799×	`add-log-exp_binary64`
798×	`log1p-expm1-u_binary64`
798×	`expm1-log1p-u_binary64`
787×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	199	16
2	2635	16

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

simplify395.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	141
1	24	141
2	39	132
3	80	114
4	194	114
5	553	114
6	1913	114
7	3183	114
8	3387	114
9	3600	114
10	3820	114
11	4130	114
12	4534	114
13	5045	114
14	5613	114
15	6299	114
16	7134	114
17	7526	114
18	7814	114

Stop Event

1×	node limit

Counts

76 → 67

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)))
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 -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))
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)

localize12.0ms (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)

series2.0ms (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)

rewrite105.0ms (0.9%)

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))))))))

simplify203.0ms (1.7%)

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))

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 32 computations (22% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`pow1_binary64`
918×	`add-log-exp_binary64`
917×	`log1p-expm1-u_binary64`
917×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	199	19
2	2519	19

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) 3) (*.f64 (*.f64 x (*.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 3 x)) (*.f64 (*.f64 x -3) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3) (*.f64 3 x)) (*.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x 2)) (*.f64 3 (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 2) (*.f64 (*.f64 3 x) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) (*.f64 x -3)) (*.f64 (*.f64 3 x) 2))))) (#(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 /.f64 (*.f64 (*.f64 3 x) (+.f64 8 (*.f64 -27 (pow.f64 x 3)))) (-.f64 (+.f64 4 (*.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)))) (-.f64 2 (*.f64 x -3)))))) (#(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 (pow.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3)) 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 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 x (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 x (*.f64 x -3)) 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 x (*.f64 x -3)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 x (*.f64 x -3)) (*.f64 x (*.f64 x -3))) (*.f64 (*.f64 x 2) (*.f64 x (*.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x (*.f64 x -3)) (*.f64 x (*.f64 x -3)))) (-.f64 (*.f64 x 2) (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (*.f64 -27 (pow.f64 x 3))) x) (-.f64 (+.f64 4 (*.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 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (*.f64 -27 (pow.f64 x 3)))) (-.f64 (+.f64 4 (*.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 x -3)))))) (#(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 x (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 x (*.f64 x -3)))))))

simplify188.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	234
1	26	234
2	47	216
3	109	180
4	284	180
5	816	180
6	1256	180
7	1720	180
8	1828	180
9	1963	180
10	2132	180
11	2373	180
12	2690	180
13	3062	180
14	3521	180
15	4112	180
16	4822	180
17	5682	180
18	6108	180
19	6420	180
20	6726	180
21	6802	180
22	6836	180

Stop Event

1×	node limit

Counts

69 → 56

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)))

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

localize110.0ms (0.9%)

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)
✓	41.6b	(cbrt.f64 (pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))) 3))

Compiler

Compiled 48 to 38 computations (20.8% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite94.0ms (0.8%)

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	29
1	248	25
2	3033	25

Stop Event

1×	node limit

Counts

2 → 76

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)

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))))))))))

simplify136.0ms (1.1%)

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	362
1	96	353
2	225	338
3	662	315
4	2596	311
5	4849	311
6	5147	311
7	5604	311
8	6430	311
9	7369	311

Stop Event

1×	node limit

Counts

100 → 97

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)))))

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)))))

localize43.0ms (0.4%)

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 3 (-.f64 2 (.f64 3 x)))
✓	0.1b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
✓	0.7b	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)

Compiler

Compiled 49 to 41 computations (16.3% saved)

series21.0ms (0.2%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
4.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)
3.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)
2.0ms	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)

rewrite97.0ms (0.8%)

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	45
1	222	45
2	2444	45

Stop Event

1×	node limit

Counts

4 → 88

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

968×	`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	64	767
1	177	315
2	627	288
3	2180	266
4	6752	262

Stop Event

1×	node limit

Counts

120 → 97

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

eval755.0ms (6.4%)

Compiler: Compiled 6736 to 5433 computations (19.3% saved)

prune163.0ms (1.4%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	424	11	435
Fresh	2	4	6
Picked	1	0	1
Done	3	5	8
Total	430	20	450

Error

Counts

450 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	49.2b	(cbrt.f64 (*.f64 216 (pow.f64 x 3)))
	39.3b	(+.f64 0 (.f64 3 (.f64 x (*.f64 x -3))))
✓	39.3b	(.f64 (.f64 x -9) x)
✓	22.5b	(*.f64 x 6)
▶	0.9b	(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
▶	49.1b	(cbrt.f64 (pow.f64 (*.f64 6 x) 3))
	23.0b	(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
	11.9b	(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
	39.4b	(+.f64 0 (.f64 (.f64 3 x) (*.f64 x -3)))
	1.4b	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x)))) 3)
▶	7.7b	(+.f64 0 (/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (-.f64 2 (*.f64 x -3))))
✓	0.3b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
▶	39.4b	(.f64 (.f64 3 (/.f64 1 (/.f64 -1/3 x))) x)
✓	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	31.9b	(+.f64 0 (.f64 3 (/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x (.f64 x -3)) (.f64 x (.f64 x -3)))) (-.f64 (.f64 x 2) (.f64 x (.f64 x -3))))))
▶	0.2b	(.f64 (fma.f64 x -3 2) (.f64 3 x))
	7.8b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
	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))))
	51.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 x -9)) 2) x)

Compiler

Compiled 448 to 357 computations (20.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x -3 2)
✓	0.2b	(.f64 (fma.f64 x -3 2) (.f64 3 x))

Compiler

Compiled 20 to 15 computations (25% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite201.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`pow1_binary64`
655×	`add-log-exp_binary64`
654×	`log1p-expm1-u_binary64`
654×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	164	16
2	1785	16

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

simplify232.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	171
1	24	171
2	39	162
3	80	144
4	194	144
5	553	144
6	1913	144
7	3181	144
8	3385	144
9	3598	144
10	3818	144
11	4128	144
12	4530	144
13	5043	144
14	5611	144
15	6301	144
16	7136	144
17	7528	144
18	7814	144

Stop Event

1×	node limit

Counts

60 → 47

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)))
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))
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)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 (/.f64 1 (/.f64 -1/3 x))) x)
✓	0.2b	(*.f64 3 (/.f64 1 (/.f64 -1/3 x)))
✓	0.3b	(/.f64 1 (/.f64 -1/3 x))
✓	0.3b	(/.f64 -1/3 x)

Compiler

Compiled 29 to 23 computations (20.7% saved)

series5.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 -1/3 x)
0.0ms	x	@	-inf	(/.f64 1 (/.f64 -1/3 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 -1/3 x))
0.0ms	x	@	inf	(/.f64 -1/3 x)
0.0ms	x	@	-inf	(/.f64 -1/3 x)

rewrite167.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`pow1_binary64`
790×	`add-log-exp_binary64`
790×	`log1p-expm1-u_binary64`
790×	`expm1-log1p-u_binary64`
775×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	194	19
2	2263	19

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

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

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

simplify190.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`
513×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	180
1	17	180
2	26	180
3	49	180
4	119	180
5	372	180
6	1435	180
7	2320	180
8	2484	180
9	2697	180
10	2917	180
11	3221	180
12	3621	180
13	4112	180
14	4678	180
15	5362	180
16	6197	180
17	6591	180
18	6877	180
19	7153	180
20	7227	180
21	7263	180

Stop Event

1×	node limit

Counts

114 → 82

Calls

Call 1

Inputs
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 x)
(*.f64 -9 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))

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

localize55.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2 (*.f64 x -3))
✓	0.1b	(.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x))))
	0.2b	(.f64 9 (.f64 x x))
✓	7.0b	(/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (-.f64 2 (*.f64 x -3)))

Compiler

Compiled 81 to 55 computations (32.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite130.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`log-prod_binary64`
559×	`prod-diff_binary64`
310×	`fma-def_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	339	36
2	4661	30

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -6 x) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 3 x) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (*.f64 x (fma.f64 x (*.f64 x 9) 4)) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (*.f64 x (fma.f64 x (*.f64 x 9) 4)) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (fma.f64 3 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9) 4) (*.f64 (*.f64 3 x) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) (/.f64 1 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) (/.f64 1 (+.f64 -2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 3 x) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))) 2) (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) 2)) (*.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 3 x) (sqrt.f64 (*.f64 -6 x))) (hypot.f64 (*.f64 3 x) (sqrt.f64 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) (*.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 3 x 2)) (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 x) 1) (fma.f64 3 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 9) 4) 1) (/.f64 (*.f64 3 x) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 x) (fma.f64 3 x 2)) (fma.f64 x (*.f64 x 9) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) 1) (/.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x 9) 4)) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2)) (/.f64 (fma.f64 x (*.f64 x 9) 4) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 9) 4) (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2)) (/.f64 (*.f64 3 x) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2)) (/.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) 2)) (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2)) (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (sqrt.f64 (fma.f64 3 x 2))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x 9) 4)) (sqrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 3 x 2))) (/.f64 (fma.f64 x (*.f64 x 9) 4) (sqrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 9) 4) (sqrt.f64 (fma.f64 3 x 2))) (/.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 3 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9)))) (exp.f64 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 9) (*.f64 x x))) (exp.f64 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -6 x)) (pow.f64 (exp.f64 9) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -6 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -6 x)) (/.f64 1 (pow.f64 (exp.f64 9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) 3) (pow.f64 (fma.f64 3 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (*.f64 3 x)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 3 (*.f64 3 x)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -3 (*.f64 3 x)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) (*.f64 3 x) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) 2 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (neg.f64 (*.f64 x x)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -9 (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 9)) 1 (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 3 x) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (*.f64 x (*.f64 3 x)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 9)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -6 x) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (*.f64 -6 x))))) 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x)) (sqrt.f64 (*.f64 -6 x)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (*.f64 x 9)) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 x x)) 9 (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 x 9)) x (*.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 x) -3 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 x (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2)) (cbrt.f64 (*.f64 3 x)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (*.f64 3 x))) (sqrt.f64 (*.f64 3 x)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 4))) (pow.f64 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(cbrt.f64 (*.f64 3 x)) 2)) (cbrt.f64 (*.f64 3 x)) (*.f64 -6 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 3 x)) (*.f64 -27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 4) (*.f64 -27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) (cbrt.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x (*.f64 x 9) 4)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x (*.f64 x 9) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x (*.f64 x 9) 4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x (*.f64 x 9) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 64 (*.f64 729 (pow.f64 (*.f64 x x) 3))) (*.f64 3 x)) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 16 (*.f64 81 (pow.f64 x 4))) (*.f64 3 x)) (fma.f64 x (*.f64 x 9) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (-.f64 64 (*.f64 729 (pow.f64 (*.f64 x x) 3)))) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (+.f64 16 (*.f64 81 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 9) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x (*.f64 x 9) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x (*.f64 x 9) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x (*.f64 x 9) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 -27 (pow.f64 x 3)) (pow.f64 (fma.f64 x (*.f64 x 9) 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 4) 3) (*.f64 -27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 x (fma.f64 x (*.f64 x 9) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) 4 (*.f64 -27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 3 x) (*.f64 -27 (pow.f64 x 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 3 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 3 x 2))) (cbrt.f64 (exp.f64 (fma.f64 3 x 2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 3 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3 x 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9) 4) (/.f64 1 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x 2)) (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2) (cbrt.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x 2)) (sqrt.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (*.f64 -27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 3 x) (fma.f64 3 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x 9) 4) (fma.f64 3 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 3 x) (fma.f64 3 x 2) 4) (-.f64 8 (*.f64 -27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (*.f64 -27 (pow.f64 x 3))) (fma.f64 (*.f64 3 x) (fma.f64 3 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 x 9) 4)) (+.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 (fma.f64 (*.f64 3 x) (fma.f64 3 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 -27 (pow.f64 x 3))) (+.f64 4 (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 x 2)) 1))))) (#(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 -3 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (neg.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 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 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (neg.f64 (cbrt.f64 (*.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3 x)) (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) 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 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (neg.f64 (sqrt.f64 (*.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -3 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 9)) (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 3 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2)) (cbrt.f64 (*.f64 3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 3 x))) (sqrt.f64 (*.f64 3 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)))))

simplify210.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	288
1	42	288
2	77	279
3	184	261
4	457	261
5	1726	261
6	3317	261
7	3523	261
8	3773	261
9	4060	261
10	4439	261
11	4962	261
12	5576	261
13	6286	261
14	6753	261
15	7072	261
16	7342	261
17	7510	261
18	7602	261

Stop Event

1×	node limit

Counts

231 → 209

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 12 x)
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(*.f64 -27 (pow.f64 x 3))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(*.f64 -27 (pow.f64 x 3))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
2
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 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 -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 12 x)
(*.f64 x 12)
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(*.f64 -27 (pow.f64 x 3))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(*.f64 -27 (pow.f64 x 3))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
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 (*.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 (*.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)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 6 x) 3)
✓	33.8b	(cbrt.f64 (pow.f64 (*.f64 6 x) 3))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series14.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 6 x) 3))
3.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 6 x) 3))
3.0ms	x	@	0	(pow.f64 (*.f64 6 x) 3)
2.0ms	x	@	-inf	(pow.f64 (*.f64 6 x) 3)
1.0ms	x	@	inf	(pow.f64 (*.f64 6 x) 3)

rewrite183.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`pow1_binary64`
520×	`add-sqr-sqrt_binary64`
500×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
500×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	151	11
2	1431	11

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 6 x) 3))
(pow.f64 (*.f64 6 x) 3)

Outputs

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

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

simplify203.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
470×	`fabs-mul_binary64`
443×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	164
1	28	164
2	58	164
3	86	164
4	147	164
5	379	164
6	1272	164
7	1971	164
8	2090	164
9	2483	164
10	2641	164
11	2884	164
12	3206	164
13	3628	164
14	4129	164
15	4730	164
16	5450	164
17	5769	164
18	6053	164
19	6279	164
20	6457	164
21	6537	164
22	7477	164

Stop Event

1×	node limit

Counts

75 → 54

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(.f64 -1 (.f64 (cbrt.f64 -216) x))
(.f64 -1 (.f64 (cbrt.f64 -216) x))
(.f64 -1 (.f64 (cbrt.f64 -216) x))
(.f64 -1 (.f64 (cbrt.f64 -216) x))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))

Outputs
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(.f64 -1 (.f64 (cbrt.f64 -216) x))
(neg.f64 (*.f64 x (cbrt.f64 -216)))
(*.f64 (cbrt.f64 -216) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -216)))
(.f64 -1 (.f64 (cbrt.f64 -216) x))
(neg.f64 (*.f64 x (cbrt.f64 -216)))
(*.f64 (cbrt.f64 -216) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -216)))
(.f64 -1 (.f64 (cbrt.f64 -216) x))
(neg.f64 (*.f64 x (cbrt.f64 -216)))
(*.f64 (cbrt.f64 -216) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -216)))
(.f64 -1 (.f64 (cbrt.f64 -216) x))
(neg.f64 (*.f64 x (cbrt.f64 -216)))
(*.f64 (cbrt.f64 -216) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -216)))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))
(*.f64 216 (pow.f64 x 3))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 3 -2)
✓	0.1b	(*.f64 x (fma.f64 x 3 -2))
✓	0.1b	(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
✓	1.0b	(cbrt.f64 -27)

Compiler

Compiled 26 to 20 computations (23.1% saved)

series10.0ms (0.1%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
2.0ms	x	@	0	(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
1.0ms	x	@	inf	(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
1.0ms	x	@	-inf	(*.f64 x (fma.f64 x 3 -2))
1.0ms	x	@	inf	(*.f64 x (fma.f64 x 3 -2))

rewrite308.0ms (2.6%)

Algorithm

4×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

569×	`fma-def_binary64`
539×	`pow1_binary64`
527×	`add-sqr-sqrt_binary64`
502×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	183	29
2	2061	29
0	3	3
1	59	3
2	598	3
3	5935	3
0	9	13
1	183	13
2	2061	13
0	9	13
0	6	8
1	122	8
2	1334	8
0	5	5
1	102	5
2	1069	5

Stop Event

1×	node limit
1×	node limit
1×	iter limit
1×	unsound
1×	node limit
1×	unsound

Counts

4 → 88

Calls

Call 1

Inputs
(cbrt.f64 -27)
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(*.f64 x (fma.f64 x 3 -2))
(fma.f64 x 3 -2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 -27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 -27))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 -27))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 -27)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 -27) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 -27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 -27))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 -27)) (cbrt.f64 (cbrt.f64 729)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 729)) (cbrt.f64 (cbrt.f64 -27)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -27 1/6) (pow.f64 -27 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 729))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -27))) (cbrt.f64 (cbrt.f64 729))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 531441))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 729))) (cbrt.f64 (cbrt.f64 -27))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 -27) 1/6) (.f64 (pow.f64 (cbrt.f64 -27) 1/6) (cbrt.f64 (cbrt.f64 729))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -27 1/12) (pow.f64 -27 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -27 1/12) (.f64 (pow.f64 -27 1/12) (pow.f64 -27 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -27 1/4) (pow.f64 -27 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 -27)) 5)) (pow.f64 (cbrt.f64 -27) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 -27 1/6) (cbrt.f64 (cbrt.f64 -27))) (pow.f64 (cbrt.f64 -27) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (cbrt.f64 -27)) (cbrt.f64 (cbrt.f64 (cbrt.f64 531441)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 729))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (cbrt.f64 729)) (cbrt.f64 (cbrt.f64 (cbrt.f64 729)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 -27))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (cbrt.f64 729)) (pow.f64 (cbrt.f64 -27) 1/6)) (pow.f64 (cbrt.f64 -27) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 -27) 1) 3) 1) (fma.f64 (+.f64 (cbrt.f64 -27) 1) (+.f64 (cbrt.f64 -27) 1) (+.f64 1 (+.f64 (cbrt.f64 -27) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (cbrt.f64 -27) 1) (+.f64 (cbrt.f64 -27) 1) -1) (+.f64 (+.f64 (cbrt.f64 -27) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -27 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 -27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 729 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 729) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 -27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 -27 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 -27))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 -27)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 -27)))) (sqrt.f64 (log.f64 (cbrt.f64 -27))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 -27))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 -27))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 729))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 -27))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 -27)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 -27)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 -27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 -27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 -27))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 -27)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cbrt.f64 -27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cbrt.f64 -27) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 (cbrt.f64 -27) 1)) (cbrt.f64 (+.f64 (cbrt.f64 -27) 1))) (cbrt.f64 (+.f64 (cbrt.f64 -27) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 -27 1/6)) (hypot.f64 1 (pow.f64 -27 1/6)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2))) (.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))) (.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 3) x) (.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3)) (.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x 3 -2))) 1)))) (#(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 cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 3 -2)) 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 +.f64 -2 (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 3 -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 3) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3 -2))) (cbrt.f64 (exp.f64 (fma.f64 x 3 -2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 -2)) 1)))) (#(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 (pow.f64 (.f64 x 3) 3) -8) (fma.f64 (.f64 x 3) (.f64 x 3) (-.f64 4 (.f64 (.f64 x 3) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x 3) (*.f64 x 3) -4) (fma.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 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)))))))

simplify248.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

751×	`sqr-pow_binary64`
641×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`
590×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	393
1	39	348
2	73	294
3	140	294
4	385	294
5	1230	294
6	1944	294
7	2728	294
8	2838	294
9	2973	294
10	3145	294
11	3388	294
12	3705	294
13	4077	294
14	4532	294
15	5117	294
16	5825	294
17	6685	294
18	7115	294
19	7431	294
20	7739	294
21	7817	294
22	7853	294

Stop Event

1×	node limit

Counts

124 → 104

Calls

Call 1

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

Outputs
(.f64 -2 (.f64 x (cbrt.f64 -27)))
(.f64 (.f64 -2 x) (cbrt.f64 -27))
(.f64 x (.f64 -2 (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (.f64 -2 x))
(+.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 (.f64 3 (.f64 x x)) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (fma.f64 -2 x (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 x (.f64 (cbrt.f64 -27) (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 (.f64 3 (.f64 x x)) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (fma.f64 -2 x (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 x (.f64 (cbrt.f64 -27) (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 (.f64 3 (.f64 x x)) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (fma.f64 -2 x (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 x (.f64 (cbrt.f64 -27) (fma.f64 x 3 -2)))
(.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27)))
(.f64 (.f64 3 (*.f64 x x)) (cbrt.f64 -27))
(.f64 (cbrt.f64 -27) (.f64 x (*.f64 x 3)))
(.f64 (cbrt.f64 -27) (.f64 3 (*.f64 x x)))
(+.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 (.f64 3 (.f64 x x)) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (fma.f64 -2 x (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 x (.f64 (cbrt.f64 -27) (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 (.f64 3 (.f64 x x)) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (fma.f64 -2 x (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 x (.f64 (cbrt.f64 -27) (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 (.f64 3 (.f64 x x)) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (fma.f64 -2 x (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 x (.f64 (cbrt.f64 -27) (fma.f64 x 3 -2)))
(.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27)))
(.f64 (.f64 3 (*.f64 x x)) (cbrt.f64 -27))
(.f64 (cbrt.f64 -27) (.f64 x (*.f64 x 3)))
(.f64 (cbrt.f64 -27) (.f64 3 (*.f64 x x)))
(+.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 (.f64 3 (.f64 x x)) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (fma.f64 -2 x (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 x (.f64 (cbrt.f64 -27) (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 (.f64 3 (.f64 x x)) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (fma.f64 -2 x (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 x (.f64 (cbrt.f64 -27) (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 (.f64 3 (.f64 x x)) (cbrt.f64 -27)))
(.f64 (cbrt.f64 -27) (fma.f64 -2 x (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 -27) (.f64 x (fma.f64 x 3 -2)))
(.f64 x (.f64 (fma.f64 x 3 -2) (cbrt.f64 -27)))
(.f64 x (.f64 (cbrt.f64 -27) (fma.f64 x 3 -2)))
(*.f64 -2 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 3 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 3 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 3 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -2))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 3 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 3 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 3 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -2))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 3 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 3 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 3 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 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 (*.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 (*.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)

eval349.0ms (2.9%)

Compiler: Compiled 7650 to 6053 computations (20.9% saved)

prune92.0ms (0.8%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	506	8	514
Fresh	4	6	10
Picked	1	0	1
Done	2	7	9
Total	513	21	534

Error

Counts

534 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	39.3b	(+.f64 0 (.f64 3 (.f64 x (*.f64 x -3))))
✓	39.3b	(.f64 (.f64 x -9) x)
✓	22.5b	(*.f64 x 6)
✓	49.1b	(cbrt.f64 (pow.f64 (*.f64 6 x) 3))
	23.0b	(*.f64 (pow.f64 216 1/3) x)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	23.0b	(*.f64 (cbrt.f64 216) x)
	11.9b	(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
✓	0.2b	(.f64 (fma.f64 x -3 2) (.f64 3 x))
	47.9b	(+.f64 0 (/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (*.f64 x 3)))
	51.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 x -9)) 2) x)
	23.3b	(pow.f64 (cbrt.f64 (*.f64 6 x)) 3)
✓	39.4b	(.f64 (.f64 3 (/.f64 1 (/.f64 -1/3 x))) x)
	23.3b	(+.f64 0 (pow.f64 (/.f64 1 (.f64 (.f64 3 x) (fma.f64 3 x 2))) -1))
	39.4b	(.f64 (.f64 x -3) (*.f64 3 x))
✓	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	39.4b	(*.f64 (/.f64 3 (/.f64 -1/3 x)) x)
	31.9b	(+.f64 0 (.f64 3 (/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x (.f64 x -3)) (.f64 x (.f64 x -3)))) (-.f64 (.f64 x 2) (.f64 x (.f64 x -3))))))
	7.8b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
	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))))
	23.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 6))

Compiler

Compiled 237 to 186 computations (21.5% saved)

regimes67.0ms (0.6%)

Counts

41 → 1

Calls

Call 1

Inputs
(*.f64 x 6)
(.f64 (.f64 x -9) x)
(.f64 (.f64 x -3) (*.f64 3 x))
(*.f64 (/.f64 3 (/.f64 -1/3 x)) x)
(.f64 (+.f64 (.f64 -9 x) 6) x)
(+.f64 0 (.f64 3 (.f64 x (*.f64 x -3))))
(+.f64 0 (.f64 (.f64 3 x) (*.f64 x -3)))
(.f64 (.f64 3 (/.f64 1 (/.f64 -1/3 x))) x)
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(+.f64 0 (.f64 3 (.f64 x (+.f64 2 (*.f64 -3 x)))))
(+.f64 0 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x))))
(+.f64 0 (/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (*.f64 x 3)))
(.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 0 (/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (-.f64 2 (*.f64 x -3))))
(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
(+.f64 0 (.f64 3 (/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x (.f64 x -3)) (.f64 x (.f64 x -3)))) (-.f64 (.f64 x 2) (.f64 x (.f64 x -3))))))
(*.f64 (cbrt.f64 216) x)
(*.f64 (pow.f64 216 1/3) x)
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 x (fma.f64 x -9 6))
(.f64 (fma.f64 x -3 2) (.f64 3 x))
(.f64 (/.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))) x)
(pow.f64 (cbrt.f64 (*.f64 6 x)) 3)
(cbrt.f64 (*.f64 216 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 6 x) 3))
(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
(.f64 (pow.f64 (sqrt.f64 (.f64 x -9)) 2) x)
(.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))
(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 -3 x)))) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
(+.f64 0 (pow.f64 (/.f64 1 (.f64 (.f64 3 x) (fma.f64 3 x 2))) -1))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 6))
(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))

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

Calls

2 calls:

26.0ms	x
24.0ms	(.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 466 to 360 computations (22.7% saved)

regimes14.0ms (0.1%)

Accuracy

Total -59.4b remaining (-4828.8%)

Threshold costs -59.4b (-4828.8%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 x 6)
(.f64 (.f64 x -9) x)
(.f64 (.f64 x -3) (*.f64 3 x))
(*.f64 (/.f64 3 (/.f64 -1/3 x)) x)

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	6.878002767758079e-10	908.3172438391954
17.0ms	-26.66547093116212	-5.029996061749501e-6

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	22	44

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -1876415702331883/70368744177664) (*.f64 (*.f64 x -9) x) (if (<=.f64 x 6651996106658899/9671406556917033397649408) (*.f64 x 6) (*.f64 (*.f64 x -9) x)))

(*.f64 x 6)

Outputs
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 x (+.f64 (.f64 -9 x) 6))
(if (<=.f64 x -1876415702331883/70368744177664) (.f64 (.f64 x -9) x) (if (<=.f64 x 6651996106658899/9671406556917033397649408) (.f64 x 6) (.f64 (*.f64 x -9) x)))
(if (<=.f64 x -1876415702331883/70368744177664) (.f64 x (.f64 -9 x)) (if (<=.f64 x 6651996106658899/9671406556917033397649408) (.f64 x 6) (.f64 x (*.f64 -9 x))))
(*.f64 x 6)

Compiler

Compiled 34 to 24 computations (29.4% saved)

soundness0.0ms (0%)

end31.0ms (0.3%)

Compiler: Compiled 32 to 22 computations (31.3% saved)