Details

analyze4.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.2s (13.4%)

Results

1.1s	7562×	body	256	valid
97.0ms	464×	body	1024	valid
31.0ms	230×	body	512	valid
0.0ms	5×	body	256	invalid

preprocess65.0ms (0.7%)

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)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

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)

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

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

Outputs

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

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

simplify199.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 45

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
1.0ms	x	@	0	(.f64 3 (-.f64 2 (.f64 x 3)))
1.0ms	x	@	-inf	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
0.0ms	x	@	0	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
0.0ms	x	@	inf	(.f64 3 (-.f64 2 (.f64 x 3)))

rewrite69.0ms (0.8%)

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

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 (+.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 (+.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 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 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 (+.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 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))))))))

simplify164.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
601×	`associate-l_binary64`
540×	`cube-prod_binary64`
529×	`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	539	198
6	1891	198
7	3162	198
8	3366	198
9	3579	198
10	3799	198
11	4107	198
12	4507	198
13	5020	198
14	5586	198
15	6272	198
16	7109	198
17	7501	198
18	7789	198

Stop Event

1×	node limit

Counts

94 → 74

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

eval32.0ms (0.4%)

Compiler: Compiled 1321 to 1030 computations (22% saved)

prune30.0ms (0.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	104	15	119
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	106	15	121

Error

0.0b

Counts

121 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	40.5b	(cbrt.f64 (.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3) (pow.f64 x 3)))
	9.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
▶	22.5b	(*.f64 x 6)
	6.8b	(.f64 (/.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))) x)
	40.5b	(.f64 (.f64 -9 x) x)
	40.5b	(.f64 -9 (.f64 x x))
	40.4b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
	0.3b	(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
▶	0.2b	(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
	44.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
	1.4b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
▶	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
▶	0.2b	(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
▶	7.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
	0.3b	(.f64 (.f64 3 (fma.f64 x -3 2)) x)

Compiler

Compiled 354 to 284 computations (19.8% saved)

localize8.0ms (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
0.0ms	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)

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify198.0ms (2.2%)

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)

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
✓	0.2b	(.f64 (.f64 x -9) x)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`pow1_binary64`
837×	`add-log-exp_binary64`
837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
822×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	15
2	2276	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

simplify178.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
555×	`cube-prod_binary64`
551×	`fabs-mul_binary64`
542×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	201
1	18	201
2	32	192
3	69	174
4	168	174
5	495	174
6	1760	174
7	3006	174
8	3210	174
9	3423	174
10	3643	174
11	3956	174
12	4358	174
13	4869	174
14	5435	174
15	6127	174
16	6964	174
17	7356	174
18	7644	174
19	7922	174
20	7996	174

Stop Event

1×	node limit

Counts

76 → 58

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
✓	0.2b	(*.f64 -9 (pow.f64 x 2))

Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
852×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	197	18
2	2368	18

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 81) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -9 (*.f64 x x) (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))) (pow.f64 (cbrt.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))) 2) (cbrt.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))) (sqrt.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 216) (*.f64 (pow.f64 (*.f64 x x) 3) -729)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 x (*.f64 6 (*.f64 -9 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 (pow.f64 x 4) 81)) (/.f64 1 (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 x (*.f64 6 (*.f64 -9 (*.f64 x x)))))) (+.f64 (*.f64 (pow.f64 x 3) 216) (*.f64 (pow.f64 (*.f64 x x) 3) -729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 (pow.f64 x 4) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 216) (*.f64 (pow.f64 (*.f64 x x) 3) -729)) (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 x (*.f64 6 (*.f64 -9 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 216) (*.f64 (pow.f64 (*.f64 x x) 3) -729)) (+.f64 (*.f64 (pow.f64 x 4) 81) (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 x (*.f64 6 (*.f64 -9 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 (pow.f64 x 4) 81)) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 216) (*.f64 (pow.f64 (*.f64 x x) 3) -729))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 x (*.f64 6 (*.f64 -9 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 (pow.f64 x 4) 81))) (neg.f64 (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (*.f64 x x) 36)) (-.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -9 (*.f64 x x) (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 (*.f64 x x) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -9 (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -9 (*.f64 x x)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (cbrt.f64 (*.f64 -9 (*.f64 x x))) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -9)) (*.f64 x (sqrt.f64 -9)) (*.f64 x 6))))))

simplify167.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	15	18
2	26	18
3	52	18
4	126	18
5	385	18
6	1432	18
7	2323	18
8	2487	18
9	2700	18
10	2920	18
11	3222	18
12	3624	18
13	4113	18
14	4679	18
15	5365	18
16	6202	18
17	6596	18
18	6884	18
19	7158	18
20	7230	18
21	7266	18

Stop Event

1×	node limit

Counts

51 → 51

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
✓	0.1b	(.f64 3 (-.f64 2 (.f64 3 x)))
✓	0.2b	(pow.f64 (.f64 3 (-.f64 2 (.f64 3 x))) 3)
✓	7.0b	(cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (.f64 3 x))) 3))

Compiler

Compiled 50 to 42 computations (16% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`pow1_binary64`
912×	`add-log-exp_binary64`
911×	`log1p-expm1-u_binary64`
911×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	226	46
2	2536	46

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

602×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
507×	`sqr-pow_binary64`
498×	`fma-def_binary64`
376×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	388
1	60	386
2	127	350
3	353	325
4	898	312
5	2745	312
6	4186	312
7	4848	312
8	6074	312
9	6461	312
10	6844	312
11	7449	312

Stop Event

1×	node limit

Counts

139 → 96

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))
216
(+.f64 216 (*.f64 -972 x))
(+.f64 216 (+.f64 (.f64 -972 x) (.f64 1458 (pow.f64 x 2))))
(+.f64 216 (+.f64 (.f64 -972 x) (+.f64 (.f64 1458 (pow.f64 x 2)) (*.f64 -729 (pow.f64 x 3)))))
(*.f64 -729 (pow.f64 x 3))
(+.f64 (.f64 1458 (pow.f64 x 2)) (.f64 -729 (pow.f64 x 3)))
(+.f64 (.f64 -972 x) (+.f64 (.f64 1458 (pow.f64 x 2)) (*.f64 -729 (pow.f64 x 3))))
(+.f64 216 (+.f64 (.f64 -972 x) (+.f64 (.f64 1458 (pow.f64 x 2)) (*.f64 -729 (pow.f64 x 3)))))
(*.f64 -729 (pow.f64 x 3))
(+.f64 (.f64 1458 (pow.f64 x 2)) (.f64 -729 (pow.f64 x 3)))
(+.f64 (.f64 -972 x) (+.f64 (.f64 1458 (pow.f64 x 2)) (*.f64 -729 (pow.f64 x 3))))
(+.f64 216 (+.f64 (.f64 -972 x) (+.f64 (.f64 1458 (pow.f64 x 2)) (*.f64 -729 (pow.f64 x 3)))))
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 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))

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

eval87.0ms (1%)

Compiler: Compiled 3632 to 2738 computations (24.6% saved)

prune51.0ms (0.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	256	11	267
Fresh	6	4	10
Picked	1	0	1
Done	2	2	4
Total	265	17	282

Error

0.0b

Counts

282 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.5b	(.f64 -9 (.f64 x x))
▶	0.3b	(pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 x -3))) 1)
	40.5b	(.f64 (.f64 x -9) x)
▶	0.3b	(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
	6.8b	(.f64 (/.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))) x)
	23.0b	(*.f64 (cbrt.f64 216) x)
	27.0b	(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -9)) 2) (.f64 (.f64 x x) 36)) (.f64 x (-.f64 (.f64 x -9) 6)))
	6.8b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
▶	0.2b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
	0.2b	(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
	9.8b	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
	0.3b	(.f64 (.f64 3 (fma.f64 x -3 2)) x)
	44.5b	(pow.f64 (sqrt.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 x -3)))) 2)
✓	22.5b	(*.f64 x 6)
▶	9.0b	(.f64 (pow.f64 (sqrt.f64 (+.f64 6 (.f64 (*.f64 x -3) 3))) 2) x)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	1.4b	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 x -3)))) 3)

Compiler

Compiled 410 to 321 computations (21.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
✓	0.2b	(.f64 x (.f64 x -9))

Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`pow1_binary64`
591×	`add-log-exp_binary64`
591×	`log1p-expm1-u_binary64`
591×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	143	17
2	1588	17

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

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 (*.f64 x (sqrt.f64 -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))))))))

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

simplify180.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
555×	`cube-prod_binary64`
551×	`fabs-mul_binary64`
542×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	201
1	18	201
2	32	192
3	69	174
4	168	174
5	495	174
6	1760	174
7	3006	174
8	3210	174
9	3423	174
10	3643	174
11	3956	174
12	4358	174
13	4869	174
14	5435	174
15	6127	174
16	6964	174
17	7356	174
18	7644	174
19	7922	174
20	7996	174

Stop Event

1×	node limit

Counts

57 → 39

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
403×	`add-log-exp_binary64`
403×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1150	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify181.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 88 to 63 computations (28.4% saved)

series11.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 1 (+.f64 2 (*.f64 3 x)))
1.0ms	x	@	inf	(/.f64 1 (+.f64 2 (*.f64 3 x)))
1.0ms	x	@	inf	(.f64 9 (.f64 x x))
1.0ms	x	@	0	(.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))
1.0ms	x	@	0	(.f64 9 (.f64 x x))

rewrite223.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log-prod_binary64`
440×	`prod-diff_binary64`
261×	`fma-def_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	329	32
2	4166	32

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 9 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 9 (.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 9 (.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 x 3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 3 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (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 (/.f64 1 (cbrt.f64 (fma.f64 x 3 2))) (cbrt.f64 (pow.f64 (fma.f64 x 3 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 3 2) -1/2) (pow.f64 (fma.f64 x 3 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2))) (/.f64 1 (cbrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 (pow.f64 x 3) 27 8)) (fma.f64 (.f64 x 3) (fma.f64 x 3 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 (.f64 x x) -9 4)) (+.f64 2 (.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 3 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 x 3 2))) -1)))) (#(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 (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 3 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 3 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (neg.f64 (.f64 x 3)))))) (#(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 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (neg.f64 (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (neg.f64 (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3))))))) (#(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 x 3 2))) (.f64 (.f64 (.f64 x x) -9) (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 x 3 2)) 4) (.f64 (/.f64 1 (fma.f64 x 3 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 x 3))))) (#(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 x 3 2)) (/.f64 (.f64 9 (.f64 x x)) (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x x) -9 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) -9 4) (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -9 4) 2)) (/.f64 (fma.f64 x 3 2) (cbrt.f64 (fma.f64 (.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (.f64 x x) -9 4)) (/.f64 (fma.f64 x 3 2) (sqrt.f64 (fma.f64 (.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (pow.f64 (.f64 9 (.f64 x x)) 3)) (.f64 (fma.f64 x 3 2) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (.f64 81 (pow.f64 x 4))) (.f64 (fma.f64 x 3 2) (fma.f64 9 (.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (.f64 x x) -9 4)) (neg.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 64 (pow.f64 (.f64 9 (.f64 x x)) 3))) (.f64 (neg.f64 (fma.f64 x 3 2)) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 16 (.f64 81 (pow.f64 x 4)))) (.f64 (neg.f64 (fma.f64 x 3 2)) (fma.f64 9 (.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (pow.f64 (.f64 9 (.f64 x x)) 3)) 1) (.f64 (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x)))) (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (.f64 81 (pow.f64 x 4))) 1) (.f64 (fma.f64 9 (.f64 x x) 4) (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (pow.f64 (.f64 9 (.f64 x x)) 3)) -1) (.f64 (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x)))) (neg.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (.f64 81 (pow.f64 x 4))) -1) (.f64 (fma.f64 9 (.f64 x x) 4) (neg.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (.f64 x x) -9 4) (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 (.f64 x x) -9 4) 1) (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (.f64 x x) -9 4) (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2))) (cbrt.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (pow.f64 (.f64 x 3) 3)) (+.f64 4 (fma.f64 9 (.f64 x x) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (fma.f64 (.f64 x x) -9 4)) (neg.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (pow.f64 (.f64 9 (.f64 x x)) 3)) (/.f64 1 (fma.f64 x 3 2))) (+.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 1 (fma.f64 x 3 2))) (fma.f64 9 (.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (fma.f64 x 3 2)) (-.f64 64 (pow.f64 (.f64 9 (.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 1 (fma.f64 x 3 2)) (-.f64 16 (.f64 81 (pow.f64 x 4)))) (fma.f64 9 (.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (.f64 x x) -9 4) -1) (neg.f64 (fma.f64 x 3 2)))))) (#(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 pow.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x x) -9 4)) -1)))) (#(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 x 3 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 2)) 3) (pow.f64 (fma.f64 (.f64 x x) -9 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -9 4) 3) (pow.f64 (/.f64 1 (fma.f64 x 3 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 (log.f64 (+.f64 2 (.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x 3 2)) 4 (.f64 (/.f64 1 (fma.f64 x 3 2)) (.f64 (.f64 x x) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 (fma.f64 x 3 2)) (.f64 (.f64 (*.f64 x x) -9) (/.f64 1 (fma.f64 x 3 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (+.f64 2 (.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (exp.f64 (+.f64 2 (.f64 -3 x))) (exp.f64 (+.f64 2 (.f64 -3 x))))) (+.f64 2 (.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 -3 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (+.f64 2 (.f64 -3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (fma.f64 (.f64 x x) -9 4)) (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 3 (fma.f64 (.f64 x x) -9 4)) 1) (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 3 (fma.f64 (.f64 x x) -9 4)) -1) (neg.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (+.f64 2 (.f64 -3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (+.f64 2 (.f64 -3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 (+.f64 2 (.f64 -3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (+.f64 2 (.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (+.f64 2 (.f64 -3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))) 1))))))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
713×	`distribute-neg-frac_binary64`
417×	`times-frac_binary64`
323×	`distribute-rgt-neg-in_binary64`
298×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	375
1	116	371
2	267	369
3	684	363
4	2022	360
5	5863	360

Stop Event

1×	node limit

Counts

166 → 145

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

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

localize50.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite244.0ms (2.7%)

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

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)))))

simplify175.0ms (1.9%)

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

82 → 68

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)

localize62.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3)))
✓	0.1b	(.f64 (pow.f64 (sqrt.f64 (+.f64 6 (.f64 (*.f64 x -3) 3))) 2) x)
✓	0.3b	(.f64 (.f64 x -3) 3)
✓	0.8b	(pow.f64 (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) 2)

Compiler

Compiled 51 to 43 computations (15.7% saved)

series152.0ms (1.7%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
140.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) 2)
4.0ms	x	@	0	(pow.f64 (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))) 2)
1.0ms	x	@	inf	(sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3)))
1.0ms	x	@	-inf	(sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3)))

rewrite127.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
351×	`exp-prod_binary64`
337×	`prod-exp_binary64`
291×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	260	24
2	2748	24

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

Outputs
((#(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 0 (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -9 6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -9 6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (-.f64 6 (.f64 x -9))) (/.f64 (.f64 (.f64 x x) 81) (-.f64 6 (.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -9 6) 1)))) (#(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 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 (pow.f64 (fma.f64 x -9 6) 1/4) (pow.f64 (fma.f64 x -9 6) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -729 216) (/.f64 1 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (-.f64 6 (.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x -9 6) 3/4) (pow.f64 (fma.f64 x -9 6) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x -9 6) 5/6) (pow.f64 (fma.f64 x -9 6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36) (fma.f64 (pow.f64 x 3) -729 216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6 (.f64 x -9)) (-.f64 36 (.f64 (.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 (.f64 x x) 81 (-.f64 36 (.f64 6 (.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 6 (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -729 216)) (neg.f64 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (neg.f64 (-.f64 6 (.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) 81 -36) (fma.f64 x -9 -6))))) (#(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 log.f64 (+.f64 1 (expm1.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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x -9 6))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x -9 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x -9 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 1) (log.f64 (sqrt.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) (.f64 (log.f64 (fma.f64 x -9 6)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1/2) (.f64 (log.f64 (fma.f64 x -9 6)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 1) (.f64 (log.f64 (fma.f64 x -9 6)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1/2) (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (.f64 x 3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -3) 3 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 x -3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -9) 1 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x -3)) 3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x -9)) (pow.f64 (cbrt.f64 (.f64 x -9)) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) 2) (cbrt.f64 (.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -3)) (.f64 (sqrt.f64 (.f64 x -3)) 3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 x) -3 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (.f64 x -3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 (.f64 x -3))) (sqrt.f64 (.f64 x -3)) 6)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) -6)) (.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) -729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x -9))) 2)) (cbrt.f64 (log.f64 (.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -9)))) (sqrt.f64 (log.f64 (.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) -729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x -9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x -9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x -9))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x -9)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x -9)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 6 x) (.f64 (.f64 x -9) x))))) (#(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 6) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -9)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 x 3) -729 216) x) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216)) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 36 (.f64 (.f64 x x) 81))) (-.f64 6 (.f64 x -9)))))) (#(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)) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))) 2)) (cbrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6))))) (sqrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (.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 exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (fma.f64 x -9 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 x -9 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -9 6)) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (.f64 (.f64 x -9) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x -9) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -9) x (*.f64 6 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -9 6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -9 6))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (fma.f64 x -9 6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x -9 6) 1/6) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x -9 6) 1/4) (pow.f64 (fma.f64 x -9 6) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (sqrt.f64 (-.f64 6 (.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -729 216)) (sqrt.f64 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x -9 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x -9 6) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x -9 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 1) 1))))))

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

730×	`associate-+l+_binary64`
613×	`associate-+r+_binary64`
539×	`associate-l_binary64`
527×	`associate-r_binary64`
485×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	291
1	190	265
2	601	232
3	2318	224

Stop Event

1×	node limit

Counts

201 → 187

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 6) 2)
(+.f64 (*.f64 -9 x) (pow.f64 (sqrt.f64 6) 2))
(+.f64 (.f64 -9 x) (+.f64 (.f64 (+.f64 (.f64 6561/64 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))) (+.f64 (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -81/8 (pow.f64 (sqrt.f64 6) 3)) 2) (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))))))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 6) 2)))
(+.f64 (.f64 -9 x) (+.f64 (.f64 (+.f64 (.f64 9/2 (/.f64 (+.f64 (pow.f64 (/.f64 -81/8 (pow.f64 (sqrt.f64 6) 3)) 2) (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6)))) (pow.f64 (sqrt.f64 6) 2))) (+.f64 (.f64 59049/64 (/.f64 1 (pow.f64 (sqrt.f64 6) 8))) (.f64 -1 (+.f64 (.f64 9/2 (/.f64 (+.f64 (pow.f64 (/.f64 -81/8 (pow.f64 (sqrt.f64 6) 3)) 2) (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6)))) (pow.f64 (sqrt.f64 6) 2))) (.f64 59049/64 (/.f64 1 (pow.f64 (sqrt.f64 6) 8))))))) (pow.f64 x 5)) (+.f64 (.f64 (+.f64 (.f64 6561/64 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))) (+.f64 (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -81/8 (pow.f64 (sqrt.f64 6) 3)) 2) (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))))))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 6) 2))))
(*.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 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)))
(sqrt.f64 6)
(+.f64 (sqrt.f64 6) (*.f64 -9/2 (/.f64 x (sqrt.f64 6))))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 6) 3))) (+.f64 (sqrt.f64 6) (.f64 -9/2 (/.f64 x (sqrt.f64 6)))))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 6) 3))) (+.f64 (sqrt.f64 6) (+.f64 (.f64 -9/2 (/.f64 x (sqrt.f64 6))) (*.f64 -729/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 6) 5))))))

Outputs
(pow.f64 (sqrt.f64 6) 2)
6
(+.f64 (*.f64 -9 x) (pow.f64 (sqrt.f64 6) 2))
(fma.f64 -9 x (pow.f64 (sqrt.f64 6) 2))
(fma.f64 -9 x 6)
(+.f64 (.f64 -9 x) (+.f64 (.f64 (+.f64 (.f64 6561/64 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))) (+.f64 (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -81/8 (pow.f64 (sqrt.f64 6) 3)) 2) (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))))))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 6) 2)))
(fma.f64 -9 x (pow.f64 (sqrt.f64 6) 2))
(fma.f64 -9 x 6)
(+.f64 (.f64 -9 x) (+.f64 (.f64 (+.f64 (.f64 9/2 (/.f64 (+.f64 (pow.f64 (/.f64 -81/8 (pow.f64 (sqrt.f64 6) 3)) 2) (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6)))) (pow.f64 (sqrt.f64 6) 2))) (+.f64 (.f64 59049/64 (/.f64 1 (pow.f64 (sqrt.f64 6) 8))) (.f64 -1 (+.f64 (.f64 9/2 (/.f64 (+.f64 (pow.f64 (/.f64 -81/8 (pow.f64 (sqrt.f64 6) 3)) 2) (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6)))) (pow.f64 (sqrt.f64 6) 2))) (.f64 59049/64 (/.f64 1 (pow.f64 (sqrt.f64 6) 8))))))) (pow.f64 x 5)) (+.f64 (.f64 (+.f64 (.f64 6561/64 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))) (+.f64 (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -81/8 (pow.f64 (sqrt.f64 6) 3)) 2) (.f64 6561/16 (/.f64 1 (pow.f64 (sqrt.f64 6) 6))))))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 6) 2))))
(fma.f64 -9 x (pow.f64 (sqrt.f64 6) 2))
(fma.f64 -9 x 6)
(*.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 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(sqrt.f64 6)
(+.f64 (sqrt.f64 6) (*.f64 -9/2 (/.f64 x (sqrt.f64 6))))
(fma.f64 -9/2 (/.f64 x (sqrt.f64 6)) (sqrt.f64 6))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 6) 3))) (+.f64 (sqrt.f64 6) (.f64 -9/2 (/.f64 x (sqrt.f64 6)))))
(fma.f64 -81/8 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 6) 3)) (+.f64 (sqrt.f64 6) (.f64 -9/2 (/.f64 x (sqrt.f64 6)))))
(+.f64 (fma.f64 -9/2 (/.f64 x (sqrt.f64 6)) (sqrt.f64 6)) (.f64 -27/16 (/.f64 (.f64 x x) (sqrt.f64 6))))
(fma.f64 -9/2 (/.f64 x (sqrt.f64 6)) (fma.f64 -27/16 (/.f64 x (/.f64 (sqrt.f64 6) x)) (sqrt.f64 6)))
(+.f64 (sqrt.f64 6) (*.f64 (/.f64 x (sqrt.f64 6)) (+.f64 -9/2 (/.f64 x -16/27))))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 6) 3))) (+.f64 (sqrt.f64 6) (+.f64 (.f64 -9/2 (/.f64 x (sqrt.f64 6))) (*.f64 -729/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 6) 5))))))
(fma.f64 -81/8 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 6) 3)) (+.f64 (sqrt.f64 6) (fma.f64 -9/2 (/.f64 x (sqrt.f64 6)) (.f64 -729/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 6) 5))))))
(+.f64 (.f64 -27/16 (/.f64 (.f64 x x) (sqrt.f64 6))) (+.f64 (sqrt.f64 6) (fma.f64 -9/2 (/.f64 x (sqrt.f64 6)) (*.f64 -729/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 6) 5))))))
(fma.f64 -27/16 (/.f64 x (/.f64 (sqrt.f64 6) x)) (fma.f64 -9/2 (/.f64 x (sqrt.f64 6)) (fma.f64 -729/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 6) 5)) (sqrt.f64 6))))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 6)) (+.f64 -9/2 (/.f64 x -16/27))) (fma.f64 -729/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 6) 5)) (sqrt.f64 6)))

eval166.0ms (1.8%)

Compiler: Compiled 6975 to 5431 computations (22.1% saved)

prune279.0ms (3.1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	450	5	455
Fresh	5	5	10
Picked	1	0	1
Done	2	4	6
Total	458	14	472

Error

0.0b

Counts

472 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.5b	(.f64 -9 (.f64 x x))
	23.0b	(*.f64 (pow.f64 (sqrt.f64 6) 2) x)
▶	6.8b	(.f64 (/.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))) x)
	23.0b	(*.f64 (cbrt.f64 216) x)
✓	0.2b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
▶	0.2b	(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
	9.8b	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
✓	22.5b	(*.f64 x 6)
▶	40.5b	(.f64 (.f64 x -9) x)
	0.5b	(.f64 (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 6 (.f64 x -9))) x)
▶	6.8b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	44.4b	(pow.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) 3)

Compiler

Compiled 283 to 219 computations (22.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
	0.2b	(.f64 -9 (.f64 x x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite218.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	175	10
2	2266	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 -9 x) 6))) (/.f64 (*.f64 (*.f64 x x) 36) (*.f64 x (-.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 -9 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 6 (*.f64 -9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 (*.f64 -9 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 3) (*.f64 216 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x 6) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 36)) (/.f64 1 (*.f64 x (-.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x 6) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))) (+.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 3) (*.f64 216 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 -9 x) 6)) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 3) (*.f64 216 (pow.f64 x 3))) (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x 6) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 3) (*.f64 216 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 36)) (*.f64 x (-.f64 (*.f64 -9 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 3) (*.f64 216 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x 6) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 36))) (neg.f64 (*.f64 x (-.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 81 (pow.f64 x 4))) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 (*.f64 x x) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -9 (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -9 (*.f64 x x)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (cbrt.f64 (*.f64 -9 (*.f64 x x))) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -9)) (*.f64 x (sqrt.f64 -9)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -9 x) x (*.f64 x 6))))))

simplify195.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
561×	`fabs-mul_binary64`
529×	`associate-l_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1701	90
7	2944	90
8	3148	90
9	3362	90
10	3582	90
11	3893	90
12	4297	90
13	4806	90
14	5374	90
15	6056	90
16	6889	90
17	7285	90
18	7577	90
19	7855	90
20	7931	90
21	7967	90

Stop Event

1×	node limit

Counts

52 → 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)))

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))

localize5.0ms (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)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 6 (*.f64 x -9))
✓	0.1b	(.f64 (-.f64 36 (.f64 (*.f64 x x) 81)) x)
✓	0.4b	(.f64 (.f64 x x) 81)
✓	6.2b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))

Compiler

Compiled 53 to 33 computations (37.7% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))
0.0ms	x	@	inf	(.f64 (.f64 x x) 81)
0.0ms	x	@	inf	(.f64 (-.f64 36 (.f64 (*.f64 x x) 81)) x)

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
487×	`prod-diff_binary64`
253×	`fma-def_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	300	37
2	4157	31

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))
(.f64 (.f64 x x) 81)
(.f64 (-.f64 36 (.f64 (*.f64 x x) 81)) x)
(-.f64 6 (*.f64 x -9))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 6)))) (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 6)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 6))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (/.f64 (fma.f64 x -9 6) x)) (/.f64 (.f64 x (.f64 x 81)) (/.f64 (fma.f64 x -9 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 81) 36) (/.f64 1 (/.f64 (fma.f64 x -9 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 81) 36) (.f64 x (/.f64 1 (fma.f64 x -9 6))))))) 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(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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 (neg.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 9)) (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (neg.f64 (cbrt.f64 (.f64 x 9))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 9)) (sqrt.f64 (.f64 x 9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 9)) (neg.f64 (sqrt.f64 (.f64 x 9))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 81)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 9) 1 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 x 9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (.f64 x 9))) (sqrt.f64 (.f64 x 9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) (cbrt.f64 (.f64 x 9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -9 (sqrt.f64 x)) (sqrt.f64 x) 6)))))

simplify131.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
568×	`distribute-lft-in_binary64`
568×	`distribute-rgt-in_binary64`
558×	`associate-l_binary64`
536×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	390
1	44	372
2	85	363
3	198	345
4	509	345
5	1950	345
6	3289	345
7	3569	345
8	4141	345
9	5216	345
10	7199	345
11	7724	345

Stop Event

1×	node limit

Counts

200 → 167

Calls

Call 1

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

localize192.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))) x)
✓	0.2b	(*.f64 27 (pow.f64 x 3))
	0.2b	(.f64 9 (.f64 x x))
✓	6.3b	(/.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)

series8.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite97.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`fma-def_binary64`
336×	`expm1-udef_binary64`
336×	`log1p-udef_binary64`
275×	`fma-neg_binary64`
263×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	68
1	434	66
2	5731	54

Stop Event

1×	node limit

Counts

3 → 86

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

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

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

simplify177.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
537×	`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	478	144
6	1734	144
7	2986	144
8	3190	144
9	3404	144
10	3624	144
11	3933	144
12	4335	144
13	4848	144
14	5414	144
15	6098	144
16	6935	144
17	7329	144
18	7623	144
19	7897	144
20	7965	144

Stop Event

1×	node limit

Counts

110 → 96

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 6 (*.f64 x -9))
✓	0.1b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	0.6b	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) 3)

Compiler

Compiled 38 to 29 computations (23.7% saved)

series7.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
0.0ms	x	@	inf	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))

rewrite225.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`log-prod_binary64`
330×	`prod-exp_binary64`
319×	`exp-prod_binary64`
281×	`pow-prod-down_binary64`
275×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	226	31
2	2564	31

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 6) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -9)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 6) 1) (.f64 (.f64 x (.f64 x -9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -9 6) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2) (cbrt.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (.f64 (cbrt.f64 (fma.f64 x -9 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 1/6) (pow.f64 (.f64 x (fma.f64 x -9 6)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -9 6)) (.f64 (sqrt.f64 (fma.f64 x -9 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) (sqrt.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 5/6) (pow.f64 (.f64 x (fma.f64 x -9 6)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (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 (.f64 x (sqrt.f64 (fma.f64 x -9 6))) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x -9 6) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x -9 6) (sqrt.f64 x)) (sqrt.f64 x))))) 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36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 (pow.f64 x 3) -729 216)) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 36 (.f64 (.f64 x x) 81))) (+.f64 6 (.f64 9 x)))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (.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 exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 x (fma.f64 x -9 6)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (fma.f64 x -9 6)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (fma.f64 x -9 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 x -9 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -9 6)) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1/3) (.f64 2/3 (log.f64 (.f64 x (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 1) (.f64 2/3 (log.f64 (.f64 x (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (.f64 x (fma.f64 x -9 6)))) (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (.f64 x (fma.f64 x -9 6)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3/2) (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3/2) (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x -9) (.f64 x 6))))) (#(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 -9 (.f64 x x) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -9) x (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 6) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x -9)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) -9 (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 x x) 81)) (.f64 (cbrt.f64 (.f64 x -9)) x) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 6) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x -9)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -9)) (.f64 (sqrt.f64 (.f64 x -9)) x) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x -9)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 6) 1 (.f64 (.f64 x (.f64 x -9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 2) (cbrt.f64 (.f64 x (.f64 x -9))) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (.f64 x 6)) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (.f64 x -9))) (sqrt.f64 (.f64 x (.f64 x -9))) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (.f64 x 6)) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 6 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 (.f64 (.f64 x x) 81))) (cbrt.f64 (.f64 x -9)) (.f64 x 6))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (+.f64 6 (.f64 9 x))) (/.f64 (.f64 (.f64 x x) 81) (+.f64 6 (.f64 9 x))))))) (#(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 (fma.f64 (pow.f64 x 3) -729 216) (/.f64 1 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (+.f64 6 (.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36) (fma.f64 (pow.f64 x 3) -729 216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 6 (.f64 9 x)) (-.f64 36 (.f64 (.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 (.f64 x x) 81 (-.f64 36 (.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -729 216)) (neg.f64 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (neg.f64 (+.f64 6 (.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) 81 -36) (fma.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) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36) (fma.f64 (pow.f64 x 3) -729 216)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 6 (.f64 9 x)) (-.f64 36 (.f64 (.f64 x x) 81))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -9 6))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -9 6)))) (sqrt.f64 (log.f64 (fma.f64 x -9 6))))))) (#(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 log.f64 (+.f64 1 (expm1.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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x -9 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x -9 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -9) 1 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x -9)) (cbrt.f64 (.f64 (.f64 x x) 81)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 x x) 81)) (cbrt.f64 (.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -9 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -9 (sqrt.f64 x)) (sqrt.f64 x) 6)))))

simplify201.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

278 → 197

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)

eval727.0ms (8%)

Compiler: Compiled 9311 to 7050 computations (24.3% saved)

prune124.0ms (1.4%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	544	8	552
Fresh	2	3	5
Picked	1	0	1
Done	1	7	8
Total	548	18	566

Error

Counts

566 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.5b	(*.f64 x 6)
	22.7b	(/.f64 (.f64 x 36) (-.f64 6 (.f64 x -9)))
✓	40.5b	(.f64 -9 (.f64 x x))
	23.0b	(*.f64 (pow.f64 (sqrt.f64 6) 2) x)
	23.6b	(-.f64 (/.f64 36 (/.f64 (fma.f64 x -9 6) x)) (/.f64 (.f64 x (.f64 x 81)) (/.f64 (fma.f64 x -9 6) x)))
✓	40.5b	(.f64 (.f64 x -9) x)
	23.0b	(*.f64 (cbrt.f64 216) x)
	44.4b	(pow.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 -9 x) 6))) 2)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	23.3b	(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)
✓	0.2b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
✓	0.2b	(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
	0.3b	(pow.f64 (/.f64 1 (*.f64 x (fma.f64 x -9 6))) -1)
	3.1b	(.f64 (/.f64 (fma.f64 x (.f64 x 81) 36) 1) (/.f64 x (fma.f64 x -9 6)))
	0.5b	(.f64 (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 6 (.f64 x -9))) x)
✓	6.8b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))
	48.0b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (.f64 x 9))
	47.2b	(/.f64 (.f64 -81 (pow.f64 x 3)) (-.f64 6 (.f64 x -9)))

Compiler

Compiled 190 to 144 computations (24.2% saved)

regimes325.0ms (3.6%)

Counts

41 → 1

Calls

Call 1

Inputs
(*.f64 x 6)
(.f64 (.f64 x -9) x)
(.f64 (.f64 -9 x) x)
(.f64 -9 (.f64 x x))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(/.f64 (.f64 x 36) (-.f64 6 (.f64 x -9)))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (.f64 x 9))
(.f64 (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 6 (.f64 x -9))) x)
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))
(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 x (fma.f64 x -9 6))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 (.f64 3 (fma.f64 x -3 2)) x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(/.f64 (.f64 -81 (pow.f64 x 3)) (-.f64 6 (.f64 x -9)))
(pow.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 x -3))) 1)
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -9)) 2) (.f64 (.f64 x x) 36)) (.f64 x (-.f64 (.f64 x -9) 6)))
(.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 x 6)) 3)
(*.f64 (pow.f64 (sqrt.f64 6) 2) x)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 -9 x) 6))) 2)
(pow.f64 (/.f64 1 (*.f64 x (fma.f64 x -9 6))) -1)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 x -3)))) 2)
(.f64 (pow.f64 (sqrt.f64 (+.f64 6 (.f64 (*.f64 x -3) 3))) 2) x)
(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 x -3)))) 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))
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
(pow.f64 (cbrt.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)
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 36) 1) (/.f64 x (fma.f64 x -9 6)))
(-.f64 (/.f64 36 (/.f64 (fma.f64 x -9 6) x)) (/.f64 (.f64 x (.f64 x 81)) (/.f64 (fma.f64 x -9 6) x)))
(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3) (pow.f64 x 3)))

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

Calls

2 calls:

63.0ms	x
60.0ms	(.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 470 to 355 computations (24.5% saved)

regimes53.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 x 6)
(.f64 (.f64 x -9) x)
(.f64 (.f64 -9 x) x)
(.f64 -9 (.f64 x x))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(/.f64 (.f64 x 36) (-.f64 6 (.f64 x -9)))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (.f64 x 9))
(.f64 (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 6 (.f64 x -9))) x)
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))
(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 x (fma.f64 x -9 6))

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

Calls

2 calls:

26.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
18.0ms	x

Results

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

Compiler

Compiled 146 to 100 computations (31.5% saved)

regimes229.0ms (2.5%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 x 6)
(.f64 (.f64 x -9) x)
(.f64 (.f64 -9 x) x)
(.f64 -9 (.f64 x x))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(/.f64 (.f64 x 36) (-.f64 6 (.f64 x -9)))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (.f64 x 9))
(.f64 (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 6 (.f64 x -9))) x)
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (-.f64 6 (.f64 x -9)))
(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
(*.f64 (cbrt.f64 216) x)

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

Calls

2 calls:

175.0ms	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 140 to 96 computations (31.4% saved)

regimes29.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
2.6b	3	`x`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch78.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.3683424085043775e-7	7.781695512722047
50.0ms	-9.700681638242306	-0.11693392808347716

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes180.0ms (2%)

Accuracy

Total -57.8b remaining (-2203%)

Threshold costs -57.8b (-2203%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

178.0ms

Results

Error	Segments	Branch
2.6b	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch60.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	1.3683424085043775e-7	7.781695512722047
31.0ms	-9.700681638242306	-0.11693392808347716

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	93
1	32	93

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(if (<=.f64 x -5460998276403483/562949953421312) (.f64 -9 (.f64 x x)) (if (<=.f64 x 5169451461608157/37778931862957161709568) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -5460998276403483/562949953421312) (.f64 (.f64 x -9) x) (if (<=.f64 x 5169451461608157/37778931862957161709568) (.f64 x 6) (.f64 (*.f64 x -9) x)))
(*.f64 x 6)

Outputs
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -5460998276403483/562949953421312) (.f64 -9 (.f64 x x)) (if (<=.f64 x 5169451461608157/37778931862957161709568) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -5460998276403483/562949953421312) (.f64 (.f64 x -9) x) (if (<=.f64 x 5169451461608157/37778931862957161709568) (.f64 x 6) (.f64 (*.f64 x -9) x)))
(if (<=.f64 x -5460998276403483/562949953421312) (.f64 x (.f64 x -9)) (if (<=.f64 x 5169451461608157/37778931862957161709568) (.f64 x 6) (.f64 x (*.f64 x -9))))
(*.f64 x 6)

Compiler

Compiled 72 to 49 computations (31.9% saved)

soundness148.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 132 to 108 computations (18.2% saved)

end240.0ms (2.6%)

Compiler: Compiled 67 to 44 computations (34.3% saved)