Details

analyze4.0ms (0.1%)

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 (15.8%)

Results

1.1s	7590×	body	256	valid
113.0ms	434×	body	1024	valid
43.0ms	232×	body	512	valid
1.0ms	12×	body	256	invalid

preprocess67.0ms (0.9%)

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)

simplify65.0ms (0.8%)

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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

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	@	inf	(fma.f64 x -9 6)
0.0ms	x	@	0	(fma.f64 x -9 6)

rewrite56.0ms (0.7%)

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)))))))

simplify194.0ms (2.5%)

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)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs
(.f64 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))))))))

simplify162.0ms (2.1%)

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)

prune34.0ms (0.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	105	14	119
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	107	14	121

Error

0.0b

Counts

121 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	37.7b	(cbrt.f64 (.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3) (pow.f64 x 3)))
▶	13.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
	40.0b	(.f64 -9 (.f64 x x))
	0.3b	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
▶	22.6b	(*.f64 x 6)
	37.6b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
	0.2b	(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
▶	40.1b	(.f64 (.f64 3 (*.f64 x -3)) x)
▶	0.2b	(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
	41.2b	(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)
	40.0b	(.f64 (.f64 -9 x) x)
▶	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	8.5b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)

Compiler

Compiled 304 to 244 computations (19.7% saved)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite106.0ms (1.4%)

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	8
1	153	8
2	1860	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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))))))))

simplify200.0ms (2.6%)

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

33 → 26

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))

localize3.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite110.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
591×	`add-log-exp_binary64`
591×	`log1p-expm1-u_binary64`
591×	`expm1-log1p-u_binary64`
580×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	144	11
2	1633	11

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

simplify222.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	14	132
2	23	132
3	42	132
4	102	132
5	321	132
6	1252	132
7	2126	132
8	2290	132
9	2474	132
10	2682	132
11	2978	132
12	3371	132
13	3852	132
14	4418	132
15	5106	132
16	5941	132
17	6333	132
18	6623	132
19	6895	132
20	6967	132
21	7003	132
22	7944	132

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)
✓	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)

series6.0ms (0.1%)

Counts

3 → 3

Calls

9 calls:

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

rewrite181.0ms (2.3%)

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	22
1	197	22
2	2368	22

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

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

simplify205.0ms (2.7%)

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

67 → 67

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))

localize91.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x))))
✓	0.1b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
✓	0.1b	(.f64 3 (-.f64 2 (.f64 3 x)))
✓	0.7b	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)

Compiler

Compiled 49 to 41 computations (16.3% saved)

series19.0ms (0.2%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (.f64 3 x)))) 2)
2.0ms	x	@	0	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
1.0ms	x	@	-inf	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)

rewrite183.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	222	45
2	2444	45

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

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

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	767
1	177	315
2	627	288
3	2181	266
4	6749	262

Stop Event

1×	node limit

Counts

120 → 97

Calls

Call 1

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

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

eval75.0ms (1%)

Compiler: Compiled 2992 to 2311 computations (22.8% saved)

prune82.0ms (1.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	206	9	215
Fresh	6	3	9
Picked	1	0	1
Done	1	3	4
Total	214	15	229

Error

Counts

229 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.0b	(.f64 -9 (.f64 x x))
	0.3b	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
	40.0b	(.f64 (.f64 -9 x) x)
▶	29.7b	(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) 36)) (-.f64 (.f64 -9 (.f64 x x)) (.f64 x 6)))
▶	0.2b	(fma.f64 (.f64 x x) -9 (.f64 x 6))
	0.2b	(pow.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x)) 1)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
▶	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
▶	0.2b	(+.f64 (.f64 6 x) (.f64 -9 (*.f64 x x)))
	8.0b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
	11.8b	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
✓	22.6b	(*.f64 x 6)
	23.1b	(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
	8.5b	(.f64 (cbrt.f64 (pow.f64 (+.f64 6 (.f64 3 (*.f64 x -3))) 3)) x)
✓	40.1b	(.f64 (.f64 3 (*.f64 x -3)) x)

Compiler

Compiled 326 to 249 computations (23.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite153.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
577×	`add-log-exp_binary64`
577×	`log1p-expm1-u_binary64`
577×	`expm1-log1p-u_binary64`
566×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	144	18
2	1593	18

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

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 (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))))))))

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

simplify190.0ms (2.5%)

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

56 → 38

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))

localize4.0ms (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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 6 x) (.f64 -9 (*.f64 x 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	@	inf	(+.f64 (.f64 6 x) (.f64 -9 (*.f64 x x)))
0.0ms	x	@	0	(+.f64 (.f64 6 x) (.f64 -9 (*.f64 x x)))
0.0ms	x	@	-inf	(+.f64 (.f64 6 x) (.f64 -9 (*.f64 x x)))

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
817×	`add-log-exp_binary64`
817×	`log1p-expm1-u_binary64`
817×	`expm1-log1p-u_binary64`
801×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	175	10
2	2275	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify199.0ms (2.6%)

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))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`pow1_binary64`
562×	`add-log-exp_binary64`
562×	`log1p-expm1-u_binary64`
562×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1553	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify193.0ms (2.5%)

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

33 → 26

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))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 x 4) 81)
	0.2b	(.f64 -9 (.f64 x x))
✓	0.2b	(.f64 (.f64 x x) 36)
✓	28.8b	(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) 36)) (-.f64 (.f64 -9 (.f64 x x)) (.f64 x 6)))

Compiler

Compiled 72 to 44 computations (38.9% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) 36)) (-.f64 (.f64 -9 (.f64 x x)) (.f64 x 6)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) 36)) (-.f64 (.f64 -9 (.f64 x x)) (.f64 x 6)))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 4) 81)
0.0ms	x	@	inf	(.f64 (.f64 x x) 36)
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) 36)) (-.f64 (.f64 -9 (.f64 x x)) (.f64 x 6)))

rewrite114.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log-prod_binary64`
474×	`fma-neg_binary64`
291×	`expm1-udef_binary64`
291×	`log1p-udef_binary64`
227×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	385	24
2	5271	24

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) 36)) (-.f64 (.f64 -9 (.f64 x x)) (.f64 x 6)))
(.f64 (.f64 x x) 36)
(*.f64 (pow.f64 x 4) 81)

Outputs

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(*.f64 x x) -9) (cbrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (neg.f64 (*.f64 36 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x -9 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (/.f64 81 (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (neg.f64 (*.f64 36 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x -9 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 81 (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (/.f64 (pow.f64 x 4) (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (neg.f64 (*.f64 36 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x -9 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (/.f64 (*.f64 (pow.f64 x 4) 81) (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (neg.f64 (*.f64 36 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x -9 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 6561 (pow.f64 x 8))) (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (neg.f64 (*.f64 36 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x -9 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (*.f64 x x) -9) (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (/.f64 (*.f64 (*.f64 x x) -9) (sqrt.f64 (*.f64 x (fma.f64 x -9 -6)))) (neg.f64 (*.f64 36 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x -9 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (pow.f64 x 4) 81) (-.f64 (*.f64 -729 (pow.f64 x 6)) (*.f64 (pow.f64 x 3) 216))) (+.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (*.f64 x 6) (*.f64 x (+.f64 (*.f64 x -9) 6)))) (neg.f64 (*.f64 36 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x -9 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (pow.f64 x 4) 81) (fma.f64 (pow.f64 x 4) 81 (*.f64 (*.f64 x x) -36))) (*.f64 x (+.f64 (*.f64 x -9) 6)) (neg.f64 (*.f64 36 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x -9 -6))))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 81))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 81) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 6561 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) 81)) 1))))))

simplify262.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1076×	`sqr-pow_binary64`
664×	`pow-sqr_binary64`
501×	`associate-l_binary64`
496×	`cube-prod_binary64`
403×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	285
1	28	285
2	55	276
3	135	258
4	419	258
5	1543	258
6	2432	258
7	2576	258
8	2766	258
9	2977	258
10	3256	258
11	3623	258
12	4092	258
13	4623	258
14	5247	258
15	6000	258
16	6308	258
17	6532	258
18	6730	258
19	6786	258
20	6810	258
21	7644	258

Stop Event

1×	node limit

Counts

145 → 117

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 (.f64 x x) 36)
(.f64 x (.f64 x 36))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))

eval147.0ms (1.9%)

Compiler: Compiled 4575 to 3197 computations (30.1% saved)

prune50.0ms (0.6%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	263	2	265
Fresh	0	7	7
Picked	0	1	1
Done	0	7	7
Total	263	17	280

Error

Counts

280 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.0b	(.f64 -9 (.f64 x x))
	0.3b	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
▶	40.0b	(.f64 (.f64 -9 x) x)
✓	29.7b	(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) 36)) (-.f64 (.f64 -9 (.f64 x x)) (.f64 x 6)))
✓	0.2b	(fma.f64 (.f64 x x) -9 (.f64 x 6))
	0.2b	(pow.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x)) 1)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
✓	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
✓	0.2b	(+.f64 (.f64 6 x) (.f64 -9 (*.f64 x x)))
▶	8.0b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
	11.8b	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
▶	0.2b	(pow.f64 (/.f64 1 (.f64 x (+.f64 (.f64 x -9) 6))) -1)
✓	22.6b	(*.f64 x 6)
▶	23.1b	(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
	8.5b	(.f64 (cbrt.f64 (pow.f64 (+.f64 6 (.f64 3 (*.f64 x -3))) 3)) x)
▶	29.7b	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -9)) (.f64 x (.f64 x -9))) (.f64 (.f64 x x) 36)) (-.f64 (.f64 x (.f64 x -9)) (.f64 x 6)))
✓	40.1b	(.f64 (.f64 3 (*.f64 x -3)) x)

Compiler

Compiled 350 to 269 computations (23.1% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (+.f64 (.f64 x -9) 6))
✓	0.2b	(pow.f64 (/.f64 1 (.f64 x (+.f64 (.f64 x -9) 6))) -1)
✓	0.2b	(/.f64 1 (.f64 x (+.f64 (.f64 x -9) 6)))

Compiler

Compiled 41 to 32 computations (22% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (/.f64 1 (.f64 x (+.f64 (.f64 x -9) 6))) -1)
1.0ms	x	@	-inf	(pow.f64 (/.f64 1 (.f64 x (+.f64 (.f64 x -9) 6))) -1)
1.0ms	x	@	0	(pow.f64 (/.f64 1 (.f64 x (+.f64 (.f64 x -9) 6))) -1)
1.0ms	x	@	inf	(/.f64 1 (.f64 x (+.f64 (.f64 x -9) 6)))
0.0ms	x	@	0	(/.f64 1 (.f64 x (+.f64 (.f64 x -9) 6)))

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`log-prod_binary64`
341×	`exp-prod_binary64`
313×	`prod-diff_binary64`
275×	`pow-prod-down_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	241	27
2	2977	27

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-neg_binary64`
887×	`times-frac_binary64`
532×	`associate-*l/_binary64`
472×	`associate-/l/_binary64`
468×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	450
1	129	438
2	328	420
3	995	381
4	2997	381

Stop Event

1×	node limit

Counts

241 → 161

Calls

Call 1

Inputs
(/.f64 1/6 x)
(+.f64 1/4 (*.f64 1/6 (/.f64 1 x)))
(+.f64 1/4 (+.f64 (.f64 3/8 x) (.f64 1/6 (/.f64 1 x))))
(+.f64 1/4 (+.f64 (.f64 9/16 (pow.f64 x 2)) (+.f64 (.f64 3/8 x) (*.f64 1/6 (/.f64 1 x)))))
(/.f64 -1/9 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (.f64 2/27 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (*.f64 4/81 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (.f64 4/81 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -1/9 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (.f64 2/27 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (*.f64 4/81 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (.f64 4/81 (/.f64 1 (pow.f64 x 4)))))))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.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 1/6 x)
(+.f64 1/4 (*.f64 1/6 (/.f64 1 x)))
(+.f64 1/4 (/.f64 1/6 x))
(+.f64 1/4 (+.f64 (.f64 3/8 x) (.f64 1/6 (/.f64 1 x))))
(+.f64 1/4 (fma.f64 3/8 x (/.f64 1/6 x)))
(+.f64 1/4 (fma.f64 x 3/8 (/.f64 1/6 x)))
(+.f64 (/.f64 1/6 x) (fma.f64 x 3/8 1/4))
(+.f64 1/4 (+.f64 (.f64 9/16 (pow.f64 x 2)) (+.f64 (.f64 3/8 x) (*.f64 1/6 (/.f64 1 x)))))
(+.f64 1/4 (fma.f64 9/16 (*.f64 x x) (fma.f64 3/8 x (/.f64 1/6 x))))
(+.f64 1/4 (fma.f64 9/16 (*.f64 x x) (fma.f64 x 3/8 (/.f64 1/6 x))))
(+.f64 1/4 (fma.f64 x 3/8 (fma.f64 9/16 (*.f64 x x) (/.f64 1/6 x))))
(+.f64 1/4 (fma.f64 x (fma.f64 x 9/16 3/8) (/.f64 1/6 x)))
(+.f64 (/.f64 1/6 x) (fma.f64 x (fma.f64 x 9/16 3/8) 1/4))
(/.f64 -1/9 (pow.f64 x 2))
(/.f64 -1/9 (*.f64 x x))
(neg.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (.f64 2/27 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 (pow.f64 x 3))))
(-.f64 (/.f64 -1/9 (*.f64 x x)) (/.f64 2/27 (pow.f64 x 3)))
(+.f64 (/.f64 -2/27 (pow.f64 x 3)) (/.f64 -1/9 (*.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 -2/27 x) 1/9))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (*.f64 4/81 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 2/27 (pow.f64 x 3)) (+.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 4/81 (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 -1/9 (*.f64 x x)) (/.f64 2/27 (pow.f64 x 3))) (/.f64 4/81 (pow.f64 x 4)))
(-.f64 (/.f64 -2/27 (pow.f64 x 3)) (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 -4/81 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -2/27 (pow.f64 x 3)) (/.f64 -1/9 (*.f64 x x))) (/.f64 -4/81 (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 -2/27 x) 1/9)) (/.f64 -4/81 (pow.f64 x 4)))
(neg.f64 (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (.f64 4/81 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2/27 (pow.f64 x 3)) (+.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 4/81 (pow.f64 x 4)))) (/.f64 8/243 (pow.f64 x 5))))
(+.f64 (-.f64 (-.f64 (/.f64 -1/9 (*.f64 x x)) (/.f64 2/27 (pow.f64 x 3))) (/.f64 4/81 (pow.f64 x 4))) (/.f64 -8/243 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -2/27 (pow.f64 x 3)) (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 -4/81 (pow.f64 x 4)))) (/.f64 -8/243 (pow.f64 x 5)))
(-.f64 (/.f64 -2/27 (pow.f64 x 3)) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 (/.f64 4/81 (pow.f64 x 4)) (/.f64 8/243 (pow.f64 x 5)))))
(+.f64 (.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 -2/27 x) 1/9)) (+.f64 (/.f64 -8/243 (pow.f64 x 5)) (/.f64 -4/81 (pow.f64 x 4))))
(/.f64 -1/9 (pow.f64 x 2))
(/.f64 -1/9 (*.f64 x x))
(neg.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (.f64 2/27 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 (pow.f64 x 3))))
(-.f64 (/.f64 -1/9 (*.f64 x x)) (/.f64 2/27 (pow.f64 x 3)))
(+.f64 (/.f64 -2/27 (pow.f64 x 3)) (/.f64 -1/9 (*.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 -2/27 x) 1/9))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (*.f64 4/81 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 2/27 (pow.f64 x 3)) (+.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 4/81 (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 -1/9 (*.f64 x x)) (/.f64 2/27 (pow.f64 x 3))) (/.f64 4/81 (pow.f64 x 4)))
(-.f64 (/.f64 -2/27 (pow.f64 x 3)) (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 -4/81 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -2/27 (pow.f64 x 3)) (/.f64 -1/9 (*.f64 x x))) (/.f64 -4/81 (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 -2/27 x) 1/9)) (/.f64 -4/81 (pow.f64 x 4)))
(neg.f64 (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 2))) (.f64 4/81 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2/27 (pow.f64 x 3)) (+.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 4/81 (pow.f64 x 4)))) (/.f64 8/243 (pow.f64 x 5))))
(+.f64 (-.f64 (-.f64 (/.f64 -1/9 (*.f64 x x)) (/.f64 2/27 (pow.f64 x 3))) (/.f64 4/81 (pow.f64 x 4))) (/.f64 -8/243 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -2/27 (pow.f64 x 3)) (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 -4/81 (pow.f64 x 4)))) (/.f64 -8/243 (pow.f64 x 5)))
(-.f64 (/.f64 -2/27 (pow.f64 x 3)) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 (/.f64 4/81 (pow.f64 x 4)) (/.f64 8/243 (pow.f64 x 5)))))
(+.f64 (.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 -2/27 x) 1/9)) (+.f64 (/.f64 -8/243 (pow.f64 x 5)) (/.f64 -4/81 (pow.f64 x 4))))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`pow1_binary64`
434×	`add-sqr-sqrt_binary64`
425×	`*-un-lft-identity_binary64`
416×	`add-log-exp_binary64`
416×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1143	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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 (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 (sqrt.f64 -9) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 -9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -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))))))))

simplify185.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x -9))
	0.2b	(.f64 (.f64 x x) 36)
✓	0.2b	(.f64 (.f64 x (.f64 x -9)) (.f64 x (*.f64 x -9)))
✓	28.8b	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -9)) (.f64 x (.f64 x -9))) (.f64 (.f64 x x) 36)) (-.f64 (.f64 x (.f64 x -9)) (.f64 x 6)))

Compiler

Compiled 88 to 54 computations (38.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite133.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`log-prod_binary64`
575×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
219×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	345	24
2	5158	24

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify217.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1319×	`sqr-pow_binary64`
659×	`pow-sqr_binary64`
493×	`cube-prod_binary64`
428×	`associate-l_binary64`
403×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	285
1	25	285
2	48	276
3	115	258
4	355	258
5	1359	258
6	2225	258
7	2374	258
8	2547	258
9	2746	258
10	3019	258
11	3376	258
12	3825	258
13	4358	258
14	4982	258
15	5731	258
16	6041	258
17	6269	258
18	6467	258
19	6523	258
20	6547	258
21	7381	258

Stop Event

1×	node limit

Counts

160 → 130

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 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.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 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (sqrt.f64 3) 2) x)
✓	1.0b	(pow.f64 (sqrt.f64 3) 2)

Compiler

Compiled 24 to 21 computations (12.5% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

3 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`pow1_binary64`
463×	`add-sqr-sqrt_binary64`
453×	`*-un-lft-identity_binary64`
440×	`add-log-exp_binary64`
439×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	146	5
2	1270	5

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 3)))))

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

12 → 12

Calls

Call 1

Inputs

Outputs

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -9 x -6)
✓	0.1b	(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)
✓	0.3b	(pow.f64 (*.f64 -9 x) 2)
✓	7.4b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))

Compiler

Compiled 48 to 38 computations (20.8% saved)

series52.0ms (0.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	x	@	-inf	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
1.0ms	x	@	-inf	(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)
0.0ms	x	@	inf	(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)

rewrite118.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	268	41
2	3323	41

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

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

simplify220.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	372
1	45	372
2	80	363
3	171	345
4	457	345
5	1760	345
6	3312	345
7	3518	345
8	3768	345
9	4055	345
10	4434	345
11	4953	345
12	5569	345
13	6275	345
14	6748	345
15	7069	345
16	7339	345
17	7511	345
18	7603	345

Stop Event

1×	node limit

Counts

178 → 147

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

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

eval366.0ms (4.7%)

Compiler: Compiled 9795 to 6941 computations (29.1% saved)

prune241.0ms (3.1%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	511	6	517
Fresh	3	1	4
Picked	1	0	1
Done	4	8	12
Total	519	15	534

Error

Counts

534 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.0b	(.f64 -9 (.f64 x x))
	0.3b	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (*.f64 x x)))))) x)
✓	0.2b	(fma.f64 (.f64 x x) -9 (.f64 x 6))
	8.0b	(/.f64 (.f64 (+.f64 (.f64 (*.f64 x x) 81) -36) x) (fma.f64 -9 x -6))
	29.5b	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -9)) (.f64 x (.f64 x -9))) (.f64 x (.f64 x 36))) (-.f64 (.f64 x (.f64 x -9)) (.f64 x 6)))
✓	40.1b	(.f64 (.f64 3 (*.f64 x -3)) x)
✓	22.6b	(*.f64 x 6)
	22.7b	(/.f64 (*.f64 x -36) (fma.f64 -9 x -6))
	22.7b	(pow.f64 (/.f64 1/6 x) -1)
✓	29.7b	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -9)) (.f64 x (.f64 x -9))) (.f64 (.f64 x x) 36)) (-.f64 (.f64 x (.f64 x -9)) (.f64 x 6)))
✓	40.0b	(.f64 (.f64 -9 x) x)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	0.3b	(/.f64 x (/.f64 1 (fma.f64 x -9 6)))
	40.1b	(pow.f64 (/.f64 -1/9 (*.f64 x x)) -1)
✓	0.2b	(+.f64 (.f64 6 x) (.f64 -9 (*.f64 x x)))

Compiler

Compiled 174 to 126 computations (27.6% saved)

regimes119.0ms (1.5%)

Counts

33 → 1

Calls

Call 1

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

Calls

2 calls:

31.0ms	x
30.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 385 to 281 computations (27% saved)

regimes199.0ms (2.6%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
17.0ms	(.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 182 to 123 computations (32.4% saved)

regimes21.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch191.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
147.0ms	0.06185657187349748	3844635467.1486115
44.0ms	-7.202409520586058	-0.3039628827436206

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes17.0ms (0.2%)

Accuracy

Total -59.1b remaining (-3399.5%)

Threshold costs -59.1b (-3399.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch56.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.06185657187349748	3844635467.1486115
28.0ms	-7.202409520586058	-0.3039628827436206

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	85
1	27	85

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(if (<=.f64 x -8109192208270271/1125899906842624) (.f64 (.f64 -9 x) x) (if (<=.f64 x 4457235744638393/72057594037927936) (.f64 x 6) (.f64 (*.f64 -9 x) x)))
(if (<=.f64 x -8109192208270271/1125899906842624) (.f64 -9 (.f64 x x)) (if (<=.f64 x 4457235744638393/72057594037927936) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(*.f64 x 6)

Outputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -8109192208270271/1125899906842624) (.f64 (.f64 -9 x) x) (if (<=.f64 x 4457235744638393/72057594037927936) (.f64 x 6) (.f64 (*.f64 -9 x) x)))
(if (<=.f64 x -8109192208270271/1125899906842624) (.f64 x (.f64 x -9)) (if (<=.f64 x 4457235744638393/72057594037927936) (.f64 x 6) (.f64 x (*.f64 x -9))))
(if (<=.f64 x -8109192208270271/1125899906842624) (.f64 -9 (.f64 x x)) (if (<=.f64 x 4457235744638393/72057594037927936) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(*.f64 x 6)

Compiler

Compiled 65 to 44 computations (32.3% saved)

soundness0.0ms (0%)

end174.0ms (2.2%)

Compiler: Compiled 61 to 39 computations (36.1% saved)