Details

analyze10.0ms (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)

sample2.1s (20.9%)

Results

1.8s	7544×	body	256	valid
195.0ms	464×	body	1024	valid
75.0ms	248×	body	512	valid
1.0ms	8×	body	256	invalid

preprocess73.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

series4.0ms (0%)

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)

rewrite76.0ms (0.8%)

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)))))))

simplify212.0ms (2.1%)

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)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

series12.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
1.0ms	x	@	-inf	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
1.0ms	x	@	inf	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
0.0ms	x	@	0	(.f64 3 (-.f64 2 (.f64 x 3)))
0.0ms	x	@	inf	(.f64 3 (-.f64 2 (.f64 x 3)))

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

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

Outputs

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

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

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

simplify187.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

94 → 75

Calls

Call 1

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

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

eval68.0ms (0.7%)

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

prune101.0ms (1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	104	16	120
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	106	16	122

Error

0.0b

Counts

122 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	8.5b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
	0.2b	(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
	1.7b	(.f64 (.f64 3 (.f64 (pow.f64 (cbrt.f64 (-.f64 2 (.f64 3 x))) 2) (cbrt.f64 (-.f64 2 (*.f64 3 x))))) x)
	8.8b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
	43.0b	(cbrt.f64 (.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3) (pow.f64 x 3)))
▶	42.9b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
▶	19.0b	(*.f64 x 6)
▶	42.7b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
	0.5b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) 36) (-.f64 (*.f64 x -9) 6)))
	1.4b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
	0.2b	(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
▶	0.3b	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
	43.8b	(*.f64 -9 (pow.f64 x 2))
	43.8b	(.f64 (.f64 x -9) x)
▶	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	8.0b	(.f64 (/.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))) x)

Compiler

Compiled 408 to 330 computations (19.1% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0%)

Counts

2 → 21

Calls

6 calls:

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

rewrite143.0ms (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	13
1	153	13
2	1860	13

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify212.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 62

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 70 to 47 computations (32.9% saved)

series13.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
1.0ms	x	@	0	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
1.0ms	x	@	inf	(.f64 9 (.f64 x x))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (.f64 3 x)))
1.0ms	x	@	inf	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)

rewrite158.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`log-prod_binary64`
440×	`prod-diff_binary64`
266×	`fma-def_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	315	43
2	4218	41

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 729 (pow.f64 (.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 729 (pow.f64 (.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 exp.f64 (.f64 (log.f64 (.f64 9 (*.f64 x x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (+.f64 2 (.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 3 (+.f64 2 (.f64 -3 x))))) (cbrt.f64 (exp.f64 (.f64 3 (+.f64 2 (.f64 -3 x))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (+.f64 2 (.f64 -3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (.f64 (fma.f64 x 3 2) 1/3)) (/.f64 (.f64 9 (.f64 x x)) (.f64 (fma.f64 x 3 2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -9 4) (/.f64 1 (.f64 (fma.f64 x 3 2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -9 4) (.f64 3 (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify225.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	360
1	32	342
2	55	315
3	105	315
4	277	315
5	867	315
6	1203	315
7	1642	315
8	1745	315
9	1879	315
10	2048	315
11	2289	315
12	2604	315
13	2976	315
14	3432	315
15	4015	315
16	4725	315
17	5581	315
18	6005	315
19	6321	315
20	6629	315
21	6709	315
22	6743	315

Stop Event

1×	node limit

Counts

165 → 136

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))
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)))
12
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(*.f64 -27 (pow.f64 x 2))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(*.f64 -27 (pow.f64 x 2))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (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))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 (.f64 x x) -9))
(*.f64 x (fma.f64 x -9 6))
12
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 (.f64 x x) -27))
(fma.f64 (*.f64 x x) -27 12)
(fma.f64 x (*.f64 x -27) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 (.f64 x x) -27))
(fma.f64 (*.f64 x x) -27 12)
(fma.f64 x (*.f64 x -27) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 (.f64 x x) -27))
(fma.f64 (*.f64 x x) -27 12)
(fma.f64 x (*.f64 x -27) 12)
(*.f64 -27 (pow.f64 x 2))
(.f64 (.f64 x x) -27)
(.f64 x (.f64 x -27))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 (.f64 x x) -27))
(fma.f64 (*.f64 x x) -27 12)
(fma.f64 x (*.f64 x -27) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 (.f64 x x) -27))
(fma.f64 (*.f64 x x) -27 12)
(fma.f64 x (*.f64 x -27) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 (.f64 x x) -27))
(fma.f64 (*.f64 x x) -27 12)
(fma.f64 x (*.f64 x -27) 12)
(*.f64 -27 (pow.f64 x 2))
(.f64 (.f64 x x) -27)
(.f64 x (.f64 x -27))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 (.f64 x x) -27))
(fma.f64 (*.f64 x x) -27 12)
(fma.f64 x (*.f64 x -27) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 (.f64 x x) -27))
(fma.f64 (*.f64 x x) -27 12)
(fma.f64 x (*.f64 x -27) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 (.f64 x x) -27))
(fma.f64 (*.f64 x x) -27 12)
(fma.f64 x (*.f64 x -27) 12)

localize71.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 3 (-.f64 2 (.f64 3 x)))
✓	0.1b	(.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))
✓	0.2b	(pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3)
✓	42.0b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))

Compiler

Compiled 51 to 41 computations (19.6% saved)

series14.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
3.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3))
1.0ms	x	@	0	(pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3)
1.0ms	x	@	inf	(pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3)
1.0ms	x	@	-inf	(pow.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))) 3)

rewrite205.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`pow1_binary64`
921×	`add-log-exp_binary64`
920×	`log1p-expm1-u_binary64`
920×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	227	52
2	2591	52

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

578×	`distribute-rgt-out_binary64`
492×	`unswap-sqr_binary64`
453×	`associate-l_binary64`
441×	`*-commutative_binary64`
441×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	533
1	101	524
2	229	470
3	658	459
4	2580	455
5	4826	455
6	5124	455
7	5580	455
8	6406	455
9	7345	455

Stop Event

1×	node limit

Counts

154 → 118

Calls

Call 1

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

localize69.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 40 computations (20% saved)

series15.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))))
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
1.0ms	x	@	inf	(sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))))

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	223	28
2	2476	28

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

939×	`associate-/l*_binary64`
475×	`fma-neg_binary64`
415×	`fma-def_binary64`
378×	`associate-*l/_binary64`
283×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	498
1	244	340
2	937	314
3	3285	302

Stop Event

1×	node limit

Counts

85 → 94

Calls

Call 1

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

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

eval280.0ms (2.8%)

Compiler: Compiled 7016 to 5629 computations (19.8% saved)

prune137.0ms (1.4%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	426	9	435
Fresh	7	4	11
Picked	1	0	1
Done	1	3	4
Total	435	16	451

Error

Counts

451 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(+.f64 (.f64 6 x) (.f64 (.f64 x 3) (.f64 x -3)))
	43.1b	(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
	43.8b	(.f64 (/.f64 (.f64 x (.f64 x -27)) (+.f64 2 (.f64 3 x))) x)
	8.8b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
	8.0b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
	0.3b	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
✓	0.3b	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
	43.8b	(*.f64 -9 (pow.f64 x 2))
▶	0.3b	(/.f64 x (/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x)))))
	34.8b	(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) (+.f64 2 (*.f64 x -3))))
▶	43.8b	(.f64 (.f64 x -9) x)
✓	19.0b	(*.f64 x 6)
▶	0.3b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
▶	48.2b	(cbrt.f64 (pow.f64 (*.f64 x 6) 3))
▶	1.4b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)

Compiler

Compiled 312 to 249 computations (20.2% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 x (+.f64 2 (.f64 x -3)))
1.0ms	x	@	0	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
0.0ms	x	@	inf	(+.f64 2 (*.f64 x -3))
0.0ms	x	@	-inf	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
0.0ms	x	@	0	(+.f64 2 (*.f64 x -3))

rewrite107.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify212.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

108 → 88

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify193.0ms (1.9%)

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))

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 -3 x))
✓	0.1b	(/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x))))
✓	0.1b	(.f64 3 (+.f64 2 (.f64 -3 x)))
✓	0.3b	(/.f64 x (/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x)))))

Compiler

Compiled 41 to 34 computations (17.1% saved)

series11.0ms (0.1%)

Counts

4 → 42

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(+.f64 2 (*.f64 -3 x))
1.0ms	x	@	inf	(/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x))))
1.0ms	x	@	0	(/.f64 x (/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x)))))
0.0ms	x	@	0	(/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x))))
0.0ms	x	@	inf	(+.f64 2 (*.f64 -3 x))

rewrite208.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
402×	`exp-prod_binary64`
281×	`pow-prod-down_binary64`
279×	`pow2_binary64`
195×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	248	30
2	3147	26

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 6 x) (.f64 (.f64 x -9) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 6) (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -9 6) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2) (cbrt.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) (sqrt.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 x (pow.f64 (fma.f64 x -9 6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 x (/.f64 1 (cbrt.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (cbrt.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 x -9 6) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x -9 6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 x -3 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x -1) (neg.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1/3) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 3) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -9 6) 2))) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (fma.f64 x -9 6))) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 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 (pow.f64 (.f64 x (fma.f64 x -9 6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 x (fma.f64 x -9 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (.f64 x (fma.f64 x -9 6))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 x -9 6) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (fma.f64 x -9 6)) (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 x)) 2)))) (#(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 neg.f64 (/.f64 x (/.f64 -1 (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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))) -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 fma.f64 x 6 (.f64 x (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (.f64 (*.f64 x -9) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 6 (.f64 (.f64 x -9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x -3 2)) 2)) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -9 6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (fma.f64 x -9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -3 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x -9 6)) (pow.f64 (fma.f64 x -9 6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x -9 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (pow.f64 (.f64 x -9) 3)) (+.f64 36 (-.f64 (pow.f64 (.f64 x -9) 2) (.f64 6 (.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (pow.f64 (.f64 x -9) 2)) (-.f64 6 (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 x 3) -27 8) 3) (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 (.f64 x x) 9)) 3) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (fma.f64 (pow.f64 x 3) -27 8)) (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 4 (.f64 (.f64 x x) 9))) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x -9 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (fma.f64 x -9 6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -9 6))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -9 6)))) (sqrt.f64 (log.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x -9 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x -9 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -9 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 x -3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (.f64 x 3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -3) 3 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x -3)) 2) (.f64 (cbrt.f64 (.f64 x -3)) 3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -3)) (.f64 (sqrt.f64 (.f64 x -3)) 3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) 2) (cbrt.f64 (.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 x) -3 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 x -3)) 2)) (cbrt.f64 (.f64 x -3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 (.f64 x -3))) (sqrt.f64 (*.f64 x -3)) 6)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (fma.f64 x -9 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 (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x -9 6) -1/2) (pow.f64 (fma.f64 x -9 6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 -1 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 1 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x -3 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (fma.f64 (pow.f64 x 3) -27 8)) (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (-.f64 4 (.f64 (.f64 x x) 9))) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 x -9 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -9 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x -9 6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x -9 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -3 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 2 (.f64 3 x))) (/.f64 (.f64 (.f64 x x) 9) (+.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -3 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -3 2)) (pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 2) (cbrt.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -3 2)) (sqrt.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -27 8) (/.f64 1 (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (.f64 (.f64 x x) 9)) (/.f64 1 (+.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4) (fma.f64 (pow.f64 x 3) -27 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 (.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 (.f64 x x) 9 (-.f64 4 (.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -27 8)) (neg.f64 (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (.f64 (.f64 x x) 9))) (neg.f64 (+.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) 9 -4) (fma.f64 x -3 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4) (fma.f64 (pow.f64 x 3) -27 8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 (.f64 x x) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -3 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -3 2)))) (sqrt.f64 (log.f64 (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -3 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x -3 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x -3 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -3 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -3 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -3) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x -3)) (pow.f64 (cbrt.f64 (.f64 x -3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x -3)) 2) (cbrt.f64 (.f64 x -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -3)) (sqrt.f64 (.f64 x -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (sqrt.f64 x)) (sqrt.f64 x) 2)))))

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

651×	`fma-neg_binary64`
492×	`times-frac_binary64`
421×	`fma-def_binary64`
342×	`associate-*l/_binary64`
338×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	390
1	137	376
2	335	346
3	974	339
4	2881	339
5	7314	339

Stop Event

1×	node limit

Counts

262 → 247

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

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

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x 6) 3)
✓	36.6b	(cbrt.f64 (pow.f64 (*.f64 x 6) 3))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series43.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	inf	(pow.f64 (*.f64 x 6) 3)
3.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 x 6) 3))
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x 6) 3))
1.0ms	x	@	-inf	(pow.f64 (*.f64 x 6) 3)
1.0ms	x	@	0	(pow.f64 (*.f64 x 6) 3)

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify199.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

75 → 54

Calls

Call 1

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

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

localize83.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 3 (-.f64 2 (.f64 3 x)))
	0.1b	(.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))
✓	0.6b	(cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)

Compiler

Compiled 50 to 40 computations (20% saved)

series55.0ms (0.5%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
1.0ms	x	@	0	(cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))))
1.0ms	x	@	inf	(cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x)))))

rewrite128.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	225	28
2	2527	28

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

71 → 71

Calls

Call 1

Inputs

Outputs

eval595.0ms (5.9%)

Compiler: Compiled 6508 to 5142 computations (21% saved)

prune249.0ms (2.5%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	489	9	498
Fresh	6	2	8
Picked	1	0	1
Done	2	5	7
Total	498	16	514

Error

Counts

514 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(.f64 (/.f64 (.f64 x (.f64 x -27)) (+.f64 2 (.f64 3 x))) x)
▶	19.6b	(*.f64 x (pow.f64 216 1/3))
	18.8b	(/.f64 x (+.f64 1/6 (*.f64 1/4 x)))
✓	43.8b	(.f64 (.f64 x -9) x)
▶	19.1b	(/.f64 x 1/6)
✓	19.0b	(*.f64 x 6)
✓	0.3b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
▶	43.9b	(.f64 (.f64 x (*.f64 x -3)) 3)
▶	0.3b	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	43.8b	(/.f64 x (/.f64 -1/9 x))
	50.5b	(sqrt.f64 (.f64 36 (.f64 x x)))
	43.1b	(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
	19.9b	(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)
▶	0.3b	(+.f64 (.f64 6 x) (.f64 (.f64 x 3) (.f64 x -3)))
✓	0.3b	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)

Compiler

Compiled 224 to 171 computations (23.7% saved)

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 6 x) (.f64 (.f64 x 3) (.f64 x -3)))
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x -3))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 6 x) (.f64 (.f64 x 3) (.f64 x -3)))
0.0ms	x	@	0	(.f64 (.f64 x 3) (*.f64 x -3))
0.0ms	x	@	inf	(.f64 (.f64 x 3) (*.f64 x -3))
0.0ms	x	@	-inf	(+.f64 (.f64 6 x) (.f64 (.f64 x 3) (.f64 x -3)))
0.0ms	x	@	0	(+.f64 (.f64 6 x) (.f64 (.f64 x 3) (.f64 x -3)))

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
882×	`add-log-exp_binary64`
882×	`log1p-expm1-u_binary64`
882×	`expm1-log1p-u_binary64`
107×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	216	17
2	2830	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify194.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

76 → 58

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 x 1/6)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 x 1/6)
0.0ms	x	@	0	(/.f64 x 1/6)
0.0ms	x	@	inf	(/.f64 x 1/6)

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`pow1_binary64`
396×	`add-sqr-sqrt_binary64`
380×	`*-un-lft-identity_binary64`
377×	`add-log-exp_binary64`
377×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	88	4
2	1023	4

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(/.f64 x 1/6)

Outputs

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

51 → 39

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series12.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(.f64 (.f64 x (*.f64 x -3)) 3)
1.0ms	x	@	0	(.f64 x (.f64 x -3))
1.0ms	x	@	inf	(.f64 x (.f64 x -3))
1.0ms	x	@	0	(.f64 (.f64 x (*.f64 x -3)) 3)
1.0ms	x	@	inf	(.f64 (.f64 x (*.f64 x -3)) 3)

rewrite264.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`pow1_binary64`
578×	`add-log-exp_binary64`
578×	`log1p-expm1-u_binary64`
578×	`expm1-log1p-u_binary64`
568×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	14
2	1599	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify219.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	15	168
2	30	168
3	62	168
4	160	168
5	503	168
6	692	168
7	1106	168
8	1206	168
9	1341	168
10	1513	168
11	1756	168
12	2073	168
13	2443	168
14	2899	168
15	3486	168
16	4192	168
17	5050	168
18	5478	168
19	5792	168
20	6098	168
21	6176	168
22	6212	168

Stop Event

1×	node limit

Counts

46 → 26

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

localize42.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
1.0ms	x	@	0	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
0.0ms	x	@	inf	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`pow1_binary64`
776×	`add-log-exp_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
764×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	193	11
2	2407	11

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify252.0ms (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

31 → 24

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))

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (pow.f64 216 1/3))
✓	1.0b	(pow.f64 216 1/3)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series11.0ms (0.1%)

Counts

2 → 12

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(*.f64 x (pow.f64 216 1/3))
1.0ms	x	@	inf	(*.f64 x (pow.f64 216 1/3))
1.0ms	x	@	-inf	(*.f64 x (pow.f64 216 1/3))

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`pow1_binary64`
490×	`add-sqr-sqrt_binary64`
470×	`add-log-exp_binary64`
470×	`log1p-expm1-u_binary64`
470×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	128	9
2	1305	9

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs
(pow.f64 216 1/3)
(*.f64 x (pow.f64 216 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 216)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 216) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 216))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 216)) (cbrt.f64 (cbrt.f64 46656)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 46656)) (cbrt.f64 (cbrt.f64 216)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 216 1/6) (pow.f64 216 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 46656))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 216)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 216)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 216)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 216)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 216)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 216) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 216) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 216 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 216) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 216) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 46656)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 216)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 216 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 216) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 216) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 216) x)))))))

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	6	72

Stop Event

1×

saturated

Counts

35 → 24

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)

Outputs
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)
(*.f64 (cbrt.f64 216) x)

eval106.0ms (1%)

Compiler: Compiled 2307 to 1745 computations (24.4% saved)

prune100.0ms (1%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	3	3	6
Picked	0	1	1
Done	3	6	9
Total	211	14	225

Error

Counts

225 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	18.8b	(/.f64 x (+.f64 1/6 (*.f64 1/4 x)))
✓	43.8b	(.f64 (.f64 x -9) x)
✓	19.1b	(/.f64 x 1/6)
✓	19.0b	(*.f64 x 6)
	0.2b	(+.f64 (.f64 6 x) (.f64 -9 (*.f64 x x)))
	43.9b	(.f64 (.f64 x -3) (*.f64 x 3))
	50.5b	(sqrt.f64 (.f64 (.f64 x x) 36))
	43.8b	(/.f64 x (/.f64 -1/9 x))
	19.1b	(pow.f64 (/.f64 1/6 x) -1)
	19.9b	(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)
✓	19.6b	(*.f64 x (pow.f64 216 1/3))
✓	0.3b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
✓	0.3b	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)

Compiler

Compiled 108 to 82 computations (24.1% saved)

regimes139.0ms (1.4%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

2 calls:

73.0ms	x
42.0ms	(.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 393 to 299 computations (23.9% saved)

regimes35.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

Inputs
(/.f64 x 1/6)
(*.f64 x 6)
(/.f64 x (/.f64 -1/9 x))
(.f64 (.f64 x -9) x)
(.f64 (.f64 x -3) (*.f64 x 3))
(/.f64 x (+.f64 1/6 (*.f64 1/4 x)))
(.f64 (.f64 x (*.f64 x -3)) 3)

Outputs
(.f64 (.f64 x -9) x)
(/.f64 x (+.f64 1/6 (*.f64 1/4 x)))
(/.f64 x (/.f64 -1/9 x))

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 40 to 27 computations (32.5% saved)

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.3738252580529614e-6	2015.3503017544597
28.0ms	-2.323917429247241	-0.0003844672967310156

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes30.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 x -9) x)
(*.f64 x 6)
(/.f64 x (/.f64 -1/9 x))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
2.2b	3	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch71.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1.3738252580529614e-6	2015.3503017544597
39.0ms	-2.323917429247241	-0.0003844672967310156

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes79.0ms (0.8%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(/.f64 x (/.f64 -1/9 x))
(*.f64 x 6)
(/.f64 x (/.f64 -1/9 x))

Calls

1 calls:

77.0ms

Results

Error	Segments	Branch
2.3b	3	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch192.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
143.0ms	1.3738252580529614e-6	2015.3503017544597
49.0ms	-2.323917429247241	-0.0003844672967310156

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.7%)

Threshold costs -0.1b (-0.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 x 1/6)
(*.f64 x 6)

Outputs
(*.f64 x 6)

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
19.0b	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	114
1	36	114

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -9 x) 6) x)
(if (<=.f64 x -2616498417099419/1125899906842624) (.f64 (.f64 x -9) x) (if (<=.f64 x 3243853175974523/2361183241434822606848) (/.f64 x (+.f64 1/6 (*.f64 1/4 x))) (/.f64 x (/.f64 -1/9 x))))
(if (<=.f64 x -2616498417099419/1125899906842624) (.f64 (.f64 x -9) x) (if (<=.f64 x 3243853175974523/2361183241434822606848) (*.f64 x 6) (/.f64 x (/.f64 -1/9 x))))
(if (<=.f64 x -2616498417099419/1125899906842624) (/.f64 x (/.f64 -1/9 x)) (if (<=.f64 x 3243853175974523/2361183241434822606848) (*.f64 x 6) (/.f64 x (/.f64 -1/9 x))))
(*.f64 x 6)
(/.f64 x 1/6)

Outputs
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 x (+.f64 6 (.f64 -9 x)))
(if (<=.f64 x -2616498417099419/1125899906842624) (.f64 (.f64 x -9) x) (if (<=.f64 x 3243853175974523/2361183241434822606848) (/.f64 x (+.f64 1/6 (*.f64 1/4 x))) (/.f64 x (/.f64 -1/9 x))))
(if (<=.f64 x -2616498417099419/1125899906842624) (.f64 x (.f64 -9 x)) (if (<=.f64 x 3243853175974523/2361183241434822606848) (/.f64 x (+.f64 1/6 (*.f64 x 1/4))) (/.f64 x (/.f64 -1/9 x))))
(if (<=.f64 x -2616498417099419/1125899906842624) (.f64 (.f64 x -9) x) (if (<=.f64 x 3243853175974523/2361183241434822606848) (*.f64 x 6) (/.f64 x (/.f64 -1/9 x))))
(if (<=.f64 x -2616498417099419/1125899906842624) (.f64 x (.f64 -9 x)) (if (<=.f64 x 3243853175974523/2361183241434822606848) (*.f64 x 6) (/.f64 x (/.f64 -1/9 x))))
(if (<=.f64 x -2616498417099419/1125899906842624) (/.f64 x (/.f64 -1/9 x)) (if (<=.f64 x 3243853175974523/2361183241434822606848) (*.f64 x 6) (/.f64 x (/.f64 -1/9 x))))
(*.f64 x 6)
(/.f64 x 1/6)

Compiler

Compiled 86 to 60 computations (30.2% saved)

soundness0.0ms (0%)

end119.0ms (1.2%)

Compiler: Compiled 81 to 55 computations (32.1% saved)