Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.6s (18.8%)

Results

1.4s	7532×	body	256	valid
143.0ms	446×	body	1024	valid
50.0ms	278×	body	512	valid
1.0ms	10×	body	256	invalid

preprocess70.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

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

rewrite111.0ms (1.3%)

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)))))))

simplify273.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 45

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

simplify206.0ms (2.4%)

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)

eval33.0ms (0.4%)

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

prune30.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	106	14	120
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	107	15	122

Error

0.1b

Counts

122 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	6.7b	(.f64 (.f64 3 (/.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))) x)
	0.2b	(.f64 (+.f64 6 (.f64 (*.f64 x -3) 3)) x)
▶	0.2b	(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
	43.9b	(.f64 (.f64 x -9) x)
✓	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
▶	11.5b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
▶	18.4b	(*.f64 x 6)
▶	43.9b	(*.f64 -9 (pow.f64 x 2))
	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
	0.3b	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
	43.9b	(.f64 (.f64 3 (*.f64 x -3)) x)
	7.5b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
▶	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	42.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
	1.4b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)

Compiler

Compiled 322 to 256 computations (20.5% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite210.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify206.0ms (2.4%)

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))

localize20.0ms (0.2%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 21

Calls

6 calls:

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

rewrite193.0ms (2.3%)

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)))))

simplify194.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 62

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite114.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`pow1_binary64`
469×	`add-sqr-sqrt_binary64`
458×	`*-un-lft-identity_binary64`
447×	`add-log-exp_binary64`
447×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1271	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 41 computations (16.3% saved)

series11.0ms (0.1%)

Counts

4 → 32

Calls

12 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

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

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

120 → 97

Calls

Call 1

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

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

eval159.0ms (1.9%)

Compiler: Compiled 3154 to 2516 computations (20.2% saved)

prune93.0ms (1.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	216	12	228
Fresh	5	4	9
Picked	1	0	1
Done	3	2	5
Total	225	18	243

Error

0.0b

Counts

243 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	43.9b	(.f64 (.f64 3 (*.f64 x -3)) x)
	18.9b	(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
▶	0.2b	(pow.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x)) 1)
▶	0.3b	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
	19.0b	(.f64 (pow.f64 (.f64 (sqrt.f64 2) (sqrt.f64 3)) 2) x)
✓	18.4b	(*.f64 x 6)
▶	0.2b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	7.0b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
	0.2b	(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
▶	42.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
	9.8b	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
	0.2b	(.f64 (+.f64 6 (.f64 (*.f64 x -3) 3)) x)
	7.0b	(.f64 (/.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))) x)
▶	43.9b	(.f64 (.f64 x -9) x)
	0.9b	(.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (+.f64 2 (*.f64 x -3))) x)
	1.4b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
	44.1b	(pow.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) 3)

Compiler

Compiled 414 to 331 computations (20% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 13 computations (35% saved)

series25.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(fma.f64 x 6 (.f64 x (.f64 x -9)))
0.0ms	x	@	inf	(fma.f64 x 6 (.f64 x (.f64 x -9)))
0.0ms	x	@	-inf	(fma.f64 x 6 (.f64 x (.f64 x -9)))
0.0ms	x	@	0	(.f64 x (.f64 x -9))
0.0ms	x	@	inf	(.f64 x (.f64 x -9))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify185.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 39

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize25.0ms (0.3%)

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)
✓	0.1b	(/.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)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite259.0ms (3%)

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 .f64 3 (+.f64 2 (.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 (fma.f64 (.f64 x x) -9 4) (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) (/.f64 1 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (+.f64 2 (.f64 -3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 3 (+.f64 2 (.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 9 (pow.f64 (fma.f64 (.f64 x x) -9 4) 2))) (.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))) (pow.f64 (cbrt.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))) 2) (cbrt.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))) (sqrt.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (.f64 x x) -9 4) -3) (/.f64 1 (neg.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 3 2)) (.f64 (fma.f64 (.f64 x x) -9 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (.f64 -3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 x x) -9 4) 1) (/.f64 3 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 9 (pow.f64 (fma.f64 (.f64 x x) -9 4) 2))) 1) (/.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) 1) (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 x x) -9 4) (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2))) (/.f64 3 (cbrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3 (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2))) (/.f64 (fma.f64 (.f64 x x) -9 4) (cbrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2))) (/.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) (cbrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 9 (pow.f64 (fma.f64 (.f64 x x) -9 4) 2))) (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2))) (cbrt.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2))) (/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (cbrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 x x) -9 4) (sqrt.f64 (fma.f64 x 3 2))) (/.f64 3 (sqrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3 (sqrt.f64 (fma.f64 x 3 2))) (/.f64 (fma.f64 (.f64 x x) -9 4) (sqrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x 3 2))) (/.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) (sqrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 9 (pow.f64 (fma.f64 (.f64 x x) -9 4) 2))) (sqrt.f64 (fma.f64 x 3 2))) (/.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (sqrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) (fma.f64 27 (pow.f64 x 3) 8)) (fma.f64 (.f64 x 3) (fma.f64 x 3 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) (fma.f64 (.f64 x x) -9 4)) (+.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 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egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (+.f64 2 (*.f64 -3 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 (+.f64 2 (.f64 -3 x))))) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 (+.f64 2 (.f64 -3 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 (+.f64 2 (.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 3 (+.f64 2 (.f64 -3 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 3 (+.f64 2 (.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 3 (+.f64 2 (.f64 -3 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) (/.f64 (fma.f64 x 3 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 3 2) (.f64 x (.f64 (fma.f64 (.f64 x x) -9 4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) -9 4) 3))) (neg.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) -9 4) 3)) 1) (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2))) (cbrt.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) -9 4) 3)) (sqrt.f64 (fma.f64 x 3 2))) (sqrt.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (.f64 x x) -9 4) x) (.f64 (fma.f64 x 3 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (fma.f64 (.f64 x x) -9 4) -3) x) (neg.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 (.f64 x x) -9 4)) (.f64 (fma.f64 x 3 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) -9 4) -3)) (neg.f64 (fma.f64 x 3 2)))))) (#(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 x) (.f64 3 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 3 (+.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 exp.f64 (.f64 (log.f64 (.f64 x (.f64 3 (+.f64 2 (*.f64 -3 x))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 (.f64 x x) -9 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 12 (.f64 (.f64 (.f64 x x) -9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 12 (.f64 3 (.f64 (.f64 x x) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (.f64 x x) -9 4))) (cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (.f64 x x) -9 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (.f64 x x) -9 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (.f64 x x) -9 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (.f64 x x) -9 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3))) 3) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (.f64 81 (pow.f64 x 4))) 3) (fma.f64 9 (.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3)))) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 16 (.f64 81 (pow.f64 x 4)))) (fma.f64 9 (.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 (fma.f64 (.f64 x x) -9 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 (.f64 x x) -9 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3)) 1))))))

simplify224.0ms (2.6%)

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)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 32 computations (22% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
861×	`add-log-exp_binary64`
860×	`log1p-expm1-u_binary64`
860×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	193	24
2	2317	24

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

simplify187.0ms (2.2%)

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

100 → 80

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)

localize39.0ms (0.5%)

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)

series10.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite228.0ms (2.7%)

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	41
1	223	41
2	2476	41

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (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)))))))))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

937×	`associate-/l*_binary64`
480×	`fma-neg_binary64`
430×	`fma-def_binary64`
384×	`associate-*l/_binary64`
283×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	830
1	253	457
2	953	422
3	3328	410

Stop Event

1×	node limit

Counts

117 → 102

Calls

Call 1

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

eval141.0ms (1.6%)

Compiler: Compiled 6016 to 4796 computations (20.3% saved)

prune59.0ms (0.7%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	369	10	379
Fresh	8	3	11
Picked	1	0	1
Done	2	4	6
Total	380	17	397

Error

Counts

397 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	43.9b	(.f64 (.f64 3 (*.f64 x -3)) x)
▶	18.9b	(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
	31.6b	(.f64 (.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) (sqrt.f64 x)) (sqrt.f64 x))
	11.6b	(.f64 (.f64 x (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3)))) (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))))
	44.1b	(.f64 (/.f64 (.f64 x (.f64 x -27)) (+.f64 2 (.f64 3 x))) x)
✓	0.2b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
✓	18.4b	(*.f64 x 6)
▶	0.2b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
▶	7.0b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
▶	43.9b	(.f64 -9 (.f64 x x))
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
▶	18.4b	(.f64 (/.f64 12 (+.f64 2 (.f64 3 x))) x)
	0.5b	(/.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) (/.f64 (fma.f64 x 3 2) x))
	0.4b	(/.f64 x (/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x)))))
	42.5b	(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
✓	43.9b	(.f64 (.f64 x -9) x)
	0.3b	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))

Compiler

Compiled 329 to 257 computations (21.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series37.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(.f64 x (+.f64 2 (.f64 x -3)))
0.0ms	x	@	0	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
0.0ms	x	@	inf	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
0.0ms	x	@	-inf	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
0.0ms	x	@	inf	(.f64 x (+.f64 2 (.f64 x -3)))

rewrite63.0ms (0.7%)

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	23
1	199	19
2	2505	19

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

simplify182.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite195.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify173.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 3 x))
✓	0.1b	(.f64 (/.f64 12 (+.f64 2 (.f64 3 x))) x)
✓	0.1b	(/.f64 12 (+.f64 2 (*.f64 3 x)))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series40.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	x	@	-inf	(/.f64 12 (+.f64 2 (*.f64 3 x)))
0.0ms	x	@	inf	(/.f64 12 (+.f64 2 (*.f64 3 x)))
0.0ms	x	@	0	(/.f64 12 (+.f64 2 (*.f64 3 x)))
0.0ms	x	@	0	(.f64 (/.f64 12 (+.f64 2 (.f64 3 x))) x)
0.0ms	x	@	inf	(.f64 (/.f64 12 (+.f64 2 (.f64 3 x))) x)

rewrite115.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`unpow-prod-down_binary64`
432×	`log-prod_binary64`
327×	`exp-prod_binary64`
245×	`pow2_binary64`
233×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	201	24
2	2498	24

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs
(/.f64 12 (+.f64 2 (*.f64 3 x)))
(.f64 (/.f64 12 (+.f64 2 (.f64 3 x))) x)
(+.f64 2 (*.f64 3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 12 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 12 (fma.f64 3 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 12 (fma.f64 3 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 12 (fma.f64 3 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 12 (fma.f64 3 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 12 (fma.f64 3 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 12 (/.f64 1 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 12 (fma.f64 3 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 12 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 12 (fma.f64 3 x 2))) (cbrt.f64 (/.f64 144 (pow.f64 (fma.f64 3 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 144 (pow.f64 (fma.f64 3 x 2) 2))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 12 (fma.f64 3 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 12 (fma.f64 3 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 12) 2) (/.f64 1 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 x 2) 1/12)) 2) -1) (cbrt.f64 (/.f64 12 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 12 (fma.f64 3 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 144 (pow.f64 (fma.f64 3 x 2) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 12 (fma.f64 3 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 12 (fma.f64 3 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 12 (fma.f64 3 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 3 x 2) 1/12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 12 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 3 x 2) 1/12) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 12 (fma.f64 3 x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 12 (fma.f64 3 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 12 (fma.f64 3 x 2))))) (sqrt.f64 (log.f64 (/.f64 12 (fma.f64 3 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 144 (pow.f64 (fma.f64 3 x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 12 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 12 (fma.f64 3 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 12 (fma.f64 3 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 12 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 12 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 12 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 12 (fma.f64 3 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 12 (fma.f64 3 x 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 12 (fma.f64 3 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 12 (fma.f64 3 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 3 x 2) 1/12)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 12 (fma.f64 3 x 2))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 12 (fma.f64 3 x 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 12 (fma.f64 3 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 12 (fma.f64 3 x 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 12 (fma.f64 3 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 12 (/.f64 (fma.f64 3 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (fma.f64 3 x 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x 2) (*.f64 12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 12 x) (fma.f64 3 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 12 x)) (neg.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 12 x) 1) (fma.f64 3 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 12 x) (cbrt.f64 (pow.f64 (fma.f64 3 x 2) 2))) (cbrt.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 12 x) (sqrt.f64 (fma.f64 3 x 2))) (sqrt.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -12 x) (neg.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -12) (neg.f64 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 3 x 2) (*.f64 12 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12))))) (sqrt.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 12 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 3 x 2) 1/12))) 1) 1))))))

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

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-def_binary64`
509×	`associate-/l/_binary64`
447×	`fma-neg_binary64`
387×	`associate-*l/_binary64`
384×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	389
1	166	387
2	417	380
3	1117	366
4	3394	366

Stop Event

1×	node limit

Counts

179 → 175

Calls

Call 1

Inputs
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (.f64 27/2 (pow.f64 x 2)) (+.f64 (.f64 -9 x) 6))
(+.f64 (.f64 27/2 (pow.f64 x 2)) (+.f64 (.f64 -9 x) (+.f64 6 (*.f64 -81/4 (pow.f64 x 3)))))
(/.f64 4 x)
(-.f64 (.f64 4 (/.f64 1 x)) (.f64 8/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 16/9 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 16/9 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 x))) (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 (pow.f64 x 2)))))
(/.f64 4 x)
(-.f64 (.f64 4 (/.f64 1 x)) (.f64 8/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 16/9 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 16/9 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 x))) (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 (pow.f64 x 2)))))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (*.f64 -9 (pow.f64 x 2))))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (+.f64 (.f64 -81/4 (pow.f64 x 4)) (.f64 -9 (pow.f64 x 2)))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
2
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)

Outputs
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(+.f64 (.f64 27/2 (pow.f64 x 2)) (+.f64 (.f64 -9 x) 6))
(fma.f64 27/2 (*.f64 x x) (fma.f64 -9 x 6))
(fma.f64 -9 x (fma.f64 x (*.f64 x 27/2) 6))
(fma.f64 x (fma.f64 x 27/2 -9) 6)
(+.f64 (.f64 27/2 (pow.f64 x 2)) (+.f64 (.f64 -9 x) (+.f64 6 (*.f64 -81/4 (pow.f64 x 3)))))
(fma.f64 27/2 (.f64 x x) (+.f64 (fma.f64 -9 x 6) (.f64 -81/4 (pow.f64 x 3))))
(fma.f64 27/2 (*.f64 x x) (fma.f64 -9 x (fma.f64 -81/4 (pow.f64 x 3) 6)))
(fma.f64 x (*.f64 x 27/2) (fma.f64 -9 x (fma.f64 -81/4 (pow.f64 x 3) 6)))
(fma.f64 -9 x (fma.f64 (*.f64 x x) (fma.f64 x -81/4 27/2) 6))
(/.f64 4 x)
(-.f64 (.f64 4 (/.f64 1 x)) (.f64 8/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 4 x) (/.f64 8/3 (*.f64 x x)))
(+.f64 (/.f64 4 x) (/.f64 -8/3 (*.f64 x x)))
(-.f64 (/.f64 4 x) (/.f64 (/.f64 8/3 x) x))
(+.f64 (/.f64 4 x) (/.f64 (/.f64 -8/3 x) x))
(-.f64 (+.f64 (.f64 16/9 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 16/9 (pow.f64 x 3)) (-.f64 (/.f64 4 x) (/.f64 8/3 (*.f64 x x))))
(+.f64 (/.f64 4 x) (-.f64 (/.f64 16/9 (pow.f64 x 3)) (/.f64 (/.f64 8/3 x) x)))
(+.f64 (/.f64 4 x) (+.f64 (/.f64 16/9 (pow.f64 x 3)) (/.f64 (/.f64 -8/3 x) x)))
(+.f64 (+.f64 (/.f64 4 x) (/.f64 -8/3 (*.f64 x x))) (/.f64 16/9 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 4 x) (/.f64 16/9 (pow.f64 x 3))) (/.f64 (/.f64 -8/3 x) x))
(-.f64 (+.f64 (.f64 16/9 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 x))) (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 4 x) (/.f64 16/9 (pow.f64 x 3))) (+.f64 (/.f64 8/3 (*.f64 x x)) (/.f64 32/27 (pow.f64 x 4))))
(+.f64 (/.f64 4 x) (-.f64 (/.f64 16/9 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 8/3 x) x) (/.f64 32/27 (pow.f64 x 4)))))
(+.f64 (/.f64 16/9 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 4 x) (/.f64 (/.f64 8/3 x) x)) (/.f64 -32/27 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 4 x) (/.f64 -8/3 (*.f64 x x))) (-.f64 (/.f64 32/27 (pow.f64 x 4)) (/.f64 16/9 (pow.f64 x 3))))
(+.f64 (/.f64 4 x) (+.f64 (/.f64 16/9 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -8/3 x) x) (/.f64 32/27 (pow.f64 x 4)))))
(/.f64 4 x)
(-.f64 (.f64 4 (/.f64 1 x)) (.f64 8/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 4 x) (/.f64 8/3 (*.f64 x x)))
(+.f64 (/.f64 4 x) (/.f64 -8/3 (*.f64 x x)))
(-.f64 (/.f64 4 x) (/.f64 (/.f64 8/3 x) x))
(+.f64 (/.f64 4 x) (/.f64 (/.f64 -8/3 x) x))
(-.f64 (+.f64 (.f64 16/9 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 16/9 (pow.f64 x 3)) (-.f64 (/.f64 4 x) (/.f64 8/3 (*.f64 x x))))
(+.f64 (/.f64 4 x) (-.f64 (/.f64 16/9 (pow.f64 x 3)) (/.f64 (/.f64 8/3 x) x)))
(+.f64 (/.f64 4 x) (+.f64 (/.f64 16/9 (pow.f64 x 3)) (/.f64 (/.f64 -8/3 x) x)))
(+.f64 (+.f64 (/.f64 4 x) (/.f64 -8/3 (*.f64 x x))) (/.f64 16/9 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 4 x) (/.f64 16/9 (pow.f64 x 3))) (/.f64 (/.f64 -8/3 x) x))
(-.f64 (+.f64 (.f64 16/9 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 x))) (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 x 4))) (.f64 8/3 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 4 x) (/.f64 16/9 (pow.f64 x 3))) (+.f64 (/.f64 8/3 (*.f64 x x)) (/.f64 32/27 (pow.f64 x 4))))
(+.f64 (/.f64 4 x) (-.f64 (/.f64 16/9 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 8/3 x) x) (/.f64 32/27 (pow.f64 x 4)))))
(+.f64 (/.f64 16/9 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 4 x) (/.f64 (/.f64 8/3 x) x)) (/.f64 -32/27 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 4 x) (/.f64 -8/3 (*.f64 x x))) (-.f64 (/.f64 32/27 (pow.f64 x 4)) (/.f64 16/9 (pow.f64 x 3))))
(+.f64 (/.f64 4 x) (+.f64 (/.f64 16/9 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -8/3 x) x) (/.f64 32/27 (pow.f64 x 4)))))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (*.f64 -9 (pow.f64 x 2))))
(fma.f64 6 x (fma.f64 27/2 (pow.f64 x 3) (.f64 -9 (.f64 x x))))
(fma.f64 6 x (fma.f64 -9 (.f64 x x) (.f64 27/2 (pow.f64 x 3))))
(fma.f64 27/2 (pow.f64 x 3) (*.f64 x (fma.f64 -9 x 6)))
(*.f64 x (fma.f64 x (fma.f64 x 27/2 -9) 6))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (+.f64 (.f64 -81/4 (pow.f64 x 4)) (.f64 -9 (pow.f64 x 2)))))
(fma.f64 6 x (fma.f64 27/2 (pow.f64 x 3) (fma.f64 -81/4 (pow.f64 x 4) (.f64 -9 (.f64 x x)))))
(fma.f64 6 x (fma.f64 27/2 (pow.f64 x 3) (fma.f64 -9 (.f64 x x) (.f64 -81/4 (pow.f64 x 4)))))
(+.f64 (.f64 x (fma.f64 -9 x 6)) (fma.f64 27/2 (pow.f64 x 3) (.f64 -81/4 (pow.f64 x 4))))
(fma.f64 x (fma.f64 -9 x 6) (*.f64 (pow.f64 x 3) (fma.f64 x -81/4 27/2)))
(.f64 x (fma.f64 -9 x (fma.f64 (.f64 x x) (fma.f64 x -81/4 27/2) 6)))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 4 (/.f64 8/3 x))
(+.f64 4 (/.f64 -8/3 x))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (/.f64 16/9 (*.f64 x x))) (/.f64 8/3 x))
(+.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 4 (/.f64 -8/3 x)))
(+.f64 (-.f64 4 (/.f64 8/3 x)) (/.f64 16/9 (*.f64 x x)))
(+.f64 4 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 8/3 x)))
(+.f64 (+.f64 4 (/.f64 (/.f64 16/9 x) x)) (/.f64 -8/3 x))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
(+.f64 4 (-.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 (/.f64 8/3 x) (/.f64 32/27 (pow.f64 x 3)))))
(+.f64 4 (-.f64 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 32/27 (pow.f64 x 3))) (/.f64 8/3 x)))
(+.f64 4 (+.f64 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x)) (/.f64 -32/27 (pow.f64 x 3))))
(+.f64 4 (+.f64 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 8/3 x)) (/.f64 -32/27 (pow.f64 x 3))))
(+.f64 4 (+.f64 (/.f64 -8/3 x) (+.f64 (/.f64 (/.f64 16/9 x) x) (/.f64 -32/27 (pow.f64 x 3)))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 4 (/.f64 8/3 x))
(+.f64 4 (/.f64 -8/3 x))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (/.f64 16/9 (*.f64 x x))) (/.f64 8/3 x))
(+.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 4 (/.f64 -8/3 x)))
(+.f64 (-.f64 4 (/.f64 8/3 x)) (/.f64 16/9 (*.f64 x x)))
(+.f64 4 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 8/3 x)))
(+.f64 (+.f64 4 (/.f64 (/.f64 16/9 x) x)) (/.f64 -8/3 x))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
(+.f64 4 (-.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 (/.f64 8/3 x) (/.f64 32/27 (pow.f64 x 3)))))
(+.f64 4 (-.f64 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 32/27 (pow.f64 x 3))) (/.f64 8/3 x)))
(+.f64 4 (+.f64 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x)) (/.f64 -32/27 (pow.f64 x 3))))
(+.f64 4 (+.f64 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 8/3 x)) (/.f64 -32/27 (pow.f64 x 3))))
(+.f64 4 (+.f64 (/.f64 -8/3 x) (+.f64 (/.f64 (/.f64 16/9 x) x) (/.f64 -32/27 (pow.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 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)

localize165.0ms (1.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 21 computations (12.5% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

3 calls:

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

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

12 → 12

Calls

Call 1

Inputs

Outputs

localize210.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -9 x -6)
✓	0.0b	(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)
✓	0.3b	(pow.f64 (*.f64 -9 x) 2)
✓	6.5b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))

Compiler

Compiled 48 to 38 computations (20.8% saved)

series11.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
2.0ms	x	@	-inf	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
1.0ms	x	@	inf	(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)
1.0ms	x	@	-inf	(.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x)

rewrite291.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (fma.f64 81 (.f64 x x) -36) (fma.f64 -9 x -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 81 (.f64 x x) -36) (fma.f64 -9 x -6)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 81 (.f64 x x) -36) (fma.f64 -9 x -6)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 81 (.f64 x x) -36) (fma.f64 -9 x -6)) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 81 (.f64 x x) -36) (fma.f64 -9 x -6)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 81 (.f64 x x) -36) (fma.f64 -9 x -6)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (fma.f64 81 (.f64 x x) -36) (/.f64 1 (fma.f64 -9 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 81 (.f64 x x) -36) (/.f64 1 (/.f64 (fma.f64 -9 x -6) x)))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 81 (.f64 x x) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 81 (.f64 x x)) x) (.f64 -36 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -36 x) (.f64 (.f64 81 (.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 81 (.f64 x x))) (.f64 x -36))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -36) (.f64 x (.f64 81 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 81 (.f64 x x) -36)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 81 (.f64 x x) -36)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 81 (.f64 x x) -36)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 81 (.f64 x x) -36)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 81 (.f64 x x) -36)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 531441 (pow.f64 x 6) -46656) x) (-.f64 (fma.f64 6561 (pow.f64 x 4) 1296) (.f64 (.f64 81 (.f64 x x)) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 6561 (pow.f64 x 4) -1296) x) (fma.f64 81 (.f64 x x) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 531441 (pow.f64 x 6) -46656)) (-.f64 (fma.f64 6561 (pow.f64 x 4) 1296) (.f64 (.f64 81 (.f64 x x)) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 6561 (pow.f64 x 4) -1296)) (fma.f64 81 (.f64 x x) 36))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 81 (.f64 x x) -36)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 81 (.f64 x x) -36)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 81 (.f64 x x) -36)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 81 (.f64 x x) -36))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 81 (.f64 x x) -36))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 81 (.f64 x x) -36)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 81 (.f64 x x) -36)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 81 (.f64 x x) -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 81 (.f64 x x) -36)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 81 (.f64 x x) -36))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 81 (.f64 x x) -36))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 81 (.f64 x x) -36))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 81 (.f64 x x) -36))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 81 (.f64 x x)) (.f64 x -36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -36 (.f64 x (.f64 81 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 81 (.f64 x x)) x (.f64 -36 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -36 x (.f64 (.f64 81 (.f64 x x)) x))))))
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simplify220.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

178 → 147

Calls

Call 1

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

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

eval316.0ms (3.7%)

Compiler: Compiled 6414 to 4877 computations (24% saved)

prune113.0ms (1.3%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	432	5	437
Fresh	2	6	8
Picked	1	0	1
Done	0	8	8
Total	435	19	454

Error

Counts

454 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	43.9b	(.f64 (.f64 3 (*.f64 x -3)) x)
✓	18.9b	(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
	31.6b	(.f64 (.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) (sqrt.f64 x)) (sqrt.f64 x))
✓	43.9b	(.f64 (.f64 x -9) x)
	62.1b	4
	18.5b	(/.f64 (*.f64 x -36) (fma.f64 -9 x -6))
	44.1b	(.f64 (/.f64 (.f64 x (.f64 x -27)) (+.f64 2 (.f64 3 x))) x)
✓	0.2b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
✓	18.4b	(*.f64 x 6)
	0.6b	(.f64 (fma.f64 81 (.f64 x x) -36) (/.f64 1 (/.f64 (fma.f64 -9 x -6) x)))
✓	0.2b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
	0.2b	(.f64 (+.f64 (.f64 x 2) (.f64 -3 (.f64 x x))) 3)
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
✓	18.4b	(.f64 (/.f64 12 (+.f64 2 (.f64 3 x))) x)
✓	43.9b	(.f64 -9 (.f64 x x))
	0.4b	(/.f64 x (/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x)))))
	42.5b	(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
	43.9b	(.f64 (.f64 x (*.f64 x -3)) 3)
	0.3b	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))

Compiler

Compiled 174 to 133 computations (23.6% saved)

regimes119.0ms (1.4%)

Counts

43 → 1

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 (pow.f64 (.f64 -9 x) 2) (-.f64 36 (.f64 x -54))))
(.f64 (.f64 x (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3)))) (sqrt.f64 (+.f64 6 (.f64 (.f64 x -3) 3))))
(.f64 (fma.f64 81 (.f64 x x) -36) (/.f64 1 (/.f64 (fma.f64 -9 x -6) x)))
(/.f64 (.f64 (fma.f64 (.f64 x x) -9 4) 3) (/.f64 (fma.f64 x 3 2) x))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -9 x) 2) -36) x) (fma.f64 -9 x -6))
(.f64 (.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
(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)
(pow.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x 6)) 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)
(.f64 (.f64 3 (/.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))) x)
(pow.f64 (.f64 3 (.f64 (+.f64 2 (*.f64 x -3)) x)) 1)
(.f64 (.f64 (pow.f64 (sqrt.f64 3) 2) (+.f64 2 (*.f64 x -3))) x)
(/.f64 (*.f64 x -36) (fma.f64 -9 x -6))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) (sqrt.f64 3)) 2) x)
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
(.f64 (/.f64 (.f64 x (.f64 x -27)) (+.f64 2 (.f64 3 x))) x)
(.f64 (+.f64 (.f64 x 2) (.f64 -3 (.f64 x x))) 3)
(/.f64 x (/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x)))))
(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
(.f64 (/.f64 12 (+.f64 2 (.f64 3 x))) x)
(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
(.f64 (+.f64 6 (.f64 (*.f64 x -3) 3)) x)
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 (.f64 x (*.f64 x -3)) 3)
(.f64 (.f64 3 (*.f64 x -3)) x)
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 -9 (.f64 x x))
(.f64 (.f64 x -9) x)
(.f64 (.f64 x -9) x)
(*.f64 x 6)
4

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

Calls

3 calls:

37.0ms	x
26.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
25.0ms	(.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)`
0.2b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 476 to 357 computations (25% saved)

regimes184.0ms (2.2%)

Counts

24 → 1

Calls

Call 1

Inputs
(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) (sqrt.f64 3)) 2) x)
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
(.f64 (/.f64 (.f64 x (.f64 x -27)) (+.f64 2 (.f64 3 x))) x)
(.f64 (+.f64 (.f64 x 2) (.f64 -3 (.f64 x x))) 3)
(/.f64 x (/.f64 1 (.f64 3 (+.f64 2 (.f64 -3 x)))))
(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
(.f64 (/.f64 12 (+.f64 2 (.f64 3 x))) x)
(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
(.f64 (+.f64 6 (.f64 (*.f64 x -3) 3)) x)
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 (.f64 x (*.f64 x -3)) 3)
(.f64 (.f64 3 (*.f64 x -3)) x)
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 -9 (.f64 x x))
(.f64 (.f64 x -9) x)
(.f64 (.f64 x -9) x)
(*.f64 x 6)
4

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

Calls

3 calls:

149.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
15.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
13.0ms	x

Results

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

Compiler

Compiled 223 to 163 computations (26.9% saved)

regimes8.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes15.0ms (0.2%)

Accuracy

Total -60.9b remaining (-3769.8%)

Threshold costs -60.9b (-3769.8%)

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 -9 (.f64 x x))
(.f64 (.f64 x -9) x)
(.f64 (.f64 x -9) x)
(*.f64 x 6)
4

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch51.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.10266196555053207	896621062290.804
16.0ms	-0.8676585674290122	-0.48658739821284097

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	65
1	31	65

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(if (<=.f64 x -16005475536724449280/18446744073709551616) (.f64 -9 (.f64 x x)) (if (<=.f64 x 1893779004614651648/18446744073709551616) (.f64 x 6) (.f64 (*.f64 x -9) x)))
4

Outputs
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -16005475536724449280/18446744073709551616) (.f64 -9 (.f64 x x)) (if (<=.f64 x 1893779004614651648/18446744073709551616) (.f64 x 6) (.f64 (*.f64 x -9) x)))
(if (<=.f64 x -7815173601916235/9007199254740992) (.f64 -9 (.f64 x x)) (if (<=.f64 x 7397574236775983/72057594037927936) (.f64 x 6) (.f64 x (*.f64 x -9))))
4

Compiler

Compiled 51 to 36 computations (29.4% saved)

soundness234.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 132 to 108 computations (18.2% saved)

end64.0ms (0.8%)

Compiler: Compiled 47 to 31 computations (34% saved)