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)

sample887.0ms (10.3%)

Results

732.0ms	7593×	body	256	valid
96.0ms	426×	body	1024	valid
36.0ms	237×	body	512	valid
1.0ms	7×	body	256	invalid

preprocess86.0ms (1%)

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)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize12.0ms (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)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 x (fma.f64 x -9 6))
1.0ms	x	@	0	(*.f64 x (fma.f64 x -9 6))
1.0ms	x	@	inf	(*.f64 x (fma.f64 x -9 6))
0.0ms	x	@	inf	(fma.f64 x -9 6)
0.0ms	x	@	0	(fma.f64 x -9 6)

rewrite77.0ms (0.9%)

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)))))))

simplify218.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 45

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

simplify166.0ms (1.9%)

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)

eval34.0ms (0.4%)

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

prune31.0ms (0.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	108	12	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	14	122

Error

0.1b

Counts

122 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	8.0b	(.f64 (.f64 3 (/.f64 1 (/.f64 (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))) (-.f64 8 (.f64 27 (pow.f64 x 3)))))) x)
	42.9b	(.f64 (.f64 x -9) x)
	10.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
▶	18.5b	(*.f64 x 6)
▶	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
▶	42.9b	(*.f64 -9 (pow.f64 x 2))
	41.7b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
▶	0.2b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) 36) (-.f64 (*.f64 x -9) 6)))
	8.5b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (-.f64 2 (*.f64 3 x))) 3)) x)
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	1.4b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
	0.3b	(.f64 (/.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (*.f64 3 x))) x)
✓	0.2b	(*.f64 x (fma.f64 x -9 6))
▶	43.5b	(exp.f64 (log.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))))

Compiler

Compiled 317 to 255 computations (19.6% 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	@	0	(+.f64 (*.f64 -9 x) 6)
0.0ms	x	@	inf	(+.f64 (*.f64 -9 x) 6)

rewrite68.0ms (0.8%)

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)))))

simplify192.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 62

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x -9) 6)
✓	0.1b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) 36) (-.f64 (*.f64 x -9) 6)))
✓	0.2b	(/.f64 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) 36) (-.f64 (.f64 x -9) 6))
✓	0.3b	(.f64 (.f64 x -9) (*.f64 x -9))

Compiler

Compiled 61 to 47 computations (23% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite121.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
331×	`fma-def_binary64`
323×	`pow2_binary64`
302×	`prod-diff_binary64`
237×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	262	25
2	3619	25

Stop Event

1×	node limit

Counts

4 → 302

Calls

Call 1

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

Outputs
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(.f64 x -9)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -9 (.f64 x x))) (sqrt.f64 -9) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x -9) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) 2)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -9 (sqrt.f64 x)) (sqrt.f64 x) -6)))))

simplify189.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	309
1	31	309
2	50	282
3	86	282
4	221	282
5	676	282
6	998	282
7	1437	282
8	1541	282
9	1674	282
10	1846	282
11	2089	282
12	2404	282
13	2776	282
14	3233	282
15	3822	282
16	4530	282
17	5388	282
18	5814	282
19	6130	282
20	6436	282
21	6514	282
22	6548	282

Stop Event

1×	node limit

Counts

350 → 317

Calls

Call 1

Inputs
(*.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))
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)))
-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 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 81 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))
-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)

localize5.0ms (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
1.0ms	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))

rewrite49.0ms (0.6%)

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))))))))

simplify7.0ms (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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.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))))
✓	2.1b	(exp.f64 (log.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))))

Compiler

Compiled 49 to 39 computations (20.4% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
894×	`add-log-exp_binary64`
893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	203	43
2	2415	43

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

simplify168.0ms (1.9%)

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	342
1	29	342
2	43	288
3	73	288
4	180	288
5	540	288
6	1899	288
7	3170	288
8	3374	288
9	3588	288
10	3808	288
11	4120	288
12	4520	288
13	5033	288
14	5601	288
15	6283	288
16	7120	288
17	7516	288
18	7802	288

Stop Event

1×	node limit

Counts

162 → 110

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 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))
(*.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)

eval807.0ms (9.3%)

Compiler: Compiled 13010 to 10205 computations (21.6% saved)

prune276.0ms (3.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	491	9	500
Fresh	4	3	7
Picked	1	0	1
Done	3	3	6
Total	499	15	514

Error

Counts

514 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	10.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
✓	18.5b	(*.f64 x 6)
	0.3b	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	8.1b	(/.f64 1 (/.f64 (fma.f64 x -9 -6) (.f64 x (fma.f64 (.f64 x x) 81 -36))))
	41.7b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 2)
	32.5b	(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) (+.f64 2 (*.f64 x -3))))
▶	43.0b	(-.f64 (+.f64 1 (.f64 -9 (.f64 x x))) 1)
	0.3b	(/.f64 x (/.f64 1 (fma.f64 x -9 6)))
▶	42.9b	(.f64 (.f64 x -9) x)
▶	0.2b	(.f64 x (/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (.f64 x -9) 6)))
▶	43.6b	(exp.f64 (log.f64 (*.f64 x 6)))
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
▶	1.4b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (-.f64 2 (*.f64 3 x))))) 3)
	32.6b	(.f64 (.f64 (+.f64 6 (.f64 (.f64 x -3) 3)) (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 306 to 241 computations (21.2% saved)

localize82.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x -9) 6)
✓	0.1b	(.f64 x (/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (.f64 x -9) 6)))
✓	0.1b	(.f64 x (.f64 81 x))
✓	0.2b	(/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (*.f64 x -9) 6))

Compiler

Compiled 57 to 42 computations (26.3% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (.f64 x -9) 6)))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (*.f64 x -9) 6))
1.0ms	x	@	-inf	(.f64 x (/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (.f64 x -9) 6)))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (*.f64 x -9) 6))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (*.f64 x -9) 6))

rewrite388.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`log-prod_binary64`
324×	`fma-def_binary64`
290×	`prod-diff_binary64`
248×	`pow1/3_binary64`
245×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	300	20
2	3992	20

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

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

Outputs

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

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

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

simplify236.0ms (2.7%)

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: 2 (0.0ms)

Iter	Nodes	Cost
0	14	255
1	26	255
2	43	228
3	79	228
4	209	228
5	665	228
6	980	228
7	1419	228
8	1523	228
9	1658	228
10	1830	228
11	2071	228
12	2386	228
13	2758	228
14	3215	228
15	3798	228
16	4506	228
17	5364	228
18	5788	228
19	6100	228
20	6406	228
21	6486	228
22	6520	228

Stop Event

1×	node limit

Counts

262 → 237

Calls

Call 1

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

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

localize37.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite194.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify195.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 -9 (.f64 x x)))
✓	0.2b	(.f64 -9 (.f64 x x))
✓	0.9b	(-.f64 (+.f64 1 (.f64 -9 (.f64 x x))) 1)

Compiler

Compiled 28 to 16 computations (42.9% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite155.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`pow1_binary64`
768×	`add-log-exp_binary64`
767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	178	22
2	2398	22

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 -9 (.f64 x x))) 1)
(.f64 -9 (.f64 x x))
(+.f64 1 (.f64 -9 (.f64 x x)))

Outputs

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

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

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

simplify202.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
558×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
455×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	273
1	16	255
2	27	255
3	52	255
4	118	255
5	352	255
6	1287	255
7	2193	255
8	2357	255
9	2541	255
10	2749	255
11	3048	255
12	3439	255
13	3922	255
14	4490	255
15	5176	255
16	6009	255
17	6401	255
18	6695	255
19	6973	255
20	7047	255
21	7083	255

Stop Event

1×	node limit

Counts

151 → 90

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 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 1 (*.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 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
1
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 x x)) 1)
(fma.f64 -9 (*.f64 x x) 1)
(fma.f64 x (*.f64 -9 x) 1)
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 x x)) 1)
(fma.f64 -9 (*.f64 x x) 1)
(fma.f64 x (*.f64 -9 x) 1)
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 x x)) 1)
(fma.f64 -9 (*.f64 x x) 1)
(fma.f64 x (*.f64 -9 x) 1)
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 x x)) 1)
(fma.f64 -9 (*.f64 x x) 1)
(fma.f64 x (*.f64 -9 x) 1)
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 x x)) 1)
(fma.f64 -9 (*.f64 x x) 1)
(fma.f64 x (*.f64 -9 x) 1)
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 x x)) 1)
(fma.f64 -9 (*.f64 x x) 1)
(fma.f64 x (*.f64 -9 x) 1)
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 x x)) 1)
(fma.f64 -9 (*.f64 x x) 1)
(fma.f64 x (*.f64 -9 x) 1)
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 x x)) 1)
(fma.f64 -9 (*.f64 x x) 1)
(fma.f64 x (*.f64 -9 x) 1)
(+.f64 1 (*.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 x x)) 1)
(fma.f64 -9 (*.f64 x x) 1)
(fma.f64 x (*.f64 -9 x) 1)

localize39.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 x 6))
✓	2.7b	(exp.f64 (log.f64 (*.f64 x 6)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

series228.0ms (2.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
177.0ms	x	@	0	(log.f64 (*.f64 x 6))
35.0ms	x	@	-inf	(log.f64 (*.f64 x 6))
11.0ms	x	@	inf	(log.f64 (*.f64 x 6))
1.0ms	x	@	0	(exp.f64 (log.f64 (*.f64 x 6)))
1.0ms	x	@	inf	(exp.f64 (log.f64 (*.f64 x 6)))

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`pow1_binary64`
419×	`add-sqr-sqrt_binary64`
410×	`*-un-lft-identity_binary64`
400×	`add-log-exp_binary64`
400×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	105	10
2	1083	10

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

172×	`fma-neg_binary64`
101×	`fma-def_binary64`
41×	`associate--r+_binary64`
41×	`cancel-sign-sub-inv_binary64`
41×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	164
1	35	156
2	47	156
3	97	156
4	184	156
5	311	156
6	470	156
7	647	156
8	766	156
9	788	156

Stop Event

1×

saturated

Counts

91 → 70

Calls

Call 1

Inputs
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 6))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 6))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 6))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 6))
(+.f64 (log.f64 -6) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -6) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -6) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -6) (*.f64 -1 (log.f64 (/.f64 -1 x))))

Outputs
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 6))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 6))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 6))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 6))
(+.f64 (log.f64 6) (log.f64 x))
(+.f64 (log.f64 -6) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -6) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -6) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -6) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -6) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -6) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -6) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -6) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -6) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -6) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -6) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -6) (log.f64 (/.f64 -1 x)))

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 40 computations (20% saved)

series13.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite184.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

71 → 71

Calls

Call 1

Inputs

Outputs

eval1.0s (11.8%)

Compiler: Compiled 13572 to 10579 computations (22.1% saved)

prune96.0ms (1.1%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	554	7	561
Fresh	3	4	7
Picked	1	0	1
Done	2	5	7
Total	560	16	576

Error

Counts

576 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
▶	60.9b	(-.f64 1 1)
	10.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
✓	18.5b	(*.f64 x 6)
▶	0.3b	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	41.8b	(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
	8.1b	(/.f64 1 (/.f64 (fma.f64 x -9 -6) (.f64 x (fma.f64 (.f64 x x) 81 -36))))
	0.3b	(/.f64 x (/.f64 1 (fma.f64 x -9 6)))
✓	42.9b	(.f64 (.f64 x -9) x)
✓	0.2b	(.f64 x (/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (.f64 x -9) 6)))
	42.9b	(.f64 (.f64 x x) -9)
▶	51.9b	(sqrt.f64 (.f64 36 (.f64 x x)))
	32.5b	(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) (+.f64 2 (*.f64 x -3))))
▶	19.4b	(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)
▶	41.8b	(.f64 (.f64 6 (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 250 to 195 computations (22% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series36.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	(+.f64 2 (*.f64 x -3))
1.0ms	x	@	0	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
0.0ms	x	@	inf	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
0.0ms	x	@	-inf	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
0.0ms	x	@	-inf	(+.f64 2 (*.f64 x -3))

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	16
2	2407	16

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify180.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

77 → 63

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 36 (.f64 x x))
✓	24.4b	(sqrt.f64 (.f64 36 (.f64 x x)))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 36 (.f64 x x))
0.0ms	x	@	0	(.f64 36 (.f64 x x))
0.0ms	x	@	0	(sqrt.f64 (.f64 36 (.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (.f64 36 (.f64 x x)))
0.0ms	x	@	-inf	(.f64 36 (.f64 x x))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`pow1_binary64`
494×	`add-sqr-sqrt_binary64`
477×	`add-log-exp_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	124	11
2	1400	11

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(sqrt.f64 (.f64 36 (.f64 x x)))
(.f64 36 (.f64 x x))

Outputs

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

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

simplify180.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	132
1	18	132
2	29	132
3	58	132
4	138	132
5	442	132
6	1603	132
7	2497	132
8	2661	132
9	2874	132
10	3094	132
11	3399	132
12	3801	132
13	4294	132
14	4862	132
15	5554	132
16	6387	132
17	6779	132
18	7071	132
19	7349	132
20	7421	132
21	7455	132

Stop Event

1×	node limit

Counts

62 → 42

Calls

Call 1

Inputs
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 -6 x)
(*.f64 -6 x)
(*.f64 -6 x)
(*.f64 -6 x)
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))
(*.f64 36 (pow.f64 x 2))

Outputs
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 -6 x)
(*.f64 x -6)
(*.f64 -6 x)
(*.f64 x -6)
(*.f64 -6 x)
(*.f64 x -6)
(*.f64 -6 x)
(*.f64 x -6)
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))
(*.f64 36 (pow.f64 x 2))
(.f64 36 (.f64 x x))
(.f64 x (.f64 x 36))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (*.f64 x 6))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
516×	`add-sqr-sqrt_binary64`
495×	`add-log-exp_binary64`
495×	`log1p-expm1-u_binary64`
495×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	1397	10

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

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

49 → 49

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 6 (sqrt.f64 x)) (sqrt.f64 x))
✓	0.2b	(*.f64 6 (sqrt.f64 x))

Compiler

Compiled 16 to 8 computations (50% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
505×	`add-sqr-sqrt_binary64`
485×	`add-log-exp_binary64`
485×	`log1p-expm1-u_binary64`
485×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	121	10
2	1363	10

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify178.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1024×	`fma-def_binary64`
799×	`fabs-mul_binary64`
775×	`cube-prod_binary64`
741×	`sqr-pow_binary64`
409×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	21	48
2	40	48
3	71	48
4	170	48
5	542	48
6	697	48
7	920	48
8	1406	48
9	1623	48
10	2488	48
11	3311	48
12	3624	48
13	4012	48
14	4498	48
15	5135	48
16	6037	48
17	7227	48

Stop Event

1×	node limit

Counts

34 → 25

Calls

Call 1

Inputs
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(.f64 -6 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(.f64 -6 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(.f64 -6 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(.f64 -6 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))

Outputs
(*.f64 6 x)
(*.f64 x 6)
(*.f64 6 x)
(*.f64 x 6)
(*.f64 6 x)
(*.f64 x 6)
(*.f64 6 x)
(*.f64 x 6)
(*.f64 6 x)
(*.f64 x 6)
(*.f64 6 x)
(*.f64 x 6)
(*.f64 6 x)
(*.f64 x 6)
(*.f64 6 x)
(*.f64 x 6)
(.f64 -6 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 6 x)
(*.f64 x 6)
(.f64 -6 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 6 x)
(*.f64 x 6)
(.f64 -6 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 6 x)
(*.f64 x 6)
(.f64 -6 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 6 x)
(*.f64 x 6)

eval48.0ms (0.6%)

Compiler: Compiled 1766 to 1354 computations (23.3% saved)

prune36.0ms (0.4%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	176	3	179
Fresh	1	5	6
Picked	0	1	1
Done	1	8	9
Total	178	17	195

Error

Counts

195 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	41.8b	(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	10.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (-.f64 2 (*.f64 3 x)))) 2) x)
✓	18.5b	(*.f64 x 6)
✓	0.3b	(.f64 (+.f64 2 (.f64 x -3)) (*.f64 x 3))
✓	0.2b	(.f64 (+.f64 (.f64 -9 x) 6) x)
	8.1b	(/.f64 1 (/.f64 (fma.f64 x -9 -6) (.f64 x (fma.f64 (.f64 x x) 81 -36))))
	61.3b	(*.f64 x -6)
	0.3b	(/.f64 x (/.f64 1 (fma.f64 x -9 6)))
✓	42.9b	(.f64 (.f64 x -9) x)
✓	0.2b	(.f64 x (/.f64 (-.f64 (.f64 x (.f64 81 x)) 36) (-.f64 (.f64 x -9) 6)))
	42.9b	(.f64 (.f64 x x) -9)
✓	51.9b	(sqrt.f64 (.f64 36 (.f64 x x)))
	32.5b	(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) (+.f64 2 (*.f64 x -3))))
✓	19.4b	(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)
✓	41.8b	(.f64 (.f64 6 (sqrt.f64 x)) (sqrt.f64 x))
	42.9b	(.f64 (.f64 x -3) (*.f64 x 3))

Compiler

Compiled 155 to 119 computations (23.2% saved)

regimes154.0ms (1.8%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
37.0ms	x
27.0ms	(.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 334 to 250 computations (25.1% saved)

regimes38.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch114.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	9.346374982514411e-7	1505765794.3420343
31.0ms	-32597.845920558284	-2.518210312236727e-20

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes73.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

71.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch64.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	9.346374982514411e-7	1505765794.3420343
32.0ms	-32597.845920558284	-2.518210312236727e-20

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes11.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 x 6)

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
18.5b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes125.0ms (1.4%)

Accuracy

Total -0.8b remaining (-1.4%)

Threshold costs -0.8b (-1.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 1 1)

Calls

1 calls:

123.0ms

Results

Error	Segments	Branch
60.9b	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	79
1	33	79

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -9 x) 6) x)
(if (<=.f64 x -4480213828763035/137438953472) (.f64 (.f64 x -9) x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (.f64 x 6) (.f64 (*.f64 x x) -9)))
(if (<=.f64 x -4480213828763035/137438953472) (.f64 (.f64 x x) -9) (if (<=.f64 x 2206850397687871/2361183241434822606848) (.f64 x 6) (.f64 (*.f64 x x) -9)))
(*.f64 x 6)
(-.f64 1 1)
(*.f64 x -6)

Outputs
(.f64 (+.f64 (.f64 -9 x) 6) x)
(.f64 x (+.f64 6 (.f64 -9 x)))
(if (<=.f64 x -4480213828763035/137438953472) (.f64 (.f64 x -9) x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (.f64 x 6) (.f64 (*.f64 x x) -9)))
(if (<=.f64 x -4480213828763035/137438953472) (.f64 x (.f64 -9 x)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -4480213828763035/137438953472) (.f64 (.f64 x x) -9) (if (<=.f64 x 2206850397687871/2361183241434822606848) (.f64 x 6) (.f64 (*.f64 x x) -9)))
(if (<=.f64 x -4480213828763035/137438953472) (.f64 -9 (.f64 x x)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(*.f64 x 6)
(-.f64 1 1)
0
(*.f64 x -6)

Compiler

Compiled 62 to 43 computations (30.6% saved)

soundness0.0ms (0%)

end86.0ms (1%)

Compiler: Compiled 57 to 37 computations (35.1% saved)

Iter	Nodes	Cost
0	19	164
1	35	156
2	47	156
3	97	156
4	184	156
5	311	156
6	470	156
7	647	156
8	766	156
9	788	156

Iter	Nodes	Cost
0	19	164
1	35	156
2	47	156
3	97	156
4	184	156
5	311	156
6	470	156
7	647	156
8	766	156
9	788	156

Iter	Nodes	Cost
0	19	164
1	35	156
2	47	156
3	97	156
4	184	156
5	311	156
6	470	156
7	647	156
8	766	156
9	788	156