Details

analyze20.0ms (0.4%)

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)

sample978.0ms (17.6%)

Results

828.0ms	7602×	body	256	valid
97.0ms	445×	body	1024	valid
38.0ms	209×	body	512	valid
1.0ms	12×	body	256	invalid

preprocess40.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

927×	`fma-def_binary64`
405×	`fma-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`
87×	`distribute-rgt-in_binary64`
63×	`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	229	8
5	361	8
6	545	8
7	816	8
8	1369	8
9	1522	8
10	1835	8
11	2255	8
12	2364	8
13	2368	8
14	2368	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)

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
405×	`fma-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`
87×	`distribute-rgt-in_binary64`
63×	`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	229	8
5	361	8
6	545	8
7	816	8
8	1369	8
9	1522	8
10	1835	8
11	2255	8
12	2364	8
13	2368	8
14	2368	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize3.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite44.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

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

simplify153.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

803×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
564×	`fabs-mul_binary64`
542×	`associate-l_binary64`
541×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	171
1	23	171
2	36	144
3	62	144
4	154	144
5	471	144
6	1686	144
7	2944	144
8	3148	144
9	3361	144
10	3581	144
11	3887	144
12	4287	144
13	4795	144
14	5356	144
15	6046	144
16	6881	144
17	7277	144
18	7567	144
19	7845	144
20	7919	144
21	7955	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)

localize5.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (1.5%)

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	2226	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 3 (.f64 x (+.f64 2 (.f64 x -3))))) 1)))) (#(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 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 (exp.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 3 (+.f64 2 (.f64 x -3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 (+.f64 2 (.f64 x -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 exp.f64 (log.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 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 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) 3) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 8 (.f64 27 (pow.f64 x 3)))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (+.f64 2 (.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (+.f64 2 (.f64 x -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (+.f64 2 (.f64 x -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (.f64 x -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 3 (+.f64 2 (.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (+.f64 2 (.f64 x -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (+.f64 2 (.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (+.f64 2 (.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (+.f64 2 (*.f64 x -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))) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (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 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 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 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 exp.f64 (log.f64 (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (*.f64 x -3))))))))

Outputs

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

simplify138.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

802×	`sqr-pow_binary64`
602×	`associate-l_binary64`
540×	`cube-prod_binary64`
532×	`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	179	198
5	521	198
6	1858	198
7	3139	198
8	3343	198
9	3556	198
10	3776	198
11	4083	198
12	4485	198
13	4995	198
14	5554	198
15	6244	198
16	7081	198
17	7475	198
18	7761	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)

eval40.0ms (0.7%)

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

prune31.0ms (0.6%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	104	16	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	18	122

Error

0.1b

Counts

122 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.6b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 1)
▶	0.2b	(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
	0.4b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
▶	45.5b	(exp.f64 (log.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))))
	8.0b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (+.f64 2 (*.f64 x -3))) 3)) x)
	42.1b	(.f64 x (.f64 -9 x))
	0.4b	(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
▶	11.9b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (*.f64 x -3)))) 2) x)
	41.3b	(cbrt.f64 (pow.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))) 3))
✓	0.3b	(*.f64 x (fma.f64 x -9 6))
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
▶	20.8b	(*.f64 6 x)
	42.1b	(.f64 (.f64 3 (*.f64 x -3)) x)
	0.3b	(.f64 x (+.f64 6 (.f64 -9 x)))
	41.4b	(cbrt.f64 (.f64 (pow.f64 (.f64 3 (+.f64 2 (*.f64 x -3))) 3) (pow.f64 x 3)))
	43.9b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 2)
	1.4b	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 3)
	42.1b	(*.f64 -9 (pow.f64 x 2))

Compiler

Compiled 389 to 317 computations (18.5% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite70.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	197	18
2	2361	18

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

simplify127.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1123×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
564×	`fabs-mul_binary64`
541×	`pow-sqr_binary64`
513×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	15	18
2	26	18
3	51	18
4	124	18
5	367	18
6	1383	18
7	2272	18
8	2436	18
9	2649	18
10	2869	18
11	3169	18
12	3569	18
13	4057	18
14	4618	18
15	5308	18
16	6141	18
17	6537	18
18	6829	18
19	7103	18
20	7181	18
21	7217	18

Stop Event

1×	node limit

Counts

51 → 51

Calls

Call 1

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

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

localize2.0ms (0%)

localize7.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	4.0b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 1)
	0.1b	(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
	0.1b	(.f64 x (+.f64 2 (.f64 x -3)))
	0.0b	(+.f64 2 (*.f64 x -3))
✓	0.0b	(+.f64 2 (*.f64 x -3))
✓	0.1b	(.f64 x (+.f64 2 (.f64 x -3)))
✓	0.1b	(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
✓	4.0b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 1)

series17.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	(.f64 x (+.f64 2 (.f64 x -3)))
1.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 1)
0.0ms	x	@	-inf	(.f64 x (+.f64 2 (.f64 x -3)))
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 1)

rewrite140.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`prod-diff_binary64`
622×	`fma-def_binary64`
546×	`log-prod_binary64`
253×	`fma-neg_binary64`
207×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	274	35
2	3655	35

Stop Event

1×	node limit

Counts

4 → 279

Calls

Call 1

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

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

simplify157.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
641×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	405
1	31	405
2	51	360
3	102	324
4	266	324
5	806	324
6	1241	324
7	1705	324
8	1813	324
9	1946	324
10	2118	324
11	2361	324
12	2674	324
13	3046	324
14	3505	324
15	4092	324
16	4800	324
17	5658	324
18	6084	324
19	6400	324
20	6706	324
21	6784	324
22	6818	324

Stop Event

1×	node limit

Counts

327 → 215

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

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

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.7b	(exp.f64 (log.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))))
	0.1b	(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
	0.1b	(.f64 x (+.f64 2 (.f64 x -3)))
	0.0b	(+.f64 2 (*.f64 x -3))
	0.0b	(+.f64 2 (*.f64 x -3))
	0.1b	(.f64 x (+.f64 2 (.f64 x -3)))
	0.1b	(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
✓	1.7b	(exp.f64 (log.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`log-prod_binary64`
367×	`exp-prod_binary64`
332×	`prod-exp_binary64`
300×	`pow-prod-down_binary64`
286×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	224	11
2	2726	11

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

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

Outputs

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

simplify152.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

802×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
561×	`fabs-mul_binary64`
542×	`associate-l_binary64`
541×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	69	90
4	166	90
5	478	90
6	1690	90
7	2943	90
8	3147	90
9	3360	90
10	3580	90
11	3887	90
12	4287	90
13	4797	90
14	5356	90
15	6042	90
16	6881	90
17	7273	90
18	7565	90
19	7843	90
20	7915	90
21	7949	90

Stop Event

1×	node limit

Counts

83 → 76

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series68.0ms (1.2%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
59.0ms	x	@	0	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (*.f64 x -3)))) 2) x)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (.f64 x -3)))) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (.f64 x -3)))) 2)
1.0ms	x	@	-inf	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (*.f64 x -3)))) 2) x)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (.f64 x -3)))) 2)

rewrite70.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`log-prod_binary64`
346×	`exp-prod_binary64`
341×	`prod-exp_binary64`
296×	`pow-prod-down_binary64`
251×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	244	33
2	2670	25

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-def_binary64`
651×	`associate-/r*_binary64`
391×	`unswap-sqr_binary64`
379×	`associate-*l/_binary64`
330×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	767
1	177	315
2	588	288
3	2108	266
4	6634	262

Stop Event

1×	node limit

Counts

228 → 170

Calls

Call 1

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

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

eval262.0ms (4.7%)

Compiler: Compiled 9919 to 7813 computations (21.2% saved)

prune93.0ms (1.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	611	10	621
Fresh	6	5	11
Picked	1	0	1
Done	4	2	6
Total	622	17	639

Error

0.0b

Counts

639 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.8b	(*.f64 6 x)
	0.3b	(+.f64 (.f64 (.f64 3 x) 2) (.f64 (.f64 3 x) (*.f64 x -3)))
	8.0b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (+.f64 2 (*.f64 x -3))) 3)) x)
▶	42.1b	(.f64 x (.f64 x -9))
	43.9b	(.f64 (sqrt.f64 (.f64 x (fma.f64 x -3 2))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x -3 2))) 3))
	45.6b	(exp.f64 (log.f64 (.f64 3 (.f64 x 2))))
▶	0.4b	(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
▶	0.2b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
▶	1.4b	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 3)
	0.8b	(+.f64 (.f64 6 x) (-.f64 (+.f64 1 (.f64 -9 (*.f64 x x))) 1))
	21.2b	(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	12.0b	(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
	42.1b	(.f64 (.f64 3 (*.f64 x -3)) x)
	0.3b	(.f64 x (+.f64 6 (.f64 -9 x)))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) 3))
▶	42.3b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 -3 x)))) 1)

Compiler

Compiled 390 to 311 computations (20.3% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x -9))
	0.1b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
✓	0.1b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
✓	0.2b	(.f64 x (.f64 x -9))

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

simplify154.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

801×	`sqr-pow_binary64`
567×	`fabs-mul_binary64`
565×	`cube-prod_binary64`
541×	`pow-sqr_binary64`
540×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	201
1	18	201
2	32	192
3	69	174
4	166	174
5	472	174
6	1680	174
7	2915	174
8	3119	174
9	3332	174
10	3552	174
11	3857	174
12	4259	174
13	4767	174
14	5330	174
15	6022	174
16	6859	174
17	7253	174
18	7543	174
19	7821	174
20	7899	174
21	7933	174

Stop Event

1×	node limit

Counts

57 → 39

Calls

Call 1

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

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

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite0.0ms (0%)

Counts: 0 → 0

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

0 → 0

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.8b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 -3 x)))) 1)
	0.2b	(.f64 3 (.f64 x (*.f64 -3 x)))
	0.1b	(.f64 x (.f64 -3 x))
✓	0.1b	(.f64 x (.f64 -3 x))
✓	0.2b	(.f64 3 (.f64 x (*.f64 -3 x)))
✓	2.8b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 -3 x)))) 1)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite104.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`prod-diff_binary64`
503×	`fma-def_binary64`
437×	`log-prod_binary64`
254×	`pow-prod-down_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	218	27
2	2733	27

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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((x fma.f64 (*.f64 x -3) (*.f64 3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -3)) 3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 (*.f64 x -3) 3)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3 (*.f64 x (*.f64 x -3)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))) 2) (cbrt.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 3 (*.f64 x (*.f64 x -3)) 1)) (cbrt.f64 (pow.f64 (fma.f64 3 (*.f64 x (*.f64 x -3)) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (*.f64 x (*.f64 x -3)) 1) 2)) (cbrt.f64 (fma.f64 3 (*.f64 x (*.f64 x -3)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 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(*.f64 x -3)) 1) 2) (fma.f64 x (*.f64 (*.f64 x -3) 3) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 27 (pow.f64 (*.f64 x (*.f64 x -3)) 3) 1) (/.f64 1 (+.f64 1 (pow.f64 (hypot.f64 (*.f64 x (*.f64 (*.f64 x -3) 3)) (*.f64 x -3)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))))) (/.f64 1 (fma.f64 x (*.f64 (*.f64 x -3) 3) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 (*.f64 x -3) 3)) 2)) (/.f64 1 (+.f64 1 (pow.f64 (*.f64 x -3) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) (*.f64 x -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 (*.f64 x -3) 3) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 (*.f64 x -3) 3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 (*.f64 x -3) 3) -1)) (sqrt.f64 (fma.f64 x (*.f64 (*.f64 x -3) 3) -1)) 1)))) (#(struct:change 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(pow.f64 (*.f64 x -3) 2))) (cbrt.f64 (*.f64 x -3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (sqrt.f64 (*.f64 x -3))) (sqrt.f64 (*.f64 x -3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 x -3) 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 x -3) 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 (*.f64 x -3) 3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))) (hypot.f64 (*.f64 x (*.f64 (*.f64 x -3) 3)) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (*.f64 x -3) 3))))))))

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

simplify137.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
638×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	15	252
2	30	252
3	62	252
4	159	252
5	495	252
6	688	252
7	1102	252
8	1202	252
9	1337	252
10	1509	252
11	1752	252
12	2067	252
13	2439	252
14	2896	252
15	3473	252
16	4181	252
17	5037	252
18	5465	252
19	5777	252
20	6085	252
21	6165	252
22	6201	252

Stop Event

1×	node limit

Counts

230 → 124

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

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

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))
	0.1b	(/.f64 1 (+.f64 2 (*.f64 3 x)))
	0.1b	(.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (*.f64 3 x)))))
	0.0b	(+.f64 2 (*.f64 3 x))
✓	0.1b	(/.f64 1 (+.f64 2 (*.f64 3 x)))
✓	0.1b	(.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))
✓	0.1b	(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
✓	0.2b	(.f64 9 (.f64 x x))

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
1.0ms	x	@	inf	(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
1.0ms	x	@	-inf	(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
1.0ms	x	@	inf	(/.f64 1 (+.f64 2 (*.f64 3 x)))
0.0ms	x	@	0	(.f64 9 (.f64 x x))

rewrite81.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
440×	`prod-diff_binary64`
276×	`fma-def_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	351	35
2	4471	35

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 729 (pow.f64 (.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 729 (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 9 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 -3 x))) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 -3 x))) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 -3 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 -3 x))) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 -3 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (+.f64 2 (.f64 -3 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 x 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 (.f64 x 3) (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 x 3) (+.f64 2 (.f64 -3 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x 3) (+.f64 2 (*.f64 -3 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (neg.f64 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (neg.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 -1 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (neg.f64 (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 2 (.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (/.f64 1 (fma.f64 x 3 2))) (.f64 (.f64 (.f64 -9 x) x) (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 x 3 2)) 4) (.f64 (/.f64 1 (fma.f64 x 3 2)) (.f64 (.f64 -9 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 2 (.f64 -3 x)))) (cbrt.f64 (exp.f64 (+.f64 2 (.f64 -3 x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (.f64 -3 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 (.f64 -3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (fma.f64 x 3 2)) (/.f64 (.f64 9 (.f64 x x)) (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) -9 4) (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x x) -9 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -9 4)) 2) (/.f64 (fma.f64 x 3 2) (cbrt.f64 (fma.f64 (.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (.f64 x x) -9 4)) (/.f64 (fma.f64 x 3 2) (sqrt.f64 (fma.f64 (.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3))) (.f64 (fma.f64 x 3 2) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (.f64 81 (pow.f64 x 4))) (.f64 (fma.f64 x 3 2) (fma.f64 9 (.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (.f64 x x) -9 4)) (neg.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3))) 1) (.f64 (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x)))) (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (.f64 81 (pow.f64 x 4))) 1) (.f64 (fma.f64 9 (.f64 x x) 4) (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3))) -1) (.f64 (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x)))) (neg.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (.f64 81 (pow.f64 x 4))) -1) (.f64 (fma.f64 9 (.f64 x x) 4) (neg.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3)))) (.f64 (neg.f64 (fma.f64 x 3 2)) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 16 (.f64 81 (pow.f64 x 4)))) (.f64 (neg.f64 (fma.f64 x 3 2)) (fma.f64 9 (.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (.f64 x x) -9 4) (sqrt.f64 (fma.f64 x 3 2))) (sqrt.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (.f64 x x) -9 4) 1) (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (.f64 x x) -9 4) (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2))) (cbrt.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (fma.f64 9 (.f64 x x) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3))) (/.f64 1 (fma.f64 x 3 2))) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (.f64 81 (pow.f64 x 4))) (/.f64 1 (fma.f64 x 3 2))) (fma.f64 9 (.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (fma.f64 (.f64 x x) -9 4)) (neg.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (.f64 x x) -9 4) -1) (neg.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (fma.f64 x 3 2)) (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3)))) (+.f64 16 (fma.f64 81 (pow.f64 x 4) (.f64 36 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (fma.f64 x 3 2)) (-.f64 16 (.f64 81 (pow.f64 x 4)))) (fma.f64 9 (.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x 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 log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (.f64 -3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) -9 4) 3) (pow.f64 (fma.f64 x 3 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -9 4) 3) (pow.f64 (/.f64 1 (fma.f64 x 3 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 2)) 3) (pow.f64 (fma.f64 (.f64 x x) -9 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 (fma.f64 x 3 2)) (.f64 (.f64 (.f64 -9 x) x) (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x 3 2)) 4 (.f64 (/.f64 1 (fma.f64 x 3 2)) (.f64 (.f64 -9 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 2 (.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (*.f64 -3 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 3 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 3 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 2))) (cbrt.f64 (pow.f64 (fma.f64 x 3 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 3 2) -1/2) (pow.f64 (fma.f64 x 3 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 2) 2)) -1) (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 x 3 2)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 3 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 27 (pow.f64 x 3) 8)) (fma.f64 (.f64 x 3) (fma.f64 x 3 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 (.f64 x x) -9 4)) (+.f64 2 (.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 3 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 3 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x 3 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 3 2))))))))

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-def_binary64`
708×	`distribute-neg-frac_binary64`
417×	`times-frac_binary64`
324×	`distribute-rgt-neg-in_binary64`
296×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	438
1	118	434
2	275	423
3	710	399
4	2041	396
5	5885	396

Stop Event

1×	node limit

Counts

164 → 143

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))))
	0.1b	(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
	0.1b	(.f64 x (+.f64 2 (.f64 x -3)))
	0.0b	(+.f64 2 (*.f64 x -3))
	0.1b	(.f64 x (+.f64 2 (.f64 x -3)))
	0.1b	(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
✓	0.6b	(cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))))
✓	0.8b	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 3)

series11.0ms (0.2%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 3)
1.0ms	x	@	0	(cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))))

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
369×	`exp-prod_binary64`
327×	`pow-prod-down_binary64`
275×	`prod-diff_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	246	24
2	2843	24

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) 3) (*.f64 (*.f64 x (*.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 3 x)) (*.f64 (*.f64 x -3) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3) (*.f64 3 x)) (*.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x 2)) (*.f64 3 (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 2) (*.f64 (*.f64 3 x) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) (*.f64 x -3)) (*.f64 (*.f64 3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x -3 2)) (+.f64 x x))) (*.f64 x (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x -3 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x -3 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 x -3 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3 2) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x -3 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) 2) (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -3 2))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x -3 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x -3 2))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x -3 2))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -3 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) (sqrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 1/6) (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 5/6) (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (fma.f64 x -3 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -3 2))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 x -3 2)))) (sqrt.f64 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) 2) 1) (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) 2) (cbrt.f64 3)) (cbrt.f64 (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) 1) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (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 (*.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (fma.f64 -27 (pow.f64 x 3) 8)) (fma.f64 (*.f64 x -3) (fma.f64 x -3 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (-.f64 4 (*.f64 9 (*.f64 x x)))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x 2) (*.f64 3 (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 3 x) (*.f64 (*.f64 x -3) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -3) (*.f64 3 x) (*.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 2) 3 (*.f64 (*.f64 x (*.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) 2 (*.f64 (*.f64 3 x) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) (*.f64 x -3) (*.f64 (*.f64 3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))))))

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

97 → 97

Calls

Call 1

Inputs

Outputs

eval254.0ms (4.6%)

Compiler: Compiled 7907 to 6218 computations (21.4% saved)

prune122.0ms (2.2%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	468	12	480
Fresh	7	3	10
Picked	1	0	1
Done	1	5	6
Total	477	20	497

Error

0.0b

Counts

497 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	1.8b	(pow.f64 (.f64 (cbrt.f64 (.f64 3 x)) (cbrt.f64 (fma.f64 x -3 2))) 3)
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
✓	20.8b	(*.f64 6 x)
▶	0.3b	(.f64 x (+.f64 6 (.f64 x -9)))
	12.0b	(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) 3))
	42.1b	(.f64 (.f64 (*.f64 3 x) x) -3)
	42.1b	(.f64 (.f64 x -3) (*.f64 3 x))
▶	1.7b	(pow.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) (cbrt.f64 3)) 3)
▶	42.1b	(.f64 -9 (.f64 x x))
	21.5b	(pow.f64 (cbrt.f64 (.f64 3 (.f64 2 x))) 3)
	8.0b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (+.f64 2 (*.f64 x -3))) 3)) x)
✓	42.1b	(.f64 x (.f64 x -9))
	43.9b	(.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x -3 2)))) (sqrt.f64 (.f64 x (fma.f64 x -3 2))))
	45.6b	(exp.f64 (log.f64 (.f64 3 (.f64 x 2))))
✓	0.4b	(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
✓	0.2b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
▶	0.3b	(+.f64 (.f64 (.f64 x 2) 3) (.f64 (.f64 x (*.f64 x -3)) 3))
	0.3b	(+.f64 0 (.f64 (.f64 x 3) (+.f64 2 (*.f64 -3 x))))
▶	21.2b	(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))

Compiler

Compiled 399 to 321 computations (19.5% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`log-prod_binary64`
479×	`fma-def_binary64`
360×	`pow-prod-down_binary64`
289×	`pow2_binary64`
230×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	240	24
2	3050	22

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify137.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
629×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	285
1	21	285
2	39	276
3	86	258
4	219	258
5	652	258
6	962	258
7	1401	258
8	1505	258
9	1640	258
10	1809	258
11	2052	258
12	2365	258
13	2735	258
14	3192	258
15	3771	258
16	4475	258
17	5335	258
18	5757	258
19	6071	258
20	6375	258
21	6453	258
22	6487	258

Stop Event

1×	node limit

Counts

157 → 129

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite36.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify141.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1106×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`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	107	84
5	336	84
6	1237	84
7	2113	84
8	2277	84
9	2461	84
10	2669	84
11	2960	84
12	3353	84
13	3833	84
14	4396	84
15	5078	84
16	5915	84
17	6307	84
18	6593	84
19	6867	84
20	6939	84
21	6975	84
22	7916	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	158	13
2	2064	13

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify156.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

803×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
564×	`fabs-mul_binary64`
542×	`associate-l_binary64`
541×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	171
1	23	171
2	36	144
3	62	144
4	154	144
5	471	144
6	1686	144
7	2944	144
8	3148	144
9	3361	144
10	3581	144
11	3887	144
12	4287	144
13	4795	144
14	5356	144
15	6046	144
16	6881	144
17	7277	144
18	7567	144
19	7845	144
20	7919	144
21	7955	144

Stop Event

1×	node limit

Counts

80 → 66

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)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(pow.f64 (sqrt.f64 3) 2)
	0.2b	(*.f64 (pow.f64 (sqrt.f64 3) 2) x)
✓	0.2b	(*.f64 (pow.f64 (sqrt.f64 3) 2) x)
✓	1.0b	(pow.f64 (sqrt.f64 3) 2)

series2.0ms (0%)

Counts

2 → 0

Calls

3 calls:

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

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	146	5
2	1269	5

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

12 → 12

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (*.f64 x (fma.f64 x -3 2)))
	0.4b	(.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) (cbrt.f64 3))
	0.1b	(*.f64 x (fma.f64 x -3 2))
	0.0b	(fma.f64 x -3 2)
✓	0.1b	(*.f64 x (fma.f64 x -3 2))
✓	0.4b	(.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) (cbrt.f64 3))
✓	0.6b	(cbrt.f64 (*.f64 x (fma.f64 x -3 2)))
✓	0.8b	(pow.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) (cbrt.f64 3)) 3)

series9.0ms (0.2%)

Counts

4 → 12

Calls

12 calls:

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

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`pow1_binary64`
863×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
841×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	230	42
2	2466	42

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

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

simplify149.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

802×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
558×	`fabs-mul_binary64`
544×	`associate-l_binary64`
541×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	117
1	17	117
2	31	108
3	67	90
4	164	90
5	475	90
6	1694	90
7	2951	90
8	3155	90
9	3368	90
10	3588	90
11	3893	90
12	4295	90
13	4803	90
14	5366	90
15	6052	90
16	6885	90
17	7281	90
18	7569	90
19	7845	90
20	7917	90
21	7951	90

Stop Event

1×	node limit

Counts

87 → 80

Calls

Call 1

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

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

eval160.0ms (2.9%)

Compiler: Compiled 4163 to 3165 computations (24% saved)

prune71.0ms (1.3%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	296	7	303
Fresh	6	4	10
Picked	1	0	1
Done	3	6	9
Total	306	17	323

Error

Counts

323 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.8b	(*.f64 6 x)
	0.2b	(+.f64 (.f64 (.f64 x 2) 3) (.f64 -9 (.f64 x x)))
✓	0.3b	(.f64 x (+.f64 6 (.f64 x -9)))
	0.6b	(.f64 x (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (+.f64 6 (*.f64 9 x)))))
	42.1b	(.f64 (.f64 (*.f64 3 x) x) -3)
	12.0b	(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
	42.1b	(.f64 (.f64 x -3) (*.f64 3 x))
	7.5b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
	1.1b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) 3) (.f64 x (*.f64 x -9)))
✓	42.1b	(.f64 -9 (.f64 x x))
	9.8b	(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (*.f64 -54 x))))
	0.3b	(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
	31.4b	(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 x (.f64 x -9)) (.f64 x (.f64 x -9)))) (-.f64 (.f64 x 6) (.f64 x (*.f64 x -9))))
	8.0b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (+.f64 2 (*.f64 x -3))) 3)) x)
✓	42.1b	(.f64 x (.f64 x -9))
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
✓	0.2b	(fma.f64 x 6 (.f64 x (.f64 x -9)))

Compiler

Compiled 215 to 159 computations (26% saved)

regimes190.0ms (3.4%)

Counts

47 → 1

Calls

Call 1

Inputs
(*.f64 6 x)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(.f64 x (.f64 -9 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(.f64 (.f64 (*.f64 3 x) x) -3)
(.f64 (.f64 x -3) (*.f64 3 x))
(.f64 (.f64 3 (*.f64 x -3)) x)
(.f64 x (+.f64 6 (.f64 -9 x)))
(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(+.f64 (.f64 (.f64 x 2) 3) (.f64 -9 (.f64 x x)))
(+.f64 0 (.f64 (.f64 x 3) (+.f64 2 (*.f64 -3 x))))
(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 -3 x)))) 1)
(+.f64 (.f64 (.f64 x 2) 3) (.f64 (.f64 x (*.f64 x -3)) 3))
(+.f64 (.f64 (.f64 3 x) 2) (.f64 (.f64 3 x) (*.f64 x -3)))
(+.f64 (.f64 6 x) (-.f64 (+.f64 1 (.f64 -9 (*.f64 x x))) 1))
(-.f64 (+.f64 1 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 1)
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
(.f64 x (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (+.f64 6 (*.f64 9 x)))))
(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 x (.f64 x -9)) (.f64 x (.f64 x -9)))) (-.f64 (.f64 x 6) (.f64 x (*.f64 x -9))))
(*.f64 -9 (pow.f64 x 2))
(*.f64 x (fma.f64 x -9 6))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (*.f64 -54 x))))
(exp.f64 (log.f64 (.f64 3 (.f64 x 2))))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 2 x))) 3)
(.f64 2 (.f64 (pow.f64 (sqrt.f64 3) 2) x))
(exp.f64 (log.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (+.f64 2 (*.f64 x -3))) 3)) x)
(.f64 (pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (*.f64 x -3)))) 2) x)
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))) 3))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 3)
(cbrt.f64 (.f64 (pow.f64 (.f64 3 (+.f64 2 (*.f64 x -3))) 3) (pow.f64 x 3)))
(pow.f64 (.f64 (cbrt.f64 (.f64 3 x)) (cbrt.f64 (fma.f64 x -3 2))) 3)
(pow.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) (cbrt.f64 3)) 3)
(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
(.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x -3 2)))) (sqrt.f64 (.f64 x (fma.f64 x -3 2))))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x -3 2))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x -3 2))) 3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) 3) (.f64 x (*.f64 x -9)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x -3 2))) 3))

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

Calls

2 calls:

131.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
24.0ms	x

Results

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

Compiler

Compiled 567 to 429 computations (24.3% saved)

regimes142.0ms (2.6%)

Counts

25 → 1

Calls

Call 1

Inputs
(*.f64 6 x)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(.f64 x (.f64 -9 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(.f64 (.f64 (*.f64 3 x) x) -3)
(.f64 (.f64 x -3) (*.f64 3 x))
(.f64 (.f64 3 (*.f64 x -3)) x)
(.f64 x (+.f64 6 (.f64 -9 x)))
(.f64 (.f64 x (+.f64 2 (*.f64 x -3))) 3)
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(+.f64 (.f64 (.f64 x 2) 3) (.f64 -9 (.f64 x x)))
(+.f64 0 (.f64 (.f64 x 3) (+.f64 2 (*.f64 -3 x))))
(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 -3 x)))) 1)
(+.f64 (.f64 (.f64 x 2) 3) (.f64 (.f64 x (*.f64 x -3)) 3))
(+.f64 (.f64 (.f64 3 x) 2) (.f64 (.f64 3 x) (*.f64 x -3)))
(+.f64 (.f64 6 x) (-.f64 (+.f64 1 (.f64 -9 (*.f64 x x))) 1))
(-.f64 (+.f64 1 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 1)
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
(.f64 x (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (+.f64 6 (*.f64 9 x)))))
(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
(.f64 (.f64 3 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))) x)
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 x (.f64 x -9)) (.f64 x (.f64 x -9)))) (-.f64 (.f64 x 6) (.f64 x (*.f64 x -9))))
(*.f64 -9 (pow.f64 x 2))
(*.f64 x (fma.f64 x -9 6))

Outputs
(+.f64 (.f64 (.f64 x 2) 3) (.f64 -9 (.f64 x x)))

Calls

2 calls:

122.0ms	x
13.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Results

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

Compiler

Compiled 277 to 201 computations (27.4% saved)

regimes28.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
7.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 84 to 60 computations (28.6% saved)

regimes14.0ms (0.2%)

Accuracy

Total -58.0b remaining (-2389%)

Threshold costs -58.0b (-2389%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
2.4b	3	`x`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.6903770676420974e-8	3.9014726948501264
18.0ms	-10.370301521808003	-5.185064830304864e-6

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	71
1	33	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(+.f64 (.f64 (.f64 x 2) 3) (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -729745094833347/70368744177664) (.f64 -9 (.f64 x x)) (if (<=.f64 x 8131165753929063/302231454903657293676544) (.f64 6 x) (.f64 -9 (*.f64 x x))))
(*.f64 6 x)

Outputs
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(+.f64 (.f64 (.f64 x 2) 3) (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -729745094833347/70368744177664) (.f64 -9 (.f64 x x)) (if (<=.f64 x 8131165753929063/302231454903657293676544) (.f64 6 x) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -729745094833347/70368744177664) (.f64 -9 (.f64 x x)) (if (<=.f64 x 8131165753929063/302231454903657293676544) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(*.f64 6 x)
(*.f64 x 6)

end43.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 106 to 71 computations (33% saved)