Details

analyze4.0ms (0.3%)

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
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample814.0ms (51.7%)

Results

614.0ms	7449×	body	128	valid
127.0ms	478×	body	1024	valid
41.0ms	211×	body	512	valid
17.0ms	118×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 22 to 18 computations (18.2% saved)

preprocess37.0ms (2.4%)

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 10 to 8 computations (20% saved)

simplify31.0ms (2%)

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))

prune3.0ms (0.2%)

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

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

Compiler

Compiled 50 to 38 computations (24% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite36.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`pow1_binary64`
506×	`add-log-exp_binary64`
506×	`log1p-expm1-u_binary64`
506×	`expm1-log1p-u_binary64`
498×	`add-exp-log_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 → 36

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 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 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 expm1.f64 (log1p.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 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 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 expm1.f64 (log1p.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))))

simplify36.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
474×	`fma-def_binary64`
450×	`cancel-sign-sub-inv_binary64`
315×	`associate-l_binary64`
255×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	207
1	32	189
2	61	144
3	132	144
4	424	144
5	1493	144
6	2879	144
7	4277	144

Stop Event

1×	node limit

Counts

60 → 46

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

prune32.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Error

0.0b

Counts

48 → 7

Alt Table

Status	Error	Program
	7.5b	(*.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3)))
▶	0.2b	(-.f64 (.f64 6 x) (.f64 9 (pow.f64 x 2)))
	11.5b	(*.f64 x (pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2))
✓	0.2b	(*.f64 x (fma.f64 x -9 6))
	38.9b	(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) 3)))
	41.4b	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)

Compiler

Compiled 542 to 417 computations (23.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.3%)

Counts

2 → 3

Calls

6 calls:

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

rewrite44.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`
95×	`add-log-exp_binary64`
94×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	209	18
2	2494	18

Stop Event

1×	node limit

Counts

2 → 63

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

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

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

simplify57.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

624×	`sqr-pow_binary64`
513×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
285×	`cube-prod_binary64`
279×	`fabs-mul_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

Stop Event

1×	node limit

Counts

66 → 66

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))

prune44.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	66	7	73

Error

0.0b

Counts

73 → 7

Alt Table

Status	Error	Program
	10.2b	(-.f64 (.f64 6 x) (sqrt.f64 (.f64 (pow.f64 x 4) 81)))
	7.5b	(*.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3)))
	11.5b	(*.f64 x (pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2))
✓	0.2b	(*.f64 x (fma.f64 x -9 6))
▶	0.1b	(fma.f64 x 6 (.f64 (.f64 x x) -9))
	41.4b	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)

Compiler

Compiled 1323 to 810 computations (38.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

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

rewrite38.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
577×	`add-log-exp_binary64`
577×	`log1p-expm1-u_binary64`
577×	`expm1-log1p-u_binary64`
70×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	144	17
2	1591	17

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

simplify34.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-neg_binary64`
596×	`fma-def_binary64`
293×	`distribute-rgt-neg-in_binary64`
262×	`cancel-sign-sub-inv_binary64`
251×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	219
1	24	201
2	50	192
3	134	174
4	402	174
5	1345	174
6	2596	174
7	4165	174

Stop Event

1×	node limit

Counts

59 → 41

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

prune33.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	41	7	48

Error

0.0b

Counts

48 → 7

Alt Table

Status	Error	Program
	10.2b	(-.f64 (.f64 6 x) (sqrt.f64 (.f64 (pow.f64 x 4) 81)))
	7.5b	(*.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3)))
	11.5b	(*.f64 x (pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2))
✓	0.2b	(*.f64 x (fma.f64 x -9 6))
✓	0.1b	(fma.f64 x 6 (.f64 (.f64 x x) -9))
	41.4b	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)

Compiler

Compiled 569 to 433 computations (23.9% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x -9 6)
	0.1b	(*.f64 x (fma.f64 x -9 6))
✓	0.6b	(cbrt.f64 (*.f64 x (fma.f64 x -9 6)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)

series35.0ms (2.2%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
8.0ms	x	@	-inf	(cbrt.f64 (*.f64 x (fma.f64 x -9 6)))
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
1.0ms	x	@	0	(cbrt.f64 (*.f64 x (fma.f64 x -9 6)))

rewrite43.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`pow1_binary64`
677×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	191	18
2	1857	18

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

58 → 58

Calls

Call 1

Inputs

Outputs

prune53.0ms (3.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	102	9	111

Error

0.0b

Counts

111 → 9

Alt Table

Status	Error	Program
	10.2b	(-.f64 (.f64 6 x) (sqrt.f64 (.f64 (pow.f64 x 4) 81)))
	7.5b	(*.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3)))
	11.5b	(*.f64 x (pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2))
✓	0.2b	(*.f64 x (fma.f64 x -9 6))
	2.0b	(pow.f64 (*.f64 (cbrt.f64 (fma.f64 x -9 6)) (cbrt.f64 x)) 3)
	11.5b	(.f64 (sqrt.f64 (fma.f64 x -9 6)) (.f64 (sqrt.f64 (fma.f64 x -9 6)) x))
✓	0.1b	(fma.f64 x 6 (.f64 (.f64 x x) -9))
	41.4b	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)

Compiler

Compiled 1444 to 1144 computations (20.8% saved)

regimes57.0ms (3.6%)

Accuracy

Total 0.1b remaining (80.2%)

Threshold costs 0.1b (80.2%)

Counts

32 → 1

Compiler

Compiled 648 to 488 computations (24.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end101.0ms (6.4%)

Stop Event

1×

fuel

Compiler

Compiled 110 to 84 computations (23.6% saved)

Details

analyze4.0ms (0.3%)

sample814.0ms (51.7%)

preprocess37.0ms (2.4%)

simplify31.0ms (2%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series4.0ms (0.2%)

rewrite36.0ms (2.3%)

simplify36.0ms (2.3%)

prune32.0ms (2.1%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite44.0ms (2.8%)

simplify57.0ms (3.6%)

prune44.0ms (2.8%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite38.0ms (2.4%)

simplify34.0ms (2.2%)

prune33.0ms (2.1%)

localize7.0ms (0.4%)

series35.0ms (2.2%)

rewrite43.0ms (2.7%)

simplify6.0ms (0.4%)

prune53.0ms (3.4%)

regimes57.0ms (3.6%)

simplify2.0ms (0.1%)

end101.0ms (6.4%)

Profiling