Details

analyze4.0ms (0.2%)

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)

sample821.0ms (55.3%)

Results

617.0ms	7419×	body	128	valid
123.0ms	474×	body	1024	valid
52.0ms	239×	body	512	valid
16.0ms	124×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 22 to 18 computations (18.2% saved)

preprocess40.0ms (2.7%)

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 10 to 8 computations (20% saved)

simplify30.0ms (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
	0.3b	(.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 1 expressions with local error:

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

series2.0ms (0.2%)

Counts

1 → 12

Calls

3 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))

rewrite31.0ms (2.1%)

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	8
1	122	8
2	1338	8

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.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 (+.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 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))))))))

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 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))))))))

simplify32.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	135
1	24	117
2	50	108
3	135	90
4	400	90
5	1349	90
6	2613	90
7	4183	90

Stop Event

1×	node limit

Counts

27 → 20

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

prune19.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	14	6	20
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	15	7	22

Error

0.1b

Counts

22 → 7

Alt Table

Status	Error	Program
	0.2b	(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
▶	0.2b	(-.f64 (.f64 6 x) (.f64 9 (pow.f64 x 2)))
	44.8b	(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) 3)))
	44.8b	(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
	42.7b	(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 309 to 239 computations (22.7% saved)

localize6.0ms (0.4%)

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))

series3.0ms (0.2%)

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))
0.0ms	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)))

rewrite44.0ms (3%)

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

simplify57.0ms (3.9%)

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))

prune53.0ms (3.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Error

0.0b

Counts

73 → 7

Alt Table

Status	Error	Program
	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	11.4b	(+.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))))
	11.4b	(-.f64 (.f64 6 x) (sqrt.f64 (.f64 (pow.f64 x 4) 81)))
	0.3b	(-.f64 (.f64 6 x) (pow.f64 (.f64 x 3) 2))
	42.7b	(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)
▶	0.1b	(fma.f64 x 6 (.f64 (.f64 x x) -9))

Compiler

Compiled 1374 to 843 computations (38.6% saved)

localize4.0ms (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)

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite39.0ms (2.6%)

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 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 (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 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)))))))))

simplify38.0ms (2.5%)

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))

prune35.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Error

0.0b

Counts

48 → 7

Alt Table

Status	Error	Program
	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	11.4b	(+.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))))
	0.3b	(-.f64 (.f64 6 x) (pow.f64 (.f64 x 3) 2))
	1.4b	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))) 2))
▶	0.2b	(*.f64 x (fma.f64 -9 x 6))
	42.7b	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
✓	0.1b	(fma.f64 x 6 (.f64 (.f64 x x) -9))

Compiler

Compiled 632 to 474 computations (25% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite33.0ms (2.2%)

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	8
1	122	8
2	1339	8

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

simplify33.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	135
1	24	117
2	50	108
3	135	90
4	400	90
5	1349	90
6	2613	90
7	4183	90

Stop Event

1×	node limit

Counts

27 → 20

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

prune16.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	20	7	27

Error

0.0b

Counts

27 → 7

Alt Table

Status	Error	Program
	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	11.4b	(+.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))))
	0.3b	(-.f64 (.f64 6 x) (pow.f64 (.f64 x 3) 2))
	1.4b	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))) 2))
✓	0.2b	(*.f64 x (fma.f64 -9 x 6))
	42.7b	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
✓	0.1b	(fma.f64 x 6 (.f64 (.f64 x x) -9))

Compiler

Compiled 260 to 195 computations (25% saved)

regimes41.0ms (2.8%)

Accuracy

Total 0.1b remaining (65%)

Threshold costs 0.1b (65%)

Counts

32 → 1

Compiler

Compiled 376 to 257 computations (31.6% 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))

end88.0ms (5.9%)

Stop Event

1×

fuel

Compiler

Compiled 113 to 82 computations (27.4% saved)

Details

analyze4.0ms (0.2%)

sample821.0ms (55.3%)

preprocess40.0ms (2.7%)

simplify30.0ms (2%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series2.0ms (0.2%)

rewrite31.0ms (2.1%)

simplify32.0ms (2.2%)

prune19.0ms (1.3%)

localize6.0ms (0.4%)

series3.0ms (0.2%)

rewrite44.0ms (3%)

simplify57.0ms (3.9%)

prune53.0ms (3.6%)

localize4.0ms (0.3%)

series3.0ms (0.2%)

rewrite39.0ms (2.6%)

simplify38.0ms (2.5%)

prune35.0ms (2.3%)

localize3.0ms (0.2%)

series1.0ms (0.1%)

rewrite33.0ms (2.2%)

simplify33.0ms (2.2%)

prune16.0ms (1.1%)

regimes41.0ms (2.8%)

simplify2.0ms (0.1%)

end88.0ms (5.9%)

Profiling