Details

analyze3.0ms (0.1%)

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)

sample793.0ms (16.2%)

Results

638.0ms	7522×	body	256	valid
114.0ms	481×	body	1024	valid
31.0ms	253×	body	512	valid
0.0ms	4×	body	256	invalid

preprocess36.0ms (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)

simplify43.0ms (0.9%)

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize10.0ms (0.2%)

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)

Compiler

Compiled 28 to 22 computations (21.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite47.0ms (1%)

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

simplify132.0ms (2.7%)

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)

localize8.0ms (0.2%)

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))

Compiler

Compiled 14 to 10 computations (28.6% saved)

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

rewrite54.0ms (1.1%)

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

simplify134.0ms (2.7%)

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)

eval30.0ms (0.6%)

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

prune59.0ms (1.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	104	16	120
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	105	17	122

Error

0.0b

Counts

122 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	41.4b	(.f64 (.f64 3 (*.f64 -3 x)) x)
	41.3b	(*.f64 -9 (pow.f64 x 2))
	0.3b	(.f64 (.f64 3 (/.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (*.f64 3 x)))) x)
▶	44.1b	(exp.f64 (log.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))))
	10.9b	(.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))
✓	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	0.3b	(.f64 (/.f64 (.f64 3 (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (*.f64 3 x))) x)
	1.4b	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 3)
	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
	41.3b	(.f64 x (.f64 -9 x))
▶	21.5b	(*.f64 x 6)
	8.2b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (+.f64 2 (*.f64 x -3))) 3)) x)
	41.3b	(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 3 (+.f64 2 (*.f64 x -3))) 3)))
▶	0.2b	(+.f64 (.f64 x (.f64 x -9)) (*.f64 x 6))
	42.4b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 2)
▶	39.1b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 1)

Compiler

Compiled 378 to 306 computations (19% saved)

localize40.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
841×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	15
2	2297	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify140.0ms (2.9%)

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

77 → 59

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))

localize39.0ms (0.8%)

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

localize20.0ms (0.4%)

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)

Compiler

Compiled 54 to 43 computations (20.4% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite99.0ms (2%)

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

simplify145.0ms (2.9%)

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)

localize21.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.9b	(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))))
✓	1.9b	(exp.f64 (log.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))))

Compiler

Compiled 50 to 39 computations (22% saved)

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))))))

rewrite49.0ms (1%)

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 log1p.f64 (expm1.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 x -3 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))

simplify144.0ms (2.9%)

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))

localize22.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))) 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))))
✓	0.3b	(pow.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))) 3)
✓	40.3b	(cbrt.f64 (pow.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))) 3))

Compiler

Compiled 52 to 41 computations (21.2% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
372×	`exp-prod_binary64`
326×	`pow-prod-down_binary64`
275×	`prod-diff_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	248	25
2	2877	25

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))) 3))
(pow.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))) 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 (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 (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 1 (*.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 (*.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 (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 (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 (*.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 (*.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 pow.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)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 729 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 6)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (*.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)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 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 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 2)) (cbrt.f64 (log.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 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x -3 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 log1p.f64 (expm1.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 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 3))))) (#(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 2 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))) 3/2))))) (#(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 (*.f64 3 (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 (*.f64 3 (log.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 1) 1/3))))) (#(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 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 +.f64 0 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)) 27)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)) 27))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (*.f64 x (fma.f64 x -3 2)) (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x -3 2)) (*.f64 3 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2) (*.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) (*.f64 (cbrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))) (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3) 27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3/2) (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (*.f64 (fma.f64 x -3 2) (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 (fma.f64 x -3 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 5/2) (sqrt.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2) 3) (*.f64 x (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2) (*.f64 x (fma.f64 x -3 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2) 1) (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) (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 (*.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 2) (*.f64 3 x)) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 729 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (fma.f64 x -3 2)) 3)) 27))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.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 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.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 (*.f64 (*.f64 3 (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 (*.f64 3 (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))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (fma.f64 x -3 2) (*.f64 3 x)) 3)))))))

simplify93.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

581×	`distribute-rgt-out_binary64`
492×	`unswap-sqr_binary64`
453×	`*-commutative_binary64`
450×	`associate-l_binary64`
441×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	362
1	96	353
2	225	338
3	662	315
4	2369	311
5	4644	311
6	4942	311
7	5398	311
8	6224	311
9	7163	311
10	7879	311

Stop Event

1×	node limit

Counts

125 → 122

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 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27)))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(*.f64 216 (pow.f64 x 3))
(+.f64 (.f64 -972 (pow.f64 x 4)) (.f64 216 (pow.f64 x 3)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (*.f64 1458 (pow.f64 x 5))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(*.f64 -729 (pow.f64 x 6))
(+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 1458 (pow.f64 x 5)) (*.f64 -729 (pow.f64 x 6))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(*.f64 -729 (pow.f64 x 6))
(+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 1458 (pow.f64 x 5)) (*.f64 -729 (pow.f64 x 6))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27)))
(.f64 3 (.f64 (*.f64 x x) (cbrt.f64 -27)))
(.f64 (.f64 x x) (*.f64 (cbrt.f64 -27) 3))
(.f64 (cbrt.f64 -27) (.f64 x (*.f64 x 3)))
(.f64 x (.f64 (cbrt.f64 -27) (*.f64 x 3)))
(.f64 x (.f64 3 (*.f64 x (cbrt.f64 -27))))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(fma.f64 -2 (.f64 x (cbrt.f64 -27)) (.f64 3 (.f64 (.f64 x x) (cbrt.f64 -27))))
(.f64 (cbrt.f64 -27) (+.f64 (.f64 (.f64 x x) 3) (.f64 x -2)))
(.f64 (cbrt.f64 -27) (.f64 x (+.f64 (*.f64 x 3) -2)))
(.f64 (.f64 x (cbrt.f64 -27)) (fma.f64 x 3 -2))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(fma.f64 -2 (.f64 x (cbrt.f64 -27)) (.f64 3 (.f64 (.f64 x x) (cbrt.f64 -27))))
(.f64 (cbrt.f64 -27) (+.f64 (.f64 (.f64 x x) 3) (.f64 x -2)))
(.f64 (cbrt.f64 -27) (.f64 x (+.f64 (*.f64 x 3) -2)))
(.f64 (.f64 x (cbrt.f64 -27)) (fma.f64 x 3 -2))
(+.f64 (.f64 -2 (.f64 x (cbrt.f64 -27))) (.f64 3 (.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(fma.f64 -2 (.f64 x (cbrt.f64 -27)) (.f64 3 (.f64 (.f64 x x) (cbrt.f64 -27))))
(.f64 (cbrt.f64 -27) (+.f64 (.f64 (.f64 x x) 3) (.f64 x -2)))
(.f64 (cbrt.f64 -27) (.f64 x (+.f64 (*.f64 x 3) -2)))
(.f64 (.f64 x (cbrt.f64 -27)) (fma.f64 x 3 -2))
(*.f64 216 (pow.f64 x 3))
(+.f64 (.f64 -972 (pow.f64 x 4)) (.f64 216 (pow.f64 x 3)))
(fma.f64 -972 (pow.f64 x 4) (*.f64 216 (pow.f64 x 3)))
(fma.f64 216 (pow.f64 x 3) (*.f64 -972 (pow.f64 x 4)))
(.f64 (pow.f64 x 3) (+.f64 216 (.f64 x -972)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (*.f64 1458 (pow.f64 x 5))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (*.f64 1458 (pow.f64 x 5))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (*.f64 1458 (pow.f64 x 5))))
(fma.f64 1458 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 216 (.f64 x -972))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 1458 (pow.f64 x 5) (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) (+.f64 216 (.f64 x -972)))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))))
(*.f64 -729 (pow.f64 x 6))
(+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))
(fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))
(.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 1458 (pow.f64 x 5)) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 -972 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 1458 (pow.f64 x 5) (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) (+.f64 216 (.f64 x -972)))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))))
(*.f64 -729 (pow.f64 x 6))
(+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))
(fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))
(.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 1458 (pow.f64 x 5)) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6))))
(fma.f64 -972 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729))))
(+.f64 (.f64 -972 (pow.f64 x 4)) (+.f64 (.f64 216 (pow.f64 x 3)) (+.f64 (.f64 1458 (pow.f64 x 5)) (.f64 -729 (pow.f64 x 6)))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (fma.f64 1458 (pow.f64 x 5) (*.f64 -729 (pow.f64 x 6)))))
(fma.f64 1458 (pow.f64 x 5) (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) (+.f64 216 (.f64 x -972)))))
(fma.f64 -972 (pow.f64 x 4) (fma.f64 216 (pow.f64 x 3) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))))
(fma.f64 216 (pow.f64 x 3) (fma.f64 -972 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 1458 (.f64 x -729)))))

eval262.0ms (5.3%)

Compiler: Compiled 10576 to 8320 computations (21.3% saved)

prune97.0ms (2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	637	8	645
Fresh	5	6	11
Picked	1	0	1
Done	3	2	5
Total	646	16	662

Error

0.0b

Counts

662 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(.f64 (.f64 x (cbrt.f64 -27)) (fma.f64 x 3 -2))
✓	21.5b	(*.f64 x 6)
▶	0.1b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
▶	0.2b	(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
	10.9b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (*.f64 x -3)))) 2) x)
✓	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	0.3b	(.f64 (/.f64 (.f64 3 (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (*.f64 3 x))) x)
	41.5b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x -3)))) 1)
	1.4b	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 3)
	0.3b	(+.f64 (.f64 2 (.f64 3 x)) (.f64 (.f64 x -3) (*.f64 3 x)))
	41.4b	(.f64 (.f64 3 (*.f64 -3 x)) x)
▶	41.3b	(.f64 x (.f64 x -9))
	11.0b	(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
▶	7.4b	(/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (*.f64 3 x)))
▶	42.4b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 2)
	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))

Compiler

Compiled 350 to 275 computations (21.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (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	11
1	143	10
2	1589	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify136.0ms (2.8%)

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

34 → 27

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))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify19.0ms (0.4%)

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

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	175	17
2	2259	17

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

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 -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 cbrt.f64 (*.f64 -729 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -9 (*.f64 x x))))))))

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

simplify141.0ms (2.9%)

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

75 → 57

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))

localize47.0ms (1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	6.8b	(/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (*.f64 3 x)))
	0.2b	(.f64 9 (.f64 x x))
	0.1b	(.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x))))
	0.0b	(+.f64 2 (*.f64 3 x))
✓	0.0b	(+.f64 2 (*.f64 3 x))
✓	0.1b	(.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x))))
✓	0.2b	(.f64 9 (.f64 x x))
✓	6.8b	(/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (*.f64 3 x)))

Compiler

Compiled 57 to 37 computations (35.1% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`log-prod_binary64`
449×	`prod-diff_binary64`
264×	`fma-def_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	295	44
2	3988	42

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x))))) (cbrt.f64 (exp.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (/.f64 (.f64 x (fma.f64 (.f64 x x) -9 4)) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 (.f64 x (fma.f64 (.f64 x x) -9 4)) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 x) (/.f64 1 (/.f64 1 (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 x) (.f64 (fma.f64 (.f64 x x) -9 4) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -9 4) (.f64 (.f64 3 x) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4))) (/.f64 1 (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))) 2) (cbrt.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4)))) 2) (.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4)))) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))) (sqrt.f64 (.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4)))) (.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4)))) (/.f64 1 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -3 (.f64 x (fma.f64 (.f64 x x) -9 4))) (/.f64 1 (neg.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 3 x 2)) (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 x x) -9 4) 1) (/.f64 (.f64 3 x) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 x) (fma.f64 3 x 2)) (fma.f64 (.f64 x x) -9 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4)))) 2) 1) (/.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4)))) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4)))) 1) (/.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 (.f64 x x) -9 4)))) (fma.f64 3 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3 (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2)) (/.f64 (.f64 x (fma.f64 (.f64 x x) -9 4)) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 x) (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2)) (/.f64 (fma.f64 (.f64 x x) -9 4) (cbrt.f64 (fma.f64 3 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 x x) -9 4) (pow.f64 (cbrt.f64 (fma.f64 3 x 2)) 2)) (/.f64 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simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
568×	`distribute-lft-in_binary64`
568×	`distribute-rgt-in_binary64`
547×	`associate-l_binary64`
536×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	372
1	45	372
2	84	363
3	198	345
4	512	345
5	1880	345
6	3215	345
7	3493	345
8	4065	345
9	5140	345
10	7123	345
11	7636	345

Stop Event

1×	node limit

Counts

187 → 156

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 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 12 x)
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(*.f64 -27 (pow.f64 x 3))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(*.f64 -27 (pow.f64 x 3))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
2
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)

Outputs
(*.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 (.f64 x -9) 6))
(*.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 (.f64 x -9) 6))
(*.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 (.f64 x -9) 6))
(*.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 (.f64 x -9) 6))
(*.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 (.f64 x -9) 6))
(*.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 (.f64 x -9) 6))
(*.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 (.f64 x -9) 6))
(*.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 (.f64 x -9) 6))
(*.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 (.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 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 12 x)
(*.f64 x 12)
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(fma.f64 -27 (pow.f64 x 3) (*.f64 x 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(fma.f64 -27 (pow.f64 x 3) (*.f64 x 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 -27 (pow.f64 x 3)) (.f64 12 x))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(fma.f64 -27 (pow.f64 x 3) (*.f64 x 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(*.f64 -27 (pow.f64 x 3))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(fma.f64 -27 (pow.f64 x 3) (*.f64 x 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(fma.f64 -27 (pow.f64 x 3) (*.f64 x 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(fma.f64 -27 (pow.f64 x 3) (*.f64 x 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(*.f64 -27 (pow.f64 x 3))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(fma.f64 -27 (pow.f64 x 3) (*.f64 x 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(fma.f64 -27 (pow.f64 x 3) (*.f64 x 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
(+.f64 (.f64 12 x) (.f64 -27 (pow.f64 x 3)))
(fma.f64 12 x (*.f64 -27 (pow.f64 x 3)))
(fma.f64 x 12 (*.f64 -27 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -27 12))
(fma.f64 -27 (pow.f64 x 3) (*.f64 x 12))
(.f64 x (fma.f64 x (.f64 x -27) 12))
2
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(+.f64 (*.f64 3 x) 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)

localize48.0ms (1%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 51 to 40 computations (21.6% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))) 2)
1.0ms	x	@	0	(sqrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))))
0.0ms	x	@	-inf	(sqrt.f64 (.f64 3 (.f64 x (+.f64 2 (*.f64 x -3)))))

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
364×	`exp-prod_binary64`
316×	`pow-prod-down_binary64`
275×	`prod-diff_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	244	24
2	2790	24

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

939×	`associate-/l*_binary64`
475×	`fma-neg_binary64`
415×	`fma-def_binary64`
380×	`associate-*l/_binary64`
283×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	498
1	244	340
2	904	314
3	3226	302

Stop Event

1×	node limit

Counts

110 → 119

Calls

Call 1

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

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

eval157.0ms (3.2%)

Compiler: Compiled 7697 to 5949 computations (22.7% saved)

prune93.0ms (1.9%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	441	8	449
Fresh	5	4	9
Picked	1	0	1
Done	1	5	6
Total	448	17	465

Error

Counts

465 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(.f64 (.f64 x (cbrt.f64 -27)) (fma.f64 x 3 -2))
✓	21.5b	(*.f64 x 6)
	41.4b	(.f64 (.f64 3 (*.f64 -3 x)) x)
	11.0b	(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
▶	0.3b	(.f64 (/.f64 (.f64 3 x) 1) (+.f64 2 (*.f64 -3 x)))
▶	41.3b	(.f64 -9 (.f64 x x))
✓	0.1b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
✓	0.2b	(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
▶	42.7b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x 2))) 2)
	11.7b	(.f64 (/.f64 (fma.f64 (.f64 x x) -9 4) (sqrt.f64 (fma.f64 3 x 2))) (/.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 3 x 2))))
	10.9b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (+.f64 2 (*.f64 x -3)))) 2) x)
✓	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	49.3b	(/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (*.f64 3 x))
✓	41.3b	(.f64 x (.f64 x -9))
▶	0.3b	(.f64 (/.f64 (.f64 3 (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (*.f64 3 x))) x)
	0.4b	(pow.f64 (/.f64 (/.f64 1 (+.f64 2 (.f64 -3 x))) (.f64 3 x)) -1)
▶	0.2b	(.f64 x (+.f64 (.f64 -9 x) 6))

Compiler

Compiled 345 to 272 computations (21.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 21

Calls

6 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
744×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	159	13
2	2042	13

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

simplify140.0ms (2.9%)

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	11	168
1	22	156
2	36	129
3	62	129
4	154	129
5	471	129
6	1686	129
7	2944	129
8	3148	129
9	3361	129
10	3581	129
11	3887	129
12	4287	129
13	4795	129
14	5356	129
15	6046	129
16	6881	129
17	7277	129
18	7567	129
19	7845	129
20	7919	129
21	7955	129

Stop Event

1×	node limit

Counts

77 → 65

Calls

Call 1

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

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

localize6.0ms (0.1%)

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))

Compiler

Compiled 11 to 5 computations (54.5% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (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

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

series1.0ms (0%)

Counts

2 → 18

Calls

6 calls:

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

rewrite86.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`pow1_binary64`
855×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
107×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	244	16
2	2965	16

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

800×	`sqr-pow_binary64`
605×	`associate-l_binary64`
540×	`cube-prod_binary64`
535×	`fabs-mul_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	141
1	24	141
2	39	132
3	79	114
4	191	114
5	532	114
6	1905	114
7	3173	114
8	3377	114
9	3591	114
10	3811	114
11	4117	114
12	4519	114
13	5029	114
14	5590	114
15	6278	114
16	7115	114
17	7507	114
18	7797	114

Stop Event

1×	node limit

Counts

100 → 91

Calls

Call 1

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

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

localize81.0ms (1.7%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 70 to 47 computations (32.9% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`log-prod_binary64`
449×	`prod-diff_binary64`
266×	`fma-def_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	315	36
2	4219	34

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

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

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

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

simplify123.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	276
1	29	258
2	48	231
3	87	231
4	219	231
5	649	231
6	974	231
7	1413	231
8	1516	231
9	1649	231
10	1821	231
11	2066	231
12	2379	231
13	2749	231
14	3206	231
15	3785	231
16	4495	231
17	5349	231
18	5771	231
19	6083	231
20	6391	231
21	6471	231
22	6507	231

Stop Event

1×	node limit

Counts

135 → 116

Calls

Call 1

Inputs
12
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(*.f64 -27 (pow.f64 x 2))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(*.f64 -27 (pow.f64 x 2))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))

Outputs
12
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 -27 (.f64 x x)))
(fma.f64 -27 (*.f64 x x) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 -27 (.f64 x x)))
(fma.f64 -27 (*.f64 x x) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 -27 (.f64 x x)))
(fma.f64 -27 (*.f64 x x) 12)
(*.f64 -27 (pow.f64 x 2))
(.f64 -27 (.f64 x x))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 -27 (.f64 x x)))
(fma.f64 -27 (*.f64 x x) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 -27 (.f64 x x)))
(fma.f64 -27 (*.f64 x x) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 -27 (.f64 x x)))
(fma.f64 -27 (*.f64 x x) 12)
(*.f64 -27 (pow.f64 x 2))
(.f64 -27 (.f64 x x))
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 -27 (.f64 x x)))
(fma.f64 -27 (*.f64 x x) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 -27 (.f64 x x)))
(fma.f64 -27 (*.f64 x x) 12)
(+.f64 12 (*.f64 -27 (pow.f64 x 2)))
(+.f64 12 (.f64 -27 (.f64 x x)))
(fma.f64 -27 (*.f64 x x) 12)
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.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 x 6 (.f64 x (.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 x 6 (.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)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.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 x 6 (.f64 x (.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 x 6 (.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)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 x 6 (.f64 x (.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 x 6 (.f64 x (.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 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x 2))) 2)
	0.1b	(sqrt.f64 (.f64 3 (.f64 x 2)))
✓	0.1b	(sqrt.f64 (.f64 3 (.f64 x 2)))
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x 2))) 2)

Compiler

Compiled 26 to 21 computations (19.2% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(sqrt.f64 (.f64 3 (.f64 x 2)))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x 2))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x 2))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x 2))) 2)
0.0ms	x	@	0	(sqrt.f64 (.f64 3 (.f64 x 2)))

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
558×	`add-log-exp_binary64`
557×	`log1p-expm1-u_binary64`
557×	`expm1-log1p-u_binary64`
546×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	168	10
2	1612	10

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

53 → 53

Calls

Call 1

Inputs

Outputs

eval191.0ms (3.9%)

Compiler: Compiled 5055 to 3896 computations (22.9% saved)

prune78.0ms (1.6%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	349	7	356
Fresh	5	2	7
Picked	1	0	1
Done	1	8	9
Total	356	17	373

Error

Counts

373 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 (*.f64 3 (fma.f64 x -3 2)) (/.f64 1 x))
	41.4b	(.f64 (/.f64 (.f64 3 x) 1) (*.f64 -3 x))
✓	41.3b	(.f64 -9 (.f64 x x))
	40.7b	(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)))) (-.f64 (.f64 x 6) (.f64 9 (*.f64 x x))))
✓	41.3b	(.f64 x (.f64 x -9))
	0.4b	(/.f64 x (.f64 1/3 (/.f64 1 (+.f64 2 (.f64 -3 x)))))
✓	0.1b	(fma.f64 x 6 (.f64 x (.f64 x -9)))
✓	0.2b	(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
✓	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
	49.3b	(/.f64 (.f64 (.f64 3 x) (-.f64 4 (.f64 9 (.f64 x x)))) (*.f64 3 x))
✓	0.3b	(.f64 (/.f64 (.f64 3 (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (*.f64 3 x))) x)
	22.0b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x 2))
	0.4b	(/.f64 (fma.f64 x -3 2) (/.f64 1/3 x))
✓	21.5b	(*.f64 x 6)
	41.4b	(.f64 (.f64 3 (*.f64 -3 x)) x)
	42.7b	(pow.f64 (pow.f64 (*.f64 x 6) 1/2) 2)
✓	0.2b	(.f64 x (+.f64 (.f64 -9 x) 6))

Compiler

Compiled 184 to 138 computations (25% saved)

regimes33.0ms (0.7%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	x
8.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 180 to 127 computations (29.4% saved)

regimes20.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
8.0ms	(.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 147 to 101 computations (31.3% saved)

regimes11.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch53.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	0.0029421815227809534	3.226869379285251
15.0ms	-3640.325933075684	-0.0057880256772278186

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes10.0ms (0.2%)

Accuracy

Total -58.7b remaining (-2835.8%)

Threshold costs -58.7b (-2835.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch42.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.0029421815227809534	3.226869379285251
29.0ms	-3640.325933075684	-0.0057880256772278186

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	85
1	28	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 (.f64 -9 x) 6))
(if (<=.f64 x -8005161384622463/2199023255552) (.f64 x (.f64 x -9)) (if (<=.f64 x 3392104348071081/1152921504606846976) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -8005161384622463/2199023255552) (.f64 x (.f64 x -9)) (if (<=.f64 x 3392104348071081/1152921504606846976) (.f64 x 6) (.f64 x (*.f64 x -9))))
(*.f64 x 6)

Outputs
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(.f64 x (+.f64 (.f64 -9 x) 6))
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -8005161384622463/2199023255552) (.f64 x (.f64 x -9)) (if (<=.f64 x 3392104348071081/1152921504606846976) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -8005161384622463/2199023255552) (.f64 x (.f64 x -9)) (if (<=.f64 x 3392104348071081/1152921504606846976) (.f64 x 6) (.f64 x (*.f64 x -9))))
(*.f64 x 6)

end42.0ms (0.9%)

Stop Event

1×

fuel

Compiler

Compiled 126 to 86 computations (31.7% saved)