Details

analyze9.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
57.1%	50%	37.5%	0%	12.5%	0%	0%	4
76.9%	62.5%	18.7%	0%	18.7%	0%	0%	5
88%	68.7%	9.4%	0%	21.9%	0%	0%	6
93.9%	71.8%	4.7%	0%	23.4%	0%	0%	7
96.9%	73.4%	2.3%	0%	24.2%	0%	0%	8
98.4%	74.2%	1.2%	0%	24.6%	0%	0%	9
99.2%	74.6%	0.6%	0%	24.8%	0%	0%	10
99.6%	74.8%	0.3%	0%	24.9%	0%	0%	11
99.8%	74.9%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.9s (20.7%)

Results

1.8s	8256×	body	256	valid
2.0ms	14×	body	256	infinite

Bogosity

preprocess98.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

954×	`fma-def_binary64`
722×	`fma-neg_binary64`
150×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
76×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	33	14
2	76	12
3	186	12
4	380	9
5	545	9
6	872	9
7	1533	9
8	2421	9
9	2802	9
10	2913	9
11	3039	9
12	3045	9
13	3045	9
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Outputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(+.f64 (.f64 (fma.f64 (.f64 3 x) x (neg.f64 (*.f64 x 4))) 3) 3)
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 15 to 12 computations (20% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-def_binary64`
722×	`fma-neg_binary64`
150×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
76×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	33	14
2	76	12
3	186	12
4	380	9
5	545	9
6	872	9
7	1533	9
8	2421	9
9	2802	9
10	2913	9
11	3039	9
12	3045	9
13	3045	9

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Outputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(+.f64 (.f64 (fma.f64 (.f64 3 x) x (neg.f64 (*.f64 x 4))) 3) 3)
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(fma.f64 x (fma.f64 x 9 -12) 3)

eval1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% 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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
▶	0.1b	(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 35 computations (28.6% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite117.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`fma-def_binary64`
571×	`log-prod_binary64`
400×	`fma-neg_binary64`
343×	`pow-prod-down_binary64`
303×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	256	44
2	3359	36

Stop Event

1×	node limit

Counts

4 → 363

Calls

Call 1

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

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

simplify317.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	455
1	45	429
2	81	416
3	160	354
4	359	354
5	949	354
6	1462	354
7	1930	354
8	2040	354
9	2172	354
10	2341	354
11	2584	354
12	2897	354
13	3267	354
14	3724	354
15	4311	354
16	5019	354
17	5877	354
18	6301	354
19	6617	354
20	6925	354
21	7007	354
22	7043	354

Stop Event

1×	node limit

Counts

411 → 383

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 -4 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
1
(+.f64 1 (*.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
1
(+.f64 1 (*.f64 -4 x))
(+.f64 (*.f64 x -4) 1)
(fma.f64 x -4 1)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 9 -12)
✓	0.1b	(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 16 to 12 computations (25% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	-inf	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	inf	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	0	(fma.f64 x 9 -12)
0.0ms	x	@	-inf	(fma.f64 x 9 -12)

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`pow1_binary64`
568×	`add-log-exp_binary64`
568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
559×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	142	14
2	1495	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(fma.f64 x 9 -12)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) (-.f64 9 (.f64 (.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 9) 1) -12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 9) 3) -1728) (+.f64 (.f64 (.f64 x 9) (.f64 x 9)) (-.f64 144 (.f64 (.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 9) 1) -12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 9) 3) -1728) (+.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) (-.f64 144 (*.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12)))))))

simplify159.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
540×	`cube-prod_binary64`
537×	`fabs-mul_binary64`
532×	`associate-l_binary64`
494×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	180
1	35	168
2	56	156
3	88	144
4	194	144
5	521	144
6	1793	144
7	3129	144
8	3334	144
9	3546	144
10	3766	144
11	4081	144
12	4483	144
13	4994	144
14	5563	144
15	6251	144
16	7088	144
17	7478	144
18	7770	144

Stop Event

1×	node limit

Counts

66 → 56

Calls

Call 1

Inputs
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
-12
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)

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

eval212.0ms (2.4%)

Compiler: Compiled 8449 to 6577 computations (22.2% saved)

prune202.0ms (2.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	428	11	439
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	429	12	441

Error

0.0b

Counts

441 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12)) 3)
▶	0.1b	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
	0.1b	(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)
▶	0.1b	(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
	41.9b	(*.f64 9 (pow.f64 x 2))
✓	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
	21.0b	(+.f64 (*.f64 -12 x) 3)
	20.9b	3
▶	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
▶	41.3b	(*.f64 x (fma.f64 x 9 -12))
	41.3b	(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
▶	42.0b	(.f64 x (.f64 x 9))

Compiler

Compiled 218 to 173 computations (20.6% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
✓	0.2b	(*.f64 9 (pow.f64 x 2))

Compiler

Compiled 35 to 28 computations (20% saved)

series10.0ms (0.1%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
1.0ms	x	@	0	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
1.0ms	x	@	inf	(*.f64 9 (pow.f64 x 2))
1.0ms	x	@	0	(*.f64 9 (pow.f64 x 2))
0.0ms	x	@	-inf	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
408×	`fma-def_binary64`
368×	`exp-prod_binary64`
316×	`pow-prod-down_binary64`
289×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	247	19
2	3071	19

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

Inputs
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))) (/.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 2) (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (/.f64 1 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)) (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)) (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 x (*.f64 -12 (fma.f64 9 (*.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))) (neg.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))) (neg.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x -12 3) 3) (*.f64 (pow.f64 x 6) 729)) (+.f64 (pow.f64 (fma.f64 x -12 3) 2) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (*.f64 (*.f64 x x) 144)) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x -12 3) 2) (*.f64 (pow.f64 x 4) 81)) (-.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)) (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)) (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))) 2)) (cbrt.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))) (sqrt.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x)))) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (exp.f64 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) -12) (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3))) (pow.f64 (exp.f64 x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 9 (*.f64 x x) 3)) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3))) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x -12 3)) (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (*.f64 x x)) 1 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -12) 1 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 9 (*.f64 x x) 3) 1 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (*.f64 x x)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -12)) (cbrt.f64 (*.f64 (*.f64 x x) 144)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 144)) (cbrt.f64 (*.f64 x -12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (cbrt.f64 (*.f64 9 (*.f64 x x))) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) 2) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) 2) (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -12)) (sqrt.f64 (*.f64 x -12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) (*.f64 x 3) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 729 27) (/.f64 1 (fma.f64 (*.f64 9 (*.f64 x x)) (fma.f64 9 (*.f64 x x) -3) 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 (pow.f64 x 4) 81)) (/.f64 1 (+.f64 3 (*.f64 -9 (*.f64 x x)))) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -12 3) 1 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2) (cbrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 x) x (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -12 3))))))

simplify170.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
555×	`cube-prod_binary64`
548×	`fabs-mul_binary64`
546×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	22	42
2	37	40
3	74	36
4	176	36
5	500	36
6	1751	36
7	3015	36
8	3219	36
9	3432	36
10	3652	36
11	3961	36
12	4361	36
13	4874	36
14	5440	36
15	6124	36
16	6959	36
17	7357	36
18	7649	36
19	7925	36
20	7997	36

Stop Event

1×	node limit

Counts

113 → 114

Calls

Call 1

Inputs
3
(+.f64 (*.f64 -12 x) 3)
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite189.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

445×	`pow1_binary64`
429×	`add-sqr-sqrt_binary64`
422×	`*-un-lft-identity_binary64`
413×	`add-log-exp_binary64`
413×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1141	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify183.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2470	84
10	2678	84
11	2973	84
12	3364	84
13	3847	84
14	4415	84
15	5099	84
16	5934	84
17	6330	84
18	6618	84
19	6894	84
20	6966	84
21	7002	84
22	7943	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 30 computations (38.8% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 3 (.f64 x x))
0.0ms	x	@	inf	(.f64 3 (.f64 x x))
0.0ms	x	@	-inf	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
0.0ms	x	@	inf	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
0.0ms	x	@	-inf	(.f64 3 (.f64 x x))

rewrite306.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`fma-def_binary64`
557×	`log-prod_binary64`
398×	`fma-neg_binary64`
336×	`pow-prod-down_binary64`
299×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	256	44
2	3375	36

Stop Event

1×	node limit

Counts

4 → 345

Calls

Call 1

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

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

simplify230.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	455
1	45	429
2	81	416
3	160	354
4	359	354
5	949	354
6	1462	354
7	1930	354
8	2040	354
9	2172	354
10	2341	354
11	2584	354
12	2897	354
13	3267	354
14	3724	354
15	4311	354
16	5019	354
17	5877	354
18	6301	354
19	6617	354
20	6925	354
21	7007	354
22	7043	354

Stop Event

1×	node limit

Counts

393 → 363

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 -4 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
1
(+.f64 1 (*.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
1
(+.f64 1 (*.f64 -4 x))
(+.f64 (*.f64 x -4) 1)
(fma.f64 x -4 1)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1 (.f64 -4 x)))
(fma.f64 3 (.f64 x x) (+.f64 (.f64 x -4) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))
(fma.f64 x (fma.f64 3 x -4) 1)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x 9 -12)
✓	0.1b	(*.f64 x (fma.f64 x 9 -12))

Compiler

Compiled 14 to 10 computations (28.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (fma.f64 x 9 -12))
0.0ms	x	@	-inf	(*.f64 x (fma.f64 x 9 -12))
0.0ms	x	@	inf	(*.f64 x (fma.f64 x 9 -12))

rewrite102.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`pow1_binary64`
526×	`add-sqr-sqrt_binary64`
504×	`add-log-exp_binary64`
504×	`log1p-expm1-u_binary64`
504×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	123	8
2	1338	8

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x 9 -12))

Outputs

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

simplify199.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3371	90
10	3591	90
11	3904	90
12	4306	90
13	4819	90
14	5387	90
15	6071	90
16	6908	90
17	7304	90
18	7594	90
19	7868	90
20	7944	90
21	7980	90

Stop Event

1×	node limit

Counts

25 → 18

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 3 -4)
✓	0.1b	(*.f64 x (fma.f64 x 3 -4))
✓	0.1b	(.f64 3 (.f64 x (fma.f64 x 3 -4)))

Compiler

Compiled 32 to 24 computations (25% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 3 (.f64 x (fma.f64 x 3 -4)))
1.0ms	x	@	-inf	(.f64 3 (.f64 x (fma.f64 x 3 -4)))
1.0ms	x	@	inf	(.f64 3 (.f64 x (fma.f64 x 3 -4)))
0.0ms	x	@	0	(*.f64 x (fma.f64 x 3 -4))
0.0ms	x	@	-inf	(*.f64 x (fma.f64 x 3 -4))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`pow1_binary64`
601×	`add-log-exp_binary64`
601×	`log1p-expm1-u_binary64`
601×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	144	24
2	1648	24

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

Inputs
(.f64 3 (.f64 x (fma.f64 x 3 -4)))
(*.f64 x (fma.f64 x 3 -4))
(fma.f64 x 3 -4)

Outputs

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

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

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

simplify200.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	288
1	34	288
2	55	252
3	107	234
4	269	234
5	814	234
6	1256	234
7	1720	234
8	1828	234
9	1962	234
10	2134	234
11	2375	234
12	2688	234
13	3058	234
14	3515	234
15	4104	234
16	4818	234
17	5680	234
18	6104	234
19	6418	234
20	6726	234
21	6804	234
22	6840	234

Stop Event

1×	node limit

Counts

83 → 63

Calls

Call 1

Inputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 -4 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
-4
(-.f64 (*.f64 3 x) 4)
(-.f64 (*.f64 3 x) 4)
(-.f64 (*.f64 3 x) 4)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 4)
(-.f64 (*.f64 3 x) 4)
(-.f64 (*.f64 3 x) 4)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 4)
(-.f64 (*.f64 3 x) 4)
(-.f64 (*.f64 3 x) 4)

Outputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
-4
(-.f64 (*.f64 3 x) 4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(-.f64 (*.f64 3 x) 4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(-.f64 (*.f64 3 x) 4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(*.f64 3 x)
(*.f64 x 3)
(-.f64 (*.f64 3 x) 4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(-.f64 (*.f64 3 x) 4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(-.f64 (*.f64 3 x) 4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(*.f64 3 x)
(*.f64 x 3)
(-.f64 (*.f64 3 x) 4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(-.f64 (*.f64 3 x) 4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(-.f64 (*.f64 3 x) 4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)

eval438.0ms (4.9%)

Compiler: Compiled 10401 to 7888 computations (24.2% saved)

prune94.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	593	7	600
Fresh	3	3	6
Picked	0	1	1
Done	4	1	5
Total	600	12	612

Error

0.0b

Counts

612 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.5b	(*.f64 x -12)
▶	0.1b	(+.f64 (.f64 -12 x) (+.f64 3 (+.f64 0 (.f64 9 (*.f64 x x)))))
▶	0.1b	(+.f64 (+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4)) 3)
	0.1b	(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)
✓	0.1b	(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
▶	41.3b	(+.f64 (.f64 (.f64 x 9) x) (*.f64 -12 x))
	20.9b	3
	1.8b	(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
	21.0b	(+.f64 (*.f64 -12 x) 3)
▶	41.3b	(.f64 x (-.f64 (.f64 9 x) 12))
	0.1b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)
✓	42.0b	(.f64 x (.f64 x 9))

Compiler

Compiled 199 to 157 computations (21.1% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -12 x) (+.f64 3 (+.f64 0 (.f64 9 (*.f64 x x)))))
✓	0.2b	(.f64 9 (.f64 x x))

Compiler

Compiled 46 to 29 computations (37% saved)

series2.0ms (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 (.f64 -12 x) (+.f64 3 (+.f64 0 (.f64 9 (*.f64 x x)))))
0.0ms	x	@	inf	(.f64 9 (.f64 x x))
0.0ms	x	@	inf	(+.f64 (.f64 -12 x) (+.f64 3 (+.f64 0 (.f64 9 (*.f64 x x)))))
0.0ms	x	@	0	(+.f64 (.f64 -12 x) (+.f64 3 (+.f64 0 (.f64 9 (*.f64 x x)))))

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`fma-def_binary64`
489×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
286×	`pow2_binary64`
278×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	278	19
2	3423	19

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (+.f64 3 (+.f64 0 (.f64 9 (*.f64 x x)))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))) (/.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 2) (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (/.f64 1 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)) (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)) (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 x (*.f64 -12 (fma.f64 9 (*.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))) (neg.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))) (neg.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x -12 3) 3) (*.f64 729 (pow.f64 x 6))) (+.f64 (pow.f64 (fma.f64 x -12 3) 2) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (*.f64 (*.f64 x x) 144)) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x -12 3) 2) (*.f64 81 (pow.f64 x 4))) (-.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)) (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)) (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (exp.f64 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -12) x) (+.f64 1 (expm1.f64 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egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 9 x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -12) 1 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (*.f64 x x)) 1 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 9 (*.f64 x x) 3) 1 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (*.f64 x x)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 2) (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -12)) (pow.f64 (cbrt.f64 (*.f64 x -12)) 2) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -12)) 2) (cbrt.f64 (*.f64 x -12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) (*.f64 x 3) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -12)) (sqrt.f64 (*.f64 x -12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 729 (pow.f64 x 6)) (/.f64 1 (*.f64 81 (pow.f64 x 4))) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 729 (pow.f64 x 6) 27) (/.f64 1 (fma.f64 (*.f64 9 (*.f64 x x)) (fma.f64 9 (*.f64 x x) -3) 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 81 (pow.f64 x 4))) (/.f64 1 (neg.f64 (*.f64 9 (*.f64 x x)))) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 81 (pow.f64 x 4))) (/.f64 1 (+.f64 3 (*.f64 -9 (*.f64 x x)))) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (/.f64 1 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 x) x (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -12 3) 1 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2) (cbrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9 x) 1) x (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9 x) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x -12 3))))))

simplify162.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
541×	`associate-l_binary64`
540×	`cube-prod_binary64`
528×	`fabs-mul_binary64`
513×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	210
1	28	198
2	49	196
3	94	174
4	204	174
5	548	174
6	1834	174
7	3168	174
8	3374	174
9	3586	174
10	3806	174
11	4119	174
12	4521	174
13	5032	174
14	5599	174
15	6283	174
16	7118	174
17	7508	174
18	7796	174

Stop Event

1×	node limit

Counts

163 → 148

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

localize3.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (-.f64 (.f64 9 x) 12))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (-.f64 (.f64 9 x) 12))
1.0ms	x	@	0	(.f64 x (-.f64 (.f64 9 x) 12))
1.0ms	x	@	inf	(.f64 x (-.f64 (.f64 9 x) 12))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
702×	`add-log-exp_binary64`
702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	155	8
2	1853	8

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 x (-.f64 (.f64 9 x) 12))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 9) x) (*.f64 -12 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 729 (pow.f64 x 3)) -1728) x) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 144 (*.f64 x 108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 81 (*.f64 x x)) -144) x) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 729 (pow.f64 x 3)) -1728)) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 144 (*.f64 x 108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 81 (*.f64 x x)) -144)) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 9 -12)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 9 -12) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12))))))))

simplify194.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3371	90
10	3591	90
11	3904	90
12	4306	90
13	4819	90
14	5387	90
15	6071	90
16	6908	90
17	7304	90
18	7594	90
19	7868	90
20	7944	90
21	7980	90

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x 9) x) (*.f64 -12 x))
✓	0.2b	(.f64 (.f64 x 9) x)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 x 9) x)
0.0ms	x	@	0	(.f64 (.f64 x 9) x)
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x 9) x) (*.f64 -12 x))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 x 9) x) (*.f64 -12 x))
0.0ms	x	@	inf	(.f64 (.f64 x 9) x)

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	15
2	2257	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(.f64 (.f64 x 9) x)
(+.f64 (.f64 (.f64 x 9) x) (*.f64 -12 x))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 2) (*.f64 x (-.f64 (*.f64 x 9) -12))) (/.f64 (*.f64 (*.f64 x x) 144) (*.f64 x (-.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3) (*.f64 (pow.f64 x 3) -1728)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.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) 144)) (/.f64 1 (*.f64 x (-.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.f64 x (*.f64 x 9))))) (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3) (*.f64 (pow.f64 x 3) -1728))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 x 9) -12)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 2) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3) (*.f64 (pow.f64 x 3) -1728)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.f64 x (*.f64 x 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3) (*.f64 (pow.f64 x 3) -1728)) (+.f64 (*.f64 (*.f64 x x) 144) (-.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 2) (*.f64 x (*.f64 (*.f64 x 9) (*.f64 x -12))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 2) (*.f64 (*.f64 x x) 144)) (*.f64 x (-.f64 (*.f64 x 9) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3) (*.f64 (pow.f64 x 3) -1728))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.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) 144))) (neg.f64 (*.f64 x (-.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (*.f64 x (*.f64 x 9)) 2)) (-.f64 (*.f64 x -12) (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 9) x (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -12) (*.f64 x (*.f64 x 9)))))) (#(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 -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -12)) 2) (cbrt.f64 (*.f64 x -12)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 9))) (sqrt.f64 (*.f64 x (*.f64 x 9))) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -12)) (sqrt.f64 (*.f64 x -12)) (*.f64 x (*.f64 x 9)))))))

simplify176.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
542×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	201
1	18	201
2	32	192
3	69	174
4	168	174
5	495	174
6	1761	174
7	3001	174
8	3205	174
9	3417	174
10	3637	174
11	3945	174
12	4347	174
13	4856	174
14	5424	174
15	6112	174
16	6945	174
17	7335	174
18	7621	174
19	7901	174
20	7975	174

Stop Event

1×	node limit

Counts

76 → 58

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4))
✓	0.3b	(.f64 (.f64 3 x) (*.f64 3 x))

Compiler

Compiled 47 to 36 computations (23.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite104.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`pow1_binary64`
866×	`add-log-exp_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
849×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	181	18
2	2442	18

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(.f64 (.f64 3 x) (*.f64 3 x))
(+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 3 x) (fma.f64 3 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 3 x) 4) (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12))) (/.f64 (pow.f64 (*.f64 x -12) 2) (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (+.f64 (*.f64 x (*.f64 3 x)) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (+.f64 (*.f64 x -4) (*.f64 x (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (fma.f64 3 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 3 x) (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4))) 2) (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (*.f64 (cbrt.f64 (*.f64 3 x)) (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 3 x) (sqrt.f64 (*.f64 x -12))) (hypot.f64 (*.f64 3 x) (sqrt.f64 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 x)) (*.f64 (sqrt.f64 (*.f64 3 x)) (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 3 x) 6) (pow.f64 (*.f64 x -12) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 3 x) 4) (-.f64 (pow.f64 (*.f64 x -12) 2) (*.f64 (pow.f64 (*.f64 3 x) 3) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 3 x) 4) (pow.f64 (*.f64 x -12) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x -4) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 3 x) 4) (-.f64 (pow.f64 (*.f64 x -12) 2) (*.f64 (pow.f64 (*.f64 3 x) 3) -4))) (+.f64 (pow.f64 (*.f64 3 x) 6) (pow.f64 (*.f64 x -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12)) (-.f64 (pow.f64 (*.f64 3 x) 4) (pow.f64 (*.f64 x -12) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 6) (pow.f64 (*.f64 x -12) 3)) (+.f64 (pow.f64 (*.f64 3 x) 4) (-.f64 (pow.f64 (*.f64 x -12) 2) (*.f64 (pow.f64 (*.f64 3 x) 3) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 6) (pow.f64 (*.f64 x -12) 3)) (+.f64 (pow.f64 (*.f64 x -12) 2) (-.f64 (pow.f64 (*.f64 3 x) 4) (*.f64 (pow.f64 (*.f64 3 x) 3) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 x) 4) (pow.f64 (*.f64 x -12) 2)) (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 3 x) 6) (pow.f64 (*.f64 x -12) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 3 x) 4) (-.f64 (pow.f64 (*.f64 x -12) 2) (*.f64 (pow.f64 (*.f64 3 x) 3) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 3 x) 4) (pow.f64 (*.f64 x -12) 2))) (neg.f64 (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x -12) 2) (pow.f64 (*.f64 3 x) 4)) (-.f64 (*.f64 x -12) (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 3 x) (sqrt.f64 (*.f64 x -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 3 x) (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (*.f64 3 x)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x -4) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) (*.f64 3 x) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) -4 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (*.f64 3 x) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -12) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 3 x) 4)) (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -12)) 2) (cbrt.f64 (*.f64 x -12)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -12)) (sqrt.f64 (*.f64 x -12)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 9) x (*.f64 x -12))))))

simplify178.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
542×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	201
1	18	201
2	32	192
3	69	174
4	168	174
5	495	174
6	1761	174
7	3001	174
8	3205	174
9	3417	174
10	3637	174
11	3945	174
12	4347	174
13	4856	174
14	5424	174
15	6112	174
16	6945	174
17	7335	174
18	7621	174
19	7901	174
20	7975	174

Stop Event

1×	node limit

Counts

82 → 64

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

eval229.0ms (2.5%)

Compiler: Compiled 4602 to 3381 computations (26.5% saved)

prune50.0ms (0.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	290	4	294
Fresh	2	3	5
Picked	0	1	1
Done	1	5	6
Total	293	13	306

Error

Counts

306 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.3b	(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
✓	61.5b	(*.f64 x -12)
✓	0.1b	(+.f64 (.f64 -12 x) (+.f64 3 (+.f64 0 (.f64 9 (*.f64 x x)))))
✓	0.1b	(+.f64 (+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4)) 3)
✓	0.1b	(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
▶	21.0b	(+.f64 (*.f64 x -12) 3)
	20.9b	3
▶	1.8b	(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
✓	41.3b	(.f64 x (-.f64 (.f64 9 x) 12))
	53.7b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x 9 -12)))
▶	0.1b	(+.f64 (fma.f64 9 (.f64 x x) (.f64 x -12)) 3)
▶	0.1b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)
✓	42.0b	(.f64 x (.f64 x 9))

Compiler

Compiled 181 to 138 computations (23.8% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 9 (.f64 x x) (.f64 x -12))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(fma.f64 9 (.f64 x x) (.f64 x -12))
0.0ms	x	@	-inf	(fma.f64 9 (.f64 x x) (.f64 x -12))
0.0ms	x	@	0	(fma.f64 9 (.f64 x x) (.f64 x -12))

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	143	11
2	1554	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 9 (.f64 x x) (.f64 x -12))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -12) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9 (*.f64 x x)) 1) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9 (*.f64 x x) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) 2) (cbrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) (sqrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9 (*.f64 x x)) 3) (pow.f64 (*.f64 x -12) 3)) (+.f64 (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x))) (*.f64 (*.f64 x x) 144)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))))))))

simplify190.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3371	90
10	3591	90
11	3904	90
12	4306	90
13	4819	90
14	5387	90
15	6071	90
16	6908	90
17	7304	90
18	7594	90
19	7868	90
20	7944	90
21	7980	90

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

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

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

localize42.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x -12) 3)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (*.f64 x -12) 3)
0.0ms	x	@	0	(+.f64 (*.f64 x -12) 3)
0.0ms	x	@	-inf	(+.f64 (*.f64 x -12) 3)

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`pow1_binary64`
598×	`add-log-exp_binary64`
598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
589×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	132	5
2	1568	5

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(+.f64 (*.f64 x -12) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -12 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x -12) 2) (fma.f64 x -12 -3)) (/.f64 9 (fma.f64 x -12 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -12 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -12 3)) (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2) (cbrt.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 27 (*.f64 -1728 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x -12) 2) (-.f64 9 (*.f64 x -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x -12) 2) -9) (/.f64 1 (fma.f64 x -12 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x -12) 2) (-.f64 9 (*.f64 x -36))) (+.f64 27 (*.f64 -1728 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -12 -3) (+.f64 (pow.f64 (*.f64 x -12) 2) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (*.f64 -1728 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -12) 2) (-.f64 9 (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (*.f64 -1728 (pow.f64 x 3))) (+.f64 9 (-.f64 (pow.f64 (*.f64 x -12) 2) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -12) 2) -9) (fma.f64 x -12 -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 27 (*.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x -12) 2) (-.f64 9 (*.f64 x -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x -12) 2) -9)) (neg.f64 (fma.f64 x -12 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (pow.f64 (*.f64 x -12) 2)) (-.f64 3 (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -12 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -12 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -12 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -12 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -12 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -12) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -12)) 2) (cbrt.f64 (*.f64 x -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -12)) (sqrt.f64 (*.f64 x -12)) 3)))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	54
1	9	54
2	10	54

Stop Event

1×

saturated

Counts

44 → 36

Calls

Call 1

Inputs
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (*.f64 -12 x) 3)
(+.f64 (*.f64 -12 x) 3)
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))

Outputs
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x 3))
✓	0.2b	(.f64 3 (.f64 x (*.f64 x 3)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`pow1_binary64`
500×	`add-sqr-sqrt_binary64`
480×	`add-log-exp_binary64`
480×	`log1p-expm1-u_binary64`
480×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	123	14
2	1378	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify227.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	15	168
2	30	168
3	62	168
4	159	168
5	507	168
6	699	168
7	1113	168
8	1213	168
9	1347	168
10	1516	168
11	1761	168
12	2074	168
13	2444	168
14	2901	168
15	3490	168
16	4200	168
17	5064	168
18	5490	168
19	5806	168
20	6112	168
21	6188	168
22	6224	168

Stop Event

1×	node limit

Counts

46 → 26

Calls

Call 1

Inputs
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
	0.2b	(.f64 9 (.f64 x x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
0.0ms	x	@	inf	(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
0.0ms	x	@	-inf	(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`pow1_binary64`
804×	`add-log-exp_binary64`
804×	`log1p-expm1-u_binary64`
804×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	175	10
2	2246	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 9 x) -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 9 x) -12))) (/.f64 (*.f64 (*.f64 x x) 144) (*.f64 x (-.f64 (*.f64 9 x) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 9 x) -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 -12 (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 9 x) -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 (*.f64 9 x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 9 x) -12))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 9 x) -12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 9 x) -12))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 9 x) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 729 (pow.f64 (*.f64 x x) 3)) (*.f64 -1728 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.f64 9 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 144)) (/.f64 1 (*.f64 x (-.f64 (*.f64 9 x) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.f64 9 (*.f64 x x))))) (+.f64 (*.f64 729 (pow.f64 (*.f64 x x) 3)) (*.f64 -1728 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 9 x) -12)) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 729 (pow.f64 (*.f64 x x) 3)) (*.f64 -1728 (pow.f64 x 3))) (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 729 (pow.f64 (*.f64 x x) 3)) (*.f64 -1728 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 9 (*.f64 (*.f64 x x) (*.f64 x -12))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 144)) (*.f64 x (-.f64 (*.f64 9 x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 729 (pow.f64 (*.f64 x x) 3)) (*.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.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) 144))) (neg.f64 (*.f64 x (-.f64 (*.f64 9 x) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 81 (pow.f64 x 4))) (-.f64 (*.f64 x -12) (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (*.f64 9 x) -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 9 x) -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 9 x) -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 9 x) -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 9 x) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 9 x) -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 9 x) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 9 x) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 9 x) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (*.f64 x x)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -12) (*.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 -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -12)) 2) (cbrt.f64 (*.f64 x -12)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) (*.f64 x 3) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -12)) (sqrt.f64 (*.f64 x -12)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 x) x (*.f64 x -12))))))

simplify196.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3371	90
10	3591	90
11	3904	90
12	4306	90
13	4819	90
14	5387	90
15	6071	90
16	6908	90
17	7304	90
18	7594	90
19	7868	90
20	7944	90
21	7980	90

Stop Event

1×	node limit

Counts

52 → 45

Calls

Call 1

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

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

localize174.0ms (1.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 3 x) 4)
✓	0.1b	(.f64 x (-.f64 (.f64 3 x) 4))
✓	0.1b	(.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4)))

Compiler

Compiled 39 to 30 computations (23.1% saved)

series5.0ms (0.1%)

Counts

3 → 27

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4)))
1.0ms	x	@	0	(.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4)))
1.0ms	x	@	-inf	(.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4)))
0.0ms	x	@	-inf	(-.f64 (*.f64 3 x) 4)
0.0ms	x	@	inf	(.f64 x (-.f64 (.f64 3 x) 4))

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`pow1_binary64`
791×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
778×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	176	24
2	2133	24

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4)))
(.f64 x (-.f64 (.f64 3 x) 4))
(-.f64 (*.f64 3 x) 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 3 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 -4 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 9 (*.f64 x x)) -16)) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 (fma.f64 3 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) x) (*.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 x)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 3 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64) x) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16) x) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 9 (*.f64 x x)) -16)) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 3 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 3 x -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 3 x -4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 3 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 3 x -4) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 3 x -4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x -4)) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2) (cbrt.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x -4)) (sqrt.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16) (/.f64 1 (fma.f64 3 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x 4) (+.f64 (*.f64 9 (*.f64 x x)) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64) (+.f64 (*.f64 9 (*.f64 x x)) (-.f64 16 (*.f64 (*.f64 3 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16) (-.f64 (*.f64 3 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16)) (neg.f64 (fma.f64 3 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x -4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x -4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) -4)))))

simplify194.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	243
1	29	243
2	48	225
3	103	189
4	276	189
5	820	189
6	1257	189
7	1721	189
8	1829	189
9	1961	189
10	2133	189
11	2374	189
12	2687	189
13	3059	189
14	3517	189
15	4100	189
16	4808	189
17	5668	189
18	6092	189
19	6408	189
20	6714	189
21	6792	189
22	6828	189

Stop Event

1×	node limit

Counts

94 → 81

Calls

Call 1

Inputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 -4 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
-4
(*.f64 3 x)
(*.f64 3 x)

Outputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(.f64 x (+.f64 (.f64 x 3) -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(.f64 x (+.f64 (.f64 x 3) -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(.f64 x (+.f64 (.f64 x 3) -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(.f64 x (+.f64 (.f64 x 3) -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(.f64 x (+.f64 (.f64 x 3) -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(.f64 x (+.f64 (.f64 x 3) -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(.f64 x (+.f64 (.f64 x 3) -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(.f64 x (+.f64 (.f64 x 3) -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(fma.f64 x -4 (.f64 x (.f64 x 3)))
(.f64 x (+.f64 (.f64 x 3) -4))
(*.f64 x (fma.f64 x 3 -4))
-4
(*.f64 3 x)
(*.f64 x 3)
(*.f64 3 x)
(*.f64 x 3)

eval82.0ms (0.9%)

Compiler: Compiled 3472 to 2623 computations (24.5% saved)

prune94.0ms (1%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	262	2	264
Fresh	0	2	2
Picked	0	1	1
Done	2	8	10
Total	264	13	277

Error

Counts

277 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.3b	(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
✓	61.5b	(*.f64 x -12)
✓	0.1b	(+.f64 (+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4)) 3)
✓	0.1b	(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
	0.1b	(+.f64 (+.f64 (.f64 x -12) (.f64 9 (*.f64 x x))) 3)
✓	21.0b	(+.f64 (*.f64 x -12) 3)
	20.9b	3
✓	1.8b	(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
✓	41.3b	(.f64 x (-.f64 (.f64 9 x) 12))
	53.7b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x 9 -12)))
	41.2b	(fma.f64 (.f64 x x) 9 (.f64 x -12))
✓	0.1b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)
✓	42.0b	(.f64 x (.f64 x 9))

Compiler

Compiled 117 to 89 computations (23.9% saved)

regimes81.0ms (0.9%)

Counts

26 → 1

Calls

Call 1

Inputs
3
(*.f64 x -12)
(+.f64 (*.f64 x -12) 3)
(+.f64 (*.f64 -12 x) 3)
(.f64 x (.f64 x 9))
(.f64 x (-.f64 (.f64 9 x) 12))
(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
(+.f64 (.f64 (.f64 x 9) x) (*.f64 -12 x))
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
(+.f64 (+.f64 (.f64 x -12) (.f64 9 (*.f64 x x))) 3)
(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (+.f64 0 (.f64 9 (*.f64 x x)))))
(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(+.f64 (+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4)) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x x) 9 (.f64 x -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (fma.f64 9 (.f64 x x) (.f64 x -12)) 3)
(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12)) 3)
(fma.f64 x (fma.f64 x 9 -12) 3)
(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x 9 -12)))

Outputs
(+.f64 (fma.f64 9 (.f64 x x) (.f64 x -12)) 3)

Calls

7 calls:

19.0ms	x
14.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
13.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
10.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
6.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))`
0.1b	1	`(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))`
0.1b	1	`(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)`
0.1b	1	`(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))`

Compiler

Compiled 307 to 224 computations (27% saved)

regimes197.0ms (2.2%)

Counts

19 → 1

Calls

Call 1

Inputs
3
(*.f64 x -12)
(+.f64 (*.f64 x -12) 3)
(+.f64 (*.f64 -12 x) 3)
(.f64 x (.f64 x 9))
(.f64 x (-.f64 (.f64 9 x) 12))
(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
(+.f64 (.f64 (.f64 x 9) x) (*.f64 -12 x))
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
(+.f64 (+.f64 (.f64 x -12) (.f64 9 (*.f64 x x))) 3)
(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (+.f64 0 (.f64 9 (*.f64 x x)))))
(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(+.f64 (+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4)) 3)
(*.f64 9 (pow.f64 x 2))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x x) 9 (.f64 x -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))

Outputs
(+.f64 (+.f64 (.f64 x -12) (.f64 9 (*.f64 x x))) 3)

Calls

7 calls:

127.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
21.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
11.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
10.0ms	x
8.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))`
0.1b	1	`(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))`
0.1b	1	`(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)`
0.1b	1	`(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))`

Compiler

Compiled 232 to 169 computations (27.2% saved)

regimes9.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
3
(*.f64 x -12)
(+.f64 (*.f64 x -12) 3)
(+.f64 (*.f64 -12 x) 3)
(.f64 x (.f64 x 9))
(.f64 x (-.f64 (.f64 9 x) 12))
(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
(+.f64 (.f64 (.f64 x 9) x) (*.f64 -12 x))
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)

Outputs
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
1.8b	1	`x`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes18.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
3
(*.f64 x -12)
(+.f64 (*.f64 x -12) 3)
(+.f64 (*.f64 -12 x) 3)
(.f64 x (.f64 x 9))
(.f64 x (-.f64 (.f64 9 x) 12))
(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
(+.f64 (.f64 (.f64 x 9) x) (*.f64 -12 x))

Outputs
(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))
(+.f64 (*.f64 x -12) 3)
(+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 47 to 33 computations (29.8% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	7.135383061402566e-9	13.819111861801696
18.0ms	-41.09187112638979	-0.0016795478457470757

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes16.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
3
(*.f64 x -12)
(+.f64 (*.f64 x -12) 3)
(+.f64 (*.f64 -12 x) 3)
(.f64 x (.f64 x 9))
(.f64 x (-.f64 (.f64 9 x) 12))

Outputs
(.f64 x (-.f64 (.f64 9 x) 12))
(+.f64 (*.f64 x -12) 3)
(.f64 x (-.f64 (.f64 9 x) 12))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	7.135383061402566e-9	13.819111861801696
19.0ms	-41.09187112638979	-0.0016795478457470757

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes17.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
3
(*.f64 x -12)
(+.f64 (*.f64 x -12) 3)
(+.f64 (*.f64 -12 x) 3)
(.f64 x (.f64 x 9))

Outputs
(.f64 x (.f64 x 9))
(+.f64 (*.f64 x -12) 3)
(.f64 x (.f64 x 9))

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	7.135383061402566e-9	13.819111861801696
19.0ms	-41.09187112638979	-0.0016795478457470757

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -40.7b remaining (-194.4%)

Threshold costs -40.7b (-194.4%)

Counts

4 → 1

Calls

Call 1

Inputs
3
(*.f64 x -12)
(+.f64 (*.f64 x -12) 3)
(+.f64 (*.f64 -12 x) 3)

Outputs
3

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
20.9b	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	161
1	52	161
2	53	161

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 9 (.f64 x x) (.f64 x -12)) 3)
(+.f64 (+.f64 (.f64 x -12) (.f64 9 (*.f64 x x))) 3)
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
(if (<=.f64 x -2891583367074461/70368744177664) (+.f64 (.f64 9 (.f64 x x)) (.f64 -12 x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))))
(if (<=.f64 x -2891583367074461/70368744177664) (.f64 x (-.f64 (.f64 9 x) 12)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (.f64 x (-.f64 (*.f64 9 x) 12))))
(if (<=.f64 x -2891583367074461/70368744177664) (.f64 x (.f64 x 9)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (.f64 x (*.f64 x 9))))
3

Outputs
(+.f64 (fma.f64 9 (.f64 x x) (.f64 x -12)) 3)
(+.f64 (+.f64 (.f64 x -12) (.f64 9 (*.f64 x x))) 3)
(+.f64 3 (+.f64 (.f64 x -12) (.f64 9 (*.f64 x x))))
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
(+.f64 3 (.f64 3 (.f64 x (*.f64 x 3))))
(if (<=.f64 x -2891583367074461/70368744177664) (+.f64 (.f64 9 (.f64 x x)) (.f64 -12 x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (+.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x))))
(if (<=.f64 x -2891583367074461/70368744177664) (+.f64 (.f64 x -12) (.f64 9 (.f64 x x))) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (+.f64 (.f64 x -12) (.f64 9 (*.f64 x x)))))
(if (<=.f64 x -2891583367074461/70368744177664) (.f64 x (-.f64 (.f64 9 x) 12)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (.f64 x (-.f64 (*.f64 9 x) 12))))
(if (<=.f64 x -2891583367074461/70368744177664) (.f64 x (+.f64 (.f64 9 x) -12)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (.f64 x (+.f64 (*.f64 9 x) -12))))
(if (<=.f64 x -2891583367074461/70368744177664) (.f64 x (+.f64 -12 (.f64 9 x))) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (.f64 x (+.f64 -12 (*.f64 9 x)))))
(if (<=.f64 x -2891583367074461/70368744177664) (.f64 x (.f64 x 9)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -2891583367074461/70368744177664) (.f64 x (.f64 9 x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (+.f64 (.f64 x -12) 3) (.f64 x (*.f64 9 x))))
3

Compiler

Compiled 119 to 87 computations (26.9% saved)

soundness0.0ms (0%)

end73.0ms (0.8%)

Compiler: Compiled 113 to 79 computations (30.1% saved)