Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	37.5%	12.5%	4
62.5%	18.7%	18.8%	5
68.7%	9.4%	21.9%	6
71.8%	4.7%	23.5%	7
73.4%	2.3%	24.3%	8
74.2%	1.2%	24.6%	9
74.6%	0.6%	24.8%	10
74.8%	0.3%	24.9%	11
74.9%	0.1%	25%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.5s (19.9%)

Results

1.5s	8256×	body	256	valid
2.0ms	19×	body	256	invalid

preprocess88.0ms (1.2%)

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)

simplify79.0ms (1.1%)

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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize19.0ms (0.3%)

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))
✓	0.1b	(.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 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
1.0ms	x	@	inf	(.f64 (.f64 x 3) x)
0.0ms	x	@	0	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
0.0ms	x	@	0	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))

rewrite114.0ms (1.5%)

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))))))

simplify208.0ms (2.8%)

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)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (0.8%)

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)))))))

simplify153.0ms (2.1%)

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)

eval211.0ms (2.9%)

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

prune63.0ms (0.9%)

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
	18.3b	3
	0.3b	(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3) 3)
▶	0.1b	(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)
	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
	18.1b	(+.f64 (*.f64 -12 x) 3)
▶	18.1b	(.f64 3 (+.f64 (.f64 x -4) 1))
▶	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
	44.5b	(*.f64 x (fma.f64 x 9 -12))
	22.7b	(fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)
▶	44.5b	(.f64 x (.f64 x 9))
▶	44.5b	(*.f64 9 (pow.f64 x 2))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Compiler

Compiled 208 to 165 computations (20.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

series2.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`pow1_binary64`
764×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
752×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	174	14
2	2006	14

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	135
1	30	123
2	49	121
3	84	99
4	195	99
5	537	99
6	1798	99
7	3138	99
8	3344	99
9	3557	99
10	3777	99
11	4090	99
12	4492	99
13	5001	99
14	5568	99
15	6250	99
16	7087	99
17	7477	99
18	7763	99

Stop Event

1×	node limit

Counts

68 → 65

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 9 x)
(*.f64 9 x)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (.f64 x 9))
1.0ms	x	@	0	(.f64 x (.f64 x 9))
0.0ms	x	@	-inf	(.f64 x (.f64 x 9))

rewrite71.0ms (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))))))))

simplify193.0ms (2.6%)

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))

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite87.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`pow1_binary64`
713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
712×	`add-log-exp_binary64`
701×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	170	7
2	1987	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.2%)

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

34 → 27

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 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`pow1_binary64`
463×	`add-sqr-sqrt_binary64`
454×	`*-un-lft-identity_binary64`
443×	`add-log-exp_binary64`
442×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1268	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.3%)

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`pow1_binary64`
610×	`add-log-exp_binary64`
610×	`log1p-expm1-u_binary64`
610×	`expm1-log1p-u_binary64`
600×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	143	25
2	1607	25

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

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

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

simplify215.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	297
1	43	285
2	71	256
3	130	234
4	307	234
5	870	234
6	1350	234
7	1816	234
8	1925	234
9	2057	234
10	2226	234
11	2469	234
12	2786	234
13	3156	234
14	3611	234
15	4204	234
16	4910	234
17	5770	234
18	6190	234
19	6504	234
20	6810	234
21	6890	234
22	6924	234

Stop Event

1×	node limit

Counts

94 → 77

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

eval110.0ms (1.5%)

Compiler: Compiled 2155 to 1688 computations (21.7% saved)

prune68.0ms (0.9%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	190	6	196
Fresh	2	4	6
Picked	1	0	1
Done	1	4	5
Total	194	14	208

Error

Counts

208 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
	44.5b	(pow.f64 (*.f64 x 3) 2)
✓	18.1b	(.f64 3 (+.f64 (.f64 x -4) 1))
▶	44.9b	(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)
✓	44.5b	(.f64 x (.f64 x 9))
	18.1b	(+.f64 (*.f64 x -12) 3)
	18.3b	3
▶	0.2b	(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12)) 3)
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
▶	44.5b	(*.f64 x (fma.f64 x 9 -12))
	1.6b	(fma.f64 (.f64 x (.f64 3 x)) 3 3)
	22.7b	(fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
▶	61.7b	(*.f64 -12 x)

Compiler

Compiled 223 to 175 computations (21.5% saved)

localize32.0ms (0.4%)

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)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite174.0ms (2.4%)

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))))))

simplify271.0ms (3.7%)

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)

localize3.0ms (0%)

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 9 (.f64 x x))
✓	1.5b	(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)

Compiler

Compiled 28 to 16 computations (42.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)
0.0ms	x	@	0	(.f64 9 (.f64 x x))
0.0ms	x	@	-inf	(.f64 9 (.f64 x x))

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
759×	`add-log-exp_binary64`
758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
746×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	178	14
2	2378	14

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)
(.f64 9 (.f64 x x))

Outputs

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

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

simplify184.0ms (2.5%)

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	168
1	12	168
2	23	168
3	44	168
4	105	168
5	331	168
6	1250	168
7	2123	168
8	2287	168
9	2470	168
10	2678	168
11	2973	168
12	3364	168
13	3847	168
14	4415	168
15	5099	168
16	5934	168
17	6330	168
18	6618	168
19	6894	168
20	6966	168
21	7002	168
22	7943	168

Stop Event

1×	node limit

Counts

102 → 50

Calls

Call 1

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

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

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)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 x (fma.f64 x 9 -12))
1.0ms	x	@	-inf	(*.f64 x (fma.f64 x 9 -12))
0.0ms	x	@	0	(*.f64 x (fma.f64 x 9 -12))

rewrite50.0ms (0.7%)

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))))))))

simplify186.0ms (2.5%)

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))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) 81) -144)
✓	0.1b	(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12)) 3)
✓	0.2b	(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12))
✓	0.3b	(.f64 (.f64 x x) 81)

Compiler

Compiled 59 to 39 computations (33.9% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (.f64 x x) 81)
1.0ms	x	@	0	(.f64 (.f64 x x) 81)
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12))
0.0ms	x	@	0	(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12))
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12))

rewrite89.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
364×	`pow2_binary64`
318×	`prod-diff_binary64`
304×	`fma-def_binary64`
262×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	313	29
2	3932	29

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

Inputs
(.f64 (.f64 x x) 81)
(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12))
(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12)) 3)
(+.f64 (.f64 (.f64 x x) 81) -144)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 81)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 81)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 6561))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 9))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 -12))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 -12)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 9) 12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 81) -144) (/.f64 1 (fma.f64 x 9 12)))))) (#(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 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 2)) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (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 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (neg.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 x (.f64 x 81) -144))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) 1) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (fma.f64 x (.f64 x 81) -144) (cbrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 2)) (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 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (cbrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (fma.f64 x (.f64 x 81) -144) (sqrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 2)) (sqrt.f64 (fma.f64 x 9 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 9) 1 -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 9)) (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 81)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 6561))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (sqrt.f64 x)) (sqrt.f64 x) -12)))))
((#(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 0 (fma.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 2) (-.f64 9 (.f64 (.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)) 2) 9) (fma.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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x 81)) 144)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x 81) -144))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 4) 6561) (fma.f64 x (.f64 x 81) 144)) (/.f64 20736 (fma.f64 x (.f64 x 81) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 81) -144) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 x 81) -144))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 2)) (cbrt.f64 (fma.f64 x (.f64 x 81) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (sqrt.f64 (fma.f64 x (.f64 x 81) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (.f64 x x) 3) 531441 -2985984) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (.f64 (.f64 x x) -11664))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 4) 6561 -20736) (/.f64 1 (fma.f64 x (.f64 x 81) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (.f64 (.f64 x x) -11664)) (fma.f64 (pow.f64 (.f64 x x) 3) 531441 -2985984)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (.f64 x 81) 144) (fma.f64 (pow.f64 x 4) 6561 -20736)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 531441 -2985984) (-.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (.f64 (.f64 x x) -11664)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 531441 -2985984) (fma.f64 (pow.f64 x 4) 6561 (+.f64 20736 (.f64 (.f64 x (.f64 x 81)) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 531441 -2985984) (+.f64 20736 (fma.f64 (pow.f64 x 4) 6561 (neg.f64 (.f64 (.f64 x x) -11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 6561 -20736) (fma.f64 x (.f64 x 81) 144))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 531441 -2985984)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (.f64 (.f64 x x) -11664))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 6561 -20736)) (neg.f64 (fma.f64 x (.f64 x 81) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 20736 (.f64 (pow.f64 x 4) 6561)) (-.f64 -144 (.f64 x (.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 x 81) -144) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (.f64 (.f64 x x) -11664)) (fma.f64 (pow.f64 (.f64 x x) 3) 531441 -2985984)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (fma.f64 (pow.f64 x 4) 6561 -20736)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 x 81) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x 81) -144))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 x 81) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (.f64 x 81) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (.f64 x 81) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 81) -144)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 81) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 9 (.f64 x 9)) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 81 -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 81 (.f64 x x) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x 81)) 1 -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (.f64 x (.f64 x 9)) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 9) (.f64 x 9) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x 81)) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 6561)) (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 81)) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 6561)) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (.f64 (cbrt.f64 (.f64 x 9)) (.f64 x 9)) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 81) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 81)) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 (.f64 3 (sqrt.f64 x)) (.f64 x 9)) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 81) x -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3) (.f64 3 (sqrt.f64 x)) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 81 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 9) x) 9 -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 9) 9) x -144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 9) (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) (cbrt.f64 (.f64 x 9)) -144)))))

simplify189.0ms (2.6%)

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: 3 (0.0ms)

Iter	Nodes	Cost
0	21	351
1	44	339
2	71	327
3	116	315
4	267	315
5	742	315
6	1107	315
7	1548	315
8	1652	315
9	1786	315
10	1958	315
11	2201	315
12	2516	315
13	2888	315
14	3343	315
15	3926	315
16	4638	315
17	5498	315
18	5924	315
19	6240	315
20	6550	315
21	6630	315
22	6666	315

Stop Event

1×	node limit

Counts

200 → 169

Calls

Call 1

Inputs
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (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)
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))))
-144
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(*.f64 81 (pow.f64 x 2))
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(*.f64 81 (pow.f64 x 2))
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)

Outputs
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
-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)
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))
(+.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 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 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 (.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 (.f64 x x) 9))
(*.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))
(+.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 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 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 (.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 (.f64 x x) 9))
(*.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))
(+.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 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
-144
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(fma.f64 81 (*.f64 x x) -144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(fma.f64 81 (*.f64 x x) -144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(fma.f64 81 (*.f64 x x) -144)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(fma.f64 81 (*.f64 x x) -144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(fma.f64 81 (*.f64 x x) -144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(fma.f64 81 (*.f64 x x) -144)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(fma.f64 81 (*.f64 x x) -144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(fma.f64 81 (*.f64 x x) -144)
(-.f64 (*.f64 81 (pow.f64 x 2)) 144)
(fma.f64 81 (*.f64 x x) -144)

eval374.0ms (5.1%)

Compiler: Compiled 11076 to 8482 computations (23.4% saved)

prune118.0ms (1.6%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	623	3	626
Fresh	1	4	5
Picked	0	1	1
Done	2	6	8
Total	626	14	640

Error

Counts

640 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.5b	(.f64 (.f64 x x) 9)
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
✓	44.5b	(.f64 x (.f64 x 9))
▶	18.1b	(+.f64 (*.f64 x -12) 3)
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
▶	44.5b	(.f64 (.f64 x 3) (*.f64 x 3))
▶	44.4b	(.f64 x (-.f64 (.f64 9 x) 12))
✓	61.7b	(*.f64 -12 x)
	18.3b	3
✓	0.2b	(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12)) 3)
✓	18.1b	(.f64 3 (+.f64 (.f64 x -4) 1))
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
▶	1.6b	(fma.f64 (.f64 x (.f64 3 x)) 3 3)
	22.7b	(fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)

Compiler

Compiled 186 to 144 computations (22.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 x (.f64 3 x)) 3 3)
✓	0.1b	(.f64 x (.f64 3 x))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
508×	`add-log-exp_binary64`
508×	`log1p-expm1-u_binary64`
508×	`expm1-log1p-u_binary64`
498×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	122	17
2	1401	17

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(.f64 x (.f64 3 x))
(fma.f64 (.f64 x (.f64 3 x)) 3 3)

Outputs

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

simplify159.0ms (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: 1 (0.0ms)

Iter	Nodes	Cost
0	9	189
1	17	171
2	34	171
3	69	171
4	169	171
5	513	171
6	713	171
7	1127	171
8	1227	171
9	1361	171
10	1533	171
11	1778	171
12	2093	171
13	2463	171
14	2920	171
15	3503	171
16	4217	171
17	5077	171
18	5501	171
19	5815	171
20	6125	171
21	6205	171
22	6241	171

Stop Event

1×	node limit

Counts

57 → 40

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

428×	`pow1_binary64`
415×	`add-sqr-sqrt_binary64`
407×	`*-un-lft-identity_binary64`
399×	`add-log-exp_binary64`
399×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	103	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify181.0ms (2.4%)

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))

localize6.0ms (0.1%)

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

rewrite55.0ms (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)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.8%)

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))))))))

simplify186.0ms (2.5%)

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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x 3))

Compiler

Compiled 13 to 9 computations (30.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`pow1_binary64`
439×	`add-sqr-sqrt_binary64`
431×	`*-un-lft-identity_binary64`
421×	`add-log-exp_binary64`
421×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	105	7
2	1206	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify180.0ms (2.4%)

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

23 → 13

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))

eval45.0ms (0.6%)

Compiler: Compiled 1652 to 1286 computations (22.2% saved)

prune28.0ms (0.4%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	1	1	2
Picked	0	1	1
Done	2	9	11
Total	164	14	178

Error

Counts

178 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.5b	(.f64 (.f64 x x) 9)
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
✓	44.5b	(.f64 x (.f64 x 9))
✓	18.1b	(+.f64 (*.f64 x -12) 3)
✓	44.4b	(.f64 x (-.f64 (.f64 9 x) 12))
✓	61.7b	(*.f64 -12 x)
	44.9b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) 3)
	18.3b	3
	1.6b	(.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 3)
✓	18.1b	(.f64 3 (+.f64 (.f64 x -4) 1))
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
	44.5b	(.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (.f64 x 9) -12)))
✓	1.6b	(fma.f64 (.f64 x (.f64 3 x)) 3 3)
✓	44.5b	(.f64 (.f64 x 3) (*.f64 x 3))

Compiler

Compiled 115 to 90 computations (21.7% saved)

regimes69.0ms (0.9%)

Counts

25 → 1

Calls

Call 1

Inputs
3
(*.f64 -12 x)
(.f64 (.f64 x x) 9)
(+.f64 (*.f64 x -12) 3)
(+.f64 (*.f64 -12 x) 3)
(.f64 x (.f64 x 9))
(.f64 (.f64 x 3) (*.f64 x 3))
(.f64 x (-.f64 (.f64 9 x) 12))
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 3)
(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)
(.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 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (.f64 x 9) -12)))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x (.f64 3 x)) 3 3)
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -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)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) 3)
(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3) 3)
(fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)

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

Calls

7 calls:

14.0ms	x
14.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
13.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
5.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
5.0ms	(+.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 279 to 207 computations (25.8% saved)

regimes34.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
3
(*.f64 -12 x)
(.f64 (.f64 x x) 9)
(+.f64 (*.f64 x -12) 3)
(+.f64 (*.f64 -12 x) 3)
(.f64 x (.f64 x 9))
(.f64 (.f64 x 3) (*.f64 x 3))
(.f64 x (-.f64 (.f64 9 x) 12))
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 3)
(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)
(.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 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (-.f64 (.f64 x 9) -12)))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x (.f64 3 x)) 3 3)

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

Calls

4 calls:

10.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
10.0ms	x
5.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
4.0ms	(.f64 3 (+.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 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))`

Compiler

Compiled 167 to 122 computations (26.9% saved)

regimes12.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 79 to 57 computations (27.8% saved)

regimes10.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 3)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
1.6b	1	`x`

Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes19.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 48 to 35 computations (27.1% saved)

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.10266196555053207	896621062290.804
19.0ms	-0.8676585674290122	-0.48658739821284097

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes16.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	0.10266196555053207	896621062290.804
20.0ms	-336.42660365535187	-0.8676585674290122

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes29.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch65.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.10266196555053207	896621062290.804
32.0ms	-336.42660365535187	-0.8676585674290122

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes23.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 x x) 9)
3
(.f64 (.f64 x x) 9)

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch43.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.10266196555053207	896621062290.804
23.0ms	-0.8676585674290122	-0.48658739821284097

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -43.5b remaining (-238.4%)

Threshold costs -43.5b (-238.4%)

Counts

2 → 1

Calls

Call 1

Inputs
3
(*.f64 -12 x)

Outputs
3

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
18.3b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
9×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`cancel-sign-sub-inv_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	195
1	73	195
2	88	195
3	92	195
4	94	195

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
(.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 3)
(if (<=.f64 x -16005475536724449280/18446744073709551616) (.f64 x (-.f64 (.f64 9 x) 12)) (if (<=.f64 x 1893779004614651648/18446744073709551616) (+.f64 (.f64 x -12) 3) (.f64 x (-.f64 (*.f64 9 x) 12))))
(if (<=.f64 x -2959239700897977/8796093022208) (.f64 x (.f64 x 9)) (if (<=.f64 x 1893779004614651648/18446744073709551616) (+.f64 (.f64 x -12) 3) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -2959239700897977/8796093022208) (.f64 (.f64 x x) 9) (if (<=.f64 x 1893779004614651648/18446744073709551616) (+.f64 (.f64 x -12) 3) (.f64 (*.f64 x x) 9)))
(if (<=.f64 x -16005475536724449280/18446744073709551616) (.f64 (.f64 x x) 9) (if (<=.f64 x 1893779004614651648/18446744073709551616) 3 (.f64 (.f64 x x) 9)))
3

Outputs
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(fma.f64 x (-.f64 (*.f64 x 9) 12) 3)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (.f64 x (.f64 x 3)) (.f64 x 4)) 1))
(.f64 3 (+.f64 (+.f64 (.f64 x (.f64 x 3)) (.f64 x -4)) 1))
(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
(.f64 3 (+.f64 1 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4))))
(.f64 3 (+.f64 1 (+.f64 (.f64 3 (.f64 x x)) (.f64 x -4))))
(.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 3)
(.f64 3 (+.f64 (.f64 x (*.f64 x 3)) 1))
(if (<=.f64 x -16005475536724449280/18446744073709551616) (.f64 x (-.f64 (.f64 9 x) 12)) (if (<=.f64 x 1893779004614651648/18446744073709551616) (+.f64 (.f64 x -12) 3) (.f64 x (-.f64 (*.f64 9 x) 12))))
(if (<=.f64 x -7815173601916235/9007199254740992) (.f64 x (-.f64 (.f64 x 9) 12)) (if (<=.f64 x 7397574236775983/72057594037927936) (+.f64 3 (.f64 x -12)) (.f64 x (-.f64 (*.f64 x 9) 12))))
(if (<=.f64 x -2959239700897977/8796093022208) (.f64 x (.f64 x 9)) (if (<=.f64 x 1893779004614651648/18446744073709551616) (+.f64 (.f64 x -12) 3) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -2959239700897977/8796093022208) (.f64 x (.f64 x 9)) (if (<=.f64 x 7397574236775983/72057594037927936) (+.f64 3 (.f64 x -12)) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -2959239700897977/8796093022208) (.f64 (.f64 x x) 9) (if (<=.f64 x 1893779004614651648/18446744073709551616) (+.f64 (.f64 x -12) 3) (.f64 (*.f64 x x) 9)))
(if (<=.f64 x -2959239700897977/8796093022208) (.f64 9 (.f64 x x)) (if (<=.f64 x 7397574236775983/72057594037927936) (+.f64 3 (.f64 x -12)) (.f64 9 (*.f64 x x))))
(if (<=.f64 x -16005475536724449280/18446744073709551616) (.f64 (.f64 x x) 9) (if (<=.f64 x 1893779004614651648/18446744073709551616) 3 (.f64 (.f64 x x) 9)))
(if (<=.f64 x -7815173601916235/9007199254740992) (.f64 9 (.f64 x x)) (if (<=.f64 x 7397574236775983/72057594037927936) 3 (.f64 9 (.f64 x x))))
3

Compiler

Compiled 145 to 106 computations (26.9% saved)

soundness240.0ms (3.3%)

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

Compiler

Compiled 185 to 151 computations (18.4% saved)

end119.0ms (1.6%)

Compiler: Compiled 137 to 96 computations (29.9% saved)