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)

sample813.0ms (11.7%)

Results

799.0ms	8256×	body	256	valid
1.0ms	10×	body	256	invalid

preprocess89.0ms (1.3%)

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)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(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))
✓	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 49 to 35 computations (28.6% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite115.0ms (1.7%)

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))))))

simplify210.0ms (3%)

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	@	0	(fma.f64 x 9 -12)
0.0ms	x	@	-inf	(fma.f64 x 9 -12)

rewrite57.0ms (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)))))))

simplify154.0ms (2.2%)

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)

eval236.0ms (3.4%)

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

prune85.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	426	13	439
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	427	14	441

Error

Counts

441 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
	23.7b	(fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)
	20.2b	(+.f64 (*.f64 -12 x) 3)
▶	42.9b	(*.f64 9 (pow.f64 x 2))
	20.4b	3
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
	52.6b	(fma.f64 x (pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2) 3)
	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
▶	20.2b	(.f64 3 (+.f64 (.f64 x -4) 1))
▶	0.2b	(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))
	0.8b	(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)
	0.1b	(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
	53.4b	(fma.f64 x (expm1.f64 (log1p.f64 (fma.f64 x 9 -12))) 3)
▶	42.9b	(.f64 x (.f64 x 9))

Compiler

Compiled 272 to 219 computations (19.5% saved)

localize9.0ms (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)

rewrite62.0ms (0.9%)

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)))))

simplify149.0ms (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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.7%)

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))))))))

simplify173.0ms (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	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))

localize8.0ms (0.1%)

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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.8%)

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)))))

simplify9.0ms (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

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)

localize5.0ms (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)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 9 (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 9 (pow.f64 x 2))
0.0ms	x	@	-inf	(*.f64 9 (pow.f64 x 2))

rewrite47.0ms (0.7%)

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))))))))

simplify9.0ms (0.1%)

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

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))
✓	0.2b	(.f64 x (.f64 x 3))
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	18.3b	(sqrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 73 to 55 computations (24.7% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 x 3)))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
0.0ms	x	@	inf	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	0	(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))
0.0ms	x	@	-inf	(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log-prod_binary64`
600×	`fma-def_binary64`
393×	`fma-neg_binary64`
326×	`pow2_binary64`
223×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	312	34
2	3719	32

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

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

simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

737×	`unswap-sqr_binary64`
558×	`fma-neg_binary64`
504×	`fma-def_binary64`
357×	`sqr-pow_binary64`
273×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	562
1	50	362
2	103	360
3	244	338
4	964	338
5	1821	338
6	3337	338
7	3966	338
8	4709	338
9	5259	338
10	5845	338
11	6781	338

Stop Event

1×	node limit

Counts

164 → 120

Calls

Call 1

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

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

eval87.0ms (1.3%)

Compiler: Compiled 3209 to 2558 computations (20.3% saved)

prune42.0ms (0.6%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	229	10	239
Fresh	8	0	8
Picked	0	1	1
Done	1	4	5
Total	238	15	253

Error

Counts

253 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.2b	(.f64 3 (+.f64 (.f64 x -4) 1))
	23.7b	(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 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x x) 3) (.f64 x 4)) 1))
✓	0.2b	(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))
✓	42.9b	(.f64 x (.f64 x 9))
▶	0.2b	(.f64 3 (+.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 2) (*.f64 x 4)) 1))
	20.2b	(+.f64 (*.f64 x -12) 3)
	20.4b	3
▶	43.3b	(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
▶	61.7b	(*.f64 -12 x)
	54.9b	(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
▶	42.9b	(pow.f64 (*.f64 x 3) 2)

Compiler

Compiled 240 to 195 computations (18.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 24 computations (25% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
805×	`add-log-exp_binary64`
805×	`log1p-expm1-u_binary64`
805×	`expm1-log1p-u_binary64`
792×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	175	36
2	2165	36

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

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

simplify201.0ms (2.9%)

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	20	414
1	43	402
2	71	364
3	131	324
4	307	324
5	878	324
6	1358	324
7	1824	324
8	1933	324
9	2065	324
10	2237	324
11	2482	324
12	2799	324
13	3169	324
14	3629	324
15	4212	324
16	4920	324
17	5784	324
18	6208	324
19	6524	324
20	6832	324
21	6910	324
22	6946	324

Stop Event

1×	node limit

Counts

131 → 104

Calls

Call 1

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

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

localize2.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 9 (.f64 x x))
✓	1.8b	(-.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	@	inf	(.f64 9 (.f64 x x))
0.0ms	x	@	0	(.f64 9 (.f64 x x))

rewrite70.0ms (1%)

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)))))

simplify202.0ms (2.9%)

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))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`pow1_binary64`
464×	`add-sqr-sqrt_binary64`
455×	`*-un-lft-identity_binary64`
442×	`add-log-exp_binary64`
441×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1307	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

simplify203.0ms (2.9%)

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

34 → 24

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))

localize83.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 2) (.f64 x 4))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 2) (*.f64 x 4)) 1))
✓	0.4b	(*.f64 (sqrt.f64 3) x)
✓	0.4b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)

Compiler

Compiled 57 to 47 computations (17.5% saved)

series7.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
1.0ms	x	@	-inf	(.f64 3 (+.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 2) (*.f64 x 4)) 1))
1.0ms	x	@	0	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
0.0ms	x	@	0	(-.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 2) (.f64 x 4))
0.0ms	x	@	inf	(.f64 3 (+.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 2) (*.f64 x 4)) 1))

rewrite222.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
481×	`fma-def_binary64`
329×	`fma-neg_binary64`
320×	`pow2_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	290	39
2	3660	39

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

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

simplify223.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

738×	`unswap-sqr_binary64`
733×	`sqr-pow_binary64`
650×	`cube-prod_binary64`
596×	`fabs-mul_binary64`
527×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	510
1	47	315
2	100	304
3	244	264
4	878	264
5	1686	264
6	2994	264
7	3240	264
8	3437	264
9	3655	264
10	3906	264
11	4240	264
12	4670	264
13	5189	264
14	5846	264
15	6679	264
16	7145	264
17	7547	264
18	7887	264

Stop Event

1×	node limit

Counts

255 → 234

Calls

Call 1

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

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

eval231.0ms (3.3%)

Compiler: Compiled 7177 to 5461 computations (23.9% saved)

prune121.0ms (1.7%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	403	9	412
Fresh	2	3	5
Picked	1	0	1
Done	4	5	9
Total	410	17	427

Error

Counts

427 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
▶	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x x) 3) (.f64 x 4)) 1))
▶	2.2b	(+.f64 (.f64 x (.f64 x 9)) 3)
	42.9b	(.f64 (.f64 (*.f64 x 3) 3) x)
✓	42.9b	(.f64 x (.f64 x 9))
	20.2b	(+.f64 (*.f64 x -12) 3)
✓	61.7b	(*.f64 -12 x)
▶	42.9b	(.f64 (.f64 x x) 9)
▶	42.9b	(.f64 (.f64 x 3) (*.f64 x 3))
	51.9b	(.f64 (.f64 (*.f64 9 x) (sqrt.f64 x)) (sqrt.f64 x))
	54.9b	(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
▶	0.1b	(fma.f64 (*.f64 3 x) (fma.f64 x 3 -4) 3)
✓	20.2b	(.f64 3 (+.f64 (.f64 x -4) 1))
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
	14.1b	(.f64 3 (+.f64 (-.f64 (cbrt.f64 (.f64 27 (pow.f64 x 6))) (*.f64 x 4)) 1))
	20.4b	3
	0.1b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)

Compiler

Compiled 248 to 194 computations (21.8% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
592×	`add-log-exp_binary64`
592×	`log1p-expm1-u_binary64`
592×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	143	12
2	1578	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify159.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	126
1	28	114
2	49	112
3	93	90
4	203	90
5	549	90
6	1834	90
7	3158	90
8	3364	90
9	3577	90
10	3797	90
11	4111	90
12	4513	90
13	5026	90
14	5593	90
15	6281	90
16	7118	90
17	7510	90
18	7796	90

Stop Event

1×	node limit

Counts

33 → 30

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))))

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)

localize9.0ms (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
1.0ms	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)

rewrite60.0ms (0.9%)

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))))))))

simplify196.0ms (2.8%)

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))

localize10.0ms (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
1.0ms	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))

rewrite58.0ms (0.8%)

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))))))

simplify190.0ms (2.7%)

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))

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 30 computations (38.8% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite171.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`fma-def_binary64`
556×	`log-prod_binary64`
393×	`fma-neg_binary64`
332×	`pow-prod-down_binary64`
299×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	256	44
2	3372	36

Stop Event

1×	node limit

Counts

4 → 339

Calls

Call 1

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

simplify261.0ms (3.8%)

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

387 → 359

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)

eval442.0ms (6.4%)

Compiler: Compiled 8258 to 6454 computations (21.8% saved)

prune123.0ms (1.8%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	456	4	460
Fresh	3	4	7
Picked	0	1	1
Done	2	7	9
Total	461	16	477

Error

Counts

477 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.2b	(+.f64 (.f64 x (.f64 x 9)) 3)
	42.9b	(.f64 (.f64 (*.f64 x 3) 3) x)
✓	42.9b	(.f64 x (.f64 x 9))
	20.2b	(+.f64 (*.f64 x -12) 3)
	20.4b	3
	0.1b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)
	14.1b	(.f64 3 (+.f64 (-.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 27)) (*.f64 x 4)) 1))
✓	61.7b	(*.f64 -12 x)
✓	42.9b	(.f64 (.f64 x x) 9)
✓	42.9b	(.f64 (.f64 x 3) (*.f64 x 3))
	51.9b	(.f64 (.f64 (*.f64 9 x) (sqrt.f64 x)) (sqrt.f64 x))
	54.9b	(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
✓	20.2b	(.f64 3 (+.f64 (.f64 x -4) 1))
✓	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x x) 3) (.f64 x 4)) 1))
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
	0.1b	(+.f64 (.f64 (.f64 3 x) (fma.f64 3 x -4)) 3)

Compiler

Compiled 134 to 105 computations (21.6% saved)

regimes148.0ms (2.1%)

Counts

38 → 1

Calls

Call 1

Inputs
3
3
3
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 (.f64 x 9)) 3)
(.f64 (.f64 (*.f64 x 3) 3) x)
(.f64 (.f64 x 3) (*.f64 x 3))
(.f64 3 (+.f64 (.f64 x -4) 1))
(-.f64 (+.f64 1 (.f64 9 (.f64 x x))) 1)
(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x x) 3) (.f64 x 4)) 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))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(+.f64 (.f64 (.f64 3 x) (fma.f64 3 x -4)) 3)
(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(fma.f64 x (fma.f64 x 9 -12) 3)
(.f64 (.f64 (*.f64 9 x) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (*.f64 3 x) (fma.f64 x 3 -4) 3)
(.f64 3 (+.f64 (-.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 27)) (*.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (cbrt.f64 (.f64 27 (pow.f64 x 6))) (*.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 2) (*.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))
(fma.f64 x (expm1.f64 (log1p.f64 (fma.f64 x 9 -12))) 3)
(fma.f64 x (pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)
(fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 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
(+.f64 (.f64 (.f64 3 x) (fma.f64 3 x -4)) 3)

Calls

7 calls:

33.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
30.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
25.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
18.0ms	x
9.0ms	(+.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 397 to 305 computations (23.2% saved)

regimes91.0ms (1.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

43.0ms	x
12.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
12.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
5.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
4.0ms	(+.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 207 to 154 computations (25.6% saved)

regimes61.0ms (0.9%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

7 calls:

15.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
12.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
11.0ms	x
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 199 to 148 computations (25.6% saved)

regimes12.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.2b	1	`x`

Compiler

Compiled 67 to 49 computations (26.9% saved)

regimes21.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch69.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.011197212236638863	9857139.476794438
51.0ms	-16.758399484866253	-0.10478967179874492

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes15.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
2.2b	3	`x`

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.011197212236638863	9857139.476794438
21.0ms	-16.758399484866253	-0.10478967179874492

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes6.0ms (0.1%)

Accuracy

Total -41.4b remaining (-203.3%)

Threshold costs -41.4b (-203.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
3

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
20.4b	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	112
1	51	112
2	53	112

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 3 x) (fma.f64 3 x -4)) 3)
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)
(+.f64 (.f64 x (.f64 x 9)) 3)
(if (<=.f64 x -2358535052355299/140737488355328) (.f64 (.f64 x x) 9) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 (.f64 x -12) 3) (.f64 (*.f64 x x) 9)))
(if (<=.f64 x -2358535052355299/140737488355328) (.f64 (.f64 x x) 9) (if (<=.f64 x 3227376694816969/288230376151711744) 3 (.f64 (.f64 x x) 9)))
3

Outputs
(+.f64 (.f64 (.f64 3 x) (fma.f64 3 x -4)) 3)
(+.f64 3 (.f64 (.f64 3 x) (fma.f64 3 x -4)))
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(fma.f64 x (+.f64 (*.f64 x 9) -12) 3)
(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4))) 3)
(+.f64 3 (.f64 3 (.f64 x (+.f64 (*.f64 3 x) -4))))
(+.f64 (.f64 x (.f64 x 9)) 3)
(+.f64 3 (.f64 x (.f64 x 9)))
(if (<=.f64 x -2358535052355299/140737488355328) (.f64 (.f64 x x) 9) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 (.f64 x -12) 3) (.f64 (*.f64 x x) 9)))
(if (<=.f64 x -2358535052355299/140737488355328) (.f64 9 (.f64 x x)) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 3 (.f64 x -12)) (.f64 9 (*.f64 x x))))
(if (<=.f64 x -2358535052355299/140737488355328) (.f64 (.f64 x x) 9) (if (<=.f64 x 3227376694816969/288230376151711744) 3 (.f64 (.f64 x x) 9)))
(if (<=.f64 x -2358535052355299/140737488355328) (.f64 9 (.f64 x x)) (if (<=.f64 x 3227376694816969/288230376151711744) 3 (.f64 9 (.f64 x x))))
3

Compiler

Compiled 86 to 63 computations (26.7% saved)

soundness0.0ms (0%)

end54.0ms (0.8%)

Compiler: Compiled 80 to 56 computations (30% saved)