Details

analyze3.1s (9.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	68.7%	0.1%	7
34.3%	65.6%	0.1%	8
37.5%	59.3%	3.2%	9
42.9%	53.5%	3.6%	10
44.5%	50%	5.6%	11
47.8%	45.8%	6.4%	12
48.7%	43.7%	7.6%	13
50.5%	41.3%	8.2%	14

Compiler

Compiled 130 to 81 computations (37.7% saved)

sample6.8s (21.3%)

Results

2.9s	7285×	body	128	valid
2.6s	6154×	body	128	invalid
501.0ms	379×	body	512	valid
487.0ms	327×	body	1024	valid
202.0ms	265×	body	256	valid

Compiler

Compiled 389 to 242 computations (37.8% saved)

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

797×	`distribute-rgt-in_binary64`
779×	`distribute-lft-in_binary64`
203×	`fma-def_binary64`
172×	`associate-+l+_binary64`
168×	`distribute-lft-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	164
1	118	155
2	404	150
3	1778	138
4	5017	138

prune10.0ms (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

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
▶	0.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))

Status

Error

Program

0.5b

(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 2 x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))) (+.f64 (*.f64 x1 x1) 1)) (*.f64 (*.f64 (*.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))) (*.f64 (*.f64 x1 x1) x1)) x1) (*.f64 3 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))))

▶

0.3b

(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (*.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (*.f64 3 (*.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (*.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (*.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (*.f64 (*.f64 x1 x1) 4))) (*.f64 (*.f64 x1 x1) -6)) x1)))))

Compiler

Compiled 679 to 420 computations (38.1% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
✓	0.3b	(.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4)))
✓	3.1b	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
✓	4.4b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

series443.0ms (1.4%)

Counts

4 → 96

Calls

4 calls:

209.0ms	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
137.0ms	(.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4)))
49.0ms	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
48.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

rewrite95.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`add-sqr-sqrt_binary64`
103×	`*-un-lft-identity_binary64`
77×	`times-frac_binary64`
71×	`add-cube-cbrt_binary64`
57×	`prod-diff_binary64`

Counts

4 → 181

Calls

4 calls:

27.0ms	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
22.0ms	(.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4)))
10.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)
7.0ms	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))

simplify260.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

484×	`fma-def_binary64`
458×	`fma-neg_binary64`
411×	`associate-r_binary64`
378×	`associate-l_binary64`
167×	`associate--l+_binary64`

Counts

277 → 351

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	14989
1	1521	13418
2	4981	13418
3	5298	13418

prune1.8s (5.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	340	11	351
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	341	12	353

Error

0.1b

Counts

353 → 12

Alt Table

Status	Error	Program
	0.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4)) (.f64 (.f64 x1 x1) -6)) x1)))))
	52.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 x2 8 (fma.f64 (.f64 x1 x1) 6 (*.f64 12 (/.f64 x2 x1)))) (+.f64 (fma.f64 x1 4 18) (/.f64 12 x1))) x1)))))
	16.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	0.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (+.f64 (fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3) 0)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
	0.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (cbrt.f64 (fma.f64 x1 x1 1))) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	19.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) 3)) x1)))))
▶	0.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	11.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (/.f64 (.f64 x1 (.f64 x2 x2)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1)) 6 (.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1))))))))) (fma.f64 22 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (.f64 x1 x1) 6 (.f64 12 (+.f64 (*.f64 (/.f64 x2 (fma.f64 x1 x1 1)) x1) (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2)))))))) x1)))))
	24.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	25.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	0.6b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1)) (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))) (sqrt.f64 (fma.f64 x1 x1 1))) (.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (hypot.f64 1 x1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6)) x1)))))

Compiler

Compiled 43080 to 26606 computations (38.2% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
✓	0.3b	(.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4)))
✓	3.1b	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
✓	8.8b	(fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)

series400.0ms (1.3%)

Counts

3 → 72

Calls

3 calls:

237.0ms

(+.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (*.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (*.f64 (*.f64 x1 x1) 4))) (*.f64 (*.f64 x1 x1) -6))

130.0ms

(*.f64 (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (*.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (*.f64 (*.f64 x1 x1) 4)))

33.0ms

(fma.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)

rewrite36.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
19×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`

Counts

3 → 72

Calls

3 calls:

13.0ms

(*.f64 (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (*.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (*.f64 (*.f64 x1 x1) 4)))

12.0ms

(+.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (*.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (*.f64 (*.f64 x1 x1) 4))) (*.f64 (*.f64 x1 x1) -6))

0.0ms

(fma.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)

simplify182.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

506×	`fma-neg_binary64`
428×	`fma-def_binary64`
345×	`associate-r_binary64`
334×	`associate-l_binary64`
209×	`*-commutative_binary64`

Counts

144 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	9616
1	1190	9319
2	4697	9295
3	5108	9295

prune1.3s (4.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	241	3	244
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	244	12	256

Error

0.1b

Counts

256 → 12

Alt Table

Status	Error	Program
	16.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	0.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (+.f64 (fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3) 0)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
	0.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (cbrt.f64 (fma.f64 x1 x1 1))) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	25.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	10.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3))) (.f64 (.f64 (.f64 x1 x1) 4) (.f64 (.f64 x1 x1) 4)))) (.f64 (fma.f64 x1 x1 1) (-.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4)))) (.f64 (.f64 x1 x1) -6)) x1)))))
	19.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) 3)) x1)))))
	11.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (/.f64 (.f64 x1 (.f64 x2 x2)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1)) 6 (.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1))))))))) (fma.f64 22 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (.f64 x1 x1) 6 (.f64 12 (+.f64 (*.f64 (/.f64 x2 (fma.f64 x1 x1 1)) x1) (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2)))))))) x1)))))
	52.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 x2 8 (fma.f64 (.f64 x1 x1) 6 (*.f64 12 (/.f64 x2 x1)))) (+.f64 (fma.f64 x1 4 18) (/.f64 12 x1))) x1)))))
	24.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	21.0b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (/.f64 (fma.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 -3 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (+.f64 x1 x1))) (.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 -3 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (+.f64 x1 x1))) (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (/.f64 (pow.f64 (fma.f64 x1 x1 1) 2) (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)))) (.f64 (pow.f64 x1 4) -36)) (fma.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 -3 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (+.f64 x1 x1))) (.f64 (*.f64 x1 x1) 6))) x1)))))
▶	0.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4)) (.f64 (.f64 x1 x1) -6)) x1)))))

Compiler

Compiled 30321 to 18596 computations (38.7% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x1 x1) -6)
	0.3b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
	8.8b	(fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)
✓	9.8b	(fma.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4)) (.f64 (*.f64 x1 x1) -6))

series116.0ms (0.4%)

Counts

2 → 36

Calls

2 calls:

113.0ms

(fma.f64 (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (*.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (*.f64 (*.f64 x1 x1) 4)) (*.f64 (*.f64 x1 x1) -6))

2.0ms

(*.f64 (*.f64 x1 x1) -6)

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`

Counts

2 → 31

Calls

2 calls:

4.0ms

(*.f64 (*.f64 x1 x1) -6)

0.0ms

(fma.f64 (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (*.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (*.f64 (*.f64 x1 x1) 4)) (*.f64 (*.f64 x1 x1) -6))

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-neg_binary64`
455×	`times-frac_binary64`
337×	`cancel-sign-sub-inv_binary64`
289×	`associate-/l*_binary64`
214×	`associate-/r*_binary64`

Counts

67 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	3216
1	535	3047
2	1928	2992
3	4611	2972
4	4943	2972

prune912.0ms (2.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	161	12	173

Error

0.1b

Counts

173 → 12

Alt Table

Status	Error	Program
	16.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (.f64 (.f64 x1 x1) -6)) x1)))))
▶	0.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (+.f64 (fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3) 0)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
	0.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (cbrt.f64 (fma.f64 x1 x1 1))) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	25.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	10.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3))) (.f64 (.f64 (.f64 x1 x1) 4) (.f64 (.f64 x1 x1) 4)))) (.f64 (fma.f64 x1 x1 1) (-.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4)))) (.f64 (.f64 x1 x1) -6)) x1)))))
	19.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) 3)) x1)))))
	11.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (/.f64 (.f64 x1 (.f64 x2 x2)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1)) 6 (.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1))))))))) (fma.f64 22 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (.f64 x1 x1) 6 (.f64 12 (+.f64 (*.f64 (/.f64 x2 (fma.f64 x1 x1 1)) x1) (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2)))))))) x1)))))
	52.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 x2 8 (fma.f64 (.f64 x1 x1) 6 (*.f64 12 (/.f64 x2 x1)))) (+.f64 (fma.f64 x1 4 18) (/.f64 12 x1))) x1)))))
	24.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	21.0b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (/.f64 (fma.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 -3 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (+.f64 x1 x1))) (.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 -3 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (+.f64 x1 x1))) (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (/.f64 (pow.f64 (fma.f64 x1 x1 1) 2) (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)))) (.f64 (pow.f64 x1 4) -36)) (fma.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 -3 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (+.f64 x1 x1))) (.f64 (*.f64 x1 x1) 6))) x1)))))
✓	0.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4)) (.f64 (.f64 x1 x1) -6)) x1)))))

Compiler

Compiled 19287 to 11828 computations (38.7% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1)))
✓	0.6b	(cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))
✓	3.1b	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (+.f64 (fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3) 0)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))
✓	8.9b	(fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3)

series9.1s (28.4%)

Counts

4 → 96

Calls

4 calls:

7.7s	(fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3)
1.3s	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (+.f64 (fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3) 0)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))
71.0ms	(.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1)))
37.0ms	(cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))

rewrite37.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`cbrt-prod_binary64`
31×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
14×	`cbrt-div_binary64`
13×	`add-cube-cbrt_binary64`

Counts

4 → 101

Calls

4 calls:

14.0ms	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (+.f64 (fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3) 0)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))
9.0ms	(.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1)))
2.0ms	(cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))
0.0ms	(fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3)

simplify352.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

396×	`*-commutative_binary64`
349×	`+-commutative_binary64`
304×	`fma-def_binary64`
259×	`sub-neg_binary64`
246×	`associate-+r+_binary64`

Counts

197 → 296

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1266	19532
1	4342	19097
2	4994	19097
3	4941	19097

prune2.5s (7.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	424	0	424
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	424	12	436

Error

0.1b

Counts

436 → 12

Alt Table

Status	Error	Program
	16.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (.f64 (.f64 x1 x1) -6)) x1)))))
✓	0.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (+.f64 (fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3) 0)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
	0.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (cbrt.f64 (fma.f64 x1 x1 1))) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	25.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	10.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3))) (.f64 (.f64 (.f64 x1 x1) 4) (.f64 (.f64 x1 x1) 4)))) (.f64 (fma.f64 x1 x1 1) (-.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4)))) (.f64 (.f64 x1 x1) -6)) x1)))))
	19.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) 3)) x1)))))
	11.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (/.f64 (.f64 x1 (.f64 x2 x2)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1)) 6 (.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1))))))))) (fma.f64 22 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (.f64 x1 x1) 6 (.f64 12 (+.f64 (*.f64 (/.f64 x2 (fma.f64 x1 x1 1)) x1) (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2)))))))) x1)))))
	52.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 x2 8 (fma.f64 (.f64 x1 x1) 6 (*.f64 12 (/.f64 x2 x1)))) (+.f64 (fma.f64 x1 4 18) (/.f64 12 x1))) x1)))))
	24.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	21.0b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (/.f64 (fma.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 -3 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (+.f64 x1 x1))) (.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 -3 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (+.f64 x1 x1))) (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (/.f64 (pow.f64 (fma.f64 x1 x1 1) 2) (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)))) (.f64 (pow.f64 x1 4) -36)) (fma.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 -3 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (+.f64 x1 x1))) (.f64 (*.f64 x1 x1) 6))) x1)))))
✓	0.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)) (.f64 (.f64 x1 x1) 4)) (.f64 (.f64 x1 x1) -6)) x1)))))

Compiler

Compiled 73618 to 48463 computations (34.2% saved)

regimes3.2s (10%)

Accuracy

Total 0.2b remaining (61.5%)

Threshold costs 0.2b (61.5%)

Counts

304 → 1

Compiler

Compiled 129884 to 82840 computations (36.2% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
9×	`+-commutative_binary64`
5×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	136
1	62	136
2	70	136
3	74	136
4	76	136
5	75	136

end906.0ms (2.8%)

Compiler: Compiled 1666 to 1029 computations (38.2% saved)

Details

analyze3.1s (9.9%)

sample6.8s (21.3%)

simplify36.0ms (0.1%)

prune10.0ms (0%)

localize40.0ms (0.1%)

series443.0ms (1.4%)

rewrite95.0ms (0.3%)

simplify260.0ms (0.8%)

prune1.8s (5.7%)

localize36.0ms (0.1%)

series400.0ms (1.3%)

rewrite36.0ms (0.1%)

simplify182.0ms (0.6%)

prune1.3s (4.1%)

localize37.0ms (0.1%)

series116.0ms (0.4%)

rewrite6.0ms (0%)

simplify99.0ms (0.3%)

prune912.0ms (2.9%)

localize50.0ms (0.2%)

series9.1s (28.4%)

rewrite37.0ms (0.1%)

simplify352.0ms (1.1%)

prune2.5s (7.9%)

regimes3.2s (10%)

simplify5.0ms (0%)

end906.0ms (2.8%)

Profiling