Details

analyze3.0s (14.4%)

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)

sample6.6s (32.2%)

Results

2.9s	7273×	body	128	valid
2.4s	5829×	body	128	invalid
582.0ms	420×	body	512	valid
413.0ms	295×	body	1024	valid
185.0ms	268×	body	256	valid

Compiler

Compiled 389 to 242 computations (37.8% saved)

simplify34.0ms (0.2%)

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

prune11.0ms (0.1%)

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)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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)))
✓	2.7b	(+.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))
✓	3.9b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

series445.0ms (2.2%)

Counts

4 → 96

Calls

4 calls:

219.0ms	(+.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))
132.0ms	(.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)))
48.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)
46.0ms	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))

rewrite87.0ms (0.4%)

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:

22.0ms	(+.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))
18.0ms	(.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)))
9.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)
6.0ms	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))

simplify244.0ms (1.2%)

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

prune1.4s (6.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	339	12	351
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	340	13	353

Error

0.1b

Counts

353 → 13

Alt Table

Status	Error	Program
	0.7b	(+.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 (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 x1 (.f64 x1 3) (.f64 2 x2)) x1)) (sqrt.f64 (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)))))
	17.3b	(+.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 (sqrt.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))) (sqrt.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)))))
	28.8b	(+.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 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (.f64 (sqrt.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)))))
	0.5b	(+.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)))))
	28.3b	(+.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 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (sqrt.f64 (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 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)))))
	41.2b	(+.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 (pow.f64 (.f64 x1 x1) 3) -216 (pow.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)))) 3)) (fma.f64 (/.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 (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))) (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)))) (fma.f64 (pow.f64 x1 4) 36 (.f64 (.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)))))))) x1)))))
	0.8b	(+.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 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (.f64 (cbrt.f64 (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)))) (cbrt.f64 (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)))))) (cbrt.f64 (+.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)))))
▶	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)))))
	25.3b	(+.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 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	0.7b	(+.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 (cbrt.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))))) (cbrt.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)))))) (cbrt.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)))))
	0.3b	(+.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)))))
	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 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 6 (/.f64 (pow.f64 x1 2) (+.f64 1 (pow.f64 x1 2)))))))))) (+.f64 (.f64 22 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 6 (pow.f64 x1 2)) (+.f64 (.f64 12 (/.f64 (.f64 x2 x1) (+.f64 1 (pow.f64 x1 2)))) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))))) 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 (/.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 (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))) (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 (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 (/.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 44110 to 27256 computations (38.2% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.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)))
✓	2.7b	(+.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))
✓	9.0b	(fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)

series375.0ms (1.8%)

Counts

3 → 72

Calls

3 calls:

223.0ms

(+.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))

120.0ms

(*.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)))

31.0ms

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

rewrite34.0ms (0.2%)

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:

12.0ms

(*.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)))

11.0ms

(+.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)

simplify165.0ms (0.8%)

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

prune1.2s (6.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	240	4	244
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	246	11	257

Error

0.1b

Counts

257 → 11

Alt Table

Status	Error	Program
	28.8b	(+.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 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (.f64 (sqrt.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)))))
	0.5b	(+.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)))))
	19.5b	(+.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 (.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 (-.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 (.f64 x1 x1) -6) (.f64 (.f64 x1 x1) -6))) (-.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)))))
	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 (/.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 (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))) (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 (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 (/.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)))))
	0.6b	(+.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 (cbrt.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))) (cbrt.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)))) (cbrt.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)))))
	25.3b	(+.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 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	0.7b	(+.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 (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 x1 (.f64 x1 3) (.f64 2 x2)) x1)) (sqrt.f64 (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)))))
▶	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)))))
	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 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (+.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))) (fma.f64 x1 x1 1)) (.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 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 6 (/.f64 (pow.f64 x1 2) (+.f64 1 (pow.f64 x1 2)))))))))) (+.f64 (.f64 22 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 6 (pow.f64 x1 2)) (+.f64 (.f64 12 (/.f64 (.f64 x2 x1) (+.f64 1 (pow.f64 x1 2)))) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))))) x1)))))
	28.3b	(+.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 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (sqrt.f64 (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 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 30477 to 18746 computations (38.5% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x1 x1) -6)
	0.2b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
✓	8.2b	(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))
	9.0b	(fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)

series110.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

105.0ms

(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))

4.0ms

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

rewrite7.0ms (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:

5.0ms

(*.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))

simplify98.0ms (0.5%)

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

prune804.0ms (3.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	161	11	172

Error

0.1b

Counts

172 → 11

Alt Table

Status	Error	Program
	28.8b	(+.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 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (.f64 (sqrt.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)))))
	0.5b	(+.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 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (+.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))) (fma.f64 x1 x1 1)) (.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 (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 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (cbrt.f64 (.f64 (.f64 x1 x1) -6))) (cbrt.f64 (.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 (cbrt.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))) (cbrt.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)))) (cbrt.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)))))
	25.3b	(+.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 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	0.7b	(+.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 (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 x1 (.f64 x1 3) (.f64 2 x2)) x1)) (sqrt.f64 (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)))))
✓	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)))))
	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 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 6 (/.f64 (pow.f64 x1 2) (+.f64 1 (pow.f64 x1 2)))))))))) (+.f64 (.f64 22 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 6 (pow.f64 x1 2)) (+.f64 (.f64 12 (/.f64 (.f64 x2 x1) (+.f64 1 (pow.f64 x1 2)))) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))))) x1)))))
	19.5b	(+.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 (.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 (-.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 (.f64 x1 x1) -6) (.f64 (.f64 x1 x1) -6))) (-.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)))))
	28.3b	(+.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 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (sqrt.f64 (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 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 19301 to 11900 computations (38.3% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (cbrt.f64 (.f64 (*.f64 x1 x1) -6)))
✓	8.2b	(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 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (cbrt.f64 (.f64 (.f64 x1 x1) -6))) (cbrt.f64 (.f64 (*.f64 x1 x1) -6))))
	9.0b	(fma.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (/.f64 1 (fma.f64 x1 x1 1)) -3)
✓	23.9b	(cbrt.f64 (.f64 (.f64 x1 x1) -6))

series264.0ms (1.3%)

Counts

3 → 48

Calls

3 calls:

132.0ms

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

67.0ms

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

64.0ms

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

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
7×	`pow1/3_binary64`

Counts

3 → 54

Calls

3 calls:

4.0ms

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

3.0ms

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

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

613×	`associate-l_binary64`
330×	`cancel-sign-sub-inv_binary64`
213×	`associate-/l*_binary64`
203×	`times-frac_binary64`
193×	`fma-def_binary64`

Counts

102 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3923
1	550	3679
2	1910	3557
3	5038	3557

prune897.0ms (4.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	168	2	170
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	170	11	181

Error

0.1b

Counts

181 → 11

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) (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)))))
	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 (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 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6))))) (cbrt.f64 (.f64 (.f64 x1 x1) -6)))) x1)))))
	28.8b	(+.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 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (.f64 (sqrt.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)))))
	0.5b	(+.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 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (+.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))) (fma.f64 x1 x1 1)) (.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 (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 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (cbrt.f64 (.f64 (.f64 x1 x1) -6))) (cbrt.f64 (.f64 (.f64 x1 x1) -6)))) x1)))))
	0.7b	(+.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 (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 x1 (.f64 x1 3) (.f64 2 x2)) x1)) (sqrt.f64 (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)))))
	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 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 6 (/.f64 (pow.f64 x1 2) (+.f64 1 (pow.f64 x1 2)))))))))) (+.f64 (.f64 22 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 6 (pow.f64 x1 2)) (+.f64 (.f64 12 (/.f64 (.f64 x2 x1) (+.f64 1 (pow.f64 x1 2)))) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))))) x1)))))
	28.3b	(+.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 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (sqrt.f64 (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 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)))))
	25.3b	(+.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 x1 (-.f64 (*.f64 6 x1) 4)) 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 (cbrt.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))) (cbrt.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)))) (cbrt.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)))))

Compiler

Compiled 20839 to 12798 computations (38.6% saved)

regimes3.8s (18.4%)

Accuracy

Total 0.2b remaining (65.1%)

Threshold costs 0.2b (65.1%)

Counts

320 → 1

Compiler

Compiled 145460 to 91848 computations (36.9% saved)

simplify4.0ms (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

end684.0ms (3.3%)

Compiler: Compiled 1601 to 1026 computations (35.9% saved)

Details

analyze3.0s (14.4%)

sample6.6s (32.2%)

simplify34.0ms (0.2%)

prune11.0ms (0.1%)

localize36.0ms (0.2%)

series445.0ms (2.2%)

rewrite87.0ms (0.4%)

simplify244.0ms (1.2%)

prune1.4s (6.9%)

localize41.0ms (0.2%)

series375.0ms (1.8%)

rewrite34.0ms (0.2%)

simplify165.0ms (0.8%)

prune1.2s (6.1%)

localize35.0ms (0.2%)

series110.0ms (0.5%)

rewrite7.0ms (0%)

simplify98.0ms (0.5%)

prune804.0ms (3.9%)

localize39.0ms (0.2%)

series264.0ms (1.3%)

rewrite10.0ms (0%)

simplify85.0ms (0.4%)

prune897.0ms (4.4%)

regimes3.8s (18.4%)

simplify4.0ms (0%)

end684.0ms (3.3%)

Profiling