Details

analyze3.0s (2%)

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)

sample6.5s (4.4%)

Results

2.8s	7295×	body	128	valid
2.4s	6008×	body	128	invalid
584.0ms	301×	body	1024	valid
512.0ms	389×	body	512	valid
185.0ms	271×	body	256	valid

Compiler

Compiled 389 to 242 computations (37.8% saved)

simplify92.0ms (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

prune11.0ms (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

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.6b	(+.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

0.6b

(+.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)

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)))
✓	0.3b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
✓	3.0b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)
✓	3.8b	(+.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))

series564.0ms (0.4%)

Counts

4 → 96

Calls

4 calls:

243.0ms	(+.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))
219.0ms	(.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)))
52.0ms	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
49.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

rewrite83.0ms (0.1%)

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:

21.0ms	(.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)))
21.0ms	(+.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))
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))))

simplify261.0ms (0.2%)

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 → 352

Iterations

Useful iterations: 1 (0.0ms)

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

prune1.9s (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	342	10	352
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	344	10	354

Error

0.1b

Counts

354 → 10

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)))))
	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 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) x1)))))
	8.6b	(+.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 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 (.f64 x1 (.f64 x1 4)) (.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (pow.f64 x1 4) -16))) (-.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)))))
	23.2b	(+.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 (fma.f64 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	25.2b	(+.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 (sqrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1)) 1) (.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	1.0b	(+.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 9 x1) (.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)))))
	10.7b	(+.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 (fma.f64 8 (/.f64 (.f64 (.f64 x2 x2) x1) (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 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (fma.f64 x1 x1 1)) (.f64 6 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1))))))))) (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)) (.f64 12 (+.f64 (/.f64 (.f64 x2 x1) (fma.f64 x1 x1 1)) (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2))))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	27.4b	(+.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) (+.f64 (pow.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) 3) (pow.f64 (.f64 (.f64 x1 x1) 4) 3))) (.f64 (fma.f64 x1 x1 1) (+.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) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3))) (-.f64 (.f64 (.f64 (.f64 x1 x1) 4) (.f64 (.f64 x1 x1) 4)) (.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)))))
	13.1b	(+.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 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 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 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 6 (pow.f64 x1 2)) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))) x1)))))
	23.0b	(+.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 (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) x1)))))

Compiler

Compiled 43138 to 26629 computations (38.3% saved)

localize37.0ms (0%)

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))))
	3.0b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)
✓	9.3b	(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))

series124.0ms (0.1%)

Counts

2 → 36

Calls

2 calls:

120.0ms

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

5.0ms

(*.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) (-.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))

simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

529×	`fma-neg_binary64`
453×	`times-frac_binary64`
337×	`cancel-sign-sub-inv_binary64`
288×	`associate-/l*_binary64`
212×	`associate-/r*_binary64`

Counts

67 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	3203
1	534	3036
2	1926	2992
3	4597	2972
4	4933	2972

prune1.5s (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	269	10	279

Error

0.1b

Counts

279 → 10

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)))))
▶	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 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) x1)))))
	8.6b	(+.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 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 (.f64 x1 (.f64 x1 4)) (.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (pow.f64 x1 4) -16))) (-.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)))))
	23.2b	(+.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 (fma.f64 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	25.2b	(+.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 (sqrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1)) 1) (.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	1.0b	(+.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 9 x1) (.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)))))
	10.7b	(+.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 (fma.f64 8 (/.f64 (.f64 (.f64 x2 x2) x1) (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 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (fma.f64 x1 x1 1)) (.f64 6 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1))))))))) (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)) (.f64 12 (+.f64 (/.f64 (.f64 x2 x1) (fma.f64 x1 x1 1)) (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2))))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	27.4b	(+.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) (+.f64 (pow.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) 3) (pow.f64 (.f64 (.f64 x1 x1) 4) 3))) (.f64 (fma.f64 x1 x1 1) (+.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) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3))) (-.f64 (.f64 (.f64 (.f64 x1 x1) 4) (.f64 (.f64 x1 x1) 4)) (.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)))))
	13.1b	(+.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 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 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 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 6 (pow.f64 x1 2)) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))) x1)))))
	23.0b	(+.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 (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) x1)))))

Compiler

Compiled 32058 to 19843 computations (38.1% saved)

localize46.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))))
✓	3.0b	(-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)
✓	7.3b	(fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))
✓	8.2b	(cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))

series56.9s (37.9%)

Counts

4 → 96

Calls

4 calls:

53.5s	(.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))))
3.1s	(cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))
176.0ms	(fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))
52.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)

rewrite48.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`add-sqr-sqrt_binary64`
95×	`*-un-lft-identity_binary64`
69×	`add-cube-cbrt_binary64`
61×	`times-frac_binary64`
57×	`prod-diff_binary64`

Counts

4 → 161

Calls

4 calls:

10.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)
4.0ms	(.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))))
1.0ms	(cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))
0.0ms	(fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))

simplify888.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

257 → 250

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5709	163394

prune7.3s (4.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	624	2	626
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	626	10	636

Error

0.0b

Counts

636 → 10

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)))))
	23.1b	(+.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 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))))) x1)))))
	27.4b	(+.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) (+.f64 (pow.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) 3) (pow.f64 (.f64 (.f64 x1 x1) 4) 3))) (.f64 (fma.f64 x1 x1 1) (+.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) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3))) (-.f64 (.f64 (.f64 (.f64 x1 x1) 4) (.f64 (.f64 x1 x1) 4)) (.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)))))
▶	0.5b	(+.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 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (fma.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)))) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) -3))))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) x1)))))
	23.2b	(+.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 (fma.f64 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	25.2b	(+.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 (sqrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1)) 1) (.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	1.0b	(+.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 9 x1) (.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)))))
	10.7b	(+.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 (fma.f64 8 (/.f64 (.f64 (.f64 x2 x2) x1) (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 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (fma.f64 x1 x1 1)) (.f64 6 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1))))))))) (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)) (.f64 12 (+.f64 (/.f64 (.f64 x2 x1) (fma.f64 x1 x1 1)) (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2))))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	13.1b	(+.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 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 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 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 6 (pow.f64 x1 2)) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))) x1)))))
	23.0b	(+.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 (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3)))))) (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))) x1)))))

Compiler

Compiled 274755 to 199053 computations (27.6% saved)

localize56.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.3b	(fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (fma.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)))) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) -3)))))
✓	8.1b	(fma.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)))) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) -3)
	8.2b	(cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) 3))))))
✓	8.2b	(cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 x1 x1) (fma.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)))) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1))) -3))))))

Details

analyze3.0s (2%)

sample6.5s (4.4%)

simplify92.0ms (0.1%)

prune11.0ms (0%)

localize81.0ms (0.1%)

series564.0ms (0.4%)

rewrite83.0ms (0.1%)

simplify261.0ms (0.2%)

prune1.9s (1.3%)

localize37.0ms (0%)

series124.0ms (0.1%)

rewrite6.0ms (0%)

simplify104.0ms (0.1%)

prune1.5s (1%)

localize46.0ms (0%)

series56.9s (37.9%)

rewrite48.0ms (0%)

simplify888.0ms (0.6%)

prune7.3s (4.9%)

localize56.0ms (0%)

series1.2min (47%)

Profiling