Details

analyze2.9s (6.7%)

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)

sample7.2s (16.6%)

Results

3.0s	7227×	body	128	valid
2.4s	6086×	body	128	invalid
1.1s	342×	body	1024	valid
439.0ms	416×	body	512	valid
188.0ms	271×	body	256	valid

Compiler

Compiled 389 to 242 computations (37.8% saved)

simplify29.0ms (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

prune13.0ms (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)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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))))
✓	2.3b	(+.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))
✓	4.2b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

series424.0ms (1%)

Counts

4 → 96

Calls

4 calls:

201.0ms	(+.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))
126.0ms	(.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)))
50.0ms	(-.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))))

rewrite83.0ms (0.2%)

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 (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)))
18.0ms	(+.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))
14.0ms	(-.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 (0.6%)

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

prune1.3s (3.1%)

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
	2.2b	(+.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 6 (.f64 x2 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)))))
	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)))))
	6.3b	(+.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) (-.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 x1 x1) 4) (.f64 (.f64 x1 x1) 4)))) (.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)))))
▶	0.4b	(+.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) (fma.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (cbrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	8.3b	(+.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 (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)))))
	8.1b	(+.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 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 (.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 (/.f64 (-.f64 (fma.f64 2 x2 (.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)))))
	53.1b	(+.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 (fma.f64 x2 8 (.f64 (*.f64 x1 x1) 6)) (fma.f64 x1 4 18)) x1)))))
	22.3b	(+.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)))))
	22.7b	(+.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)))))
	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))) 1) (.f64 (/.f64 (cbrt.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 (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 (.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))) 1) (/.f64 (cbrt.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 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (.f64 (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))) (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))))) (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)))))

Compiler

Compiled 43332 to 26762 computations (38.2% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (cbrt.f64 (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))))
✓	2.3b	(+.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 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (cbrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))
✓	7.1b	(fma.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (*.f64 2 x2)) x1) (cbrt.f64 (fma.f64 x1 x1 1))) -3)

series925.0ms (2.1%)

Counts

3 → 72

Calls

3 calls:

363.0ms

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

325.0ms

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

237.0ms

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

rewrite41.0ms (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:

19.0ms

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

0.0ms

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

simplify212.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

473×	`fma-neg_binary64`
433×	`fma-def_binary64`
312×	`associate-r_binary64`
298×	`associate-l_binary64`
210×	`*-commutative_binary64`

Counts

144 → 186

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	11461
1	1202	10991
2	4649	10959
3	5027	10959

prune1.3s (3.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	241	12	253

Error

0.1b

Counts

253 → 12

Alt Table

Status	Error	Program
	2.2b	(+.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 6 (.f64 x2 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)))))
	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)))))
	6.3b	(+.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) (-.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 x1 x1) 4) (.f64 (.f64 x1 x1) 4)))) (.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)))))
✓	0.4b	(+.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) (fma.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (cbrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	8.3b	(+.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 (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)))))
	8.1b	(+.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 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 (.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 (/.f64 (-.f64 (fma.f64 2 x2 (.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)))))
	53.1b	(+.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 (fma.f64 x2 8 (.f64 (*.f64 x1 x1) 6)) (fma.f64 x1 4 18)) x1)))))
	22.3b	(+.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)))))
	22.7b	(+.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)))))
	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))) 1) (.f64 (/.f64 (cbrt.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 (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 (.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))) 1) (/.f64 (cbrt.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 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (.f64 (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))) (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))))) (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)))))

Compiler

Compiled 33220 to 20633 computations (37.9% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.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)))
✓	0.6b	(cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))
✓	2.3b	(+.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 (.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))) 1) (/.f64 (cbrt.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))
✓	7.3b	(fma.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))) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (*.f64 2 x2)) x1)) (fma.f64 x1 x1 1)) -3)

series7.4s (17.3%)

Counts

4 → 96

Calls

4 calls:

6.3s	(fma.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))) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (*.f64 2 x2)) x1)) (fma.f64 x1 x1 1)) -3)
1.1s	(+.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 (.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))) 1) (/.f64 (cbrt.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))
62.0ms	(.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)))
33.0ms	(cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))

rewrite33.0ms (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:

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 (.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))) 1) (/.f64 (cbrt.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 (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)))
2.0ms	(cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))
0.0ms	(fma.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))) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (*.f64 2 x2)) x1)) (fma.f64 x1 x1 1)) -3)

simplify251.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

393×	`*-commutative_binary64`
351×	`+-commutative_binary64`
307×	`fma-def_binary64`
258×	`sub-neg_binary64`
248×	`associate-+r+_binary64`

Counts

197 → 326

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1263	19574
1	4329	19139
2	5081	19139

prune2.9s (6.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	471	3	474
Fresh	3	7	10
Picked	1	0	1
Done	0	1	1
Total	475	11	486

Error

0.1b

Counts

486 → 11

Alt Table

Status	Error	Program
	2.2b	(+.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 6 (.f64 x2 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)))))
	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)))))
	6.3b	(+.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) (-.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 x1 x1) 4) (.f64 (.f64 x1 x1) 4)))) (.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)))))
▶	0.5b	(+.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) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.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))) 1) (/.f64 (cbrt.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))) (cbrt.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)))))
✓	0.4b	(+.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) (fma.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (cbrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	8.1b	(+.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 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 (.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 (/.f64 (-.f64 (fma.f64 2 x2 (.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)))))
	53.1b	(+.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 (fma.f64 x2 8 (.f64 (*.f64 x1 x1) 6)) (fma.f64 x1 4 18)) x1)))))
	26.1b	(+.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 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (/.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 3 x1) (.f64 x2 2)) x1))) 3)) 1) (/.f64 (cbrt.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)))))
	22.3b	(+.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)))))
	22.7b	(+.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)))))
	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) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.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))) 1) (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1)))) (cbrt.f64 (cbrt.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 81411 to 54289 computations (33.3% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.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))) (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))))
	0.6b	(cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))
✓	2.3b	(+.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 (.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))) 1) (/.f64 (cbrt.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))) (cbrt.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))
✓	7.3b	(fma.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))) 1) (/.f64 (cbrt.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))) (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (*.f64 2 x2)) x1)))) (fma.f64 x1 x1 1)) -3)

series8.5s (19.7%)

Counts

3 → 72

Calls

3 calls:

6.9s

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

1.6s

(+.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 (*.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))) 1) (/.f64 (cbrt.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))) (cbrt.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))

44.0ms

(cbrt.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))) (cbrt.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1))))

rewrite50.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64`
28×	`frac-times_binary64`
27×	`flip--_binary64`
27×	`flip3--_binary64`
14×	`associate-*l/_binary64`

Counts

3 → 64

Calls

3 calls:

16.0ms

(+.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 (*.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))) 1) (/.f64 (cbrt.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))) (cbrt.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))

12.0ms

(cbrt.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))) (cbrt.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1))))

0.0ms

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

simplify323.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

333×	`*-commutative_binary64`
294×	`+-commutative_binary64`
261×	`fma-def_binary64`
214×	`associate-+r+_binary64`
200×	`sub-neg_binary64`

Counts

136 → 229

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1106	17541
1	3638	16827
2	4903	16761
3	4977	16761

prune3.9s (9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	599	0	599
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	599	11	610

Error

0.1b

Counts

610 → 11

Alt Table

Status	Error	Program
	2.2b	(+.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 6 (.f64 x2 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)))))
	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)))))
	6.3b	(+.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) (-.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 x1 x1) 4) (.f64 (.f64 x1 x1) 4)))) (.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)))))
✓	0.5b	(+.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) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.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))) 1) (/.f64 (cbrt.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))) (cbrt.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)))))
✓	0.4b	(+.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) (fma.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 x1 x1 1)) (cbrt.f64 (fma.f64 x1 x1 1)))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (cbrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	8.1b	(+.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 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 (.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 (/.f64 (-.f64 (fma.f64 2 x2 (.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)))))
	53.1b	(+.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 (fma.f64 x2 8 (.f64 (*.f64 x1 x1) 6)) (fma.f64 x1 4 18)) x1)))))
	26.1b	(+.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 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (/.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 3 x1) (.f64 x2 2)) x1))) 3)) 1) (/.f64 (cbrt.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)))))
	22.3b	(+.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)))))
	22.7b	(+.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)))))
	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) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.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))) 1) (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1))) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1)))) (cbrt.f64 (cbrt.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 112377 to 74931 computations (33.3% saved)

regimes4.2s (9.7%)

Accuracy

Total 0.2b remaining (59.5%)

Threshold costs 0.2b (59.5%)

Counts

356 → 1

Compiler

Compiled 163516 to 104448 computations (36.1% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
10×	`+-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	41	161
1	66	161
2	74	161
3	78	161
4	80	161
5	79	161

end629.0ms (1.5%)

Compiler: Compiled 1549 to 969 computations (37.4% saved)

Details

analyze2.9s (6.7%)

sample7.2s (16.6%)

simplify29.0ms (0.1%)

prune13.0ms (0%)

localize31.0ms (0.1%)

series424.0ms (1%)

rewrite83.0ms (0.2%)

simplify260.0ms (0.6%)

prune1.3s (3.1%)

localize40.0ms (0.1%)

series925.0ms (2.1%)

rewrite41.0ms (0.1%)

simplify212.0ms (0.5%)

prune1.3s (3.1%)

localize38.0ms (0.1%)

series7.4s (17.3%)

rewrite33.0ms (0.1%)

simplify251.0ms (0.6%)

prune2.9s (6.8%)

localize40.0ms (0.1%)

series8.5s (19.7%)

rewrite50.0ms (0.1%)

simplify323.0ms (0.7%)

prune3.9s (9%)

regimes4.2s (9.7%)

simplify5.0ms (0%)

end629.0ms (1.5%)

Profiling