Details

analyze5.9s (14.5%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	98.3%	1.7%	9
0%	98.1%	1.9%	10
0%	97.2%	2.8%	11
0%	96.7%	3.3%	12
0%	96.1%	3.9%	13
0%	95.9%	4.1%	14

Compiler

Compiled 130 to 81 computations (37.7% saved)

sample22.4s (55.1%)

Results

18.1s	6275×	body	8192	exit
3.0s	7226×	body	128	valid
472.0ms	427×	body	512	valid
455.0ms	317×	body	1024	valid
210.0ms	286×	body	256	valid
86.0ms	206×	body	128	invalid

Compiler

Compiled 389 to 242 computations (37.8% saved)

simplify31.0ms (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
	0.5b	(+.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)

localize38.0ms (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)))
✓	0.2b	(.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))
✓	3.1b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

series431.0ms (1.1%)

Counts

4 → 96

Calls

4 calls:

204.0ms	(+.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))
129.0ms	(.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 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
48.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

rewrite85.0ms (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:

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)))
20.0ms	(+.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))))

simplify247.0ms (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 (3.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	341	10	351
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	342	11	353

Error

0.0b

Counts

353 → 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 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)) x1)))))
	24.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (/.f64 (fma.f64 (/.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)))))
	0.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (+.f64 (fma.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3) 0)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	28.5b	(+.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 (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)))))
	16.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	21.4b	(+.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 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 (-.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)))))
	0.5b	(+.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 (fma.f64 (/.f64 1 (hypot.f64 1 x1)) (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (hypot.f64 1 x1)) -3) 0)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	16.2b	(+.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 (cbrt.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) (-.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)) (+.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))) (+.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)))))
	12.2b	(+.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 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)))))

Compiler

Compiled 43392 to 26820 computations (38.2% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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))))
	0.2b	(.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 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (*.f64 x1 x1) -6))
✓	3.1b	(+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3)

series350.0ms (0.9%)

Counts

3 → 72

Calls

3 calls:

221.0ms

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

77.0ms

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

51.0ms

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

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
26×	`fma-def_binary64`
18×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`

Counts

3 → 80

Calls

3 calls:

8.0ms

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

7.0ms

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

5.0ms

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

simplify142.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

503×	`fma-neg_binary64`
442×	`times-frac_binary64`
435×	`fma-def_binary64`
231×	`+-commutative_binary64`
182×	`associate-+r+_binary64`

Counts

152 → 184

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	7905
1	1086	7433
2	3989	7407
3	5163	7407

prune1.4s (3.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	234	5	239
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	238	12	250

Error

0.0b

Counts

250 → 12

Alt Table

Status	Error	Program
	21.4b	(+.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 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	13.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 (.f64 x1 4) (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (fma.f64 3 (.f64 x1 x1) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) -3) 3)) (+.f64 x1 x1)))) (fma.f64 x1 x1 1)) (.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 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)) x1)))))
	16.2b	(+.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 (cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)) (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6))) (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)))) x1)))))
	24.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (/.f64 (fma.f64 (/.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)))))
	0.4b	(+.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 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 (.f64 x1 4) (.f64 (fma.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1))) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1)) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))) (fma.f64 x1 x1 1)) (.f64 (*.f64 x1 x1) -6)) x1)))))
	28.5b	(+.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 (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)))))
	16.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	0.6b	(+.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 2 x2 (.f64 3 (.f64 x1 x1))) x1) (.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 (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 x1 1)) (.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 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) (/.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 (fma.f64 x1 x1 1))) (.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)))))
	12.2b	(+.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 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)))))

Compiler

Compiled 28981 to 17443 computations (39.8% saved)

localize148.0ms (0.4%)

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))))
	3.1b	(+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3)
✓	8.5b	(fma.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) (/.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 (fma.f64 x1 x1 1))) (.f64 (.f64 x1 x1) -6))

series165.0ms (0.4%)

Counts

2 → 36

Calls

2 calls:

162.0ms

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

3.0ms

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

rewrite11.0ms (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:

8.0ms

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

0.0ms

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

simplify99.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-neg_binary64`
441×	`times-frac_binary64`
337×	`cancel-sign-sub-inv_binary64`
288×	`associate-/l*_binary64`
204×	`associate-/r*_binary64`

Counts

67 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	3346
1	536	3091
2	1916	3012
3	4659	2992
4	4932	2992

prune926.0ms (2.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	181	3	184
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	184	12	196

Error

0.0b

Counts

196 → 12

Alt Table

Status	Error	Program
	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 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) (/.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 (fma.f64 x1 x1 1))) (.f64 (.f64 (.f64 x1 x1) (*.f64 (cbrt.f64 -6) (cbrt.f64 -6))) (cbrt.f64 -6))) x1)))))
	21.4b	(+.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 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	13.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 (.f64 x1 4) (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (fma.f64 3 (.f64 x1 x1) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) -3) 3)) (+.f64 x1 x1)))) (fma.f64 x1 x1 1)) (.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 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)) x1)))))
	16.2b	(+.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 (cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)) (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6))) (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)))) x1)))))
	1.3b	(+.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 (fma.f64 x2 (.f64 x1 6) (.f64 (.f64 x1 x1) -3)) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) (/.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 (fma.f64 x1 x1 1))) (.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 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3) (+.f64 x1 x1))) (sqrt.f64 (fma.f64 x1 x1 1))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	28.5b	(+.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 (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)))))
	16.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	0.6b	(+.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 2 x2 (.f64 3 (.f64 x1 x1))) x1) (.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 (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 x1 1)) (.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)))))
	12.2b	(+.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 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)))))

Compiler

Compiled 22871 to 13878 computations (39.3% saved)

localize47.0ms (0.1%)

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))))
✓	7.6b	(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3)
✓	8.5b	(fma.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3) (+.f64 x1 x1))) (sqrt.f64 (fma.f64 x1 x1 1))) (.f64 (.f64 x1 x1) -6))

series241.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

172.0ms

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

69.0ms

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

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 20

Calls

2 calls:

0.0ms

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

0.0ms

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

simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

593×	`fma-neg_binary64`
429×	`cancel-sign-sub-inv_binary64`
274×	`sub-neg_binary64`
251×	`associate-/l*_binary64`
231×	`fma-def_binary64`

Counts

68 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	4393
1	603	3898
2	2084	3692
3	4654	3672
4	4961	3672

prune954.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	161	12	173

Error

0.0b

Counts

173 → 12

Alt Table

Status	Error	Program
	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 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) (/.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 (fma.f64 x1 x1 1))) (.f64 (.f64 (.f64 x1 x1) (*.f64 (cbrt.f64 -6) (cbrt.f64 -6))) (cbrt.f64 -6))) x1)))))
	21.4b	(+.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 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	13.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 (.f64 x1 4) (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (fma.f64 3 (.f64 x1 x1) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) -3) 3)) (+.f64 x1 x1)))) (fma.f64 x1 x1 1)) (.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 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)) x1)))))
	16.2b	(+.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 (cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)) (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6))) (+.f64 (/.f64 (.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 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 x1 x1 1)) (.f64 (.f64 x1 x1) -6)))) x1)))))
	1.3b	(+.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 (fma.f64 x2 (.f64 x1 6) (.f64 (.f64 x1 x1) -3)) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) (/.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 (fma.f64 x1 x1 1))) (.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 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (fma.f64 x1 (.f64 x1 4) (.f64 (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3) (+.f64 x1 x1))) (sqrt.f64 (fma.f64 x1 x1 1))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	28.5b	(+.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 (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)))))
	16.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (.f64 (.f64 x1 x1) -6)) x1)))))
	0.6b	(+.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 2 x2 (.f64 3 (.f64 x1 x1))) x1) (.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 (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 x1 1)) (.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)))))
	12.2b	(+.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 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)))))

Compiler

Compiled 19511 to 11972 computations (38.6% saved)

regimes4.7s (11.6%)

Accuracy

Total 0.2b remaining (63.8%)

Threshold costs 0.2b (63.8%)

Counts

392 → 1

Compiler

Compiled 171168 to 107856 computations (37% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
8×	`+-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	137
1	61	137
2	69	137
3	73	137
4	75	137
5	74	137

end854.0ms (2.1%)

Compiler: Compiled 1707 to 1074 computations (37.1% saved)

Details

analyze5.9s (14.5%)

sample22.4s (55.1%)

simplify31.0ms (0.1%)

prune11.0ms (0%)

localize38.0ms (0.1%)

series431.0ms (1.1%)

rewrite85.0ms (0.2%)

simplify247.0ms (0.6%)

prune1.3s (3.2%)

localize45.0ms (0.1%)

series350.0ms (0.9%)

rewrite30.0ms (0.1%)

simplify142.0ms (0.3%)

prune1.4s (3.4%)

localize148.0ms (0.4%)

series165.0ms (0.4%)

rewrite11.0ms (0%)

simplify99.0ms (0.2%)

prune926.0ms (2.3%)

localize47.0ms (0.1%)

series241.0ms (0.6%)

rewrite4.0ms (0%)

simplify112.0ms (0.3%)

prune954.0ms (2.3%)

regimes4.7s (11.6%)

simplify5.0ms (0%)

end854.0ms (2.1%)

Profiling